Answer:
1
Step-by-step explanation:
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
Amy's average speed during her whole journey from London to Newcastle (300 miles) was 51.422 miles per hour.
<h3>How to calculate the average speed?</h3>
This is calculated by taking the total distance and dividing it into the total time.
<h3>What was Amy's average speed?</h3>
First part of ther journey: 165 miles at 60mph, which is equal to 2.75 hours
- Time: distance/speed
- Time: 165 miles/ 60 mph= 2.75 hours
Second part of her journey: 135 miles in 3.083 hours (3 hours and 5 minutes)
- Total distance: 300 miles
- Total time: 2.75 hours + 3.084 = 5.834
Average speed: 300 miles / 5.834 = 51.422 miles per hour
Learn more about average speed in: brainly.com/question/12322912
When a line changes position from one point to another, the movement is referred to as transition.
<em>Bobby does not have enough information to make a valid conclusion.</em>
The movements of the lines are given as:
<em>Line 1: 3 units up and 8 units right</em>
<em>Line 2: 8 units down and 3 units right</em>
The given information only describes the movement of both lines, but does not give details about the initial relationship between the lines.
<em>Hence, no valid conclusion can be made with the given information.</em>
Read more about lines at:
brainly.com/question/5830373
Answer:
The answer is 2.625
Step-by-step explanation:
3.5×2.5=8.75
8.75×0.3=2.625