Afountain launches a stream of water directly out of a pool at a vertical speed of 48 feet per second. the water shoots up and then falls back into the pool. the height, h, of the water at time t, in seconds, is given by the equation h = –16t 2 + 48t. the greatest height of the water above the pool is

36 feet.

Step-by-step explanation:

h = -16t² + 48t .......... (1)

The above equation relates the height h, in feet of the water at time t, in seconds.

Now, condition for greatest height is ......... (2)

So, differentiating equation (1) with respect to t we get, -32t + 48 = 0 {From condition (2).

⇒ t = 1.5 seconds

So, the greatest height is = -16 (1.5)² + 48 (1.5) = 36 feet. (Answer)

answer: a) (0,0), (1,1), (2,8), and (3,27).

step-by-step explanation:

0^3=0

1^3=1

2^3=8

3^3=27

in effect, the exponential equation for this would me y=3^x. each x-coordinate cubed is giving the y coordinate, so a is your answer : )

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.