Enter a solution and get a hard equation that gives that answer. While youre pondering this, try out this color-identifying test that only 1 percent of people can ace. Let the Children Come: The Sacrament of Reconciliation and Children | USCCB Pope Benedict XVI 1927-2022 tribute page and access to resources here. According to VNEXPRESS, this puzzle is meant for third graders. So, make sure that your equations are clear and easy for people to read. C = 5 9 ( F) C = 5 9 ( 1) = 5 9 Therefore, statement I is true. Each different variable (x 1 =x, x 2 =y, x 3 =z) tells you something different. A Prayer For Spiritual Warfare. Catholic to the Max Review | Catholictothemax.com Ratings. It all adds up if you look at the total, not the debt owed. It took over a million computing hours to find the solution. 2 were here. Re: Very difficult equation. 90% OFF Catholic To The Max Coupon Code | Promo Code. This can cause confusion and error in your calculations if you do not know where each formula begins or ends. Baby bonnet has traditionally accompanied the tradition of the baptism because of its functionality. But heres the thing: They can be solved in a flash, regardless of how ridiculously difficult they appear. For example, if you want to write an algebraic equation with one variable, select Algebraic Equation from the drop-down menu at the top of the editor window. Which pins do you have to knock over to get a total of 100 points? A Mathematician Has Finally Solved the Infamous Goat Problem, This Math Puzzle Stumped MIT Applicants on the 1876 Entrance Exam, finally cracked one of historys oldest open problems, reduce the proof to a large, finite number of cases, Your Privacy Choices: Opt Out of Sale/Targeted Ads. So were logically left with the case that the statement is true, but has no proof. Below, youll see the binary notation for the decimal numbers 1 through 7. Each output is a random math problem. These were some of the hardest math questions, which probably left your mind boggled. Perelmans proof had some small gaps, and drew directly from research by American mathematician Richard Hamilton. Shoppers save an average of 20.0% on purchases with coupons at shop.catholicsupply.com, with today's biggest discount being 50% off your purchase. All polynomials up to degree 4 satisfy these conditions, but starting at degree 5, some dont, and so theres no general form for a solution for any degree higher than 4. num2math. Today, theyre all still unsolved, except for the Poincar conjecture. Catholic Spiritual Warfare Prayers (2021 Guide). Step 3:Your equation will appear in a separate window below, where you can check it against your textbook or instructors notes, if necessary! This will ensure you dont forget any steps or formulas you need to remember. x = -2.25. By making a table of the dates and using the process of elimination, one can determine that Cheryl's birthday is July 16. What the science reveals, Electricity can heal even the worst kind of wounds three times faster, new study finds, Two massive gravity batteries are nearing completion in the US and China, The worst case Starlink scenario? For his efforts, Wiles was knighted by Queen Elizabeth II and was awarded a unique honorary plaque in lieu of the Fields Medal, since he was just above the official age cutoff to receive a Fields Medal. 5x = 2x + 4 4^x = Y. With that version of the rules, which is still taught in many schools, the answer would be 1. Poincar then went up to 4-dimensional stuff, and asked an equivalent question. Hans Urs von Balthasar on the Spiritual Exercises: An Anthology. Confidence. You can keep testing with the math operators until you find the correct answer. Select Copy Math Equation from the menu on your screen and then click on OK when it appears on your screen again. The tool allows you to enter your numbers into the equation, showing you the answer. Arguably the greatest mathematical project of the 20th century, the classification of finite simple groups was orchestrated by Harvard mathematician Daniel Gorenstein, who in 1972 laid out the immensely complicated plan. 2. For those of you who are just starting or have tried to do long math equations before, here are some tips when doing long math equations copy paste. After some revisions and developments, the conjecture took the form of Every simply-connected, closed 3-manifold is homeomorphic to S^3, which essentially says the simplest 4D shape is the 4D equivalent of a sphere.. David Grossman is a staff writer for PopularMechanics.com. 8 Powerful Spiritual Warfare Prayers | Pray This Warfare Prayer . Time to put your brainpower to work! Why Trust Us? It was groundbreaking, yet modest. The number on each loop is the number of blocks that could fit in the middle. 7x = 2x - 1 He proved the foundational theorems about cardinality, which modern day math majors tend to learn in their Discrete Math classes. So if the patch covers up the entire lake on the 48th day, it means the lily pad was half the size of the lake on day 47. The enemy is trying to take back ground that Jesus has already won. USCCB Study Materials for the Bible including Articles, Catholic Beliefs and the Old Testament. 7x + 7 = 2x + 6 Its a tricky one, but this is how it goes: John paints on apartment 8, then he paints on apartment 18 (where the 8 digit comes up again) and, similarly, 28th, 38th, 48th, 58th, 68th, 78th, 80th, 81st, 82nd, 83rd, 84th, 85th, 86th, 87th, 88th, 89th, and 98th apartments. :-5 => 5x / 5 = -1 / 5 In some significant sense, a ball is the simplest of these shapes. Contact Us - Queen Catholic Supply. If the equation is too small and hard to read, people will try to change it or leave it blank. Copy and paste hard math equations A fun way to do it yourself would be to work backwards. Modern math students learn the angle trisection problemand how to prove its not possiblein their Galois Theory classes. These are known as the Pythagorean Triples, like (3,4,5) and (5,12,13). The Catholic Encyclopedia (15 vols.) If each of these runners travels the indicated number of spaces in the same amount of time, at which numbered spot will all of the runners be next to one another? Generate the question first, work out the solution and then check with the answer shown below the question. We may earn commission from links on this page, but we only recommend products we back. School Technology Support Specialist I - Casual Roster. Search Jobs - Careers | Calgary Board of Education. 40% Off Catholic Supply of St. Louis Coupon (2 Promo Codes) . My father, turn again my captivity and give me a new song of praise. If you remember the order of operations of PEMDAS from grade school, one generally works through the problem by solving parentheses, then the exponents, multiplication, and division, followed by addition and subtraction. Hearst Magazine Media, Inc. All Rights Reserved. (The Pope is the authentic teacher of the Faith in the Universal Church. x = -0.2, (x + 5) / 4 = (x -3) / 2 afficher des publicits et des contenus personnaliss en fonction de vos profils de centres dintrt; mesurer lefficacit des publicits et contenus personnaliss; et. A century later, in 2003, a Russian mathematician named Grigori Perelman posted a proof of Poincars conjecture on the modern open math forum arXiv. The way I figured this out is by thinking about how there are eight columns, so after eight numbers, a new row starts with the letter a again. x3+y3+z3=k, with k being all the numbers from one to 100, is a Diophantine equation that's sometimes known as "summing of three cubes.". the same must be done to the other side; if you subtract something, there is no exception. So the question mark must be replaced with a 0, to keep the sum at 15. Heres how you can think of that. The challenge: use each digit 1-9 only once to fill in the snake and make the equation equal 66 (colons are division signs). Writing the forms when theyre possible is one thing, but how did mathematicians prove its not possible from 5 up? Programming | Ready to test your math skills? "I feel relieved," Booker says of breaking the 65-year old puzzle first set down at Cambridge in a press statement. 1. Theyll challenge you to look at the problems a different way and test your logic and problem-solving skills while youre solving. With this simple programme, you can generate questions at random, along with answers - unlimited number of questions. BloomX: Artificial pollination tech is revolutionizing how our growing planet gets fed, Right to repair: Colorado becomes first state in the US to pass the law, Our understanding of reverse osmosis has just been proven wrong, Engineering 'Kanger': A mobile heater for the harsh winters of Kashmir, South Korea aims to deliver the world's first solid state-batteries for EVs, Space cannon could fire payloads to orbit in 10 minutes at Mach 20, The Blueprint: Do animals go through break-ups? - 7 => 7x + 7 - 7 = 2x + 6 - 7 That turned out to be much harderas in, no one was able to solve for those integers for 65 years until a supercomputer finally came up with the solution to 42. The spirituality is very much in-the-world and appealing to many kinds of people. Have a close look at the equation again, and find out the common thing among the equations. So when mathematicians debate the best choices for the essential axioms of mathematics (its much more common than you might imagine) its crucial to be aware of this phenomenon. Hardest Math Problems And Equations Unsolved The Longest Proof In History Of Mathematics Cnrs News 2529 Unsolved Math Problems Explain Xkcd 10 Of The Most Important Equations In History Viral math equations that stumped the what is most complicated equation hardest problem solved ever formulas longest known quora this in tried to stump Obviously.). The sum of three consecutive terms of a geometric sequence is 104 and their product is 13824.find the terms. (No repeat numbers.). Recommended Reading Maths is challenging; so is finding the right book. Ensure the formula is entered correctly before copying it, so you dont end up with a mess of copied formulas. 1.To observe exactly what has been prescribed regarding material, color, and shape of the Scapular, that is it must be 100% brown wool in a rectangular shape. Why dont you concentrate on the triangle again and find all the triangles? So I thought about multiples of ten (since 100 is one). "In this game it's impossible to be sure that you'll find something. Most of these are just simple math, or even common knowledge (a fourth of 100)! -x = -11 That one was seriously trickyjust like this simple math question for kids thats stumped the Internet. Grab any map and four crayons. A Catholic Introduction to the Bible: The Old Testament Hardcover September 15, 2018 by John Bergsma (Author), Brant Pitre (Author) 619 ratings See all You appear to be on a device with a narrow screen width (i.e you are probably on a mobile device). OK, yeah, that might have been the hardest of these hard math problems! We may earn commission from links on this page, but we only recommend products we back. There is a formula that has been used for these equations. From solving Rubiks Cube to proving a fact about body-swapping on Futurama, abstract algebra has a wide range of applications. Let the Children Come: The Sacrament of Reconciliation and Children - USCCB. Catholic to the Max ( catholictothemax.com) is a well-known catholic which competes against other religious goods stores like Catholic Company, Concordia Supply, Catholic Shop, Rugged Rosaries and Ignatius Press. Wrong! He published his work in 1837, 16 years after the death of Galois, but nine years before most of Galois work was published. order now. Catholic To The Max Coupons & Promo Codes for Nov 2021. The student wrote 5 + 5 + 5 = 15, and was marked wrong, with the teacher writing in the "correct" solution of 3 + 3 + 3 + 3 + 3 = 15. Maths is challenging; so is finding the right book. A fun way to do it yourself would be to work backwards. Pace; Cond B. Pallen; Thomas J. Shahan and 1 more Publishers: The Encyclopedia Press; The Universal Knowledge Foundation , 19071913 7 Here are some of the best ways to use this tool: a) Practice and review your math skills. A B C D E F G H I J K L M N O P Q R S T U V W X Y Z Ar- (Greek aer , "the air"). Catholic Daily Mass - Daily TV Mass - April 21, 2023 - Facebook. (You can also think of it as adding the second and third signs together than then subtracting that from the first sign.) 1. On the surface, it seems easy. That's why a math Ph.D. professor and Presh Talwalkar fromMindYourDecisions came up with different answers to this problem. The students will finally turn 90 degrees in a left turn. At first, it seems like this will take forever to figure outbut, in actuality, the runners will all be lined up after only six moves! Its a quick four steps, nicely illustrated like this, and the Greeks knew it two millennia ago. In 2000, the Clay Mathematics Institute, a non-profit dedicated to increasing and disseminating mathematical knowledge, asked the world to solve seven math problems and offered $1,000,000 to anybody who could crack even one. Homeschool success through a classical approach. 3. Math was apparently more of a hobby for Fermat, and so one of historys greatest math minds communicated many of his theorems through casual correspondence. NOTE: For this problem, order of operations doesnt apply; youd actually be doing each operation from left to right (you dont have to multiply or divide first, etc). x3+y3+z3=k, with k being all the numbers from one to. Therefore, the students are now facing east. First, make sure that the formulas are correct. Fermat famously wrote the Last Theorem by hand in the margin of a textbook, along with the comment that he had a proof, but could not fit it in the margin. It can be true, and no logical contradictions follow, but it can also be false, and no logical contradictions will follow. Building a nation of healthy communities Formed in 2019 through the alignment of Catholic Health Initiatives (CHI) and Dignity Health, CommonSpirit is one of the largest nonprofit health systems in the U.S., with more than 1,000 care sites in 21 states coast to coast, serving 20 million patients in big cities and small towns across America. My father, my father send me my helper that will lift me out of every messes of life. Two High Schoolers Solve Mathematical Mystery, Researchers Discovered a New 13-Sided Shape, Our Model of Human Color Perception Is All Wrong, How the Fourier Transform Gave Us Color TV, Solution to Riddle of the Week: Long Belt Problem. Click "Generate" several times for a different output. NOTE: For this problem, order of operations doesn't. The first way to find the solution is to add the equation, then combine the sum with that of the previous equation. It goes like this: parentheses, exponents, multiplication and/or division (whichever comes first), addition and/or subtraction (whichever comes first). It's called a Diophantine. BROWN SCAPULAR EXPLAINED AND HOW TO WEAR IT || Catholic Devotion A Catholic Mom's Life 76.6K subscribers Subscribe 77K views 3 years ago #catholic #catholicmom #catholicfamily In this video Access Community Health Network ACT Health Adaptive Biotech Adena Health System AdvantageCare Physicians AdventHealth Adventist Health West Adventist Health West Advocate-Aurora Affirmant Health Partners Akron Children's Hospital Alameda Health System Albany Med Health System Alberta Health Services Aliados All Care Allegheny . According to the PEMDAS rule, one should solve anything inside parentheses, then exponents, and then all multiplication and division, starting from the left to the right, as per the operations. 13 + 2x = 4 - 2x The usefulness of the Prime Number Theorem is huge. The proof of this outcome spanned decades and, naturally, split into two major parts: the proof that CH is consistent, and the proof that the negation of CH is consistent. Can You Solve the Puzzle of Four Knights? Math Study. Try This Brain Teaser: Which Cup Will Fill First? For this answer, youll quickly notice a pattern if you add up the digits in each time; ignore the decimal points. By nswering challenge questionsa Two of these: Network user name; month and date of hire; last four digits of Social Security Number. A seemingly simple math problem had people strongly disagreeing over whether the answer was 7 or 1. These Are the 7 Hardest Math Problems Ever Solved Good Luck in Advance In 2019, mathematicians finally solved a math puzzle that had stumped them for decades. The Economy And 10 Other Things Baby Boomers Ruined. Here are the 15 hardest questions we've seen - if you dare. On average, we find a new Catholic Supply of St. Louis coupon code every 100 days. She tells Albert only the day and Bernard only the month of her birthday. Therefore, solving equation means, getting rid of everything around x by seesaw method. BROWN SCAPULAR EXPLAINED AND HOW TO WEAR IT || Catholic . Queen of Angels Catholic Church Goods Business Office BUSINESS OFFICE: 7600 East Arapahoe Road Suite #104 Centennial, CO 80112 HOURS: Monday - Friday: 10am - There is a formula that has been used for these equations. And if math isnt your strong suit, take heartmost of these hard math problems just use very simple numbers with only basic operationsaddition, subtraction, multiplication, and division. it took 65 years for anyone to solve for those integers before a supercomputer discovered the answer to 42. x = -80538738812075974, y = 80435758145817515, and z = 12602123297335631, just for the record. As a current CBE employee, use Employee Self Service to search and apply for jobs. Since then, the proof has been a popular target for rewrites, enjoying many cosmetic revisions and simplifications. With computer assistance, they exhaustively checked the nearly 2,000 cases, and ended up with an unprecedented style of proof. fivem gun crafting location; pros and cons of lifesource water system; usta friend at court 2022 handbook Each output is a random math problem. We recommend our users to update the browser. This feature allows you to copy an entire equation or just a part of it. The number in the tens place of the top stamp, divided by the number in the ones place of the top stamp, equals the number on the bottom stamp (8 divided by 2 is 4 in the leftmost pair of stamps). Powerful Spiritual Warfare Prayers - Pray for Protection. Every day, the patch doubles in size. Or throw a ball across a field? Part by part, the many facets of the proof were eventually checked and the completeness of the classification was confirmed. (For the record: x = -80538738812075974, y = 80435758145817515, and z = 12602123297335631. The rows and columns all add up to 15, and that is how the answer turned out to be 6. Its possible to understand a (non-mathematically rigorous) version of Gdels argument, with some careful thinking. Catholic Schoolhouse brings joyful learning, famil Right click (or long press if on a mobile device) on an equation to copy the TeX commands or MathML code. With Secure Remote AccessDuo 2. It is not able to copy paste in correct order. There are a lot of Hardest math equation with answer copy and paste that are available online. 4x + 16 + 3x - 9 = 2x - 6 + 12 What number should be below the final barrel? Place your cursor where you want the Symbol and press "Ctrl + V . Did you know about these math lessons youll actually use in real life? No need to reverse a number with only one digit, so theres your answer. Si vous souhaitez personnaliser vos choix, cliquez sur Grer les paramtres de confidentialit. Does your child like to get up on their toes and spin around? Think of it as three pairs of two-digit numbers. The Online math Equation Writer is designed to be easy to use, which means anyone can learn how to use it in just a few minutes. And were back to a really tricky one! Its possible to color each state (or country) on the map, following one rule: No states that share a border get the same color. Others require a fill-in-the-blank technique that requires you to use trial and error and work backward. Drawing on mid-19th-century ideas, two mathematicians, Jacques Hadamard and Charles Jean de la Valle Poussin, independently proved the Prime Number Theorem in 1898. +10 => 5x - 10 + 10 = 2x - 6 + 10 He said his work was for the benefit of mathematics, not personal gain, and also that Hamilton, who laid the foundations for his proof, was at least as deserving of the prizes. 3. Here's a Numberphile video explaining why this problem has proved to be so tricky: Earlier this year, Andrew Booker of the University of Bristol spent weeks with a supercomputer to finally arrive at a solution for 33. This feature allows you to copy an entire equation or just a part of it. Gdels work in mathematical logic was totally next-level. More than just Coding and Math! 1. Answer: 18This is another tricky math question where different people have come up with different answers. Great minds come together, and still, their calculations do not provide the same results. by Charles G. Herbermann; Edward A. Well, to simplify the question, the difference between $1 and 10 cents is 90 cents, not $1. About the Catholic Conference of Ohio - ohiocathconf.org. Hardest math equation with answer copy and paste can be a useful tool for these scholars. For instance, in the table, you can already see that 10 is under the letter b and 20 is under the letter d. So 30 will be under f, 40 will be under h, 50 will circle back to b, and so on. With St. Teresa of Avila's masterpiece The Interior Castle as his guide, bestselling author Dan Burke takes you on an illuminating journey through the seven levels of spiritual progress, explaining what God is accomplishing within your soul at each stage, as well as the finely tailored demonic strategies applied to throw you off your path. The Guardian pointed out the simple solution: turn the picture upside down and you'll see that the numbers are in numerical order from 86 to 91. You may be able to find the same content in another format, or you may be able to find more information, at their web site. Remember the quadratic formula? See how you fare with this elementary schoollevel math test. Answer: 20 timesIf you carefully read the question, the answer is within the question itself. Etsy. var today = new Date(); In the late 19th century, a German mathematician named Georg Cantor blew everyones minds by figuring out that infinities come in different sizes, called cardinalities. By the 1990s, the proof was widely accepted. Two High Schoolers Solve Mathematical Mystery, Researchers Discovered a New 13-Sided Shape, Our Model of Human Color Perception Is All Wrong, How the Fourier Transform Gave Us Color TV, Solution to Riddle of the Week: Long Belt Problem. You may need to change the font to "Segoe UI Emoji", "Webdings", or "Symbol" font to be able to get nice symbols. Spotted onThe Daily Mail, the question was originally created by Go Tumble and shared onWikrbefore taking off on Facebook and going viral. This also helps them understand the equation without having to read through it first before understanding it. Trickythis one doesnt require arithmetic at all! Alejandro Mallea/From the book A Mathematical Introduction to Logic, by Herbert Enderton. Groups can be finite or infinite, and if you want to know what groups of a particular size n look like, it can get very complicated depending on your choice of n. If n is 2 or 3, theres only one way that group can look. Make a chart indicating where each runner will be after each move. To figure that out, all you really need to do is add! CH has been proven independent, relative to the baseline axioms of math. Crazy Math Equation Copy And Paste. After the math world spent a few years verifying the details of Perelmans work, the awards began. Observatory will study, monitor Marian apparitions - Catholic Courier. Try This Brain Teaser: Which Cup Will Fill First? And the final pair actually mirrors the first pair; youre also multiplying a 2 to get a 4! Without writing out every single number, can you figure out which letter the number 100 will be underneath? Hardest math equation with answer copy and paste is a software program that supports students solve math problems. Applications of Trigonometry in Real Life (Uses & Examples), The Applications of Calculus in Everyday Life (Uses & Examples), 10 Applications Of Probability In Real Life, The Most Famous Mathematicians in the World, Math in Everyday Life: Know the Uses & Examples for Making Math Meaningful, Why is Math Important? Get a chuckle from these clever math jokes. Click on SIGN UP FOR AN ACCOUNT and complete the following fields: Portal code: CHIMemorial Company: CHI Memorial Name: First and last name Phone: Your phone number Email Address: Your email address Password: Create your personal password (do not use your CHI Memorial network password) Confirm Password: Click And there can be more than one symbol in each ellipsis spot. b) Learn how to solve equations with ease and accuracy. Sure. ANSWER EXPLANATION: Think of the equation as an equation for a line y = m x + b where in this case C = 5 9 ( F 32) or C = 5 9 F 5 9 ( 32) You can see the slope of the graph is 5 9 , which means that for an increase of 1 degree Fahrenheit, the increase is 5 9 of 1 degree Celsius. For decades, a math puzzle has stumped the smartest mathematicians in the world. Originally known as the Ohio Catholic Welfare Conference, the Conference was given its present name by the bishops of Ohio in 1967. Enough time has This beautiful and unique Catholic liturgical calendar showcases the very best Marian art from the Nelson Family's beloved Catholic Art Catholic Religious Liturgical Calendar 2023: Our Lady | Monthly 11"x8.5" | Catholic to the Max Brand: Catholic to the Max 4 ratings $1350 About this item Catholic Liturgical readings Feast days, Holy Days, and secular holidays Color coded Monthly devotions 10.75"x8.25" closed, 10.75"x16.5" open Consider a similar item. Check out our catholic confirmation gift for girls selection for the very best in unique or custom, handmade pieces from our shops. Our proprietary, activity-based curriculum with live, real-time instruction facilitates: Problem Solving. Step 1:Select the equation you want to write in the editor window. Gdels Second Incompleteness Theorem is similarly weird. A new book makes the startling claim, The 'Sputnik Moment' upended the global order once, but won't do so again, (screen capture) MindYourDecisions/YouTube. Calgary Board of Education. For this math exercise, see how fast you can solve these not-so-hard math problemswhile blasting your favorite music. Its a weird state of affairs, but not completely uncommon in modern math. In the mood for something harder? He's based out of Brooklyn. The students will first turn 90 degrees in a right turn and then 180 degrees in an about-turn. Its also possible, yet ugly, to do this for degree 4 polynomials ax+bx+cx+dx+f=0. Education Answer: It will take 47 days for the patch to cover half of the lake.If you assumed that half of the lake would be covered in half of the time, then your assumption could be incorrect. After practicing your math skills, use this website as a learning tool so that you can learn how to solve different types of equations with ease and accuracy! This will help you become more familiar with all sorts of problems so that you can solve any kind of equation anytime! 1 Give up something thats not food If you find yourself wasting a lot of There's no trick or complicated math necessary finding the correct configuration of numbers comes down to trial and error and process of elimination. So, what is the best way to copy-paste math equations? Which three numbers (0 through 9) do you need to replace the question marks with to have the answer be the largest number possible? Or maybe, Is your child interested in technology, programming computers, or creating video games? (Hint: Its a one-digit number.). So, 4^1 = 4, 4^2 = 16, 4^3 = 64, and 4^4 = 256. His Incompleteness Theorems are often misunderstood, so heres a perfect chance to clarify them. CommonSpirit Health | Compassionate Care for Our Communities. If you try to copy more than one formula at once, it will become difficult to figure out which formula is what because they can look very similar when pasted over each other. The student drew an array with six rows and four columns, getting the answer that 4 x 6 = 24. So, 4^1 = 4, 4^2 = 16, 4^3 = 64, and 4^4 = 256. Naturally, mathematicians wanted a comprehensive list of all possible groups for any given size. There now are Catholic Conferences similar to Ohio's in forty Use the same user name and password to search and apply to teaching jobs. A consistent system is one that wont give you any logical contradictions. Hardest math equation with answer copy and paste. What eluded them was cutting an angle in thirds. So Booker turned to MIT math professor Andrew Sutherland, and Sutherland in turn enlisted the help of Charity Engine, which utilizes idle, unused computing power from over 500,000 home PCs to create a crowdsourced and environmentally conscious supercomputer. Twitter user Mat Whitehead laid it out in a table to show that there's not a missing $1 after all, which you can view here. You can copy and paste the generated equations. This content is imported from youTube.