Using a geometric sequence, it is found that:
- The rule for the height of the nth bounce is:

- The height of the fifth bounce is of 9.28 cm.
In a <em>geometric sequence</em>, the quotient between consecutive terms is always the same, called common ratio q.
The nth term of a geometric sequence is given by:

In which
is the first term.
In this problem:
- Bounces to 65% of the height from which it was dropped, thus the common ratio is of
. - Dropped from 80 cm, thus, the height of the first bounce is
.
Thus, the rule for the height of the nth bounce is:

The height of the fifth bounce is
, thus:

The height of the fifth bounce is of 9.28 cm.
A similar problem is given at brainly.com/question/11847927
Slope of a Line Passing through two points (x₁ , y₁) and (x₂ , y₂) is given by :

Given Points are (-3 , 5) and (6 , -1)
here x₁ = -3 and x₂ = 6 and y₁ = 5 and y₂ = -1

Option D is the Answer
Answer:
60 degrees
Step-by-step explanation:
1+<2=180
<1+120=180
<1=180-120
<1=60
Answer:
I took them a total of 5 hours
Step-by-step explanation:
First you multiply 65 by 2 because of the first two hours
Then you subtract 130 out of 364 to get 234, those were the first two hours
The next hours you simply divide 234/78, which is 3
3 + 2 = 5 hours