In the diagram, O is the centre, \(\bar{RT}\) is a diameter, < PQT = 33\(^o\) and < TOS = 76\(^o\). Using the diagram, find the size of angle PRS.

Find the 7th term of the sequence: 2, 5, 10, 17, 6,...

If \(\frac{27^x \times 3^{1 - x}}{9^{2x}} = 1\), find the value of x.

If 2n = y, Find 2\(^{(2 + \frac{n}{3})}\)

The sum 110112, 11112 and 10m10n02. Find the value of m and n.

Given that logx 64 = 3, evaluate x log\(_2\)8

If {X: 2 d- x d- 19; X integer} and 7 + x = 4 (mod 9), find the highest value of x

A trader bought an engine for $15,000.00 outside Nigeria. If the exchange rate is $0.075 to N1.00, how much did the engine cost in Naira?

Factorize completely: 6ax - 12by - 9ay + 8bx