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Solve the following:$\\frac{3y+4}{2-6y}=\\frac{-2}{5}$.

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Tutorialspoint

Updated on 10-Oct-2022 09:39:42

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Given :The given expression is $\frac{3y+4}{2-6y}=\frac{-2}{5}$.To do : We have to find the value of y.Solution : On cross multiplication, $\frac{3y+4}{2-6y}=\frac{-2}{5}$$(3y+4)5 = -2(2-6y)$$15y+20=-4+12y$$15y - 12y = -4-20$$3y = -24$$y= \frac{-24}{3}$$y = -8$Therefore, the value of y is $-8$.Read More

Find the square root of 3.5.

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Tutorialspoint

Updated on 10-Oct-2022 09:39:42

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Given :The given number is 3.5.To do :We have to find the square root of the given number.Solution :The square root of 3.5 can be found by the long division method.Let us find the square root of 3.5 up to 2 decimals.Following are the Steps to find square root: First ... Read More

What is a Black Hole?

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Tutorialspoint

Updated on 10-Oct-2022 09:39:42

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A black hole is a place where gravity pulls everything such that even light can not get out. The gravity is so strong because the matter has been squeezed into a tiny space. This would happen when a star is dying. Since no light can get out of it, they are invisible. ... Read More

What is meant by series?

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Tutorialspoint

Updated on 10-Oct-2022 09:39:42

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Dear User,Thank you very much for posting your doubt at Tutorix, but we are sorry, your given question is not clear to us, so kindly elaborate what exactly you are trying to ask.We are eager to resolve your Maths and Science doubts.Thanks.

What is momentum?

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Tutorialspoint

Updated on 10-Oct-2022 09:39:42

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Momentum is the quantity of motion that a moving object has.  If an object is in motion then it has momentum. Momentum is defined as the product of the mass of a particle or body that is moving and its velocity. Mathematically,  momentum = Mass $ \times $ Velocity Momentum ... Read More

The organizers of an essay competition decide that the winner in the competition gets a prize of Rs 100 and a participant who does not win gets a prize of Rs 25. The total prize money distributed is Rs 3,000. Find the number of winners, if the total number of participants is 63.

Tutorialspoint

Tutorialspoint

Updated on 10-Oct-2022 09:39:42

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Given :A winner in the competition gets a prize of Rs 100 and a participant who does not win gets a prize of Rs 25. The total prize money distributed is Rs 3, 000.The total number of participants $= 63$.To find :We have to find the number of winners.Solution :Let ... Read More

When a candle burns, both physical and chemical changes take place. Identify these changes. Give another example of familiar process in which both the chemical and physical changes take place.

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Tutorialspoint

Updated on 10-Oct-2022 09:39:40

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When a candle melts, it converts to liquid form. It is a physical change. While burning it produces carbon dioxide, heat, and light. It is an irreversible change. Hence it is also a chemical change. This kind of chemical and physical changes are also occurring in liquefied petroleum gas which ... Read More

Simplify the following:
$(\\frac{\\sqrt{3}}{\\sqrt{2}+1})^2 + (\\frac{\\sqrt{3}}{\\sqrt{2}-1})^2 +(\\frac{\\sqrt{2}}{\\sqrt{3}})^2 $

Tutorialspoint

Tutorialspoint

Updated on 10-Oct-2022 09:39:40

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Given :The given expression is $(\frac{\sqrt{3}}{\sqrt{2}+1})^2 + (\frac{\sqrt{3}}{\sqrt{2}-1})^2 +(\frac{\sqrt{2}}{\sqrt{3}})^2 $.To do :We have to simplify the given expression.Solution :$(\frac{\sqrt{3}}{\sqrt{2}+1})^2 + (\frac{\sqrt{3}}{\sqrt{2}-1})^2 +(\frac{\sqrt{2}}{\sqrt{3}})^2 $We know that, $(\frac{a}{b})^2 = \frac{a^2}{b^2}$ and $\sqrt{a}^2 = a$.$\Rightarrow \frac{\sqrt{3}^2}{(\sqrt{2}+1)^2} + \frac{\sqrt{3}^2}{(\sqrt{2}-1)^2} +\frac{\sqrt{2}^2}{\sqrt{3}^2} $$\Rightarrow \frac{3}{\sqrt{2}^2 + 1^2 + 2.\sqrt{2}.1} + \frac{3}{\sqrt{2}^2 + 1^2 - 2.\sqrt{2}.1} + \frac{2}{3}$  ... Read More

Define Force. Also, name the different types of force.

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Tutorialspoint

Updated on 10-Oct-2022 09:39:40

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A force is a push or pull of an object that causes it to change velocity (to accelerate). Whenever there is an interaction between two objects, there is a force exerted on each of the objects. The S.I unit of Force is Newton. The formula for force implies ... Read More

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