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The mean of 4 numbers is 8 when a 5th number is added the mean becomes 10, what is the 5th number?

Ok, so firstly let's think about what the mean means? Add all the numbers together and then divide by the total number of values we have.So, that means with the 4 numbers we currently have the total divided ...
CO
Answered by Carmen O. • Maths tutor
8604 Views

Find the stationary point(s) of the curve: y = 3x^4 - 8x^3 - 3.

Firstly. Recognise which method you should use to approach this question. In this case, you can find the stationary point of a curve where its gradient is 0 i.e. at a point where the gradient changes from po...
LL
Answered by Laurene L. • Maths tutor
5675 Views

A,B,C and D are points on a circle. ABCD is a square of side 7 cm. Work out the total area of the shaded regions. Give your answer correct to the nearest whole number.

To work out the shaded area, we first need to calculate the area of the square and the area of the circle. The shaded area is equal to the area of the circle minus the area of the square. The area of the squ...
AS
Answered by Avnish S. • Maths tutor
18303 Views

OCR C2 2015 Question 8: (a) Use logarithms to solve the equation 2^(n-3) = 18,000 , giving your answer correct to 3 significant figures. (b) Solve the simultaneous equations log2(x) + log2(y) = 8 & log2(x^2/y) = 7.

(a) This question actually tells us what to do . It is very hard to miss " use logarithms to solve... ". So our first step is going to be to use logs (especially as we can also see that is very lit...
JH
Answered by Jonathan H. • Maths tutor
8188 Views

How do you integrate sin(3x)cos(5x)?

STEP 1 Cannot integrate directly in this form, therefore use a trigonometric identity. Identity: sin(A) + sin(B) = 2sin((A+B)/2)cos((A-B)/2) STEP 2 (A+B)/2 = 3x A + B = 6x (1) (A-B)/2 = 5x A - B = 10x (2) ST...
CF
Answered by Catherine F. • Maths tutor
8875 Views