MODELING WITH MATHEMATICS The polynomial $-16t^2+v_0t+s_0$ represents the height (in feet) of an object, where $v_0$ is the initial vertical velocity (in feet per second), $s_0$ is the initial height of the object (in feet), and $t$ is the time (in seconds). Write a polynomial that represents the height of the object. Then find the height of the object after 1 second.

Asphere has a diameter of 10 in. what is the volume of the sphere?

Find the least common multiple of the expressions: 1. 3x^2, 6x - 18 2. 5x, 5x(x +2) 3. x^2 - 9, x + 3 4. x^2 - 3x - 10, x + 2 explain if possible

Aroulette wheel has 38 slots in which the ball can land. two of the slots are green, 18 are red, and 18 are black. the ball is equally likely to land in any slot. the roulette wheel is going to be spun twice, and the outcomes of the two spins are independent.the probability that it lands one time on red and another time on black in any order is(a) 0.5 (b) 0.25 (c) 0.4488 (d) 0.2244