If x varies directly as the square of P and inversely as Q,  and x = 25 when P = 4 and Q = 2, find x when P = 6 and Q =3

Evaluate $\int\limits_{0}^{1}{{{(2x+1)}^{2}}dx}$

The distribution above shows the ages of 120 children. Find the value of x

If ${{110001}_{2}}-{{x}_{10}}={{10101}_{2}}$ find x

The gradient of the line joining (x, 4) and (1, 2) is ½ . Find the value of x.

Solve the inequality $(x+4)(x+1)\le 0$

The scores of ten students in a mathematics test with an average score of 10 are 12, 15, 3, 4, 2x, 8, 10, 13, x and 17. Calculate the value of x

If $y={{x}^{2}}-3x+4$ find $\tfrac{dy}{dx}$ at x = 5

Simplify ${{23}_{4}}\times {{22}_{4}}$

The binary operation * is defined $x*y=xy-y-x$ for real values of x and y. If $x*3=2*x$, find the value of x