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 successive bounce. What height does the ball reach on the fourth bounce

Answers

Answer 1

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


Related Questions

whats the answer to this plz help​

Answers

Answer:

a1 = 1

an = an-1 * -5

Step-by-step explanation:

I’ve attached my work...
Hope it helps!

What is the circumference of a 18.5ft circle?

Answers

Answer:

The answer is 56.57.

Step-by-step explanation:

Step by step explanation but hope this helps!

Answer:

if 18.5 is the diameter, then 58.12 feet

if 18.5 is the radius, then 116.24 feet

Step-by-step explanation:

18.5 x 3.14 = 58.12 feet

58.12 x 2 = 116.24 feet

Which of the following is used to inscribe a square in a circle?
Copy the chord that runs through the center of the circle.

Construct a perpendicular bisector of the diameter of the circle.

Use the radius length to find four vertices inscribed on the circle.

Construct a right angle using the radius of the circle and a tangent line.​

Answers

3. Use the radius length to find for vertices inscribed on the circle.

The method of constructing the square in a circle that can be used is described below.

What is a cyclic quadrilateral?

If the quadrilateral is inscribed in a circle then the quadrilateral is known as a cyclic quadrilateral. And the sum of opposite angles of the quadrilateral is 180 degrees.

The steps of constructing the square in a circle are as follows:

Copy the chord that runs through the center of the circle.Construct a perpendicular bisector of the diameter of the circle.Join the intersection points of the circle and the two-line segment.

The method of constructing the square in a circle that can be used as described above.

More about the cyclic quadrilateral link is given below.

https://brainly.com/question/15061291

#SPJ6

yall so fr help me out...so i have this one friend who i text and i would litterally text out a paragraph and all she would say is "oOp","I-", "dAnG", or "oOf" keep in mind she would only just say those words. what should i do and dont delete it

Answers

Answer:

OMG MY FRIENDS DO THE SAME EXACT THING

Step-by-step explanation:

But, all I do is be like "girl im gonna sl ap u if u dont say something else other than that"don't actually sl ap her no duh but that's what I do and they usually say something else after that id.k if that will help but it works for me

Elena is making chocolates. She starts by melting a block of chocolate

shaped like a rectangular prism. Then she pours the melted chocolate

into molds shaped like rectangular prisms. How many chocolates can

Elena make with the block of chocolate?

Answers

Answer:

well tell us any measurements or any numbers that follow along with this problem.

PLEASE HELP What is the y intercept of this line?

Answers

Answer:

I'm pretty positive its (0, 0)

The answer has got to be (0,0)

A train has one engine and six train cars. Find the total number of ways an engineer can arrange the train. (The engine must be first.)

Answers

Answer: 720 ways

Step-by-step explanation:

Given

A train has 1 main engine and remaining 6 train cars

If the engine is always in the front the remaining train cars can be arranged is

[tex]\Rightarrow \text{No. of ways}=6!=720\ \text{ways}[/tex]

Answer:

720 ways

Step-by-step explanation:

no of ways=6=720

d = rt ; Solve for t

Answers

Answer:

T stands for time

Step-by-step explanation:

Answer:

[tex]t = \frac{d}{r}[/tex]

Step-by-step explanation:

[tex]d = rt\\\frac{d}{r} = \frac{rt}{r} \\\frac{d}{r} = t\\[/tex]

Bob ate 1/3 loaf of bread over 4 days. He ate the same amount of bread each day. What fraction of the loaf did Bob eat each day?

Answers

honestly I couldn’t tell you

Plz, answer this question plz!
Plz, answer this question plz!
Plz, answer this question plz!
Plz, answer this question plz!
Plz, answer this question plz!

Answers

Actual Answer:

A (I  THINK )

Answer:

There is a hack in forms that forms gives u the answer hold ctrl + u, and scrool to the bottom he read the part with the question and there will be an answer.

Mark as brainliest if im right good luck!!

Answer C

Step by step: i think its c because i have no idea.

Josh and Bradley each bought a carton of milk. Their cartons were the same except that Bradley's carton was taller than Josh's. Each boy drank 1/4 of his milk carton. Did the each drink the same amount of milk? Explain.

Answers

Answer:

No

Because Bradley's carton is taller than Josh's, Bradley would drink more milk.

Let us assume that Bradley carton has 100 quarts . If he drank 1/4, he would drink 25 quarts of milk. If Josh carton is 80 quarts full of milk, he would drink 20 quarts of milk. this example shows that they would not drink the same amount of milk

Step-by-step explanation:

A taller carton would contain more ounces of milk.

Please help me ASAP please do not put a link

Answers

1478 cubic feet

First, calculate volume of the shed, then minus that by the volume of the cubes...

Volume(shed) = 12*12*12 = 1728

Volume(cube) = 2.5*2.5*2.5 = 15.625

1728 - 15.625(16) = 1478 cubic feet

????help me please #6thgrademath

Answers

Answer:

c

Step-by-step explanation:

you divide to see how much she earns per hour

Azmyne decided to spend 6 1/2 hours studying over the weekend. She spent 1 1/4 hours studying on Friday evening and 2 2/3 hours on Saturday. How much longer does she need to spend studying on Sunday in order to reach her goal?

Answers

Answer: [tex]2\ \dfrac{7}{12}\ \text{hours}[/tex]

Step-by-step explanation:

Given

Azmyne decided to study a total of [tex]6\ \frac{1}{2}\ hours[/tex]

She spent [tex]1\ \frac{1}{4}\ hours[/tex] on Friday and  [tex]2\ \frac{2}{3}\ hours[/tex] on Saturday

Hours spent on Friday

[tex]\Rightarrow 1\ \frac{1}{4}=\frac{5}{4}\ hours[/tex]

Hours spent on Saturday

[tex]\Rightarrow 2\ \frac{2}{3}=\frac{8}{3}\ hours[/tex]

She must study for

[tex]\Rightarrow \dfrac{13}{2}-\dfrac{5}{4}-\dfrac{8}{3}\\\\\Rightarrow \dfrac{13\times6-5\times3-8\times4}{12}=\dfrac{78-15-32}{12}\\\\\Rightarrow \dfrac{31}{12}=2\ \frac{7}{12}\ \text{hours}[/tex]

Someone help and plz make sure it’s right

Answers

the answer is b because 80+60=140, -7 and then divide by three you get 11

Answer:

x=11

Step-by-step explanation:

3x+7+60+80=180

3x+147=180

3x=33

x=11

Hope this helps :D

BTW 180 degrees is how many degrees in a triangle

plz help me I only have 5 minutes left winner gets brainliest
Which ancient empire rose to power during the reign of Alexander the Great?



Kush


Carthage


Punt


Mali

Answers

Answer:B Carthage Well if its not then i dont know what to say

pls help question is in picture

Answers

Answer:

30

Step-by-step explanation:

Form an equation

41+x+x+71+90=180

x= -11

Substitute

41+(-11)=30

The inner diameter of a circular well is 3.5 m. It is 10 m deep. Find
(i) its inner curved surface area
(ii) The cost of plastering this curved surface at the rate of Rs. 40 per m².​

Answers

I: 109.96m^2 (lateral surface area)
II: 109.96x40=about 4398.4

Answer:

Refer to the attached file below

Hope it helps...

Have a great day :)

Scientists are studying a bacteria sample. The function f of x equals 256. 1.15 to the x. gives the number of bacteria in the sample at the end of x days. Which statement is the best interpretation of one of the values in this function?

Answers

Answer:

the number of bacteria increases at a rate of 15% each day

Step-by-step explanation:

Given the function :

f(x) = 256(1.15)^x

The function represents an exponential growth function ; comparing the equation with the general form of an exponential growth function :

f(x) = A(1 + r)^t

A = the initial value of the population, = 256

(1 + r),; r = growth rate

Therefore, to solve for r ;

1 + r = 1.15

r = 1.15 - 1 ; r = 0.15

Hence, growth rate = 0.15 = 0.15 * 100% = 15%

Hence, the number of bacteria increases at a rate of 15% each day

Mary had $156.00 and spent 1/6 of it for a coat. She then bought a skirt with 1/4 the money she had left. How much money did she have left after buying her coat and skirt? Group of answer choices

Answers

Answer: $ 97.5

Step-by-step explanation:

156 * 1/6 = 26

156-26=130

130 * 1/4- 32.5

130-32.4= 97.5

Pls help me with this problem

Answers

1.7 x 10^2 you just have to move the thing over

Answer:

1.7 x 10^2

Step-by-step explanation:

Check:

10^2 = 100 x 1.7 = 170

The ^ symbol is the symbol for saying "to the power of"

So, 10 ^2 is saying ten to the power of 2 (10 * 10)

hope this helps!

A castle has to be guarded 24 hours a day. Five knights are ordered to split each day's guard duty equally. How long will each knight spend on guard duty in one day? Record your answer in hours as a decimal.

Answers

Answer: 4.8 hours

Step-by-step explanation:

Given

The castle must be guarded 24 hr by 5 knights

If duty is split equally among them

No of hours spent by each knight on duty

[tex]\Rightarrow n=\dfrac{24}{5}=4.8\ \text{hours}[/tex]

Therefore, each guard must serve a duty of 4.8 hours

I’m so confused help pls

Answers

Step-by-step explanation:

A: n(n+1) = 72

B

n^2 + n = 72

n^2 + n -72 =0

(n+9)(n-8) = 0

A force of 20,000 N is exerted for 5.00 s, on a 75,000 kg mass. What is the impulse of the force for this 5.00 s ?

Answers

Answer:

Check pdf

Step-by-step explanation:

The impulse of the given force is required.

The impulse of the force which is being exerted on an object of 75000 kg is 100000 Ns.

Impulse

F = Force exerted on a body = 20000 N

t = Time the force was exerted for = 5.00 s

When finding the impulse of a force the mass of the object the force is being applied to does not matter. The only thing that can affect the force is if another force is being applied by the object which here is not doing so.

Impulse is given by

[tex]J=Ft\\\Rightarrow J=20000\times 5.00\\\Rightarrow J=100000\ \text{Ns}[/tex]

Learn more about impulse:

https://brainly.com/question/25700778

The base of a 14-foot ladder is 2 feet from a building. If the ladder reaches the flat roof , how tall is the building

Answers

the building is around 14.14 feet tall

a^2 + b^2 = c^2
14^2 + 2^2 = 200
squareroot 200 is abt 14.14

Answer:

Step-by-step explanation:

The height of the building is 8 rad 3

Approximately 13.9 ft

what's the value of x ?
[tex] {x}^{2} = 36[/tex]

Answers

Answer:

[tex]x = \sqrt{36} = 6[/tex]

Hope it helps

Have a good day Ahead

danielle did not complete 15 of her 200 assignments last year. Kim said that is 0.075 of her assignments and Kelly said it is 0.75 of her assignments. Who is correct and how do you know?

Answers

Answer:

Kim

is correct

Step-by-step explanation:

Here, we want to know who is correct between Kim and Danielle

From the question, what is not completed is 15 out of 200

To find what is not completed, we divide 15 by 200

Thus, we have;

15/200 = 0.075

This mean Kim is correct

I need help with these two questions

Answers

Answer:

The first one: 19/15a

second one: b²-4ac = D

Step-by-step explanation:

for first one: take LCM and solve

for second one: you square the expression on both sides then b²= D + 4ac, then when you take 4ac to the left hand side, it becomes b²-4ac= D

Consider the following figure.

Answers

Answer:

BD = 16

Step-by-step explanation:

By applying mean proportional theorem in the given right triangles,

[tex]\frac{AD}{BD}=\frac{BD}{CD}[/tex]

AD × CD = BD²

8 × 32 = BD²

BD = √256

BD = 16

Therefore, measure of side BD = 16 units.

Work out the length x.
17 cm
9 cm

Answers

Answer:

14.4222051019 or 14.42

Step-by-step explanation:

a^2 + b^2 = c^2

x^2 + 9^2 = 17^2

x^2 + 81 = 289

x^2 = 289 - 81

x^2 = 208

x = 14.4222051019 or 14.42

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