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How would you work out the price of a trip if it is usually £24 but a man has a railcard that gives him 30% off?

In order to work out 30% off something you can use two methods. I'll explain both. Method one: Work out 30% of the total price. This would be the same as working out 10% (dividing by 10 = £2.40) and multiply...
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Answered by Chloe T. • Maths tutor
3522 Views

How do I show (2n)! >= 2^n((n!)^2) for every n>=0 by induction?

First we need to be clear how to construct a proof by induction. It has two main parts, the base case and the inductive step . Let P(n) denote that the statement is true for a fixed n. Our base case is to ch...
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Answered by Connor F. • Maths tutor
8387 Views

What is the possessive pronoun in Latin?

The possessive pronoun is translated as 'my' 'your' 'his' 'their' etc in English, and can be easily confused with the personal pronoun in Latin - especially with regards to 'ego, me' etc (the personal pronou...
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Answered by Cian K. • Latin tutor
5077 Views

Draw an Alkane with the molecular formula C4H8 as well as a possible functional group isomer and state a chemical test you can use to differentiate between the two.

Many organic molecules follow specific formulas to help identify them. For Alkanes this is: C n H 2n+2 (n being the total number of carbon atoms). However, this is not the case with the given molecular formu...
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Answered by Shahaab N. • Chemistry tutor
11549 Views

integrate cos(2x) + sin(3x)

the differential of cos(x) is -sin(x). the differential of cos(2x) is -2sin(2x). you can think of it as differentiating what is in the bracket and putting that in front of the -sin(2x). when differentiating ...
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Answered by Ajay D. • Maths tutor
7969 Views