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
valentina_108 [34]
3 years ago
14

A ball is dropped from a height of 20 feet. It hits the ground and bounces up half as high as it fell. This is true for each suc

cessive bounce. What height does the ball reach on the fourth bounce
Mathematics
1 answer:
Morgarella [4.7K]3 years ago
3 0

Answer:

1.25 m

Step-by-step explanation:

Given that :

Initial height of drop = 20 meters

Rebound after each drop = 1/2 of height

Height after 4th rebound = 5th term of a geometric series

An = a1 * r^(n-1)

a1 = first term = initial drop height

r = common ratio = ratio of rebound per drop = 1/2 = 0.5

A5 = 20 * 0.5^(5 - 1)

A5 = 20 * 0.5^4

A5 = 20 * 0.0625

A5 = 1.25 m

Hence height after 4 reboubd = 1.25 m

Using another method :

1st bounce height = 20 * 0.5 = 10

2nd bounce height = 10 * 0.5 = 5

3rd bounce height = 5 * 0.5 = 2.5

4th bounce height = 2.5 * 0.5 = 1.25

You might be interested in
George walks 1 mile to school. He leaves home at the same time each day, walks at a steady speed of 3 miles per hour, and arrive
alex41 [277]

Answer:

George must run the last half mile at a speed of 6 miles per hour in order to arrive at school just as school begins today

Step-by-step explanation:

Here, we are interested in calculating the number of hours George must walk to arrive at school the normal time he arrives given that his speed is different from what it used to be.

Let’s first start at looking at how many hours he take per day on a normal day, all things being equal.

Mathematically;

time = distance/speed

He walks 1 mile at 3 miles per hour.

Thus, the total amount of time he spend each normal day would be;

time = 1/3 hour or 20 minutes

Now, let’s look at his split journey today. What we know is that by adding the times taken for each side of the journey, he would arrive at the school the normal time he arrives given that he left home at the time he used to.

Let the unknown speed be x miles/hour

Mathematically;

We shall be using the formula for time by dividing the distance by the speed

1/3 = 1/2/(2) + 1/2/x

1/3 = 1/4 + 1/2x

1/2x = 1/3 - 1/4

1/2x = (4-3)/12

1/2x = 1/12

2x = 12

x = 12/2

x = 6 miles per hour

4 0
3 years ago
Are the following ordered pairs solutions to the equation 3x + 4y = 24 ? Select all true
wariber [46]

Answer:

fhdhdjdjsshbdhdhdjdvdhduhd

3 0
3 years ago
Read 2 more answers
Bodmass<br><br>-3[2/6+8{-9/3(8-5*3)-6}]​
Vadim26 [7]

9514 1404 393

Answer:

  -361

Step-by-step explanation:

Your calculator can tell you the result. It is -361.

Start with the inner parentheses and work outward. Do multiplication and division in the order shown, left to right, before addition or subtraction.

  -3[2/6+8{-9/3(8-5*3)-6}]​

  = -3[2/6+8{-9/3(8-15)-6}]​

  = -3[2/6+8{-9/3(-7)-6}]​

  = -3[2/6+8{-3(-7)-6}]​

  = -3[2/6+8{21-6}]​

  = -3[2/6+8{15}]

  = -3[1/3+8{15}]

  = -3[1/3+120]

  = -3[361/3]

  = -361

8 0
3 years ago
How many squares are in this figure in all?
Tanya [424]

Answer:

explanation

Step-by-step explanation:

there

are

22

squares

all

together

6 0
3 years ago
Read 2 more answers
How to write six billion sixty- seven million four hundred four thousand thirteen and nineteen thousandths in standard form?
Neko [114]
Standard for would be 6,670,404,013.19
8 0
3 years ago
Other questions:
  • Tyler is thinking of a number that is divisible by 2 and by 3. Write another number in which Tyler's number must also be divisib
    13·1 answer
  • Determine which postulate or theorem can be used to prove that LMN PMN.
    12·2 answers
  • I need to know the surface area. The formula is Area Of Base + Area of lateral faces
    7·1 answer
  • Mr. Alvarez wants to make a gate that is three feet wide and five feet high. He needs to cut a board to nail across the diagonal
    11·1 answer
  • GuYs i need your help?!?!?! Are these ratios equevalent? 30:5 and 5 to 1 Yes or no!!!!!!!???????
    9·2 answers
  • Find f' f(x)=sqr root(x+9), a=7<br>use the definition lim f(x+h)-f(x)/h
    14·1 answer
  • (2x+1)^2-2(2x^2-1) Simplify
    7·1 answer
  • In a statistics course, a linear regression equation was computed to predict the final-exam score from the score on the first te
    6·1 answer
  • What is the value of G-3=9
    15·2 answers
  • Garcia is modeling the equation 5x
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!