For what values of m is \(9y^{2} + my + 4\) a perfect square?

A particle accelerates at 12\(ms^{-2}\) and travels a distance of 250m in 6 seconds. Find the initial velocity of the particle.

In how many ways can 9 people be seated on a bench if only 3 places are available?

Find the variance of 1, 2, 0, -3, 5, -2, 4.

If the points (-1, t -1), (t, t - 3) and (t - 6, 3) lie on the same straight line, find the values of t.