If a superball is bounced from a height of 20 feet, the function

f (x)  20 (0.9) x gives the height of the ball in feet of each bounce,

where x is the bounce number. What will be the height of the

6th bounce? Round your answer to the nearest tenth of a foot.

This question is not complete because the function given was not correctly written.

Complete question:

If a Super ball is bounced from a height of 20 feet, the function F (x) = 20 (0.9) ˣ gives the height of the ball in feet of each bounce, where x is the bounce number. What will be the height of the 6th bounce? Round your answer to the nearest tenth of a foot.

Answer:

The height of the ball after the sixth bounce to the nearest tenth of a foot = 10.6 feet

Step-by-step explanation:

Function representing the height of a ball in the question

F (x) = 20 (0.9) ˣ

x = number of times which the ball has been bounced In the question, we are given x as 6 times

The height after the 6th bounce is calculated as =

F (x) = 20 (0.9) ˣ

F (x) = 20 (0.9) ⁶

F (6) = 20 * 0.531441

F (6) = 10.62882 feet

Approximately to the nearest tenth = 10.6 feet.

Therefore, the height of the ball after the 6th bounce in feet to the nearest tenth is 10.6 feet.