The 10th term of an AP is 32. If the first term is 3/2, what is the 4th term?

Simplify 1/3-√2. in the form of p + q√2

If a dress is sold for #3800.00 at 20% discount. what is its original price?

If n(P) = 20 and n(Q) = 30 and n(PuQ) = 40, find the value n(PnQ)

Find the equation of a straight line parallel to the line 2x - y = 5 and having intercept of 5

Find the length of a chord 3cm from the centre of a circle of radius 5cm

Solve for k in the equation (¹⁄₈)^k+2 = 1

Factorize 4a² - 9b²

Three times a certain number (x), minus 2 is less than the number minus 6. Find the possible values of x.

Given that S = 3t² + 5t - 10 is displacement of a particle in metres, calculate its initial velocity.

A rectangular pyramid has an area 24cm² and height 7.5cm. Find its volume?

Find the determinant of the matrix \( A = \begin{bmatrix} 2 & 3 \\ 1 & 3 \end{bmatrix} \).

If y varies inversely as x and x = 3 when y =4. Find the value of x when y = 12

Let (*) be a binary operation on a natural number defined by a * b = a - b + (ab)², then find 3 * 5

In the diagram above, XY = 8cm and OX = 5cm. Find OZ

In the diagram above angle LNM and angle YNZ are represented by g and h respectively. Find ∠MNY

The equivalent of (10110.011)₂ in base 10 is?

If the mean of 2, 5, (x+1), (x+2), 7 and 9 is 6. Find the median

Calculate the median of 14, 17, 10, 13, 18 and 10.

A poultry farmer realised 200 eggs from his birds and sold 5.5 crates of eggs. What percentages of eggs are left?

Integrate (2x+1)³

If sec²θ + tan²θ = 3, then the angle θ is equal to

If a fair coin is tossed twice, what is the probability of obtaining at least one head?

The locus of points equidistant from a fixed point

Evaluate (101_two)³

Evaluate ⁿ²⁺¹ C_n+5 if n = 3

If
\(
A = \begin{pmatrix} 2 & 1 \\ 2 & 3 \\ 1 & 2 \end{pmatrix}, \quad
B = \begin{pmatrix} 3 & 2 \\ 4 & 2 \end{pmatrix}
\)
Find \( AB \).

Given that r = √(^3v⁄_πh), make v the subject of the formula

If 8, p, q and 26 is an A.P. Find the values of p and q

Mr Adu spends his annual salary on food(f), rent(r), car maintenance, gifts(g), savings(s) and some miscellaneous (m) as indicate in the table below:

If the above information is represented on a pie chart. What angle represents his spending on food?

If sin θ = - 3/5 and θ lies in the third quadrant, find cos θ

Evaluate log₂(8√2)

The coordinates of the mid-point of the line joining the points (-3,5) and (2,10) is given by?

The number line represented by the inequality

The shaded portion in the venn diagram above represents?

What will be the result obtained when the numerator of 96/50, is decreased by 37.5% and its denominator decreased by 20%.

The cost C of running a school is directly proportional to the number of students N, if 20 students cost #10,000, How many students can #1,000,000 cover?

In how many ways can the letter of ZOOLOGY be arranged?

Find x if the mean of 2x, 4x, 2x - 13 and 6x is 4.

Find the limit of \(y = \frac{x^{3}+6x-7}{x-1}\) as \(x\) tends to 1.