Created by Sal Khan.

Watch the next lesson:
https://www.khanacademy.org/economics-finance-domain/core-finance/interest-tutorial/present-value/v/time-value-of-money?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets

Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/interest-tutorial/cont-comp-int-and-e/v/e-as-limit?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets

Finance and capital markets on Khan Academy: This is an older tutorial (notice the low-res, bad handwriting) about one of the coolest numbers in reality and how it falls out of our innate desire to compound interest continuously.

About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.

For free. For everyone. Forever. #YouCanLearnAnything

Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channe....l/UCQ1Rt02HirUvBK2D2
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Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/ma....th/cc-sixth-grade-ma

We're going to simplify this expression together putting to use our new knowledge of how to combine like terms. Ok? Let's do it!

Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-algebra/manipulating-expressions/v/combining-like-terms-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI

Missed the previous lesson?
https://www.khanacademy.org/math/algebra/introduction-to-algebra/manipulating-expressions/v/combining-like-terms-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI

Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios.

About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.

For free. For everyone. Forever. #YouCanLearnAnything

Subscribe to Khan Academy’s Algebra channel:
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Determining the projection of a vector on s line

Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/matrix_transformations/lin_trans_examples/v/expressing-a-projection-on-to-a-line-as-a-matrix-vector-prod?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra

Missed the previous lesson?
https://www.khanacademy.org/math/linear-algebra/matrix_transformations/lin_trans_examples/v/unit-vectors?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra

Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra.

About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.

For free. For everyone. Forever. #YouCanLearnAnything

Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channe....l/UCGYSKl6e3HM0PP7QR
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Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/ma....th/geometry/xff63fac

Watch the next lesson: https://www.khanacademy.org/math/algebra2/conics_precalc/parabolas_precalc/v/finding-focus-and-directrix-from-vertex?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII

Missed the previous lesson?
https://www.khanacademy.org/math/algebra2/conics_precalc/parabolas_precalc/v/using-the-focus-and-directrix-to-find-the-equation-of-a-parabola?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII

Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you!

About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.

For free. For everyone. Forever. #YouCanLearnAnything

Subscribe to Khan Academy’s Algebra II channel:
https://www.youtube.com/channe....l/UCsCA3_VozRtgUT7wW
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Practice this lesson yourself on KhanAcademy.org right now:
https://www.khanacademy.org/math/algebra2/functions_and_graphs/piecewise-functions-tutorial/e/graphs-of-absolute-value-functions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII

Watch the next lesson: https://www.khanacademy.org/math/algebra2/functions_and_graphs/piecewise-functions-tutorial/v/absolute-value-graphing-exercise-example?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII

Missed the previous lesson?
https://www.khanacademy.org/math/algebra2/functions_and_graphs/piecewise-functions-tutorial/v/what-is-a-function?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII

Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you!

About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.

For free. For everyone. Forever. #YouCanLearnAnything

Subscribe to Khan Academy’s Algebra II channel:
https://www.youtube.com/channe....l/UCsCA3_VozRtgUT7wW
Subscribe to Khan Academy: https://www.youtube.com/subscr....iption_center?add_us

Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/ma....th/cc-eighth-grade-m

How does a negative exponent affect our answer? Before you assume that the answer must be negative, think again!

Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/exponents-radicals/negative-exponents-tutorial/e/exponents_2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra

Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/exponents-radicals/negative-exponents-tutorial/v/negative-exponent-intuition?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra

Missed the previous lesson?
https://www.khanacademy.org/math/pre-algebra/exponents-radicals/exponent-properties/v/exponent-rules-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra

Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off!

About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.

For free. For everyone. Forever. #YouCanLearnAnything

Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channe....l/UCIMlYkATtXOFswVoC
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Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/differential-equations/first-order-differential-equations/differential-equations-intro/e/slope-fields?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations

Watch the next lesson: https://www.khanacademy.org/math/differential-equations/first-order-differential-equations/differential-equations-intro/v/slope-field-to-visualize-solutions?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations

Missed the previous lesson?
https://www.khanacademy.org/math/differential-equations/first-order-differential-equations/differential-equations-intro/v/finding-particular-linear-solution-to-differential-equation?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations

Differential Equations on Khan Academy: Differential equations, separable equations, exact equations, integrating factors, homogeneous equations.

About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.

For free. For everyone. Forever. #YouCanLearnAnything

Subscribe to KhanAcademy’s Differential Equations channel:: https://www.youtube.com/channe....l/UCxSQHGkaDv8UKXE0T
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Learn the letter W with Ollo the Elephant from Khan Academy Kids!

Visit us at http://www.khankids.org to learn more about Khan Academy Kids, a free educational app for preschool through 2nd grade.

Available on Google Play, Apple, and Amazon app stores:
➡️ http://khan.co/KhanKids-YT-Google
➡️ http://khan.co/KhanKids-YT-Apple
➡️ http://khan.co/KhanKids-YT-Amazon

You can also access other letters of the alphabet on our Letters and Letter Sounds playlist here: http://khan.co/KhanKids-Letters

Subscribe to our channel for more videos like this.

Learn more counting, addition, and subtraction lessons in the FREE Khan Academy Kids app! https://go.learn.khanacademy.o....rg/khanacademy/YouTu

Peck uses a number line to count backward starting from the number ten. Great job, Peck!

Visit us at http://www.khankids.org to learn more about Khan Academy Kids, a free educational app for preschool through 2nd grade available on Apple, Google Play, and Amazon app stores.

You can also access other videos on our Addition and Subtraction playlist here: http://khan.co/KhanKids-AdditionSubtraction

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Questions? Reach our team at khankids@khanacademy.org.

We've heard many questions from parents about balancing learning, play, time outdoors, and the whoosh of everyday life with small children (ages 2-7). Khan Academy Kids invited early childhood expert and founder of Tinkergarten Meghan Fitzgerald to join us for this webinar. We discuss best practices, share activities that foster independent, hands-on learning for young children, and answer audience Q&A.

You can view the webinar slides here: https://bit.ly/KhanKidsTinkergartenWebinar

Learn more about Khan Academy Kids, our free educational app for children ages 2-7 at http://www.khankids.org.

Available on Apple, Google Play, and Amazon app stores:
http://khan.co/KhanKids-YT-Google
http://khan.co/KhanKids-YT-Apple
http://khan.co/KhanKids-YT-Amazon

Khan Academy Kids is excited to present Circle Time! We’ll be sharing a story and an activity every weekday. Meet our co-founder, Caroline Hu Flexer, as she reads the book “Hero in Training” starring Kodi the Bear by Cynthia Platt. The book can also be found inside the Library of our free app for kids.

Check out our printable activities for hands-on fun! For today's activity, tell a story with Khan Kids cutouts: http://khan.co/KhanKids-Print-March27

Learn more about Khan Academy Kids, our free educational app for children ages 2-7 at www.khankids.org.

Available on Apple, Google Play, and Amazon app stores:
http://khan.co/KhanKids-YT-Apple
http://khan.co/KhanKids-YT-Google
http://khan.co/KhanKids-YT-Amazon

Subscribe to our channel so you don’t miss a single episode of Circle Time!

Learn the letter H with Ollo the Elephant from Khan Academy Kids!

Visit us at http://www.khankids.org to learn more about Khan Academy Kids, a free educational app for preschool through 2nd grade.

Available on Google Play, Apple, and Amazon app stores:
➡️ http://khan.co/KhanKids-YT-Google
➡️ http://khan.co/KhanKids-YT-Apple
➡️ http://khan.co/KhanKids-YT-Amazon

You can also access other letters of the alphabet on our Letters and Letter Sounds playlist here: http://khan.co/KhanKids-Letters

Subscribe to our channel for more videos like this.

The blue fruit is Peck's favorite food! The letters "u" and "e" team up to make the long /ū/ sound. The letters "u" and "i" team up to make the long /ū/ sound too. Learn about vowel teams with Reya the Red Panda from Khan Academy Kids.

Visit us at http://www.khankids.org to learn more about Khan Academy Kids, a free educational app for preschool through 2nd grade.

Available on Google Play, Apple, and Amazon app stores:
➡️ http://khan.co/KhanKids-YT-Google
➡️ http://khan.co/KhanKids-YT-Apple
➡️ http://khan.co/KhanKids-YT-Amazon

You can access other videos about vowel teams on our playlist here: http://khan.co/KhanKids-VowelTeams.

Subscribe to our channel for more videos like this.

Learn about dialog and other reading comprehension lessons in the FREE Khan Academy Kids app! https://go.learn.khanacademy.o....rg/khanacademy/YouTu

To improve reading comprehension, Reya reinforces the techniques of stopping and re-reading to check the understanding of a story. Great idea, Reya!

Visit us at http://www.khankids.org to learn more about Khan Academy Kids, a free educational app for preschool through 2nd grade available on Apple, Google Play, and Amazon app stores.

You can also access other videos on our Reading Comprehension playlist here: http://khan.co/KhanKids-ReadingComprehension.

Subscribe to our channel for more videos like this.

Questions? Reach our team at khankids@khanacademy.org.

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Petardiers were special units of late medieval and early renaissance armies.
These explosive specialists were not engaged in open battles, but only during sieges where their skills were the most useful.

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Created by Daniel Turner

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Chris Kane
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Season X: Highlanders is bringing Scottish might to Conqueror's Blade. Play and get 7 days of premium time FREE here: https://bit.ly/3GGhKcq
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The Soldier Who Would Not Die in the Boer War, World War I, World War II...

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Credit:
Created by Daniel Turner (B.A. (Hons) in History, University College London)
Script: Dejan Milivojevic
Narrator:

Chris Kane
https://vocalforge.com/

Are you one of those people that always has 47+ tabs open in their browser?
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The Antonov 225, once the largest aircraft in the world, the heaviest aircraft ever built and with the largest wingspan, now rests in pieces at the Hostomel airport near Kyiv. It was built as a carrier for the Soviet space craft Buran, it had survived the dissolution of Soviet Union, storage time, repairs and refurbishment, financial difficulties and problems and would serve for many years, carrying huge objects, machines and cargo only to end its career as a victim of battle that took place around it.

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Credit:
Created by Daniel Turner (B.A. (Hons) in History, University College London)
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Books
Energiya-Buran: The Soviet Space Shuttle By Bart Hendrickx, Bert Vis
Mega Machines: Roar into action with these super-charged racers! By Paul Harrison

Big Wings: The Largest Aeroplanes Ever Built By Philip Kaplan

Soviet Life, Issues 7-12

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Credit:
Show Created by Daniel Turner (B.A. (Hons) in History, University College London)
Script Writer: Robert de Graaf
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Bryan 'Lazlo' Beauregard

Get your free trial of MagellanTV here: https://try.magellantv.com/simplehistory. It's an exclusive offer for our viewers: an extended, month-long trial, FREE. MagellanTV is a new kind of streaming service run by filmmakers with 3,000+ documentaries! Check out our personal recommendation and MagellanTV’s exclusive playlists: https://www.magellantv.com/explore/history

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Credit:
Created by Daniel Turner
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War in general isn’t a pleasant place to be, however, it's quite clear that there are some jobs that are simply worse than others. While some soldiers may find themselves in unfortunate positions through direct orders of command, there are other roles that people have willingly volunteered for... and then discovered exactly why it was a terrible, terrible idea. Here are some jobs throughout military history you absolutely do NOT want to volunteer for.

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Credit:
Show Created by Daniel Turner (B.A. (Hons) in History, University College London)
Script: Natasha Martell
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Chris Kane
https://vocalforge.com/