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Jill and four friends go camping together for 5 days. The friends share the cost of the trip equally. These costs are: £120 for fuel, £58 for food, £100 for equipment and £207 for activities. How much does Jill have to pay for her share of the costs?

The first thing we need to realise that the cost of the trip is going to be split between 5 people (Jill + 4 friends). As they are all sharing the cost of the trip equally, we need to find the total cost ...

Answered by Lauren D. • Maths tutor

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Prove by induction that f(n) = 2^(k + 2) + 3^(3k + 1) is divisible by 7 for all positive n.

First we establish our base case: f(0) = 2² + 3¹ = 4 + 3 = 7, so clearly f(0) is divisible by 7.Now. by the inductive hypothesis. we assume that f(k) is divisible by 7, and attempt t...

Answered by William P. • Further Mathematics tutor

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How do you define a class in python

Here's a simple example of a class:class Animal: def init(self, name, noise): self.name = name self.noise = noise def make_noise(self): print(self.noise) here init

Answered by William P. • Python tutor

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how do I solve the equation x^2 + 7x + 11 = 0, to 3dp?

This is a quadratic equation and there are three ways to solve one. This question specifies that the answer should be left to three decimal places. This tells you that you can not factorise, as your...
JD
Answered by Jamie D. • Maths tutor
3958 Views

Let f (x) = 5x and g(x) = x2 + 1 , for x ∈  . (a) Find f-1(x) . (b) Find ( f ° g) (7) .
a,y=5xfinding the inverse: x=5y - dividing by 5 (1/5)x=y f^-1(x)=(1/5)x
b,5x(7²+1)=250

Answered by • Maths tutor
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Jill and four friends go camping together for 5 days. The friends share the cost of the trip equally. These costs are: £120 for fuel, £58 for food, £100 for equipment and £207 for activities. How much does Jill have to pay for her share of the costs?

Prove by induction that f(n) = 2^(k + 2) + 3^(3k + 1) is divisible by 7 for all positive n.

How do you define a class in python

how do I solve the equation x^2 + 7x + 11 = 0, to 3dp?

Let f (x) = 5x and g(x) = x2 + 1 , for x ∈  . (a) Find f-1(x) . (b) Find ( f ° g) (7) .

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