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The work in an office takes 200 hours to complete every week. Each person in the office works 35 hours a week. What is the smallest number of people needed to complete the work?

To answer this question we need to divide the hours needed to complete work (200) by how much a person works a week (35). The key aspect of this question that catches people out is that when dividing 2...

TP
Answered by Tom P. Maths tutor
6040 Views

What is Homeostasis?

Homeostasis is the maintenance of a constant internal environment within the body.

This sounds quite confusing but don’t panic – in simpler terms, homeostasis i...

YW
14640 Views

Prove that the function f:ZxZ -> ZxZ defined by f(x,y) = (2x+y,x+y) is a bijetion.

Here, we must remember the definition of a bijection. To be bijective, a function must be both injective and surjective. For a function to be injective, we must have that f(a) = f(b) implies that a = b...

FS
15747 Views

Use l’Hôpital’s rule to find lim(csc(x) - cot(x)) as x -> 0.

This question relies partially on remembering the trigonometric identities, csc(x) = 1/(sin(x)) and cot(x) = 1/(tan(x)) = cos(x)/sin(x). Plugging these values into the equation, we want to find Lim((1-...

FS
11708 Views

Given a^2 < 4 and a+2b = 8. Work out the range of possible values of b. Give your answer as an inequality.

For this question, we want to start by finding the possible values of a from the first equation and then using that to give us information about b from the second equation.

Now, the condi...

FS
8570 Views

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