Abaseball is thrown in a parabolic arc. it's position above the ground at a given point in time can be represented by the quadratic function latex: p\left(t\right)=\frac{1}{2}gt^2+v_0 t+p_0 p ( t ) = 1 2 g t 2 + v 0 t + p 0 , where latex: t\ge0 t ≥ 0 , latex: g g is -32 ft/sec/sec, latex: v_0 v 0 is initial velocity, and latex: p_0 p 0 is its initial position above the ground. if the ball was thrown straight up at 16 ft/sec when it was 5 ft above the ground, how high did it go? (type the number, do not include units in your answer)

If f(x) = 2x + 2 and g(x) = x? , what is (gºf)(2)?

Hey hotel charges guests $19.75 a day to rent five video games at this rate which expression can be used to determine the charge for renting nine video games for one day at this hotel? pls

Afriend of mine is giving a dinner party. his current wine supply includes 10 bottles of zinfandel, 8 of merlot, and 11 of cabernet (he only drinks red wine), all from different wineries. (a) if he wants to serve 3 bottles of zinfandel and serving order is important, how many ways are there to do this? ways (b) if 6 bottles of wine are to be randomly selected from the 29 for serving, how many ways are there to do this? ways (c) if 6 bottles are randomly selected, how many ways are there to obtain two bottles of each variety? ways (d) if 6 bottles are randomly selected, what is the probability that this results in two bottles of each variety being chosen? (round your answer to three decimal places.) (e) if 6 bottles are randomly selected, what is the probability that all of them are the same variety? (round your answer to three decimal places.)