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Work out the value of 2a^2 + b^3 when a = 5 and b = –3

To work out the values you need to sub in a and b into the equation, giving you: 2(5) 2 + (-3) 3 From this we use the rules of BODMAS to first complete the orders and obtain: 2*25 + (-27). Again using BODMAS...
KM
Answered by Kyle M. • Maths tutor
5907 Views

Each day Chen buys pasta or a sandwich. Where Pasta costs £3.20 and Sandwich costs £2.75. For 45 days, the relative frequency of Chen buying a sandwich was one fifth. Altogether, how much did he pay?

Firstly work out how many days Chen bought a sandwich, which was one fifth of 45 days. So 45/5 = 9. We then multiply 9 by the cost of a sandwich, 9 2.75 = 24.75. The remaining days Chen must have bought Past...
KM
Answered by Kyle M. • Maths tutor
3945 Views

Explain why the contraction times of the atria and ventricles in the heart differ.

The atria have a shorter contraction time as the ventricles as they only need to pump blood into the ventricles. The contraction time of the ventricles is longer as they need to pump blood through the aorta ...
PK
6547 Views

Prove that (4x–5)^2 – 5x(3x – 8) is positive for all values of x.

To begin we need to simplify the expression. First we multiply out (4x–5)^2 to get 16x 2 +40x+25 and then we multiply out 5x(3x – 8) to get 15x 2 -40x. This makes the whole expression 16x 2 +40x+25-(15x 2 -4...
HW
Answered by Hannah W. • Maths tutor
10360 Views

Can you explain induction and go through an example?

Induction is a method that can be used to prove that a mathematical statement holds for possitive integers, n. It usually consists of four steps, as follows: 1) Basis: Show that the statement to be proved ho...
AS
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