Aball is dropped from a certain height. the function below represents the height f(n), in feet, to which the ball bounces at the nth bounce:

f(n) = 9(0.7)n

what does the number 0.7 represent?

As per the statement:

A ball is dropped from a certain height.

The function is given as:

where,

f(n) represents the height in feet

n represents the number of times the ball bounces.

for n = 0

f(0) = 9

Initial height = 9

for n = 1

For n = 2

and so on...

Since;

⇒

In general:

or

therefore, 0.7 represents the ball bounces to 70% of its previous height with each bounce.

1. 16.64

a^2+b^2=c^2

pr^2=pq^2+qr^2

pr^2=14^2+ 9^2

pr^2=196+81

pr= sqr root of 277

16.64

2. 11.31

c^2-a^2=b^2

18^2- 14^2=b^2

b^2=324-196

b=sqr root of 126

b=11.31

hope it ! (btw im in connections academy to, good luck! )