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

Evaluate \( (101_{two})^3 \)

The shaded portion in the venn diagram above represents?

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

If \( \sin \theta = -\frac{3}{5} \) and \( \theta \) lies in the third quadrant, find \( \cos \theta \)

Simplify \( \frac{1}{3-\sqrt{2}} \) in the form of p + q√2

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

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

Solve for k in the equation \( \left(\frac{1}{8}\right)^{k+2} = 1 \)