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
rewona [7]
3 years ago
9

A ping pong ball is released from a height of 60 centimeters (cm) and bounces to a height that is 3/4 the previous height. What

function estimates the height, H, in cm of the ping pong ball after x bounces?
Enter a number in each blank to correctly complete the function.

H = BLANK(BLANK)^x
Mathematics
1 answer:
Oduvanchick [21]3 years ago
8 0

Answer:

H = 60(3/4)^x

Step-by-step explanation:

After each bounce, the height it reach is 3/4 the previous one.

Let the height of nth bounce be denoted as h_n and the first bounce is h_1.

We are given that h_1 = 60 cm. Following the rule in the problem, we get:

h_2 = (3/4)h_1 = (3/4)60

h_3 = (3/4)h_2 = (3/4)*(3/4)60 = 60(3/4)^2

h_4 = (3/4)h_3 = (3/4)*60(3/4)^2= 60(3/4)^3

We see that h_n = 60(3/4)^n is the formula for the height for the nth bounce. Therefore, H = 60(3/4)^x is the answer.

I hope this helps! :)

You might be interested in
John cuts 3 lawns in 5 hours, and Taylor cuts 5 lawns in 8 hours. Who cuts lawns at a faster rate?
faust18 [17]
Taylor cuts lawns at a faster rate
4 0
3 years ago
A chemist examines 15 geological samples for potassium chloride concentration. The mean potassium chloride concentration for the
NikAS [45]

Answer:

0.376-2.145\frac{0.0012}{\sqrt{15}}=0.375    

0.376+2.145\frac{0.0012}{\sqrt{15}}=0.377    

And we are 95% confident that the true mean of chloride concentration is between 0.375 and 0.377 cc/ cubic meter

Step-by-step explanation:

Data provided

\bar X=0.376 represent the sample mean for the chloride concentration

\mu population mean (variable of interest)

s=0.0012 represent the sample standard deviation

n=15 represent the sample size  

Confidence interval

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

Since we need to find the critical value first we need to begin finding the degreed of freedom

df=n-1=15-1=14

The Confidence is 0.95 or 95%, the significance would be \alpha=0.05 and \alpha/2 =0.025, and the critical value for this case with a t distribution with 14 degrees of freedom is t_{\alpha/2}=2.145

And the confidence interval is:

0.376-2.145\frac{0.0012}{\sqrt{15}}=0.375    

0.376+2.145\frac{0.0012}{\sqrt{15}}=0.377    

And we are 95% confident that the true mean of chloride concentration is between 0.375 and 0.377 cc/ cubic meter

7 0
3 years ago
I need help im not understanding how to do this
galina1969 [7]

Answer:

(c, b)

Step-by-step explanation:

Add the coordinates together and divide by 2

x coordinates: 2c + 0 = 2c, divided by 2 = c

y coordinates: 0 + 2b = 2b, divided by 2 = b

3 0
2 years ago
Read 2 more answers
The length of a rectangle is one inch less than three times its width. If the perimeter of the rectangle is 118 inches, find the
IgorLugansk [536]
We can set up the width a X and, from the description the length would be 3X-1. The perimeter of a rectangle is determined by 2XL + 2Xw. Plugging into the equation 2(3X-1) + 2(X) = 118. Next distribute to get 6X-2 + 2X = 118. Combine like terms to get 8X = 120. Divide by 8 to get X = 15. The width is 15. The length is 3(15)-1 or 44. 88 +30 = 118
6 0
3 years ago
Please help! Picture is listed
ss7ja [257]
AD is parallel to BC
5 0
3 years ago
Read 2 more answers
Other questions:
  • 1.2 divided by .3 in the model
    14·2 answers
  • Start at 1000 create a pattern that subtracts 8 from each number. Stop when you have 5 numbers
    8·1 answer
  • Two-thirds of a number is negative six. Find the number. a) -9 b) -8 c) -4
    9·1 answer
  • NEED ASAP I WILL GIVE BRAINLEYEST What is the value of the expression 22 + 82 ÷ 22? 8 10 17 20
    9·1 answer
  • Mikhael and Hema want o hire a professional Dj to play music during the event. Dj Kay Cee charges $100 plus $50, per hour.Dj Fre
    12·1 answer
  • Which of expressions illustrates the associative property?
    9·1 answer
  • Hii this is geometry please help!!
    15·1 answer
  • Solve the following equation simultaneously 2a-3b+10=0, 10a+6b=8​
    11·1 answer
  • Mir. White has a beach lot that is 60 feet wide.<br> What is the width of his lot in yards?
    15·1 answer
  • Find the missing side length of the right triangle. show work.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!