1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
iren [92.7K]
3 years ago
15

6. A super-bouncy-ball is thrown 25m into the air. The ball falls, rebounds to 70% of the height of the previous bounce and fall

s again. If the ball continues to rebound and fall in this manner, find the total distance the ball has travelled after it hits the ground the 5th time. This may be answered in decimal form. Round your answer to 2 decimal places.
Mathematics
1 answer:
inn [45]3 years ago
8 0

Answer:

The total distance the ball has travelled after it hits the ground the 5th time is of 48.53m.

Step-by-step explanation:

Geometric sequence:

In a geometric sequence, the quotient of consecutive terms is the same. The nth term of a geometric sequence is given by:

a_n = a_1q^{n-1}

In which a_1 is the first term and q is the common ratio.

A super-bouncy-ball is thrown 25m into the air. The ball falls, rebounds to 70% of the height of the previous bounce and falls again.

This means that:

q = 0.7, a_1 = 25*0.7 = 17.5

Then

a_n = a_1q^{n-1}

a_n = 17.5(0.7)^{n-1}

First 5 terms:

a_1 = 17.5

a_2 = 17.5(0.7)^{2-1} = 12.25

a_3 = 17.5(0.7)^{3-1} = 8.58

a_4 = 17.5(0.7)^{4-1} = 6

a_5 = 17.5(0.7)^{5-1} = 4.2

Find the total distance the ball has travelled after it hits the ground the 5th time.

T = 17.5 + 12.25 + 8.58 + 6 + 4.2 = 48.53

The total distance the ball has travelled after it hits the ground the 5th time is of 48.53m.

You might be interested in
What is the definition of mathematics?
Andrew [12]
<span>the abstract science of number, quantity, and space.

</span>
4 0
3 years ago
Read 2 more answers
What is the measure of the angle in the Southwest corner of the intersection of broadway and 22nd street
Svetllana [295]

Answer:

  105°

Step-by-step explanation:

Maps are usually oriented so that North is up. That means the southwest corner is below and to the left of the intersecting lines. Since numbered streets are usually parallel, we're to assume that W 22nd street is parallel to W 20th street. That makes Broadway a transversal of parallel lines, and it makes the angle of interest a corresponding angle to the one whose measure is shown.

In this (assumed) geometry, corresponding angles are congruent, so the angle of interest has measure 105°.

7 0
3 years ago
4 times[9-6 divided by three
djyliett [7]

Answer:

28

Step-by-step explanation:

9-6/3=9-2=7

4*7=28

5 0
3 years ago
A technician charges P 400 per hour and spends P 500 a day on gasoline. Write an alcat expression to represent his earnings for
Basile [38]

Answer:

y=400*x-500

Step-by-step explanation:

The expression that represents the problem is:

y=400*x-500

Function y represents earnings for one day.

400 is the fixed number that is charge for one hour work

x represents the number of hours that the technician has worked for one day

To find the total earnings you should multiply the fixed charge for one hour work (400) by the number of hours worked in a day.

Then you need to substract the cost of gasoline in a day, it is 500 and it is a constant in the equation since it doesn't depend on the number of hours worked.

So, the function is:

y=400*x-500

4 0
2 years ago
At Walmart, Marcy spends $52.75. There is a 6% sales tax on all purchases. Today, there is a markdown of 16% on all items. How m
murzikaleks [220]
£310.17 would be your answer.
5 0
3 years ago
Other questions:
  • Which economic system is friendliest to entrepreneurs?
    14·1 answer
  • List the fractors of 35 is this number prime or composite
    7·2 answers
  • Find the average range. Round the mean and the average range to the nearest tenth. (Show all your work on scratch paper, then en
    9·1 answer
  • How many decibels is this? show work​
    8·1 answer
  • A school attendance clerk wants to determine if there is a relationship between the number of times a student arrives to school
    6·1 answer
  • There are between 24 and 40 students in a class,
    11·2 answers
  • Simplify 455 degrees
    8·1 answer
  • I need help please i’ll give a brainliest to the person who has the correct answer
    13·1 answer
  • Find the 16th term in the geometric series where the first term is 6 and the<br> common ratio is 2.
    11·1 answer
  • How do you find the rule of a cartesian plane line using the table of values with the coordinates on it?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!