Do you wonder how long it takes to deliver your speech?

This website helps you convert the number of words into the time it takes to deliver your speech, online and for free. This tool is useful when preparing a speech or a presentation. The number of minutes you will take is dependent on the number of words and your speed of speech, or reading speed.

Note: This calculator provides an indication only.

Enter details below

The overview below provides an indication of the minutes for a speech (based on an average reading speed of 130 words per minute):

  • Words in a 1 minute speech 130 words
  • Words in a 2 minute speech 260 words
  • Words in a 3 minute speech 390 words
  • Words in a 4 minute speech 520 words
  • Words in a 5 minute speech 650 words
  • Words in a 10 minute speech 1300 words
  • Words in a 15 minute speech 1950 words
  • Words in a 20 minute speech 2600 words
  • How long does a 500 word speech take? 3.8 minutes
  • How long does a 1000 word speech take? 7.7 minutes
  • How long does a 1250 word speech take? 9.6 minutes
  • How long does a 1500 word speech take? 11.5 minutes
  • How long does a 1750 word speech take? 13.5 minutes
  • How long does a 2000 word speech take? 15.4 minutes
  • How long does a 2500 word speech take? 19.2 minutes
  • How long does a 5000 word speech take? 38.5 minutes

convert words to time .

How long will it take to read a speech or presentation?

Enter the word count into the tool below (or paste in text) to see how many minutes it will take you to read. Estimates number of minutes based on a slow, average, or fast paced reading speed.

Number of words

Reading speed

1100 words in minutes speech

Common conversions (average speed)

Other tools.

Prepared.FYI - Find deals on emergency preparedness, camping, and survival products and equipment 🏕️

Grammarly - Grammar, plagiarism, and spell checker.

Hemingway - Editor to make your writing bold and clear.

Power Thesaurus - Simple crowdsourced thesaurus.

Wake Up Time - Fall asleep and actually wake up refreshed.

Copy Arrow - An organized set for easy copying.

Micron Pens - Amazing pens for writing and illustration.

Block Rocker - Portable event speaker with microphone 🎤

TED Talks - The official TED guide to public speaking.

These tools are awesome, and the affiliate income helps keep the site online.

If you've found this tool helpful, please consider paying it forward to keep it ad free!

As a bonus you'll go down in history listed on one of the coolest sites around :)

Want to learn how to make websites like this?

There's some really cool stuff in the works... Enter your email to be the first to know when it's ready!

Enter your email to be the first to know when some really cool stuff is ready...

Enter your email to be notified of some really cool stuff that's in the works...

SoFi Invest

My name is Spencer, and I actually work here ↑

Looking for the easiest way to grow your business in 2020?

Get more traffic, more sales, and more reviews effortlessly.

Boost your online reviews and become the obvious choice for new customers.

Convert Words to Time

Calculate how long it will take to read a speech or presentation

Enter the word count of your speech below to see how long it will take you to read. Estimate the number of minutes based on a slow, average, or fast speaking pace.

Number of words

Reading speed, common conversions (average speed).

Convert words to time

Word per minute speech

Enter the number of words in the box below to find out how many minutes it will take you to give your speech.

Word Counter

Paste your text here to find out the word count

Word Count: 0

Online Stopwatch

Time your speech on a timer for the actual time it takes you to deliver your speech, practice.

Our tool comes in handy when you are preparing for a speech or creating a presentation. The length of your speech depends on the amount of text and your speaking or reading speed.

Debatrix International

Speech calculator:  how long does it take to deliver your speech?

With this speech calculator, you can easily calculate how long it will take you to deliver a speech.

How many words per minute?

In the English language, people speak about 140 words per minute. A fast speaker will get to 170 words per minute, a slow speaker will use around 110 words.

Professional speechwriters use this speech calculator to find out how long a speech takes.

speech calculator

Copy your full text and paste it in the box below:

The entire analysis happens within your browser. The text will NOT be stored and NOT be sent over the web.

Word count:

Your speech rate:

Speech duration:

FAQ’s

How many words is a 3 minute speech  .

A speaker with an average speaking speed will need 420 words for a 3 minute speech. A fast speaker will need 510 words while a slow speaker will only need 330 words.

How many words is a 5 minute speech?  

A speaker with an average speaking speed will need 700 words for a 5 minutes speech. A fast speaker will need 850 words for the same speech length. A slow speaker will only need 550 words.

Is this a word count calculator?  

The speech calculator is a word count calculator. Insert your text and the tool will automatically calculate the word count.  It will then also calculate the speech length depending on the selected talking speed.

How to best select the right speaking speed?

Fast, average or slow? The answer depends on the speaker, the speech type and the speech setting.

The speaking speed of the speaker

Some speakers are natural fast or slow speakers. The best speakers keep a variance during their speeches. They speed up to keep momentum and slow down to put special emphasis on other parts.

The speech type

The type of speech matters a lot in selecting the right speech speed. If you read the whole speech word for word from paper then your average speech speed will be lower. If you intend to use the written speech as speaker notes then your average speaking speed will be much higher.

The speech setting

An informal setting will have a faster average speaking speed compared to a more formal setting.

Keeping all three factors in mind you will able make a better judgement about selecting the right speech speed in the speech calculator.

  • January 2024
  • August 2023
  • January 2021
  • December 2020
  • October 2020
  • September 2020
  • Client case
  • Persuasion tip

1100 words in minutes speech

Debatrix is a leading expert in (remote) persuasive communication. Based in Europe, we offer executive coaching, persuasion consulting and trainings on TED-worthy presenting, how to influence and inspire, storytelling, debating, framing and dealing with difficult questions.

We value your privacy

Privacy overview.

1100 words in minutes speech

Updated on November 26, 2023

Words to Time Calculator

Words to time calculator is online tool that convert words to time in minutes. It can be used to calculate speech time or convert words into time.

Enter Number of Words or paste text for auto-counting

Reading speed

Words to Speech Time Conversion (average speed)

What is words to time converter.

The words to time converter is a calculator that helps users find the speed at which they recognize and form words while communicating with others. The platform works on a standard formula that enables you to find the words per minute conveniently.

Whether it’s about solving the speed in typing or speaking, or reading, one can easily calculate the exact value using this tool. For calculating the words per Minute here, all you have to do is, simply enter number of words or paste text for auto word counter and select speed to get speech time instantly. Once you have successfully entered all the values in the provided space very carefully, the words-to-minutes calculator will automatically display the speech time in minutes for you.

This words to time calculator has following reading speed options:

  • Slow: 100 words per minute
  • Average:  130 words per minute
  • Fast: 160 words per minute.

Words to time converter is a fundamental tool designed to assist people looking forward to converting the number of words into the time taken to deliver your speech. The tool is available online and offline, making it easier for people to prepare their speeches or presentations effectively. The number of minutes required for the address depends upon the number of words and speed of vocabulary or reading.

How to Convert Words to Time

To convert words to time in minutes, follow below steps:

  • Enter number of words or paste text for auto counting words in text.
  • Select reading speed for speech from slow, average and fast options.
  • Now, words to time converter displays speech time in minutes instantly.

Words to Pages Converter

Numbers to Words Converter

Characters to Words Converter

Words To Speech Time Calculator

Speech Time Conversion for fast reading speed

Have you ever thought about how many words you must have in your speech to make it perfect? Finding out the number of words to speak per Minute to ensure that your audience will follow up your speed is quite hard.

Although these questions seem entirely pointless, they can prove advantageous in different situations. This Words to speech time in minutes converter can be your best friend and offer excellent assistance anytime.

Writing a speech is a bit of a challenging task. Ideally, one needs to consider the different factors to put things on the platform. When considering essentials for the address, time is a primary concern that comes forward. Interest, knowledge, attitude, and quality are the few things that push the audience to stay connected with your speech till the end. The length of the address is something that also needs to be considered to put on a positive impact on the audience.

So, guys! You have learned how to use words to the minute converter on your device successfully. It is a beautiful tool whose integration has made it easier for users to conveniently find their reading and speaking speed.

Related Tools

Number to words converter Have you got fed up with converting numbers to words manually?…

Characters to Words Conversion tool Easily convert characters into words with this tool. It can…

Are you looking forward to a perfect Words to pages converter? The job of a…

What Is Character Counter? Do you ever find yourself struggling to stay within the character…

Words to Minutes Converter

Enter Number of words or paste text for auto-counting

Reading speed

Words to Minutes Speech Time Conversion (average speed)

Words to Minutes Converter or speech time calculator: Paste text or enter the word count below to estimate how many minutes it will take you to read or how long to give a speech.

Words to Minutes converter allows you to calculate speech time in minutes, hours and secconds. Copy Paste your text or enter number of words to get speech time in real time.

What is Words to Minutes Converter

Are you giving a speech, or reading something aloud? Do you need to know how long it will take to speak a certain number of words? Are you dictating a paper, an article, or a book and want to know how many minutes it will take to meet a desired word count? Use the above calculator to convert words to minutes based on a slow, average and fast paces reading speed.

How to Convert Words to Minutes

  • Enter Number of words or paste text from your document.
  • Select speaking time speed from slow, average and fast options.
  • It displays speech time in minutes based on speed of reading time.
  • It also displays how long does it take to read number of words in tabular format.

That’s it.

Related Tools

Word Counter – Count Words online instantly with our Word Count online tool. It also displays number of words, characters, paragraphs, lines and many additional information of block of text.

Text cleaner  – Use this clean text online tool to remove spaces,, duplicate lines, strip HTML tags, characters, whitespaces, text format and change convert case.  It’s very useful to perform many simple and complex text operations in a single click.

Character Count  – This simple online character count tool can easily count characters and words from your text with additional features including text case converter and store data locally in browser.

Diff Checker  – Quickly check difference and compare 2 text files online with this diff checker tool.

Find and Replace Online  – Find text and replace with your own text or characters online using find and replace online text tool.

Last Updated on March 29, 2024

Free Tools to Improve Your Workflow

  • Text Formatter
  • Remove Numbers from Text
  • Random Vocabulary Words Generator
  • Character Count

Words to Minutes

Welcome to the "Words to Minutes" tool! This tool allows you to estimate how long it will take you to read a piece of text out loud. Simply enter the number of words in your text and the tool will give you an estimate of the time it will take you to read it.

Speaking Time Calculator

Reading speed

Reading Time:

How words to minutes calculator works.

In this tool, you can convert words to time instantly and tells you how long does it take to read your speech. This tool only shows estimated text time to speak it may be very person by person.

  • Input your speech number of words into box.
  • Select your reading speech generally 130wpm average for most of people but you can change if you are a slow or fast reader.
  • Now you can see estimated time of reading on green color.

Overview of minutes for a speech

(based on average reading speed)

Here are a few tips to help you get the most accurate estimate

  • Read at a natural pace: Don't try to rush through the text or speak too slowly. Just read at a pace that feels comfortable and natural for you.
  • Consider your speaking style: Some people speak more quickly or slowly than others. If you know that you tend to speak at a faster or slower pace than the average person, you may want to adjust the estimate accordingly.
  • Take breaks as needed: If you're reading a long piece of text, it's okay to take breaks to rest your voice. Just remember to factor in any breaks when you're using the tool.

Introducing Speech Time Calculate

Estimate how many minutes your speeches, presentations, and voice-over scripts will take based on your words per minute rate!

How To Speech Time Calculate Using This Tool?

If you have a certain number of words or a piece of text you want to time, you can either type in the word count or paste the text into the provided area. This tool will then calculate how long it would take to read that text out loud.

The talk time estimate is calculated using the average speaking speed of adults, which is determined to be 183 words per minute based on scientific studies. If you’re interested in how long it would take to read silently, it’s estimated at 238 words per minute ( This data is also backed by research )

You can adjust the slider to change the words per minute value, which will affect the talk time estimate. However, the silent reading time estimate remains fixed at 238 words per minute.

For ease of use, we’ve also provided reference points for slow, average, and fast reading rates below the slider.

To begin anew, simply click the ‘clear text’ button to erase the content and restore the slider back to its original setting of 183.

Who is This Words to Minutes Converter Tool For?

If you are a student wondering how long is my essay or you’ve been tasked with writing a speech and need to know how many words to aim for and how many minutes will it take to deliver or perhaps you are a podcaster, just starting out, who wants the ability to easily synchronize music and spoken word without having to painstakingly calculate seconds between them, then this Speech Time Calculate is precisely for you!

From now on, instead of spending long hours in front of the computer trying to figure out how many seconds it takes for one phrase or section of dialogue to end and another to begin, you can let our innovative tool do all the work and convert your text to time quickly and accurately. With this powerful tool at your disposal, whether you’re giving a TED talk or just need to nail a business presentation, your life will become a little bit easier.

So keep reading to learn more about what this fantastic words to minutes converter has in store for public speakers, aspiring students, and professional radio producers alike!

Whether you want to read the text silently or speak aloud, you can use this tool as both:

  • Reading time calculator
  • Talk time calculator

Explanation of the Reading Time

Reading time refers to the duration it takes for an average person to read a written text silently while still comprehending its content. Based on an extensive analysis of 190 studies that involved 18,573 participants , research conducted by Marc Brysbaert in 2019 suggests that the typical silent reading speed for an adult individual is approximately 238 words per minute .

To convert word count to read time for a specific text, you can do so by dividing the total word count of the text by this established value of 238. Here is the mathematical equation for determining the duration of reading time in minutes:

Reading Time = Total Word Count / 238

Explanation of the Speech Time

Speech time refers to the duration it takes for an average person to read a text out loud. Based on data from 77 studies involving 5,965 people , it’s been found that most adults read aloud at a speed of approximately 183 words per minute ( research conducted by Marc Brysbaert in 2019 ). To figure out how long it will take to read a specific piece of text aloud, you can divide the total number of words in the text by this average rate of 183 words per minute.

Of course, it’s important to note that talk time can vary depending on factors such as clarity of speech, pauses for emphasis, and use of visual aids. However, using this tool for converting the number of words to minutes can still provide a helpful guideline for planning and practicing your presentation. By having a better understanding of speech rates, you can ensure that your message is delivered effectively and efficiently.

Benefits of Using a Speech Time Calculate

Time management in presentations.

Effective time management during presentations is crucial to ensure the audience remains engaged and the information is accurately conveyed. This is where our words to speaking time converter comes in handy. By using this tool, presenters can easily determine how many words they need to include in their presentation to stay within the allotted time frame.

Not only does it help with time management, but it also ensures that the pacing of the presentation is consistent, making it easier for the audience to follow. With the use of this presentation time calculator, presenters can confidently deliver their presentations without the worry of running over time or rushing through it.

Estimated speech time for public speaking

Public speaking can be nerve-wracking, especially when you have too little or too much information to fill your time slot. You wonder only if there were an accurate public speaking time calculator available so that you could be able to allocate the appropriate amount of time to each section of your presentation, ensuring that you cover all the necessary points without rushing or going over time.

Effective pacing is key in ensuring your message is delivered with clarity and impact.

Most public speakers target an average of 130-150 words per minute for their spoken content, meaning you should aim to limit your speaking time to roughly one minute per 130-150 words. While this may take some practice to achieve, the end result is a confident, well-timed delivery that keeps your audience engaged from start to finish.

Remember, in public speaking, less is often more—take your time to breathe and emphasize key points. Your audience will appreciate your thoughtful and measured approach. For that, you can use this tool and adjust your words to speech time.

Accurate estimations for audiobooks and podcasts

As more and more people turn to audiobooks and podcasts for their entertainment and information needs, accurate estimations of listening time have become more important than ever. After all, there’s nothing worse than settling in for a quick listen only to find yourself trapped in a story that goes on for hours longer than you anticipated.

That’s why it’s great to see publishers and podcast producers taking estimated reading time seriously, providing listeners with the information they need to choose the right content for their schedule. Whether you’re looking for a quick listen on your daily commute or a lengthy distraction for a lazy Sunday afternoon, accurate estimations using this words to speak time calculator make it easier than ever to find the perfect content.

Some Popular Speech Times

how many words in a 2 minute speech

Almost 300 words

how many words in a 3 minute speech

Almost 450 words

how many words in a 4 minute speech

Almost 600 words

how many words in a 15 minute speech

Almost 2250 words

The speech time is calculated taking 150 words per minute as reference value

Common conversions (average speed)

How long does it take to read 500 words?

3.8 minutes

How long does it take to read 750 words?

5.8 minutes

How long does it take to read 1000 words?

7.7 minutes

How long does it take to read 1200 words?

9.2 minutes

How long does it take to read 1500 words?

11.5 minutes

How long does it take to read 1800 words?

13.8 minutes

How long does it take to read 2000 words?

15.4 minutes

How long does it take to read 3000 words?

23.1 minutes

As the world becomes more fast-paced, time is a precious commodity. Determining how long your script will take to read, whether for a presentation or a video, can make a significant difference in engaging and retaining your audience’s attention.

That’s where our Words to Time Converter comes in handy. It’s a valuable tool for anyone working in various professions, from broadcast journalists to teachers to executives. No matter the industry, time is of the essence, and knowing how long your speech or presentation will take is crucial for effective communication.

1100 words in minutes speech

Words to Minutes Calculator

Convert words to minutes to find out the time of your speech or text reading

Paste a text

Paste a content for which you want to calculate reading or speaking time.

Choose a speed of speech

Set how many words per minute you usually read or pronounce.

Evaluate a result

Get instant result with forecast of time period your speech will take.

Fix content issues

Take time on fixing grammar and readability issues to make your speech clear.

What’s inside?

Plagiarism checker

If you are interested to make your speech unique, use duplicate content checker to detect the parts of content that are copied from other websites.

Keyword density checker

Sometimes keyword stuffing can spoil a speech. Keyword density tool will show what words are used the most often in your speech and replace them with synonyms.

Article rewriter

Online editor inside helps to get a list of highlighted issues, fix them instantly and make your content easy to understand.

1 Star

This website uses 'cookies' to give you the best, most relevant experience. Using this website means you're agree with this. Find out more about 'cookies' in our Privacy Policy .

This language is not supported

We are hardly working on increasing number of languages

What languages we currently support

To be continue...

1100 words in minutes speech

This is your account? Sign In

Your suggestion was submitted

Thanks for your advise

  • Forgot your password?

By clicking button "Create account", "Create with Facebook" or "Create with Google" you agree to our Terms and Conditions and Privacy Policy . We’ll occasionally send you account related and promo emails.

Already have an account? Sign In

10 free text checks

10 free task generation

History table access

Reset Password

Send me reset link

Not a member yet? Create account

We use cookies to enhance our website for you. Proceed if you agree to this policy or learn more about it.

Free Speaking Time Calculator – Convert Words to Minutes Instantly

  • Essay Writing Services >
  • Free Educational Tools

Along with a strong message and clarity, brevity is one of the crucial features that make a great speech. Make it too long – and you'll lose the audience's attention. While formal speeches by public figures on significant occasions may clock in at as much as 40 minutes, for high school, college, or university presentations, 3 to 10 minutes is a typical length. When you need to estimate the duration of the speech and convert words to minutes – that's when the WowEssays' speech time calculator will come in really handy! This convenient free online tool will let you modify your writing to fit the set time frames, hence helping to make your presentation concise and cut away all the bloat.

How to Use Our Words to Speech Time Calculator

The WowEssays' word-to-minutes converter is a simple yet robust online utility that comes with several essential features.

  • Like other writing assistance tools on our website, it is absolutely free .
  • Unlike some other converters, it is minimalistic and doesn't have unnecessary functions.
  • It can be adjusted to different speaking styles thanks to variable talking speed presets .
  • It returns the result instantly – you don't even need to press a separate button.
  • Finally, it is safe : unlike many other converters, we don't expect you to enter the speech text and worry that it will be saved for unknown purposes.

All in all, using the WowEssays' word-to-minutes calculator to precisely estimate the speech length is as straightforward as one can only imagine! So, if you're trying to figure out how long will my speech be, just do this:

  • Find out the number of words in your speech. You can do that in any text processor.
  • Enter the count into the "Number of words" field. You will instantly see the estimated duration below.
  • If needed, adjust the speaking speed in the "Words per minute" drop-down menu (slow – 100 wpm; average – 130 wpm; fast – 160 wpm) – the estimation will change automatically.

For example, with the help of our converter, you'll see that a 500-word speech, delivered slowly, will take approximately 5 minutes; with average speed, it will take slightly less than 4 minutes; and if you speak fast, you should be able to fit in just over 3 minutes. How long is a 1000-word speech – the most common size in colleges? On average, that would be almost 8 minutes.

What Else You Should Know About Converting Word Count to Minutes

When using any text-to-speech time calculator, you must also consider that the actual presentation length, apart from the word count and speaking speed, will also depend on a number of other factors, namely:

  • The complexity of the subject and respective vocabulary.
  • Logical pauses and accents to emphasize certain points.
  • Turning numbers and dates into words.
  • Time to connect with the audience.
  • Speaker's stress level.

For these reasons are out of any essay writing service control, the WowEssays' free word to minutes online converter doesn't include them in calculations. Even so, you can benefit big time thanks to using this tool. For instance, save plenty of time relieving you of the necessity to read your presentation aloud while clocking it. Even if there's no limit on the presentation size or time you can spend preparing it, you can use the converter to find the best-suited rhythm to deliver your message in the most impressive and convincing manner.

What WowEssays Can Offer Beyond Words to Time Calculator

The assistance you can get at WowEssays.com when working on your presentation is by no means limited to the words-to-minutes converter or other free writing tools. Actually, our experts can help you craft an appealing speech from scratch or edit your own piece implementing the best writing practices. Be it a short, 300-word address or extended rhetoric for 3000 words, we will deliver the text right when you need it at a really affordable price (with the duration estimated via the speech or essay time calculator included upon your request).

So, put aside the timer you've prepared to clock your yet unwritten speech and place a quick online order with WowEssays to get a remarkable presentation that will move the audience's hearts and talk sense!

PLACE AN ORDER

Other Pages

Password recovery email has been sent to [email protected]

Use your new password to log in

You are not register!

By clicking Register, you agree to our Terms of Service and that you have read our Privacy Policy .

Now you can download documents directly to your device!

Check your email! An email with your password has already been sent to you! Now you can download documents directly to your device.

or Use the QR code to Save this Paper to Your Phone

The sample is NOT original!

Short on a deadline?

Don't waste time. Get help with 11% off using code - GETWOWED

No, thanks! I'm fine with missing my deadline

Words per Minute Calculator

Table of contents

Have you ever wondered how long it takes to deliver a speech? Or how much time you need to read a book? This words per minute calculator (or WPM calculator for short) will help you convert between the number of words and the time taken to read or say. This way, you will not only learn how many words is a 5-minute speech but also how long it takes you to read a document with 2000 words.

If you want to know how much time you need to finish a book, head straight to our reading speed calculator !

Words per minute (speech)

In order to determine how long your presentation takes, you first need to find your speaking speed — how many words per minute of speech you can deliver. For example, the average speaking speed in English is 130 wpm (words per minute). If, however, you are frequently told that you speak very slowly or very fast, you should adjust this value accordingly.

You could also measure your speaking speed experimentally. Set a timer to one minute and start reading a passage of text aloud. Once the timer stops, count the words you managed to read. This number is your words per minute speech speed — you can input it directly into our calculator after selecting the radio button Other .

Words per minute (reading)

The same principle as your speaking speed applies to your reading speed — the number of words per minute of reading. The average reading speed for the English language is between 170 and 240 wpm , depending on the text difficulty and your English ability.

Naturally, you can measure your reading speed and input it directly into this reading words per minute calculator. All you have to do is set a timer to one minute and start reading a book (or an e-book ), this time silently. Once the timer rings, count the words you read and input the number into the respective field (below the radio button Other in the reading section).

How many words is a 5 minute speech?

Once you know your speaking and reading speed, the calculations are a piece of cake! All you have to do is input the number of words you have to say into this words per minute calculator, which will tell you how long your presentation should take.

Of course, you can also use this calculator to figure out the maximum number of words in a speech with a limited time frame — for example, 5 minutes. Let's look at how to use this tool in more detail.

Choose whether you will speak to an audience or silently read the text. In this case, we are going to choose speech.

Select your speaking speed . We will stay with the average value of 130 wpm.

Determine the duration of the speech — here, we will pick a 5-minute elevator pitch.

Multiply the reading speed by the time to find out how many words are in a 5-minute speech:

130 × 5 = 650 words

Your speech can have a maximum of 650 words.

How many words per minute in a speech?

The average speaking speed in English is 130 words per minute . However, the average speaking rate changes according to the task before a speaker — for presentations, it goes down to 100-120 wpm, while for YouTubers, it's up to 150-160 wpm. When picking the right pace, you should also consider your audience, e.g., the presence of kids or non-native speakers!

How many words per 10 minute speech?

To deliver a successful ten-minute talk, prepare between 1000-1200 words. The absolute maximum you should have is 1300 words.

How many words are in a five minute speech?

A 5-minute speech should have between 500-600 words. Be careful not to exceed 650 words, or you'll talk too fast and, as a result, lose the audience!

How do I calculate the number of words in a talk?

To determine the number of words in a talk that will last m minutes:

Decide on the speaking rate r :

  • Average: 130 wpm (words per minute);
  • Slow: 100 wpm; and
  • Fast: 160 wpm.

Multiply the speaking rate by the time you have in minutes:

The result in 2 is the number of words your talk should contain.

Number of words

.css-1x639n5.css-1x639n5{color:#2B3148;background-color:transparent;font-family:"Roboto","Helvetica","Arial",sans-serif;font-size:24px;line-height:24px;overflow:visible;padding-top:0px;position:relative;}.css-1x639n5.css-1x639n5:after{content:'';-webkit-transform:scale(0);-moz-transform:scale(0);-ms-transform:scale(0);transform:scale(0);position:absolute;border:2px solid #EA9430;border-radius:2px;inset:-8px;z-index:1;}.css-1x639n5 .js-external-link-button.link-like,.css-1x639n5 .js-external-link-anchor{color:inherit;border-radius:1px;-webkit-text-decoration:underline;text-decoration:underline;}.css-1x639n5 .js-external-link-button.link-like:hover,.css-1x639n5 .js-external-link-anchor:hover,.css-1x639n5 .js-external-link-button.link-like:active,.css-1x639n5 .js-external-link-anchor:active{text-decoration-thickness:2px;text-shadow:1px 0 0;}.css-1x639n5 .js-external-link-button.link-like:focus-visible,.css-1x639n5 .js-external-link-anchor:focus-visible{outline:transparent 2px dotted;box-shadow:0 0 0 2px #6314E6;}.css-1x639n5 p,.css-1x639n5 div{margin:0px;display:block;}.css-1x639n5 pre{margin:0px;display:block;}.css-1x639n5 pre code{display:block;width:-webkit-fit-content;width:-moz-fit-content;width:fit-content;}.css-1x639n5 pre:not(:first-child){padding-top:8px;}.css-1x639n5 ul,.css-1x639n5 ol{display:block margin:0px;padding-left:20px;}.css-1x639n5 ul li,.css-1x639n5 ol li{padding-top:8px;}.css-1x639n5 ul ul,.css-1x639n5 ol ul,.css-1x639n5 ul ol,.css-1x639n5 ol ol{padding-top:0px;}.css-1x639n5 ul:not(:first-child),.css-1x639n5 ol:not(:first-child){padding-top:4px;} .css-ykr2zs{margin:auto;background-color:white;overflow:auto;overflow-wrap:break-word;word-break:break-word;}.css-ykr2zs code,.css-ykr2zs kbd,.css-ykr2zs pre,.css-ykr2zs samp{font-family:monospace;}.css-ykr2zs code{padding:2px 4px;color:#444;background:#ddd;border-radius:4px;}.css-ykr2zs figcaption,.css-ykr2zs caption{text-align:center;}.css-ykr2zs figcaption{font-size:12px;font-style:italic;overflow:hidden;}.css-ykr2zs h3{font-size:1.75rem;}.css-ykr2zs h4{font-size:1.5rem;}.css-ykr2zs .mathBlock{font-size:24px;-webkit-padding-start:4px;padding-inline-start:4px;}.css-ykr2zs .mathBlock .katex{font-size:24px;text-align:left;}.css-ykr2zs .math-inline{background-color:#f0f0f0;display:inline-block;font-size:inherit;padding:0 3px;}.css-ykr2zs .videoBlock,.css-ykr2zs .imageBlock{margin-bottom:16px;}.css-ykr2zs .imageBlock__image-align--left,.css-ykr2zs .videoBlock__video-align--left{float:left;}.css-ykr2zs .imageBlock__image-align--right,.css-ykr2zs .videoBlock__video-align--right{float:right;}.css-ykr2zs .imageBlock__image-align--center,.css-ykr2zs .videoBlock__video-align--center{display:block;margin-left:auto;margin-right:auto;clear:both;}.css-ykr2zs .imageBlock__image-align--none,.css-ykr2zs .videoBlock__video-align--none{clear:both;margin-left:0;margin-right:0;}.css-ykr2zs .videoBlock__video--wrapper{position:relative;padding-bottom:56.25%;height:0;}.css-ykr2zs .videoBlock__video--wrapper iframe{position:absolute;top:0;left:0;width:100%;height:100%;}.css-ykr2zs .videoBlock__caption{text-align:left;}@font-face{font-family:'KaTeX_AMS';src:url(/katex-fonts/KaTeX_AMS-Regular.woff2) format('woff2'),url(/katex-fonts/KaTeX_AMS-Regular.woff) format('woff'),url(/katex-fonts/KaTeX_AMS-Regular.ttf) format('truetype');font-weight:normal;font-style:normal;}@font-face{font-family:'KaTeX_Caligraphic';src:url(/katex-fonts/KaTeX_Caligraphic-Bold.woff2) format('woff2'),url(/katex-fonts/KaTeX_Caligraphic-Bold.woff) format('woff'),url(/katex-fonts/KaTeX_Caligraphic-Bold.ttf) format('truetype');font-weight:bold;font-style:normal;}@font-face{font-family:'KaTeX_Caligraphic';src:url(/katex-fonts/KaTeX_Caligraphic-Regular.woff2) format('woff2'),url(/katex-fonts/KaTeX_Caligraphic-Regular.woff) format('woff'),url(/katex-fonts/KaTeX_Caligraphic-Regular.ttf) format('truetype');font-weight:normal;font-style:normal;}@font-face{font-family:'KaTeX_Fraktur';src:url(/katex-fonts/KaTeX_Fraktur-Bold.woff2) format('woff2'),url(/katex-fonts/KaTeX_Fraktur-Bold.woff) format('woff'),url(/katex-fonts/KaTeX_Fraktur-Bold.ttf) format('truetype');font-weight:bold;font-style:normal;}@font-face{font-family:'KaTeX_Fraktur';src:url(/katex-fonts/KaTeX_Fraktur-Regular.woff2) format('woff2'),url(/katex-fonts/KaTeX_Fraktur-Regular.woff) format('woff'),url(/katex-fonts/KaTeX_Fraktur-Regular.ttf) format('truetype');font-weight:normal;font-style:normal;}@font-face{font-family:'KaTeX_Main';src:url(/katex-fonts/KaTeX_Main-Bold.woff2) format('woff2'),url(/katex-fonts/KaTeX_Main-Bold.woff) format('woff'),url(/katex-fonts/KaTeX_Main-Bold.ttf) format('truetype');font-weight:bold;font-style:normal;}@font-face{font-family:'KaTeX_Main';src:url(/katex-fonts/KaTeX_Main-BoldItalic.woff2) format('woff2'),url(/katex-fonts/KaTeX_Main-BoldItalic.woff) format('woff'),url(/katex-fonts/KaTeX_Main-BoldItalic.ttf) format('truetype');font-weight:bold;font-style:italic;}@font-face{font-family:'KaTeX_Main';src:url(/katex-fonts/KaTeX_Main-Italic.woff2) format('woff2'),url(/katex-fonts/KaTeX_Main-Italic.woff) format('woff'),url(/katex-fonts/KaTeX_Main-Italic.ttf) format('truetype');font-weight:normal;font-style:italic;}@font-face{font-family:'KaTeX_Main';src:url(/katex-fonts/KaTeX_Main-Regular.woff2) format('woff2'),url(/katex-fonts/KaTeX_Main-Regular.woff) format('woff'),url(/katex-fonts/KaTeX_Main-Regular.ttf) format('truetype');font-weight:normal;font-style:normal;}@font-face{font-family:'KaTeX_Math';src:url(/katex-fonts/KaTeX_Math-BoldItalic.woff2) format('woff2'),url(/katex-fonts/KaTeX_Math-BoldItalic.woff) format('woff'),url(/katex-fonts/KaTeX_Math-BoldItalic.ttf) format('truetype');font-weight:bold;font-style:italic;}@font-face{font-family:'KaTeX_Math';src:url(/katex-fonts/KaTeX_Math-Italic.woff2) format('woff2'),url(/katex-fonts/KaTeX_Math-Italic.woff) format('woff'),url(/katex-fonts/KaTeX_Math-Italic.ttf) format('truetype');font-weight:normal;font-style:italic;}@font-face{font-family:'KaTeX_SansSerif';src:url(/katex-fonts/KaTeX_SansSerif-Bold.woff2) format('woff2'),url(/katex-fonts/KaTeX_SansSerif-Bold.woff) format('woff'),url(/katex-fonts/KaTeX_SansSerif-Bold.ttf) format('truetype');font-weight:bold;font-style:normal;}@font-face{font-family:'KaTeX_SansSerif';src:url(/katex-fonts/KaTeX_SansSerif-Italic.woff2) format('woff2'),url(/katex-fonts/KaTeX_SansSerif-Italic.woff) format('woff'),url(/katex-fonts/KaTeX_SansSerif-Italic.ttf) format('truetype');font-weight:normal;font-style:italic;}@font-face{font-family:'KaTeX_SansSerif';src:url(/katex-fonts/KaTeX_SansSerif-Regular.woff2) format('woff2'),url(/katex-fonts/KaTeX_SansSerif-Regular.woff) format('woff'),url(/katex-fonts/KaTeX_SansSerif-Regular.ttf) format('truetype');font-weight:normal;font-style:normal;}@font-face{font-family:'KaTeX_Script';src:url(/katex-fonts/KaTeX_Script-Regular.woff2) format('woff2'),url(/katex-fonts/KaTeX_Script-Regular.woff) format('woff'),url(/katex-fonts/KaTeX_Script-Regular.ttf) format('truetype');font-weight:normal;font-style:normal;}@font-face{font-family:'KaTeX_Size1';src:url(/katex-fonts/KaTeX_Size1-Regular.woff2) format('woff2'),url(/katex-fonts/KaTeX_Size1-Regular.woff) format('woff'),url(/katex-fonts/KaTeX_Size1-Regular.ttf) format('truetype');font-weight:normal;font-style:normal;}@font-face{font-family:'KaTeX_Size2';src:url(/katex-fonts/KaTeX_Size2-Regular.woff2) format('woff2'),url(/katex-fonts/KaTeX_Size2-Regular.woff) format('woff'),url(/katex-fonts/KaTeX_Size2-Regular.ttf) format('truetype');font-weight:normal;font-style:normal;}@font-face{font-family:'KaTeX_Size3';src:url(/katex-fonts/KaTeX_Size3-Regular.woff2) format('woff2'),url(/katex-fonts/KaTeX_Size3-Regular.woff) format('woff'),url(/katex-fonts/KaTeX_Size3-Regular.ttf) format('truetype');font-weight:normal;font-style:normal;}@font-face{font-family:'KaTeX_Size4';src:url(/katex-fonts/KaTeX_Size4-Regular.woff2) format('woff2'),url(/katex-fonts/KaTeX_Size4-Regular.woff) format('woff'),url(/katex-fonts/KaTeX_Size4-Regular.ttf) format('truetype');font-weight:normal;font-style:normal;}@font-face{font-family:'KaTeX_Typewriter';src:url(/katex-fonts/KaTeX_Typewriter-Regular.woff2) format('woff2'),url(/katex-fonts/KaTeX_Typewriter-Regular.woff) format('woff'),url(/katex-fonts/KaTeX_Typewriter-Regular.ttf) format('truetype');font-weight:normal;font-style:normal;}.css-ykr2zs .katex{font:normal 1.21em KaTeX_Main,Times New Roman,serif;line-height:1.2;text-indent:0;text-rendering:auto;}.css-ykr2zs .katex *{-ms-high-contrast-adjust:none!important;border-color:currentColor;}.css-ykr2zs .katex .katex-version::after{content:'0.13.13';}.css-ykr2zs .katex .katex-mathml{position:absolute;clip:rect(1px, 1px, 1px, 1px);padding:0;border:0;height:1px;width:1px;overflow:hidden;}.css-ykr2zs .katex .katex-html>.newline{display:block;}.css-ykr2zs .katex .base{position:relative;display:inline-block;white-space:nowrap;width:-webkit-min-content;width:-moz-min-content;width:-webkit-min-content;width:-moz-min-content;width:min-content;}.css-ykr2zs .katex .strut{display:inline-block;}.css-ykr2zs .katex .textbf{font-weight:bold;}.css-ykr2zs .katex .textit{font-style:italic;}.css-ykr2zs .katex .textrm{font-family:KaTeX_Main;}.css-ykr2zs .katex .textsf{font-family:KaTeX_SansSerif;}.css-ykr2zs .katex .texttt{font-family:KaTeX_Typewriter;}.css-ykr2zs .katex .mathnormal{font-family:KaTeX_Math;font-style:italic;}.css-ykr2zs .katex .mathit{font-family:KaTeX_Main;font-style:italic;}.css-ykr2zs .katex .mathrm{font-style:normal;}.css-ykr2zs .katex .mathbf{font-family:KaTeX_Main;font-weight:bold;}.css-ykr2zs .katex .boldsymbol{font-family:KaTeX_Math;font-weight:bold;font-style:italic;}.css-ykr2zs .katex .amsrm{font-family:KaTeX_AMS;}.css-ykr2zs .katex .mathbb,.css-ykr2zs .katex .textbb{font-family:KaTeX_AMS;}.css-ykr2zs .katex .mathcal{font-family:KaTeX_Caligraphic;}.css-ykr2zs .katex .mathfrak,.css-ykr2zs .katex .textfrak{font-family:KaTeX_Fraktur;}.css-ykr2zs .katex .mathtt{font-family:KaTeX_Typewriter;}.css-ykr2zs .katex .mathscr,.css-ykr2zs .katex .textscr{font-family:KaTeX_Script;}.css-ykr2zs .katex .mathsf,.css-ykr2zs .katex .textsf{font-family:KaTeX_SansSerif;}.css-ykr2zs .katex .mathboldsf,.css-ykr2zs .katex .textboldsf{font-family:KaTeX_SansSerif;font-weight:bold;}.css-ykr2zs .katex .mathitsf,.css-ykr2zs .katex .textitsf{font-family:KaTeX_SansSerif;font-style:italic;}.css-ykr2zs .katex .mainrm{font-family:KaTeX_Main;font-style:normal;}.css-ykr2zs .katex .vlist-t{display:inline-table;table-layout:fixed;border-collapse:collapse;}.css-ykr2zs .katex .vlist-r{display:table-row;}.css-ykr2zs .katex .vlist{display:table-cell;vertical-align:bottom;position:relative;}.css-ykr2zs .katex .vlist>span{display:block;height:0;position:relative;}.css-ykr2zs .katex .vlist>span>span{display:inline-block;}.css-ykr2zs .katex .vlist>span>.pstrut{overflow:hidden;width:0;}.css-ykr2zs .katex .vlist-t2{margin-right:-2px;}.css-ykr2zs .katex .vlist-s{display:table-cell;vertical-align:bottom;font-size:1px;width:2px;min-width:2px;}.css-ykr2zs .katex .vbox{display:-webkit-inline-box;display:-webkit-inline-flex;display:-ms-inline-flexbox;display:inline-flex;-webkit-flex-direction:column;-ms-flex-direction:column;flex-direction:column;-webkit-align-items:baseline;-webkit-box-align:baseline;-ms-flex-align:baseline;align-items:baseline;}.css-ykr2zs .katex .hbox{display:-webkit-inline-box;display:-webkit-inline-flex;display:-ms-inline-flexbox;display:inline-flex;-webkit-flex-direction:row;-ms-flex-direction:row;flex-direction:row;width:100%;}.css-ykr2zs .katex .thinbox{display:-webkit-inline-box;display:-webkit-inline-flex;display:-ms-inline-flexbox;display:inline-flex;-webkit-flex-direction:row;-ms-flex-direction:row;flex-direction:row;width:0;max-width:0;}.css-ykr2zs .katex .msupsub{text-align:left;}.css-ykr2zs .katex .mfrac>span>span{text-align:center;}.css-ykr2zs .katex .mfrac .frac-line{display:inline-block;width:100%;border-bottom-style:solid;}.css-ykr2zs .katex .mfrac .frac-line,.css-ykr2zs .katex .overline .overline-line,.css-ykr2zs .katex .underline .underline-line,.css-ykr2zs .katex .hline,.css-ykr2zs .katex .hdashline,.css-ykr2zs .katex .rule{min-height:1px;}.css-ykr2zs .katex .mspace{display:inline-block;}.css-ykr2zs .katex .llap,.css-ykr2zs .katex .rlap,.css-ykr2zs .katex .clap{width:0;position:relative;}.css-ykr2zs .katex .llap>.inner,.css-ykr2zs .katex .rlap>.inner,.css-ykr2zs .katex .clap>.inner{position:absolute;}.css-ykr2zs .katex .llap>.fix,.css-ykr2zs .katex .rlap>.fix,.css-ykr2zs .katex .clap>.fix{display:inline-block;}.css-ykr2zs .katex .llap>.inner{right:0;}.css-ykr2zs .katex .rlap>.inner,.css-ykr2zs .katex .clap>.inner{left:0;}.css-ykr2zs .katex .clap>.inner>span{margin-left:-50%;margin-right:50%;}.css-ykr2zs .katex .rule{display:inline-block;border:solid 0;position:relative;}.css-ykr2zs .katex .overline .overline-line,.css-ykr2zs .katex .underline .underline-line,.css-ykr2zs .katex .hline{display:inline-block;width:100%;border-bottom-style:solid;}.css-ykr2zs .katex .hdashline{display:inline-block;width:100%;border-bottom-style:dashed;}.css-ykr2zs .katex .sqrt>.root{margin-left:0.27777778em;margin-right:-0.55555556em;}.css-ykr2zs .katex .sizing.reset-size1.size1,.css-ykr2zs .katex .fontsize-ensurer.reset-size1.size1{font-size:1em;}.css-ykr2zs .katex .sizing.reset-size1.size2,.css-ykr2zs .katex .fontsize-ensurer.reset-size1.size2{font-size:1.2em;}.css-ykr2zs .katex .sizing.reset-size1.size3,.css-ykr2zs .katex .fontsize-ensurer.reset-size1.size3{font-size:1.4em;}.css-ykr2zs .katex .sizing.reset-size1.size4,.css-ykr2zs .katex .fontsize-ensurer.reset-size1.size4{font-size:1.6em;}.css-ykr2zs .katex .sizing.reset-size1.size5,.css-ykr2zs .katex .fontsize-ensurer.reset-size1.size5{font-size:1.8em;}.css-ykr2zs .katex .sizing.reset-size1.size6,.css-ykr2zs .katex .fontsize-ensurer.reset-size1.size6{font-size:2em;}.css-ykr2zs .katex .sizing.reset-size1.size7,.css-ykr2zs .katex .fontsize-ensurer.reset-size1.size7{font-size:2.4em;}.css-ykr2zs .katex .sizing.reset-size1.size8,.css-ykr2zs .katex .fontsize-ensurer.reset-size1.size8{font-size:2.88em;}.css-ykr2zs .katex .sizing.reset-size1.size9,.css-ykr2zs .katex .fontsize-ensurer.reset-size1.size9{font-size:3.456em;}.css-ykr2zs .katex .sizing.reset-size1.size10,.css-ykr2zs .katex .fontsize-ensurer.reset-size1.size10{font-size:4.148em;}.css-ykr2zs .katex .sizing.reset-size1.size11,.css-ykr2zs .katex .fontsize-ensurer.reset-size1.size11{font-size:4.976em;}.css-ykr2zs .katex .sizing.reset-size2.size1,.css-ykr2zs .katex .fontsize-ensurer.reset-size2.size1{font-size:0.83333333em;}.css-ykr2zs .katex .sizing.reset-size2.size2,.css-ykr2zs .katex .fontsize-ensurer.reset-size2.size2{font-size:1em;}.css-ykr2zs .katex .sizing.reset-size2.size3,.css-ykr2zs .katex .fontsize-ensurer.reset-size2.size3{font-size:1.16666667em;}.css-ykr2zs .katex .sizing.reset-size2.size4,.css-ykr2zs .katex .fontsize-ensurer.reset-size2.size4{font-size:1.33333333em;}.css-ykr2zs .katex .sizing.reset-size2.size5,.css-ykr2zs .katex .fontsize-ensurer.reset-size2.size5{font-size:1.5em;}.css-ykr2zs .katex .sizing.reset-size2.size6,.css-ykr2zs .katex .fontsize-ensurer.reset-size2.size6{font-size:1.66666667em;}.css-ykr2zs .katex .sizing.reset-size2.size7,.css-ykr2zs .katex .fontsize-ensurer.reset-size2.size7{font-size:2em;}.css-ykr2zs .katex .sizing.reset-size2.size8,.css-ykr2zs .katex .fontsize-ensurer.reset-size2.size8{font-size:2.4em;}.css-ykr2zs .katex .sizing.reset-size2.size9,.css-ykr2zs .katex .fontsize-ensurer.reset-size2.size9{font-size:2.88em;}.css-ykr2zs .katex .sizing.reset-size2.size10,.css-ykr2zs .katex .fontsize-ensurer.reset-size2.size10{font-size:3.45666667em;}.css-ykr2zs .katex .sizing.reset-size2.size11,.css-ykr2zs .katex .fontsize-ensurer.reset-size2.size11{font-size:4.14666667em;}.css-ykr2zs .katex .sizing.reset-size3.size1,.css-ykr2zs .katex .fontsize-ensurer.reset-size3.size1{font-size:0.71428571em;}.css-ykr2zs .katex .sizing.reset-size3.size2,.css-ykr2zs .katex .fontsize-ensurer.reset-size3.size2{font-size:0.85714286em;}.css-ykr2zs .katex .sizing.reset-size3.size3,.css-ykr2zs .katex .fontsize-ensurer.reset-size3.size3{font-size:1em;}.css-ykr2zs .katex .sizing.reset-size3.size4,.css-ykr2zs .katex .fontsize-ensurer.reset-size3.size4{font-size:1.14285714em;}.css-ykr2zs .katex .sizing.reset-size3.size5,.css-ykr2zs .katex .fontsize-ensurer.reset-size3.size5{font-size:1.28571429em;}.css-ykr2zs .katex .sizing.reset-size3.size6,.css-ykr2zs .katex .fontsize-ensurer.reset-size3.size6{font-size:1.42857143em;}.css-ykr2zs .katex .sizing.reset-size3.size7,.css-ykr2zs .katex .fontsize-ensurer.reset-size3.size7{font-size:1.71428571em;}.css-ykr2zs .katex .sizing.reset-size3.size8,.css-ykr2zs .katex .fontsize-ensurer.reset-size3.size8{font-size:2.05714286em;}.css-ykr2zs .katex .sizing.reset-size3.size9,.css-ykr2zs .katex .fontsize-ensurer.reset-size3.size9{font-size:2.46857143em;}.css-ykr2zs .katex .sizing.reset-size3.size10,.css-ykr2zs .katex .fontsize-ensurer.reset-size3.size10{font-size:2.96285714em;}.css-ykr2zs .katex .sizing.reset-size3.size11,.css-ykr2zs .katex .fontsize-ensurer.reset-size3.size11{font-size:3.55428571em;}.css-ykr2zs .katex .sizing.reset-size4.size1,.css-ykr2zs .katex .fontsize-ensurer.reset-size4.size1{font-size:0.625em;}.css-ykr2zs .katex .sizing.reset-size4.size2,.css-ykr2zs .katex .fontsize-ensurer.reset-size4.size2{font-size:0.75em;}.css-ykr2zs .katex .sizing.reset-size4.size3,.css-ykr2zs .katex .fontsize-ensurer.reset-size4.size3{font-size:0.875em;}.css-ykr2zs .katex .sizing.reset-size4.size4,.css-ykr2zs .katex .fontsize-ensurer.reset-size4.size4{font-size:1em;}.css-ykr2zs .katex .sizing.reset-size4.size5,.css-ykr2zs .katex .fontsize-ensurer.reset-size4.size5{font-size:1.125em;}.css-ykr2zs .katex .sizing.reset-size4.size6,.css-ykr2zs .katex .fontsize-ensurer.reset-size4.size6{font-size:1.25em;}.css-ykr2zs .katex .sizing.reset-size4.size7,.css-ykr2zs .katex .fontsize-ensurer.reset-size4.size7{font-size:1.5em;}.css-ykr2zs .katex .sizing.reset-size4.size8,.css-ykr2zs .katex .fontsize-ensurer.reset-size4.size8{font-size:1.8em;}.css-ykr2zs .katex .sizing.reset-size4.size9,.css-ykr2zs .katex .fontsize-ensurer.reset-size4.size9{font-size:2.16em;}.css-ykr2zs .katex .sizing.reset-size4.size10,.css-ykr2zs .katex .fontsize-ensurer.reset-size4.size10{font-size:2.5925em;}.css-ykr2zs .katex .sizing.reset-size4.size11,.css-ykr2zs .katex .fontsize-ensurer.reset-size4.size11{font-size:3.11em;}.css-ykr2zs .katex .sizing.reset-size5.size1,.css-ykr2zs .katex .fontsize-ensurer.reset-size5.size1{font-size:0.55555556em;}.css-ykr2zs .katex .sizing.reset-size5.size2,.css-ykr2zs .katex .fontsize-ensurer.reset-size5.size2{font-size:0.66666667em;}.css-ykr2zs .katex .sizing.reset-size5.size3,.css-ykr2zs .katex .fontsize-ensurer.reset-size5.size3{font-size:0.77777778em;}.css-ykr2zs .katex .sizing.reset-size5.size4,.css-ykr2zs .katex .fontsize-ensurer.reset-size5.size4{font-size:0.88888889em;}.css-ykr2zs .katex .sizing.reset-size5.size5,.css-ykr2zs .katex .fontsize-ensurer.reset-size5.size5{font-size:1em;}.css-ykr2zs .katex .sizing.reset-size5.size6,.css-ykr2zs .katex .fontsize-ensurer.reset-size5.size6{font-size:1.11111111em;}.css-ykr2zs .katex .sizing.reset-size5.size7,.css-ykr2zs .katex .fontsize-ensurer.reset-size5.size7{font-size:1.33333333em;}.css-ykr2zs .katex .sizing.reset-size5.size8,.css-ykr2zs .katex .fontsize-ensurer.reset-size5.size8{font-size:1.6em;}.css-ykr2zs .katex .sizing.reset-size5.size9,.css-ykr2zs .katex .fontsize-ensurer.reset-size5.size9{font-size:1.92em;}.css-ykr2zs .katex .sizing.reset-size5.size10,.css-ykr2zs .katex .fontsize-ensurer.reset-size5.size10{font-size:2.30444444em;}.css-ykr2zs .katex .sizing.reset-size5.size11,.css-ykr2zs .katex .fontsize-ensurer.reset-size5.size11{font-size:2.76444444em;}.css-ykr2zs .katex .sizing.reset-size6.size1,.css-ykr2zs .katex .fontsize-ensurer.reset-size6.size1{font-size:0.5em;}.css-ykr2zs .katex .sizing.reset-size6.size2,.css-ykr2zs .katex .fontsize-ensurer.reset-size6.size2{font-size:0.6em;}.css-ykr2zs .katex .sizing.reset-size6.size3,.css-ykr2zs .katex .fontsize-ensurer.reset-size6.size3{font-size:0.7em;}.css-ykr2zs .katex .sizing.reset-size6.size4,.css-ykr2zs .katex .fontsize-ensurer.reset-size6.size4{font-size:0.8em;}.css-ykr2zs .katex .sizing.reset-size6.size5,.css-ykr2zs .katex .fontsize-ensurer.reset-size6.size5{font-size:0.9em;}.css-ykr2zs .katex .sizing.reset-size6.size6,.css-ykr2zs .katex .fontsize-ensurer.reset-size6.size6{font-size:1em;}.css-ykr2zs .katex .sizing.reset-size6.size7,.css-ykr2zs .katex .fontsize-ensurer.reset-size6.size7{font-size:1.2em;}.css-ykr2zs .katex .sizing.reset-size6.size8,.css-ykr2zs .katex .fontsize-ensurer.reset-size6.size8{font-size:1.44em;}.css-ykr2zs .katex .sizing.reset-size6.size9,.css-ykr2zs .katex .fontsize-ensurer.reset-size6.size9{font-size:1.728em;}.css-ykr2zs .katex .sizing.reset-size6.size10,.css-ykr2zs .katex .fontsize-ensurer.reset-size6.size10{font-size:2.074em;}.css-ykr2zs .katex .sizing.reset-size6.size11,.css-ykr2zs .katex .fontsize-ensurer.reset-size6.size11{font-size:2.488em;}.css-ykr2zs .katex .sizing.reset-size7.size1,.css-ykr2zs .katex .fontsize-ensurer.reset-size7.size1{font-size:0.41666667em;}.css-ykr2zs .katex .sizing.reset-size7.size2,.css-ykr2zs .katex .fontsize-ensurer.reset-size7.size2{font-size:0.5em;}.css-ykr2zs .katex .sizing.reset-size7.size3,.css-ykr2zs .katex .fontsize-ensurer.reset-size7.size3{font-size:0.58333333em;}.css-ykr2zs .katex .sizing.reset-size7.size4,.css-ykr2zs .katex .fontsize-ensurer.reset-size7.size4{font-size:0.66666667em;}.css-ykr2zs .katex .sizing.reset-size7.size5,.css-ykr2zs .katex .fontsize-ensurer.reset-size7.size5{font-size:0.75em;}.css-ykr2zs .katex .sizing.reset-size7.size6,.css-ykr2zs .katex .fontsize-ensurer.reset-size7.size6{font-size:0.83333333em;}.css-ykr2zs .katex .sizing.reset-size7.size7,.css-ykr2zs .katex .fontsize-ensurer.reset-size7.size7{font-size:1em;}.css-ykr2zs .katex .sizing.reset-size7.size8,.css-ykr2zs .katex .fontsize-ensurer.reset-size7.size8{font-size:1.2em;}.css-ykr2zs .katex .sizing.reset-size7.size9,.css-ykr2zs .katex .fontsize-ensurer.reset-size7.size9{font-size:1.44em;}.css-ykr2zs .katex .sizing.reset-size7.size10,.css-ykr2zs .katex .fontsize-ensurer.reset-size7.size10{font-size:1.72833333em;}.css-ykr2zs .katex .sizing.reset-size7.size11,.css-ykr2zs .katex .fontsize-ensurer.reset-size7.size11{font-size:2.07333333em;}.css-ykr2zs .katex .sizing.reset-size8.size1,.css-ykr2zs .katex .fontsize-ensurer.reset-size8.size1{font-size:0.34722222em;}.css-ykr2zs .katex .sizing.reset-size8.size2,.css-ykr2zs .katex .fontsize-ensurer.reset-size8.size2{font-size:0.41666667em;}.css-ykr2zs .katex .sizing.reset-size8.size3,.css-ykr2zs .katex .fontsize-ensurer.reset-size8.size3{font-size:0.48611111em;}.css-ykr2zs .katex .sizing.reset-size8.size4,.css-ykr2zs .katex .fontsize-ensurer.reset-size8.size4{font-size:0.55555556em;}.css-ykr2zs .katex .sizing.reset-size8.size5,.css-ykr2zs .katex .fontsize-ensurer.reset-size8.size5{font-size:0.625em;}.css-ykr2zs .katex .sizing.reset-size8.size6,.css-ykr2zs .katex .fontsize-ensurer.reset-size8.size6{font-size:0.69444444em;}.css-ykr2zs .katex .sizing.reset-size8.size7,.css-ykr2zs .katex .fontsize-ensurer.reset-size8.size7{font-size:0.83333333em;}.css-ykr2zs .katex .sizing.reset-size8.size8,.css-ykr2zs .katex .fontsize-ensurer.reset-size8.size8{font-size:1em;}.css-ykr2zs .katex .sizing.reset-size8.size9,.css-ykr2zs .katex .fontsize-ensurer.reset-size8.size9{font-size:1.2em;}.css-ykr2zs .katex .sizing.reset-size8.size10,.css-ykr2zs .katex .fontsize-ensurer.reset-size8.size10{font-size:1.44027778em;}.css-ykr2zs .katex .sizing.reset-size8.size11,.css-ykr2zs .katex .fontsize-ensurer.reset-size8.size11{font-size:1.72777778em;}.css-ykr2zs .katex .sizing.reset-size9.size1,.css-ykr2zs .katex .fontsize-ensurer.reset-size9.size1{font-size:0.28935185em;}.css-ykr2zs .katex .sizing.reset-size9.size2,.css-ykr2zs .katex .fontsize-ensurer.reset-size9.size2{font-size:0.34722222em;}.css-ykr2zs .katex .sizing.reset-size9.size3,.css-ykr2zs .katex .fontsize-ensurer.reset-size9.size3{font-size:0.40509259em;}.css-ykr2zs .katex .sizing.reset-size9.size4,.css-ykr2zs .katex .fontsize-ensurer.reset-size9.size4{font-size:0.46296296em;}.css-ykr2zs .katex .sizing.reset-size9.size5,.css-ykr2zs .katex .fontsize-ensurer.reset-size9.size5{font-size:0.52083333em;}.css-ykr2zs .katex .sizing.reset-size9.size6,.css-ykr2zs .katex .fontsize-ensurer.reset-size9.size6{font-size:0.5787037em;}.css-ykr2zs .katex .sizing.reset-size9.size7,.css-ykr2zs .katex .fontsize-ensurer.reset-size9.size7{font-size:0.69444444em;}.css-ykr2zs .katex .sizing.reset-size9.size8,.css-ykr2zs .katex .fontsize-ensurer.reset-size9.size8{font-size:0.83333333em;}.css-ykr2zs .katex .sizing.reset-size9.size9,.css-ykr2zs .katex .fontsize-ensurer.reset-size9.size9{font-size:1em;}.css-ykr2zs .katex .sizing.reset-size9.size10,.css-ykr2zs .katex .fontsize-ensurer.reset-size9.size10{font-size:1.20023148em;}.css-ykr2zs .katex .sizing.reset-size9.size11,.css-ykr2zs .katex .fontsize-ensurer.reset-size9.size11{font-size:1.43981481em;}.css-ykr2zs .katex .sizing.reset-size10.size1,.css-ykr2zs .katex .fontsize-ensurer.reset-size10.size1{font-size:0.24108004em;}.css-ykr2zs .katex .sizing.reset-size10.size2,.css-ykr2zs .katex .fontsize-ensurer.reset-size10.size2{font-size:0.28929605em;}.css-ykr2zs .katex .sizing.reset-size10.size3,.css-ykr2zs .katex .fontsize-ensurer.reset-size10.size3{font-size:0.33751205em;}.css-ykr2zs .katex .sizing.reset-size10.size4,.css-ykr2zs .katex .fontsize-ensurer.reset-size10.size4{font-size:0.38572806em;}.css-ykr2zs .katex .sizing.reset-size10.size5,.css-ykr2zs .katex .fontsize-ensurer.reset-size10.size5{font-size:0.43394407em;}.css-ykr2zs .katex .sizing.reset-size10.size6,.css-ykr2zs .katex .fontsize-ensurer.reset-size10.size6{font-size:0.48216008em;}.css-ykr2zs .katex .sizing.reset-size10.size7,.css-ykr2zs .katex .fontsize-ensurer.reset-size10.size7{font-size:0.57859209em;}.css-ykr2zs .katex .sizing.reset-size10.size8,.css-ykr2zs .katex .fontsize-ensurer.reset-size10.size8{font-size:0.69431051em;}.css-ykr2zs .katex .sizing.reset-size10.size9,.css-ykr2zs .katex .fontsize-ensurer.reset-size10.size9{font-size:0.83317261em;}.css-ykr2zs .katex .sizing.reset-size10.size10,.css-ykr2zs .katex .fontsize-ensurer.reset-size10.size10{font-size:1em;}.css-ykr2zs .katex .sizing.reset-size10.size11,.css-ykr2zs .katex .fontsize-ensurer.reset-size10.size11{font-size:1.19961427em;}.css-ykr2zs .katex .sizing.reset-size11.size1,.css-ykr2zs .katex .fontsize-ensurer.reset-size11.size1{font-size:0.20096463em;}.css-ykr2zs .katex .sizing.reset-size11.size2,.css-ykr2zs .katex .fontsize-ensurer.reset-size11.size2{font-size:0.24115756em;}.css-ykr2zs .katex .sizing.reset-size11.size3,.css-ykr2zs .katex .fontsize-ensurer.reset-size11.size3{font-size:0.28135048em;}.css-ykr2zs .katex .sizing.reset-size11.size4,.css-ykr2zs .katex .fontsize-ensurer.reset-size11.size4{font-size:0.32154341em;}.css-ykr2zs .katex .sizing.reset-size11.size5,.css-ykr2zs .katex .fontsize-ensurer.reset-size11.size5{font-size:0.36173633em;}.css-ykr2zs .katex .sizing.reset-size11.size6,.css-ykr2zs .katex .fontsize-ensurer.reset-size11.size6{font-size:0.40192926em;}.css-ykr2zs .katex .sizing.reset-size11.size7,.css-ykr2zs .katex .fontsize-ensurer.reset-size11.size7{font-size:0.48231511em;}.css-ykr2zs .katex .sizing.reset-size11.size8,.css-ykr2zs .katex .fontsize-ensurer.reset-size11.size8{font-size:0.57877814em;}.css-ykr2zs .katex .sizing.reset-size11.size9,.css-ykr2zs .katex .fontsize-ensurer.reset-size11.size9{font-size:0.69453376em;}.css-ykr2zs .katex .sizing.reset-size11.size10,.css-ykr2zs .katex .fontsize-ensurer.reset-size11.size10{font-size:0.83360129em;}.css-ykr2zs .katex .sizing.reset-size11.size11,.css-ykr2zs .katex .fontsize-ensurer.reset-size11.size11{font-size:1em;}.css-ykr2zs .katex .delimsizing.size1{font-family:KaTeX_Size1;}.css-ykr2zs .katex .delimsizing.size2{font-family:KaTeX_Size2;}.css-ykr2zs .katex .delimsizing.size3{font-family:KaTeX_Size3;}.css-ykr2zs .katex .delimsizing.size4{font-family:KaTeX_Size4;}.css-ykr2zs .katex .delimsizing.mult .delim-size1>span{font-family:KaTeX_Size1;}.css-ykr2zs .katex .delimsizing.mult .delim-size4>span{font-family:KaTeX_Size4;}.css-ykr2zs .katex .nulldelimiter{display:inline-block;width:0.12em;}.css-ykr2zs .katex .delimcenter{position:relative;}.css-ykr2zs .katex .op-symbol{position:relative;}.css-ykr2zs .katex .op-symbol.small-op{font-family:KaTeX_Size1;}.css-ykr2zs .katex .op-symbol.large-op{font-family:KaTeX_Size2;}.css-ykr2zs .katex .op-limits>.vlist-t{text-align:center;}.css-ykr2zs .katex .accent>.vlist-t{text-align:center;}.css-ykr2zs .katex .accent .accent-body{position:relative;}.css-ykr2zs .katex .accent .accent-body:not(.accent-full){width:0;}.css-ykr2zs .katex .overlay{display:block;}.css-ykr2zs .katex .mtable .vertical-separator{display:inline-block;min-width:1px;}.css-ykr2zs .katex .mtable .arraycolsep{display:inline-block;}.css-ykr2zs .katex .mtable .col-align-c>.vlist-t{text-align:center;}.css-ykr2zs .katex .mtable .col-align-l>.vlist-t{text-align:left;}.css-ykr2zs .katex .mtable .col-align-r>.vlist-t{text-align:right;}.css-ykr2zs .katex .svg-align{text-align:left;}.css-ykr2zs .katex svg{display:block;position:absolute;width:100%;height:inherit;fill:currentColor;stroke:currentColor;fill-rule:nonzero;fill-opacity:1;stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1;}.css-ykr2zs .katex svg path{stroke:none;}.css-ykr2zs .katex img{border-style:none;min-width:0;min-height:0;max-width:none;max-height:none;}.css-ykr2zs .katex .stretchy{width:100%;display:block;position:relative;overflow:hidden;}.css-ykr2zs .katex .stretchy::before,.css-ykr2zs .katex .stretchy::after{content:'';}.css-ykr2zs .katex .hide-tail{width:100%;position:relative;overflow:hidden;}.css-ykr2zs .katex .halfarrow-left{position:absolute;left:0;width:50.2%;overflow:hidden;}.css-ykr2zs .katex .halfarrow-right{position:absolute;right:0;width:50.2%;overflow:hidden;}.css-ykr2zs .katex .brace-left{position:absolute;left:0;width:25.1%;overflow:hidden;}.css-ykr2zs .katex .brace-center{position:absolute;left:25%;width:50%;overflow:hidden;}.css-ykr2zs .katex .brace-right{position:absolute;right:0;width:25.1%;overflow:hidden;}.css-ykr2zs .katex .x-arrow-pad{padding:0 0.5em;}.css-ykr2zs .katex .cd-arrow-pad{padding:0 0.55556em 0 0.27778em;}.css-ykr2zs .katex .x-arrow,.css-ykr2zs .katex .mover,.css-ykr2zs .katex .munder{text-align:center;}.css-ykr2zs .katex .boxpad{padding:0 0.3em 0 0.3em;}.css-ykr2zs .katex .fbox,.css-ykr2zs .katex .fcolorbox{box-sizing:border-box;border:0.04em solid;}.css-ykr2zs .katex .cancel-pad{padding:0 0.2em 0 0.2em;}.css-ykr2zs .katex .cancel-lap{margin-left:-0.2em;margin-right:-0.2em;}.css-ykr2zs .katex .sout{border-bottom-style:solid;border-bottom-width:0.08em;}.css-ykr2zs .katex .angl{box-sizing:border-box;border-top:0.049em solid;border-right:0.049em solid;margin-right:0.03889em;}.css-ykr2zs .katex .anglpad{padding:0 0.03889em 0 0.03889em;}.css-ykr2zs .katex .eqn-num::before{counter-increment:katexEqnNo;content:'(' counter(katexEqnNo) ')';}.css-ykr2zs .katex .mml-eqn-num::before{counter-increment:mmlEqnNo;content:'(' counter(mmlEqnNo) ')';}.css-ykr2zs .katex .mtr-glue{width:50%;}.css-ykr2zs .katex .cd-vert-arrow{display:inline-block;position:relative;}.css-ykr2zs .katex .cd-label-left{display:inline-block;position:absolute;right:calc(50% + 0.3em);text-align:left;}.css-ykr2zs .katex .cd-label-right{display:inline-block;position:absolute;left:calc(50% + 0.3em);text-align:right;}.css-ykr2zs .katex-display{display:block;margin:1em 0;text-align:center;}.css-ykr2zs .katex-display>.katex{display:block;white-space:nowrap;}.css-ykr2zs .katex-display>.katex>.katex-html{display:block;position:relative;}.css-ykr2zs .katex-display>.katex>.katex-html>.tag{position:absolute;right:0;}.css-ykr2zs .katex-display.leqno>.katex>.katex-html>.tag{left:0;right:auto;}.css-ykr2zs .katex-display.fleqn>.katex{text-align:left;padding-left:2em;}.css-ykr2zs body{counter-reset:katexEqnNo mmlEqnNo;}.css-ykr2zs table{width:-webkit-max-content;width:-moz-max-content;width:max-content;}.css-ykr2zs .tableBlock{max-width:100%;margin-bottom:1rem;overflow-y:scroll;}.css-ykr2zs .tableBlock thead,.css-ykr2zs .tableBlock thead th{border-bottom:1px solid #333!important;}.css-ykr2zs .tableBlock th,.css-ykr2zs .tableBlock td{padding:10px;text-align:left;}.css-ykr2zs .tableBlock th{font-weight:bold!important;}.css-ykr2zs .tableBlock caption{caption-side:bottom;color:#555;font-size:12px;font-style:italic;text-align:center;}.css-ykr2zs .tableBlock caption>p{margin:0;}.css-ykr2zs .tableBlock th>p,.css-ykr2zs .tableBlock td>p{margin:0;}.css-ykr2zs .tableBlock [data-background-color='aliceblue']{background-color:#f0f8ff;color:#000;}.css-ykr2zs .tableBlock [data-background-color='black']{background-color:#000;color:#fff;}.css-ykr2zs .tableBlock [data-background-color='chocolate']{background-color:#d2691e;color:#fff;}.css-ykr2zs .tableBlock [data-background-color='cornflowerblue']{background-color:#6495ed;color:#fff;}.css-ykr2zs .tableBlock [data-background-color='crimson']{background-color:#dc143c;color:#fff;}.css-ykr2zs .tableBlock [data-background-color='darkblue']{background-color:#00008b;color:#fff;}.css-ykr2zs .tableBlock [data-background-color='darkseagreen']{background-color:#8fbc8f;color:#000;}.css-ykr2zs .tableBlock [data-background-color='deepskyblue']{background-color:#00bfff;color:#000;}.css-ykr2zs .tableBlock [data-background-color='gainsboro']{background-color:#dcdcdc;color:#000;}.css-ykr2zs .tableBlock [data-background-color='grey']{background-color:#808080;color:#fff;}.css-ykr2zs .tableBlock [data-background-color='lemonchiffon']{background-color:#fffacd;color:#000;}.css-ykr2zs .tableBlock [data-background-color='lightpink']{background-color:#ffb6c1;color:#000;}.css-ykr2zs .tableBlock [data-background-color='lightsalmon']{background-color:#ffa07a;color:#000;}.css-ykr2zs .tableBlock [data-background-color='lightskyblue']{background-color:#87cefa;color:#000;}.css-ykr2zs .tableBlock [data-background-color='mediumblue']{background-color:#0000cd;color:#fff;}.css-ykr2zs .tableBlock [data-background-color='omnigrey']{background-color:#f0f0f0;color:#000;}.css-ykr2zs .tableBlock [data-background-color='white']{background-color:#fff;color:#000;}.css-ykr2zs .tableBlock [data-text-align='center']{text-align:center;}.css-ykr2zs .tableBlock [data-text-align='left']{text-align:left;}.css-ykr2zs .tableBlock [data-text-align='right']{text-align:right;}.css-ykr2zs .tableBlock [data-vertical-align='bottom']{vertical-align:bottom;}.css-ykr2zs .tableBlock [data-vertical-align='middle']{vertical-align:middle;}.css-ykr2zs .tableBlock [data-vertical-align='top']{vertical-align:top;}.css-ykr2zs .tableBlock__font-size--xxsmall{font-size:10px;}.css-ykr2zs .tableBlock__font-size--xsmall{font-size:12px;}.css-ykr2zs .tableBlock__font-size--small{font-size:14px;}.css-ykr2zs .tableBlock__font-size--large{font-size:18px;}.css-ykr2zs .tableBlock__border--some tbody tr:not(:last-child){border-bottom:1px solid #e2e5e7;}.css-ykr2zs .tableBlock__border--bordered td,.css-ykr2zs .tableBlock__border--bordered th{border:1px solid #e2e5e7;}.css-ykr2zs .tableBlock__border--borderless tbody+tbody,.css-ykr2zs .tableBlock__border--borderless td,.css-ykr2zs .tableBlock__border--borderless th,.css-ykr2zs .tableBlock__border--borderless tr,.css-ykr2zs .tableBlock__border--borderless thead,.css-ykr2zs .tableBlock__border--borderless thead th{border:0!important;}.css-ykr2zs .tableBlock:not(.tableBlock__table-striped) tbody tr{background-color:unset!important;}.css-ykr2zs .tableBlock__table-striped tbody tr:nth-of-type(odd){background-color:#f9fafc!important;}.css-ykr2zs .tableBlock__table-compactl th,.css-ykr2zs .tableBlock__table-compact td{padding:3px!important;}.css-ykr2zs .tableBlock__full-size{width:100%;}.css-ykr2zs .textBlock{margin-bottom:16px;}.css-ykr2zs .textBlock__text-formatting--finePrint{font-size:12px;}.css-ykr2zs .textBlock__text-infoBox{padding:0.75rem 1.25rem;margin-bottom:1rem;border:1px solid transparent;border-radius:0.25rem;}.css-ykr2zs .textBlock__text-infoBox p{margin:0;}.css-ykr2zs .textBlock__text-infoBox--primary{background-color:#cce5ff;border-color:#b8daff;color:#004085;}.css-ykr2zs .textBlock__text-infoBox--secondary{background-color:#e2e3e5;border-color:#d6d8db;color:#383d41;}.css-ykr2zs .textBlock__text-infoBox--success{background-color:#d4edda;border-color:#c3e6cb;color:#155724;}.css-ykr2zs .textBlock__text-infoBox--danger{background-color:#f8d7da;border-color:#f5c6cb;color:#721c24;}.css-ykr2zs .textBlock__text-infoBox--warning{background-color:#fff3cd;border-color:#ffeeba;color:#856404;}.css-ykr2zs .textBlock__text-infoBox--info{background-color:#d1ecf1;border-color:#bee5eb;color:#0c5460;}.css-ykr2zs .textBlock__text-infoBox--dark{background-color:#d6d8d9;border-color:#c6c8ca;color:#1b1e21;}.css-ykr2zs .text-overline{-webkit-text-decoration:overline;text-decoration:overline;}.css-ykr2zs.css-ykr2zs{color:#2B3148;background-color:transparent;font-family:"Roboto","Helvetica","Arial",sans-serif;font-size:24px;line-height:24px;overflow:visible;padding-top:0px;position:relative;}.css-ykr2zs.css-ykr2zs:after{content:'';-webkit-transform:scale(0);-moz-transform:scale(0);-ms-transform:scale(0);transform:scale(0);position:absolute;border:2px solid #EA9430;border-radius:2px;inset:-8px;z-index:1;}.css-ykr2zs .js-external-link-button.link-like,.css-ykr2zs .js-external-link-anchor{color:inherit;border-radius:1px;-webkit-text-decoration:underline;text-decoration:underline;}.css-ykr2zs .js-external-link-button.link-like:hover,.css-ykr2zs .js-external-link-anchor:hover,.css-ykr2zs .js-external-link-button.link-like:active,.css-ykr2zs .js-external-link-anchor:active{text-decoration-thickness:2px;text-shadow:1px 0 0;}.css-ykr2zs .js-external-link-button.link-like:focus-visible,.css-ykr2zs .js-external-link-anchor:focus-visible{outline:transparent 2px dotted;box-shadow:0 0 0 2px #6314E6;}.css-ykr2zs p,.css-ykr2zs div{margin:0px;display:block;}.css-ykr2zs pre{margin:0px;display:block;}.css-ykr2zs pre code{display:block;width:-webkit-fit-content;width:-moz-fit-content;width:fit-content;}.css-ykr2zs pre:not(:first-child){padding-top:8px;}.css-ykr2zs ul,.css-ykr2zs ol{display:block margin:0px;padding-left:20px;}.css-ykr2zs ul li,.css-ykr2zs ol li{padding-top:8px;}.css-ykr2zs ul ul,.css-ykr2zs ol ul,.css-ykr2zs ul ol,.css-ykr2zs ol ol{padding-top:0px;}.css-ykr2zs ul:not(:first-child),.css-ykr2zs ol:not(:first-child){padding-top:4px;} Speaking

Speaking speed

Speaking time

Reading speed

Reading time

  • Skip to main content
  • Keyboard shortcuts for audio player

Cash-strapped Trump is now selling $60 Bibles, U.S. Constitution included

Rachel Treisman

1100 words in minutes speech

Then-President Donald Trump holds up a Bible outside St. John's Episcopal Church in Washington, D.C., during a controversial 2020 photo-op. Brendan Smialowski/AFP via Getty Images hide caption

Then-President Donald Trump holds up a Bible outside St. John's Episcopal Church in Washington, D.C., during a controversial 2020 photo-op.

Former President Donald Trump is bringing together church and state in a gilded package for his latest venture, a $60 "God Bless The USA" Bible complete with copies of the nation's founding documents.

Trump announced the launch of the leather-bound, large-print, King James Bible in a post on Truth Social on Tuesday — a day after the social media company surged in its trading debut and two days after a New York appeals court extended his bond deadline to comply with a ruling in a civil fraud case and slashed the bond amount by 61%.

"Happy Holy Week! Let's Make America Pray Again," Trump wrote. "As we lead into Good Friday and Easter, I encourage you to get a copy of the God Bless The USA Bible."

Why Trump's Persecution Narrative Resonates With Christian Supporters

Consider This from NPR

Why trump's persecution narrative resonates with christian supporters.

The Bible is inspired by "God Bless the USA," the patriotic Lee Greenwood anthem that has been a fixture at many a Trump rally (and has a long political history dating back to Ronald Reagan). It is the only Bible endorsed by Trump as well as Greenwood, according to its promotional website .

The Bible is only available online and sells for $59.99 (considerably more expensive than the traditional Bibles sold at major retailers, or those available for free at many churches and hotels). It includes Greenwood's handwritten chorus of its titular song as well as copies of historical documents including the U.S. Constitution, Declaration of Independence and Pledge of Allegiance.

"Many of you have never read them and don't know the liberties and rights you have as Americans, and how you are being threatened to lose those rights," Trump said in a three-minute video advertisement.

"Religion and Christianity are the biggest things missing from this country, and I truly believe that we need to bring them back and we have to bring them back fast."

'You gotta be tough': White evangelicals remain enthusiastic about Donald Trump

'You gotta be tough': White evangelicals remain enthusiastic about Donald Trump

Trump critics on both sides of the aisle quickly criticized the product, characterizing it as self-serving and hypocritical.

Conservative political commentator Charlie Sykes slammed him for "commodifying the Bible during Holy Week," while Democratic Sen. Amy Klobuchar of Minnesota critiqued him for "literally taking a holy book and selling it, and putting it out there in order to make money for his campaign."

Trump says the money isn't going to his campaign, but more on that below.

Klobuchar added that Trump's public attacks on others are "not consistent with the teachings of the Bible," calling this "one more moment of hypocrisy." Tara Setmayer, a senior adviser for anti-Trump Republican PAC the Lincoln Project, called it "blasphemous ."

And former Rep. Liz Cheney, a Republican from Wyoming, trolled Trump with a social media post alluding to his alleged extramarital affairs.

"Happy Holy Week, Donald," she wrote. "Instead of selling Bibles, you should probably buy one. And read it, including Exodus 20:14 ."

Christianity is an increasingly prominent part of his campaign

Trump has made a point of cultivating Christian supporters since his 2016 presidential campaign and remains popular with white evangelicals despite his multiple divorces, insults toward marginalized groups and allegations of extramarital affairs and sexual assault.

And his narrative of being persecuted — including in the courts — appears to resonate with his many Christian supporters.

Trump has increasingly embraced Christian nationalist ideas in public. He promised a convention of religious broadcasters last month that he would use a second term to defend Christian values from the "radical left," swearing that "no one will be touching the cross of Christ under the Trump administration."

He made similar comments in the Bible promotional video, in which he warned that "Christians are under siege" and the country is "going haywire" because it lost religion.

What to know about the debut of Trump's $399 golden, high-top sneakers

What to know about the debut of Trump's $399 golden, high-top sneakers

"We must defend God in the public square and not allow the media or the left-wing groups to silence, censor or discriminate against us," he said. "We have to bring Christianity back into our lives and back into what will be again a great nation."

Trump himself is not known to be particularly religious or a regular churchgoer. He long identified as Presbyterian but announced in 2020 that he identified as nondenominational .

A Pew Research Center survey released earlier this month found that most people with positive views of Trump don't see him as especially religious, but think he stands up for people with religious beliefs like their own.

Trump said in the promotional video that he has many Bibles at home.

"It's my favorite book," he said, echoing a comment he's made in previous years. "It's a lot of people's favorite book."

The Impact Of Christian Nationalism On American Democracy

Trump's relationship to the Bible has been a point of discussion and sometimes controversy over the years.

In 2020, amid protests over George Floyd's murder, he posed with a Bible outside a Washington, D.C., church, for which he was widely criticized. U.S. Park Police and National Guard troops had tear-gassed peaceful protesters in the area beforehand, seemingly to make way for the photo-op, though a watchdog report the following year determined otherwise .

That same year, a clip of a 2015 Bloomberg interview, in which Trump declines to name his favorite — or any — Bible verse resurfaced on social media and went viral.

Bible sales are unlikely to solve Trump's financial problems

An FAQ section on the Bible website says no profits will go to Trump's reelection campaign.

"GodBlessTheUSABible.com is not political and has nothing to do with any political campaign," it says.

However, the site adds that it uses Trump's name, likeness and image "under paid license from CIC Ventures LLC."

Trump is listed as the manager, president, secretary and treasurer of CIC Ventures LLC in a financial disclosure from last year.

Here's what happens if Trump can't pay his $454 million bond

Here's what happens if Trump can't pay his $454 million bond

Trump's sales pitch focuses on bringing religion back to America.

"I want to have a lot of people have it," he said at one point in the video. "You have to have it for your heart and for your soul."

But many are wondering whether Trump has something else to gain from Bible sales while facing under mounting financial pressure.

There's his presidential reelection campaign, which has raised only about half of what Biden's has so far this cycle. Trump acknowledged Monday that he "might" spend his own money on his campaign, something he hasn't done since 2016.

There's also his mounting legal expenses, as he faces four criminal indictments and numerous civil cases. Trump posted bond to support a $83.3 million jury award granted to writer E. Jean Carroll in a defamation case earlier this month, and was due to put up another $454 million in a civil fraud case this past Monday.

Trump is on the verge of a windfall of billions of dollars. Here are 3 things to know

Trump is on the verge of a windfall of billions of dollars. Here are 3 things to know

His lawyers had said last week that they had approached 30 companies for help making bond, but doing so was a "practical impossibility" — prompting New York's attorney general to confirm that if Trump did not pay, she would move to seize his assets . On Monday, the appeals court reduced the bond amount to $175 million and gave Trump another 10 days to post it.

Trump has evidently been trying to raise money in other ways.

The day after the civil fraud judgment was announced, he debuted a line of $399 golden, high-top sneakers , which sold out in hours . The company behind his social media app, Truth Social, started trading on the Nasdaq exchange on Tuesday, which could deliver him a windfall of more than $3 billion — though he can't sell his shares for another six months.

  • Donald J. Trump
  • sales pitch
  • Christianity
  • Search Please fill out this field.
  • Manage Your Subscription
  • Give a Gift Subscription
  • Newsletters
  • Sweepstakes

Kate Middleton 'Wrote Every Word Herself' in Speech Revealing Her Cancer Diagnosis, Source Says

The Princess of Wales shared her health news in a video released on Friday

1100 words in minutes speech

BBC Studios

Kate Middleton 's announcement revealing her cancer diagnosis came from the heart.

“She wrote every word herself,” a palace source confirms to PEOPLE of the Princess of Wales' video speech, which was released on Friday and filmed two days prior in the gardens of Windsor Castle.

A family friend adds, “She wrote the words herself, delivered it personally and wanted to decide when the time was right to hit the world with this news.”

On Friday, Kate, 42, shared her cancer diagnosis in an emotional video message . She said she received the diagnosis following her abdominal surgery in January after post-operative tests "found cancer had been present” and is now in the “early stages” of treatment.

Prince William is said to be “extremely proud of his wife for the courage and strength she has shown not just this week, but since her surgery in January," a royal source says.

The insider added that William, 41, is protective of his family, stating, “Now more than ever he’s focused on ensuring his wife has the privacy she needs to fully recover and that his children are shielded from the understandable interest in the news that has been shared.”

On Saturday, the Prince and Princess of Wales said they were grateful for the wide support they’ve received following the princess’ cancer diagnosis announcement.

A Kensington Palace spokesperson said in a statement that Kate and William "are both enormously touched by the kind messages from people here in the U.K., across the Commonwealth and around the world in response to Her Royal Highness’ message."

Max Mumby/Indigo/Getty

"They are extremely moved by the public’s warmth and support and are grateful for the understanding of their request for privacy at this time," the spokesperson added.

In her speech on Friday, Kate began by thanking well-wishers for their support over recent weeks.

She then called her diagnosis a "huge shock" and said that she and William "have been doing everything we can to process and manage this privately for the sake of our young family," referring to their three children: Prince George , 10, Princess Charlotte , 8, and Prince Louis , 5.

Can't get enough of PEOPLE's Royals coverage?  Sign up for our free Royals newsletter  to get the latest updates on Kate Middleton, Meghan Markle and more! Princess Kate added that "it's taken us time to explain everything" to their kids "in a way that is appropriate for them, and to reassure them that I am going to be okay."

The royal concluded her speech by acknowledging those also dealing with cancer. "At this time, I am also thinking of all those whose lives have been affected by cancer. For everyone facing this disease, in whatever form, please do not lose faith or hope. You are not alone." she said.

Related Articles

COMMENTS

  1. Convert Words to Minutes

    Words in a 2 minute speech 260 words. Words in a 3 minute speech 390 words. Words in a 4 minute speech 520 words. Words in a 5 minute speech 650 words. Words in a 10 minute speech 1300 words. Words in a 15 minute speech 1950 words. Words in a 20 minute speech 2600 words. How long does a 500 word speech take? 3.8 minutes.

  2. Convert Words to Time

    Quickly convert the number of words in a talk, presentation, or speech to how many minutes it will take to read. convert words to time. How long will it take to read a speech or presentation? Enter the word count into the tool below (or paste in text) to see how many minutes it will take you to read. Estimates number of minutes based on a slow ...

  3. Convert Words to Minutes

    Use the calculator below to convert your words to minutes. 1) Enter the number of words your speech is. 2) Choose your speaking style/speed 3) Find your speech length. The following table below provides an indication of the minutes for a speech (based on an average reading speed of 125 words per minute):

  4. Convert Words to Time

    19.2 minutes. How long does it take to read 3900 words? 30 minutes. How long does it take to read 7800 words? 60 minutes. Speech length calculator. Enter the word count of your speech to see how long it will take you to read. Estimate the number of minutes based on a slow, average, or fast speaking pace.

  5. Interactive Speaking Time Calculator

    In a 10 minute speech aim for 1000 words. The math might tell you 1,500 words but consider your speech. You might need pauses, rest for your voice, dramatic effects, and perhaps even audience interaction. Also, it becomes quite difficult to endure a consistent 150 words per minute speech rate for 10 minutes. Consider your listeners.

  6. Words To Time

    Most public speakers target an average of 130-150 words per minute for their spoken content, meaning you should aim to limit your speaking time to roughly one minute per 130-150 words. While this may take some practice to achieve, the end result is a confident, well-timed delivery that keeps your audience engaged from start to finish.

  7. Words to Time Conversion Calculator (Free), word per minute speech

    Time your speech on a timer for the actual time it takes you to deliver your speech, practice. Our tool comes in handy when you are preparing for a speech or creating a presentation. The length of your speech depends on the amount of text and your speaking or reading speed. Find out how many words per minute you speak during a speech.

  8. Speech calculator: how long does your speech take?

    A fast speaker will get to 170 words per minute, a slow speaker will use around 110 words. Professional speechwriters use this speech calculator to find out how long a speech takes. Copy your full text and paste it in the box below: The entire analysis happens within your browser. The text will NOT be stored and NOT be sent over the web.

  9. Words to Time Calculator: Words to Minutes Converter

    Slow: 100 words per minute. Average: 130 words per minute. Fast: 160 words per minute. Words to time converter is a fundamental tool designed to assist people looking forward to converting the number of words into the time taken to deliver your speech. The tool is available online and offline, making it easier for people to prepare their ...

  10. Speech time calculator

    Help us grow. Know how many minutes takes to read a text (Speech and Locution). Reading Time Calculator. Easy tool to Convert Words to Time.

  11. Free Online Words to Minutes Calculator

    Speech in Minutes. This is a free-to-use speech calculator to measure how long it takes to deliver your speech. To use this tool, you need to enter the word count and choose the reading speed: from slow (100 words per minute) to fast (160 words per minute). No registration is needed. 2.

  12. Words to Minutes Converter: Speech Time Converter

    How to Convert Words to Minutes. Enter Number of words or paste text from your document. Select speaking time speed from slow, average and fast options. It displays speech time in minutes based on speed of reading time. It also displays how long does it take to read number of words in tabular format. Last Updated on March 29, 2024.

  13. Words to Time

    How Calculate Words To Minutes/Time. Using Words to Time is simple and straightforward. Follow these steps: Enter the number of words in your text or speech in the input field provided. (You can use word counter tool to count the number of words in your text.) Select the reading speed you want.

  14. Convert Words Into Time For Just-Right Speeches

    A 500-word speech would take around 3½ to 4 minutes to deliver, while an address containing 750 words would take 5 to 6 minutes. A 1000-word speech would take about 7 to 8 minutes. To calculate the number of words to speak in an hour, we use the average reading speed of 130 to 150 words per minute.

  15. Words to Minutes Calculator

    how long is a 5 minute speech: 650 words. how long is a 10 minute speech: 1300 words. how long is a 20 minute speech: 2600 words. how long does it take to read 200 words: 1.5 minutes. how long does it take to read 300 words: 2.3 minutes. how long does it take to read 500 words: 3.8 minutes.

  16. Speech Time Calculator

    To convert word count to read time for a specific text, you can do so by dividing the total word count of the text by this established value of 238. Here is the mathematical equation for determining the duration of reading time in minutes: Reading Time = Total Word Count / 238. Explanation of the Speech Time. Speech time refers to the duration ...

  17. Words To Minutes Calculator: Convert Word Count to Minutes of Speech

    Words to Minutes Calculator. Convert words to minutes to find out the time of your speech or text reading. Your speech rate: 150 words per minute. Words: 0 Time: 0 min. Check text for mistakes. Paste a text. Paste a content for which you want to calculate reading or speaking time. Choose a speed of speech.

  18. Words to Minutes Converter Necessary for Speech Writing

    Just follow these three simple steps to convert your words to minutes: Step 1. Input the number of words and choose the wpm (words per minute speed). Step 2. Customize the speed. We suggest using the average speed and adjusting the number of words. Step 3. Find out your speech length.

  19. Free Words to Minutes Calculator: Calculate Your Speech Length

    Find out the number of words in your speech. You can do that in any text processor. Enter the count into the "Number of words" field. You will instantly see the estimated duration below. If needed, adjust the speaking speed in the "Words per minute" drop-down menu (slow - 100 wpm; average - 130 wpm; fast - 160 wpm) - the estimation will ...

  20. Words to Minutes

    Minutes to Words Converter. To determine the number of minutes your speech will take, consider this minutes to words converter. 1-minute speech should have between 135 and 150 words. 1.5 minutes speech should have between 202 and 225 words. 6 minutes speech should have around 1500 words. Words to Speech Speed Calculator.

  21. Words per Minute Calculator

    Decide on the speaking rate r: Average: 130 wpm (words per minute); Slow: 100 wpm; and. Fast: 160 wpm. Multiply the speaking rate by the time you have in minutes: r × m. The result in 2 is the number of words your talk should contain. If you're wondering how many words you can squeeze into a speech, give this words per minute calculator a try.

  22. How Many Words Are in a 10 Minute Long Speech?

    Answer: At the normal speaking rate of 130 words per minute (wpm), a 10 minutes long speech will have about 1,300 words . Conquer your fear of public speaking. Own your presence. Speech and publication coach Daphne Gray-Grant found that, on average, people speak at a rate of 125 to 150 wpm so a 10 minutes long speech uses between 1,250 to 1,500 ...

  23. What happens at a 2024 Trump rally? A lot more than his outrageous

    At a Trump rally, even the rioters who attacked the capitol on Jan. 6 are recast as victims of anti-Trump forces. "Ladies and gentlemen," an announcer's deep voice boomed over dramatic music ...

  24. Ask Techie: Should I Buy My New Laptop from Amazon or the Manufacturer?

    (5 minutes to read ∙ 1100 words) This month's tech Q&A column answers your questions about whether you should buy your new laptop from Amazon or the manufacturer and how to protect yourself when clicking on links to PDFs you find online or in emails. (5 minutes to read ∙ 1100 words)

  25. Donald Trump is selling a 'God Bless the USA' Bible for $60 : NPR

    Former President Donald Trump is bringing together church and state in a gilded package for his latest venture, a $60 "God Bless The USA" Bible complete with copies of the nation's founding ...

  26. Kate Middleton 'Wrote Every Word Herself' for Cancer Speech (Source)

    BBC Studios. Kate Middleton 's announcement revealing her cancer diagnosis came from the heart. "She wrote every word herself," a palace source confirms to PEOPLE of the Princess of Wales ...