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Bob goes on a run. He runs at a constant speed of 5m/s for 30 minutes. How far does he run?

we know that distance = speed x time, so we should multiply the time (in seconds) by the speed that Bob runs. So Bob runs a distance of 5 x (30x60) = 5x1800 = 9000m (or 9km)

Answered by Adam R. • Maths tutor

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f(x)=cos(x), g(x)=2+cos(x-1), state g(x) as a vector applied to f(x)

First of all, look at what has happened to the y co ordinates, they have all been moved up by 2 units. Now consider the x co ordinates, they have been shifted to the right by 1 unit. So the vector is 1 2<...

Answered by Rachel M. • Maths tutor

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Solve the simultaneous equations: 5x + y = 21, x - 3y = 9

5x + y = 21x - 3y = 9First, find the lowest common multiple for x or y and make the equations equal for either x or y.Here, we multiply the second equation by 5 to make the amount of x the same. The equat...

Answered by Sophia P. • Maths tutor

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Given that f(x ) = 4x^3 + 12, evaluate f ( −2) .

In this question we are looking to find a value by substitution. In this case we are substituting the integer (-2) into the equation in place of the x which would be illustrated as f(-2)= 4(-2)^3+12. It i...

Answered by Mikele P. • Maths tutor

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A game consists of 5 cups turned upside down, under one of the cups is a prize. 5 friend's pick a cup in turn and lifts it up, if they get the prize, they win , but if not, the cup is removed and the next friend picks. What position is it best to pick?

The first friend to choose has 5 cups to pick from and only 1 that will win them the prize, so their probability of winning is 1/5.The 2nd friend relies on the first friend to not win, this with a probabi...

Answered by Alex M. • Maths tutor

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