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Sarah plans to paint a rectangular wall of dimensions 8.7m x 2.3m. A tin of paint costs £16.10 and covers 6 metres squared. Sarah has a budget of £56, can she afford to paint the wall? Explain your reasoning.

(This question would appear on the calculator paper of GCSE Maths) The first step is to calculate the total area of the rectangular wall by multiplying the width and height of the wall: Area (rectangle) = Wi...
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Answered by Rob S. • Maths tutor
5860 Views

What are the three time expressions that are used in Spanish (in the present)?

Hace + time + que + verb in present tense Example: hace ocho años que estudio español Verb in the present + desde hace + time Example: estudio español desde hace ocho años Llevar (conjugated in the present) ...
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Answered by Dapika R. • Spanish tutor
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In Python, write a recursive function that returns the first n Fibonacci numbers.

Begin by denoting the first and second Fibonacci number as 0 and 1 respectively. This helps us define a base case for our algorithm. We know that new Fibonacci numbers are formed by adding its 2 predecessors...
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Answered by Meer S. • Computing tutor
2258 Views

If h(x) = 2xsin(2x), find h'(x).

Differentiate using product rule as expression consist of two functions.Product Rule: d(f(x)g(x))/dx = g(x).f'(x) + f(x).g'(x)Chain Rule: d(f(g(x)))/dx = g'(x) . f'(g(x)) Let: f(x) = 2x f'(x) = 2 - simple di...
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Answered by Meer S. • Maths tutor
4384 Views

A straight line runs through these two coordinates (1,5) and (4,7), find the equation of the line.

Given that the equation is a straight line we know that it will take the form of y = mx + c with m as the gradient and c as the y-intercept. We can find the slope by doing (y 1 - y 2 )/(x 1 -x 2 ) = m , if w...
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Answered by Daniel R. • Maths tutor
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