Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/ma....th/precalculus/x9e81

Practice this lesson yourself on KhanAcademy.org right now:
https://www.khanacademy.org/math/precalculus/precalc-matrices/matrix_multiplication/e/multiplying_a_matrix_by_a_matrix?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus

Watch the next lesson: https://www.khanacademy.org/math/precalculus/precalc-matrices/matrix_multiplication/v/multiplying-a-matrix-by-a-column-vector?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus

Missed the previous lesson?
https://www.khanacademy.org/math/precalculus/precalc-matrices/matrix_multiplication/v/matrix-multiplication-intro?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus

Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus!

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 Precalculus channel:
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Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/vectors/e/scaling_vectors?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra

Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/vectors/v/real-coordinate-spaces?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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Read this book and hundreds of other books in the FREE Khan Academy Kids app: https://go.learn.khanacademy.o....rg/khanacademy/YouTu

Snuggle up for a charming winter tale from your friends at Khan Academy Kids! We're delighted to present our latest edition of Story Time, featuring the book Glide on Ice. This touching tale stars Kodi the bear and Ollo the elephant as they venture into uncharted territory, demonstrating resilience and the remarkable strength of friendship. So join us, and let's explore their icy adventure together!

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Questions? Reach our team at khankids@khanacademy.org

In the final years of the First World War, the Russian Empire was coming to its end. It had been devastated by revolution and finally transformed into the first Communist country in the World. In the years following the Revolution, non-Russian nations that lived under the House of Romanov sought to secure their long-lost independence. One of these was Ukrainе. From 1917 until 1921, the Ukrainians had struggled to build and secure an independent country, fighting against the new regime, against their neighbors in the west, and also among themselves.

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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/

Sources:
Magocsi, Paul R. A history of Ukraine. University of Toronto Press, 1996.
Plokhy, Serhii. The Gates of Europe: A History of Ukraine. Basic Books, 2021.
Reid, Anna. Borderland: A Journey through the History of Ukraine. Weidenfeld Et Nicolson, 2015.
Subtelny, Orest. Ukraine a History. Univ. of Toronto Press, 2012.
Ukrainian-Soviet War, 1917–21. Encyclopedia of Ukraine.

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Unlock exclusive behind-the-scenes content, early access to videos, and join us in preserving and sharing the incredible stories of our past. Your support helps us bring history to life! Join now and be a part of the Simple History journey. 🕰🌟

Truth is often stranger than fiction, and sometimes a real life tale is so outlandish, that people are often left to wonder “why hasn’t this been made into a movie.” This is one of those stories.


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Credit:
Show Created by Daniel Turner (B.A. (Hons) in History, University College London)
Script: Robert de Graff
Narrator: Jared Sager

This episode is Sponsored by Wix! Support the Simple History channel by going to: https://www.wix.com/go/simplehistory

When we think of norsemen or the Vikings, many myths come to mind, created from the pencils of artists, stage productions and hollywood movies centuries later.
Lets have a look at 5 of them!

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Credit:
Created by Daniel Turner

Narrator:

Christian H. Miles

Music Credit:

Crusade - Video Classica by Kevin MacLeod is licensed under a Creative Commons Attribution licence (https://creativecommons.org/licenses/by/4.0/)
Source: http://incompetech.com/music/r....oyalty-free/index.ht
Artist: http://incompetech.com/

----------------

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At age 27 on the morning of 12 April 1961, cosmonaut Yuri Gagarin, was helped into his spacesuit and made his way to the launch pad.

He climbed into the Vostok spacecraft, wondering if he would return back to earth, but was calm.

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Credit:

Narrator:

Mike "Eyesadrift" Joseph

Animation:
Daniel Turner

Artwork:
Daniel Turner

Music Credit

'Space Station Experience' - Unicorn Heads

Infinite Perspective by Kevin MacLeod is licensed under a Creative Commons Attribution licence (https://creativecommons.org/licenses/by/4.0/)
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17th Century -
How did the 15 inch sized bayonets of the 17th century evolve by the 21st Century into a combat gadget the size of a pocket knife, that is still in widespread use today with armies across the world?


Copyright: DO NOT translate and re-upload our content on Youtube or other social media.

SIMPLE HISTORY MERCHANDISE

Get the Simple History books on Amazon:

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Credit:
Created by Daniel Turner
Script: Conan White
Narrator:
Bryan 'Lazlo' Beauregard

Music Credit:
Five Armies by Kevin MacLeod is licensed under a Creative Commons Attribution licence (https://creativecommons.org/licenses/by/4.0/)
Source: http://incompetech.com/music/r....oyalty-free/index.ht
Artist: http://incompetech.com/

Sources:

Sword, Lance and Bayonet
By Charles ffoulkes, E.C. Hopkinson
Bayonet to Barrage: Weaponry on the Victorian Battlefield
By Stephen Manning
Manual of the Bayonet, United States Army, 1913
By Herschel Tupes

#Shorts

This organic chemistry video tutorial on IR spectroscopy provides plenty of practice problems that help you to identify the functional groups that correspond to a particular IR spectrum.

Alcohol Reactions - HBr, PBr3, & SOCl2: https://www.youtube.com/watch?v=4PDs3ygNsv4

Free Radical Reactions:
https://www.youtube.com/watch?v=w9RAULFkqKQ

Reactions Summary:
https://www.youtube.com/watch?v=nkh0egRNQz0

Organic Chemistry 1 Final Exam Review:
https://www.youtube.com/watch?v=ej2pSWw6U3w

Mass Spectrometry:
https://www.youtube.com/watch?v=VUIPYnWLSDE

______________________________
Proton NMR Spectroscopy:
https://www.youtube.com/watch?v=vejKDb1dBn8

Carbon-13 NMR Spectroscopy:
https://www.youtube.com/watch?v=QUVTATcXE9Y

Ethers and Epoxides:
https://www.youtube.com/watch?v=BxRLJhHjqMc

Diels Alder Reaction:
https://www.youtube.com/watch?v=sBmoP6KwK-8

Organic Chemistry 2 Final Exam Review:
https://www.youtube.com/watch?v=T5NaUdVfAOc

This chemistry video tutorial explains how to calculate the ion concentration in solutions from molarity. This video contains plenty of examples and practice problems.

Stoichiometry Practice Test: https://www.youtube.com/watch?v=mP2Yg8alyR0

Solute, Solvent, & Solution:
https://www.youtube.com/watch?v=MDHlaTHbEgM

Strong & Weak Electrolytes:
https://www.youtube.com/watch?v=2U2DBWWo6nc

Molarity Practice Problems:
https://www.youtube.com/watch?v=o_iETsDSvkg

Ion Concentration In Solutions:
https://www.youtube.com/watch?v=H5S4TRAzXhQ

Dilution Problems:
https://www.youtube.com/watch?v=FPidlCmymVg

___________________________________
Types of Chemical Reactions:
https://www.youtube.com/watch?v=iIJD8RNLpS0

Solubility Rules:
https://www.youtube.com/watch?v=LnGIKtx_udE

Predicting The Products of Reactions:
https://www.youtube.com/watch?v=MYmrWHzT1oI

Activity Series of Metals:
https://www.youtube.com/watch?v=VatDpKMJ-BU

Will This Reaction Occur?
https://www.youtube.com/watch?v=ACSKrg2RBmY

Predicting Products of SR Reactions:
https://www.youtube.com/watch?v=s4OFBa7Uans

___________________________________
Double Replacement Reactions:
https://www.youtube.com/watch?v=d8vWIGf2mGE

Net Ionic Equations:
https://www.youtube.com/watch?v=0jhNouV9TNo

Writing Chemical Equations From Words:
https://www.youtube.com/watch?v=npyvZSBqyc0

Solution Stoichiometry:
https://www.youtube.com/watch?v=Ab3wfKjaWWQ

Molarity & Dilution Problems:
https://www.youtube.com/watch?v=-4E6rOkiw2I

Acid Base Neutralization Reactions:
https://www.youtube.com/watch?v=UfTJrAPjeys

____________________________________
Acid Base Titration Problems:
https://www.youtube.com/watch?v=HJvALCcKYAc

Mixture Problems:
https://www.youtube.com/watch?v=e2FAAMlAJ3c

Calculating Oxidation Numbers:
https://www.youtube.com/watch?v=j0hI-a6EWWo

Oxidation and Reduction Reactions:
https://www.youtube.com/watch?v=dF5lB7gRtcA

Balancing Redox Reactions:
https://www.youtube.com/watch?v=fdbrhQAM9Gw

Ideal Gas Law Problems:
https://www.youtube.com/watch?v=iaZ96KaQ44c

___________________________________
Final Exams and Video Playlists:
https://www.video-tutor.net/

Full-Length Videos and Worksheets:
https://www.patreon.com/MathSc....ienceTutor/collectio

This chemistry video tutorial explains how to calculate the effective nuclear charge of an electron using the atomic number and the number inner shell electrons or core electrons.

Speed of Light, Frequency, Wavelength: https://www.youtube.com/watch?v=LgYMxH1LCdo

Photon Energy:
https://www.youtube.com/watch?v=PYNSopwd1l4

The Photoelectric Effect:
https://www.youtube.com/watch?v=-LECEvusk8E

De Broglie Wavelength:
https://www.youtube.com/watch?v=cYyFPFU6s_A

The Bohr Model of Hydrogen:
https://www.youtube.com/watch?v=mXxsT1ut35Q

Heisenberg's Uncertainty Principle:
https://www.youtube.com/watch?v=BNYz5EKXVeI

________________________________
Intro to Quantum Numbers:
https://www.youtube.com/watch?v=eRIN9CPDrpo

Orbitals & Atomic Energy Levels:
https://www.youtube.com/watch?v=4sLXUr2HWIs

Maximum Number of Electrons:
https://www.youtube.com/watch?v=UNE-7AuiMGs

Intro to Electron Configuration:
https://www.youtube.com/watch?v=NIwcDnFjj98

Electron Configuration Exceptions:
https://www.youtube.com/watch?v=Ur2PuzJ7KWs

Noble Gas Notation:
https://www.youtube.com/watch?v=6MAKMnZdfbs

Electron Configuration of Ions:
https://www.youtube.com/watch?v=nlZa8lN_-Ds

_______________________________
Orbital Diagrams:
https://www.youtube.com/watch?v=6dRdMy9tgzE

Paired & Unpaired Electrons:
https://www.youtube.com/watch?v=xwWJf48yfNs

Aufbau's Principle & Hund's Rule:
https://www.youtube.com/watch?v=C6afrc1QS6Y

Paramagnetic & Diamagnetic Elements:
https://www.youtube.com/watch?v=SO983iq9GaI

Valence Electrons & Periodic Table:
https://www.youtube.com/watch?v=FPk2ziB9iX0

Effective Nuclear Charge:
https://www.youtube.com/watch?v=JDsMR1bHGO4

_________________________________
Slater's Rule:
https://www.youtube.com/watch?v=TaYUOiEe6OA

How To Identify The Element:
https://www.youtube.com/watch?v=4qwJIJUaIeQ

Quantum Numbers - Mega Review:
https://www.youtube.com/watch?v=lPptuKlCM6k

Quantum Numbers - Practice Test:
https://www.youtube.com/watch?v=E-nOH18dF-c

Final Exams and Video Playlists:
https://www.video-tutor.net/

Full-Length Videos and Worksheets:
https://www.patreon.com/MathSc....ienceTutor/collectio

This calculus video tutorial provides a basic introduction into the product rule for derivatives. It explains how to find the derivative of a function that contains two factors multiplied to each other. It also explains how to use the product rule to find the derivative of a function with 3 factors.

Derivatives - Fast Review: https://www.youtube.com/watch?v=5yfh5cf4-0w&t=1s

Equation of the Tangent Line:
https://www.youtube.com/watch?v=5NyeGzbBJQM

Simplifying Derivatives:
https://www.youtube.com/watch?v=3lUOtjkqfQo

Derivatives - The Product Rule - f*g:
https://www.youtube.com/watch?v=17X5g9QArTc

Derivatives - Triple Product Rule - f*g*h:
https://www.youtube.com/watch?v=cUXW9cj_CpE

Derivatives - Quadruple Product Rule - f*g*h*k:
https://www.youtube.com/watch?v=U8u0VGvFgV0

___________________________________
Derivatives - The Quotient Rule:
https://www.youtube.com/watch?v=8jVDEcQ0wXk

Derivatives - The Chain Rule:
https://www.youtube.com/watch?v=HaHsqDjWMLU

Chain Rule With Trig Functions:
https://www.youtube.com/watch?v=ZyWHTWJ2XpM

Chain Rule - Harder Examples:
https://www.youtube.com/watch?v=_1LTThkXvSw

Chain Rule - Triple SQRT(x):
https://www.youtube.com/watch?v=BTuGkPj7ymE

_________________________________
Derivatives - Composite Functions:
https://www.youtube.com/watch?v=vNXjMTv4vHs

Implicit Differentiation:
https://www.youtube.com/watch?v=xbviQHhU1rA

Derivatives - Inverse Trig Functions:
https://www.youtube.com/watch?v=KbYW9FDm-Zk

Derivatives - Exponential Functions:
https://www.youtube.com/watch?v=yg_497u6JnA

Derivatives - Logarithmic Functions:
https://www.youtube.com/watch?v=Dp9sgIvaKPk

___________________________________
Final Exams and Video Playlists:
https://www.video-tutor.net/

Full-Length Videos and Worksheets:
https://www.patreon.com/MathSc....ienceTutor/collectio

This physics video tutorial explains the concept of the first law of thermodynamics. It shows you how to solve problems associated with PV diagrams, internal energy, heat, and work. It addition, it provides plenty of examples and practice problems associated with isothermal, isochoric or isovolumetric, isobaric, and adiabatic processes.

Open Vs Closed Vs Isolated System: https://www.youtube.com/watch?v=TFP6SvWPOQc

First Law of Thermodynamics:
https://www.youtube.com/watch?v=7Siv2NNCFag

Isobaric Process:
https://www.youtube.com/watch?v=BG-cUpnNmPM

Isochoric Process:
https://www.youtube.com/watch?v=SxfgHdfKjQA

Isothermal Process:
https://www.youtube.com/watch?v=m9h6qyWLscs

Internal Energy of an Ideal Gas:
https://www.youtube.com/watch?v=k3rJs_ioTHc

_________________________
Adiabatic Process:
https://www.youtube.com/watch?v=gaZmZjBtgAM

PV Diagrams:
https://www.youtube.com/watch?v=b-4U_s4e50o

2nd Law of Thermodynamics:
https://www.youtube.com/watch?v=DWiCaDPM7Hk

Heat Engines:
https://www.youtube.com/watch?v=O7TSo_up1Dw

Converting Heat Into Electricity:
https://www.youtube.com/watch?v=LX2cU27kUUc

________________________
Carnot Cycle:
https://www.youtube.com/watch?v=Qi3m9sD5w-A

Otto Cycle:
https://www.youtube.com/watch?v=vAeMmSRdQYY

Refrigerators and Heat Pumps:
https://www.youtube.com/watch?v=sKfgz6JLQRI

Entropy:
https://www.youtube.com/watch?v=Bdn3u2OHvKE

Heat Engines and Refrigerators Review:
https://www.youtube.com/watch?v=QBd2zraOe2k

Physics 1 Review:
https://www.video-tutor.net/ph....ysics-basic-introduc

Chemistry Review:
https://www.video-tutor.net/ch....emistry-basic-introd


Here is a list of topics:
1. First Law of Thermodynamics - Energy Transfer
2. Internal Energy, Heat, and Mechanical Work
3. System vs Surroundings
4. Sign Conventions for Q, Heat Absorbed vs Heat Energy Released
5. Work done on the system vs work done by the system
6. Positive Work - Gas Expansion vs Negative Work - Compression
7. Open System, Closed System and Isolated System
8. Isobaric Process - Constant Pressure
9. Work Done at Constant Pressure Formula / Equation
10. Units of Pressure - Converting atm to Pa
11. Units of Volume - m^3 and L conversion
12. Converting L and atm into Joules
13. PV Diagrams - Work Done = Area Under the Curve or Area of the Shaded Region
14. Cyclic Process, Q=W, Work is Positive for Clockwise Rotation and Negative for Counter Clockwise Direction
15. Ideal Gas Law, PV=nRT
16. Charles Law - Temperature and Volume Relationship
17. Converting Celsius to Kelvin Temperature
18. Heat Transferred During Isobaric Process Formula
19. Isochoric Process - Work Done is Zero
20. Isovolumetric Process - Constant Volume, Internal Energy, and Heat Transferred Equation
21. Thermodynamics Formula Sheet Summary
22. Molar Heat Capacity at Constant Pressure and Constant Volume
23. Monatomic Gases - He, Ne, and Ar - Helium, Neon, and Argon
24. Diatomic Gases - N2, O2, and H2
25. Cv and Cp values for ideal monatomic, diatomic and polyatomic gases
26. Gamma Ratio, Cp/Cv formula
27. Isochoric Process - Pressure and Temperature Formula
28. Combined Gas Law Equation
29. Isothermal Process - Constant Temperature
30. Work Done During an Isothermal Process - Natural Logarithms Derivation - Area under Curve
31. Boyle's Law - Pressure and Volume Relationship
32. Adiabatic Process - No Heat Transferred - Q=0
33. Adiabatic Expansion - Cooling Effect of an Ideal Gas
34. Adiabatic Compression - Increase in Temperature - No spark plugs needed in an internal combustion engine of this type
35. Work, Pressure, Volume and integration Formula, Calculus - Isothermal Process
36. Pressure and Volume Formula With Gamma Ratio
37. Temperature and Volume Equation With Gamma Ratio - Adiabatic Process
38. Internal Energy - State Function - Independent of Path
39. Work and Heat - Not a State Function, Path Dependent
40. PV diagram problems, work, heat, and internal energy calculations

This patreon video tutorial explains how you can quickly search for the full version of my videos that you see on youtube.

My Patreon Page:
https://www.patreon.com/MathScienceTutor/posts

Hi, this is Kids Academy and in our new video for kids, you can learn english ABC alphabet.
The alphabet is a building block that helps kids to develop reading and writing skills.

Try Kids Academy now! Enjoy our special Cyber Week offer. The price was 75% higher! https://www.kidsacademy.mobi/s....ubscription-plan/cyb

There is some debate which should be taught first – UPPERCASE letters of lowercase letters. On the one hand, uppercase letters are easier to identify and draw. On the other hand, most of what is written is in lowercase.
Whichever order you choose, we have prepared this entertaining video for teaching uppercase letters. Cute animals, natural phenomena and your kids’ favorite foods will introduce letters to your little ones and help them learn their ABCs.

00:00 - Start
00:16 - Letter A
00:30 - Letter B
00:48 - Letter C
01:03 - Letter D
01:20 - Letter E
01:42 - Letter F
01:56 - Letter G
02:08 - Letter H
02:21 - Letter I
02:44 - Letter J
02:58 - Letter K
03:13 - Letter L
03:39 - Letter M
03:54 - Letter N
04:14 - Letter O
04:29 - Letter P
04:47 - Letter Q
05:04 - Letter R
05:19 - Letter S
05:39 - Letter T
05:56 - Letter U
06:09 - Letter V
06:24 - Letter W
06:39 - Letter X
06:53 - Letter Y
07:05 - Letter Z

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Uppercase Letters - Learn the Alphabet | Kids Academy

Teaching alphabets sound easy but in reality, it’s one daunting task to decide what to teach the kids and where to start from. Especially when it comes to the uppercase and lowercase alphabets, the teachers themselves can get very confused about what to teach first. It’s not only the written alphabets that you have to teach to the children, in fact, you even have to teach the sounds. So, if you are facing some real-time confusion on deciding what to focus on first then don’t worry and just refer straight to the internet.

Honestly as far as our suggestion is concerned, well, it depends on your students and their learning caliber than what you should be teaching them first. If your kids are more drawn to visuals then yes, you should first teach them how to write the uppercase and lowercase alphabets but if the visuals aren’t necessary to the kids to learn each and everything that you tell them then yes, you can start with the sounds.

For those who don’t know, the uppercase letters are the letters that are written in capital and the lowercase ones are those that are written in small. For example, BOX contains all the uppercase letters and “box” contains all the lowercase letters. It’s one easy to teach and understand a thing so don’t worry because by using different fun activities and games, you can easily teach it all to your students.


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Welcome our new video: Introduction to Fractions for Kids.
This video teaches the mathematical principle of fractions in an easy to understand way for children and kids to learn. This video uses visual representations to point out common fractions that we see in everyday life. This will help children to learn and apply fractions each day.

#TalentedAndGifted #LearnWithKidsAcademy

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Google Play: https://smart.link/597210af6eb83

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