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The formula for the volume of a cone is V=1/3πR^2H. If R=6 and H=5, work out its volume in terms of π.

V = 1/3π x (6x6) x 5V = 1/3π x 36 x 5V = 1/3π x 180V = 60π
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Answered by Felicity C. • Maths tutor
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If there are 24 doughnuts in a box and a bakery store orders 6 boxes. How many doughnuts will they receive?

24 x 6 = 144 doughnuts
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Answered by Natalie R. • Maths tutor
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If f(x) = 2x+5, g(x) = 8x-7 and f(x)=g(x). Find the value of x. Show your working.

f(x) = g(x), 2x+5=8x-7, 12=6x, 6x=12 therefore, x=2.
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Answered by Natalie R. • Maths tutor
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How do you integrate (2x)/(1+x^2) with respect to x?

The key here is to recognise that this is in the form f'(x)/f(x). We can use the idea that integration is the inverse of differentiation, and the knowledge that the derivative of ln(f(x)) is equal to f'(x)/f...
Answered by • Maths tutor
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How do I know which is the null hypothesis, and which is the alternative hypothesis?

Generally, the null hypothesis is the one we want to reject, and the alternative is the one we want to prove is true. For example, if we were testing whether growing in the Sun made a plant grow healthier, w...
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Answered by Tegan C. • Maths tutor
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