A disc is thrown into the air with an upward velocity of 20 ft/s. It's height h in feet after t seconds is given by the function h=-16t^2+20t+6.

1. How long will it take the disc to reach the maximum height?
2. What is the maximum height that the disc reaches?
3. How long does it take for the disc to hit the ground?

Find the value of p for which the polynomial 3x^3 -x^2 + px +1 is exactly divisible by x-1, hence factorise the polynomial

What is the lcm of 16 and 40 ? 24 and 40 ?

Suppose you just purchased a digital music player and have put 8 tracks on it. after listening to them you decide that you like 4 of the songs. with the random feature on your player, each of the 8 songs is played once in random order. find the probability that among the first two songs played (a) you like both of them. would this be unusual? (b) you like neither of them. (c) you like exactly one of them. (d) redo () if a song can be replayed before all 8 songs are played.