A bouncing ball reaches a height of 27 feet at its first peak, 18 feet at its second peak, and 12 feet at its third peak. Describe how a sequence can be ... at its second peak, and 12 feet at its third peak. Describe how a sequence can be used to determine the height of the ball when it reaches its fourth peak. 2.

Answers

Answer 1

Answer:

concrete jungles where dreams are made of

Step-by-step explanation:

Answer 2

Answer:

There is a common ratio of 2/3 between the height of the ball at each bounce. So, the bounce heights form a geometric sequence: 27, 18, 12. Two-thirds of 12 is 8, so on the fourth bounce, the ball will reach a height of 8 feet.

Step-by-step explanation:

Sample response :)


Related Questions

solve for w. need help pls

Answers

Answer:

w = -8

Step-by-step explanation:

19 = -9w - 5 + 6w

19 = -3w - 5

19 + 5 = -3w

24 = - 3w

w = -8

Answer: W=-8
................

Which one is correct?

Answers

Answer:

A

Step-by-step explanation:

I think it’s A
Tell me if I’m wrong

What is 2/5 of a book to 1/2 of an hour as a unit rate?

Answers

Answer: 4/5 book per hour

Step-by-step explanation:                                                                        in this question, we are to rewrite (2/5)/(1/2) as unit rate.

To write this as a unit rate, what we need to do  is to divide 2/5 by 1/2.

That means 2/5 divided by 1/2

Removing the division and replacing with multiplication will give 2/5 * 2/1 = 4/5 books/hour

After a parade, a group of volunteers is helping to pick up the trash along a 2-mile stretch of a road. The group decides to divide the length of the road so that each volunteer is responsible for cleaning up equal-length sections. Find the length of a road section for each volunteer if there are 8 volunteers

Answers

Answer: 0.25 miles

Step-by-step explanation:

When solving a word question, look for certain words that tell you what you should be solving for, and how to solve it.

In this problem, the group DIVIDES the length of the road EQUALLY, which tells you that in order to solve the problem, you must divide the length of the road by the number of volunteers.

The road is 2 miles long, and there are 8 volunteers, so

8/2 = 0.25

Thus, each person must clean 0.25 miles of road.

Using proportions, it is found that the length of road section for each volunteer will be of 0.25 miles.

-----------------------

This question is solved by proportions, using a rule of three to find the length of the road assigned to each volunteer, as each volunteers will be assigned an equal length of the road.In total, the length of the road is of 2 miles. Thus, 8 volunteers are responsible for 2 miles. For how many miles will a single volunteer be responsible?

-----------------------

The rule of three is given by:

8 volunteers - 2 miles.

1 volunteer - x miles

Applying cross multiplication:

[tex]8x = 2[/tex]

[tex]x = \frac{2}{8}[/tex]

[tex]x = \frac{1}{4}[/tex]

[tex]x = 0.25[/tex]

The length of road section for each volunteer will be of 0.25 miles.

A similar problem is given at https://brainly.com/question/14136767

Every day, you buy your lunch for $4 at school. How much money will you spend if you buy your lunch from Monday through Friday for three weeks?

Answers

Answer: 60

Step-by-step explanation: If you buy your lunch every day for 1 week, that would be 20 dollars spent. If you spend 20 dollars in 1 week, then 3 weeks would be 60.

Let me know if I'm right!

If you buy lunch everyday at school for $4 thats $20 a week, and $60 in 3 weeks.

The answer to this question is $60.

$4 x 5 = $20

$20 x 3 = $60

7
When you raise a number to the
second power or a power of 2, you
could say that you
the

number

Answers

Answer:

is multiplied by itself.

Step-by-step explanation:

2 to the second power is four, and so is 2 times 2.

7 to the second power is 49, and so is 7 times 7.

They are the same thing.

Hope this helps!

The number multiplied by itself

For example 7 to the 2nd power would be the equation
7 x 7 = 49

and 7 to the 3rd power would be
7 x 7 x 7 = 343

you have $40 to spend on n gallons of gas that costs $3.25 per gallon. ​

Answers

Answer:

You can buy 12 gallons of gas.

Step-by-step explanation:

I took 40 and 3.25, then divided them.

I got a very large ugly decimal. When simplified it is 12.

The graph shows the relationship between the number of hours that Michelle has been driving and the distance that she has left to travel to get to her destination.

A graph on a coordinate plane titled Distance Remaining Over Time. The x-axis is labeled time (in hours), numbered 1 to 8, and the y-axis is labeled miles to destination, numbered 50 to 400. A straight line with a negative slope starts at point (0, 350) and ends at point (7, 0).

Which statement is true?

Answers

Answer:

B- For each hour that Michelle drove, she traveled an additional 50 miles.

Step-by-step explanation:

The statement that is true is For each hour that Michelle drove, she traveled an additional 50 miles.

What is a graph?

The graph shows the relationship between a distance and the time .

With the graph interpretation, it display the relationship between the  number of hours that Michelle is driving as well as the distance, and it can be deduced that it started at  0 hours, and distance of 350 miles

Hence, option B is correct because  Michelle drove, an additional 50 miles since at zero y-coordinate was  no more distance to cover.

Check the graph at the attachment.

Learn more about graph at:

https://brainly.com/question/4025726

#SPJ9

Mike and Kate plan to save money for their wedding over a 20 month period. They will need to save $8,000 to help pay for the wedding. They set aside the same amount each month. After a year they saved $4,000. Mike and Kate know they must adjust their plan in order to meet their goal, so they came up with the following options:
Option A: Stay with saving the same amount they've been saving each month but postpone the wedding 2 months.
Option B: Increase the amount of money they save each month by $80 from what they've been saving.
Which of the following is a true statement?

Answers

Answer:

The Answer is Actually D. I just took the Test and got it Correct! have a Great Day.!!

Step-by-step explanation:

The true statement is that both plans will not amount to $8000 in the end

The target savings is given as:

[tex]Target = \$8000[/tex]

The amount saved after a year is given as:

[tex]Savings = \$4000[/tex]

Start by calculating the amount saved each month (by dividing the saved amount by 12)

[tex]Monthly = \frac{\$4000}{12}[/tex]

For option (A): To increase the wedding by 2 months.

This means that the duration of savings would be 22 months.

So, the estimated savings would be

[tex]Estimate= \frac{\$4000}{12} \times 22[/tex]

[tex]Estimate= \$7333[/tex]

For option (B): Increase savings by $80.

This means that they have 8 months to complete their savings

The estimated savings would be

[tex]Estimate= \$4000 + (\$80 + \frac{\$4000}{12}) \times 8[/tex]

[tex]Estimate= \$7307[/tex]

For both plans, the estimated savings are short of the target savings of $8000.

Hence, none of the plans would amount to $8000 in the end

Read more about estimates and predictions at:

https://brainly.com/question/13821227

Determine an interest rate less than 15%, a period of investment greater than two years, and a regular payment that will result in the total amount of interest you earn being equal to the total amount of money you put in?for example, under what conditions will you have a future value of $1 000 000, having earned $500 000 interest?)

Answers

Answer:

  It will take 5.29 years to double our money if we invest $500 at 14 percent interest.                                    

Step-by-step explanation:

Let we invest $500 with the interest rate of  14% ,

Now we will find the time it is going to take to double the money

here, we use the formula of compound interest [tex]A= P( 1+\frac{r}{n}) ^{nt}[/tex]

Here, A = the amount yielded,

P = principal,

r = interest rate ,

n = number of times per year,

and t =  time invested.

Now, put A= 1000 , P= 500 , R= 0.14   T= x and N= 1

      [tex]1000=500(1+ 0.14)^x[/tex]      

      [tex]1000=500(1.14)^x[/tex]

       [tex]2=1.14^x[/tex]

     [tex]\log_{1.14} (2)=x[/tex]

      [tex]x=5.29[/tex]

so ,  It will take 5.29 years to double our money if we invest $500 at 14 percent interest.    

Hence , the answer is 5.29 years .                  

Find the missing number 390x__=390,000
Answers
A 10^2
B 10^3
C 10^4
D 10^5

Answers

Answer:

B. 10 to the third power

The required missing number in 390 x __ = 390,000 is 10³. option B is correct.

The missing number in the calculation 390x__=390,000 is to be determined.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Let the missing number be x,
Now the given expression becomes,

390 * x =390,000
x = 390,000 / 390
x = 1000
x = 10³

Thus, the required missing number in 390x__=390,000 is 10³. option B is correct.

Learn more about simplification here: https://brainly.com/question/12501526

#SPJ2


15 POINTS!
What is the correct answer for Dean's problem? Explain where he went wrong.

Answers

Answer:

The slope is 5/-2.

Step-by-step explanation:

Slope is y1-y2 over m1-m2 (rise over run). The first ordered pair is -2 (m1) and 11 (y1). We then subtract the second ordered pair (4 (m2) and -4 (y2)) from the first.

11 - (-4) = 11 + 4 = 15

-2 - 4 = -6

Remember, slope is rise over run (y over x), so the slope is 15/-6. Now, we must simplify. 15/-6 = 5/-2

Dean went wrong because he thought that slope was run over rise (x over y). If he had switched the two numbers, his answer would have been correct.

Could anyone please help me with this for Calculus AB? I'm not entirely sure if the answer I put down is correct or not; I got some funky graphs for it though.

Answers

Hi there! :)

C. has both jump and infinite discontinuity.

Evaluate both piecewise functions at x = 1;

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

2x - 1 = 2(1) - 1 = 1

As the piecewise functions contain different y-values when evaluated at

x = 1,  there is a jump discontinuity at x = 1.

However, the first function also contains a vertical asymptote or infinite discontinuity where it is undefined, or at x = -1. (1 / 0 = undefined). This means that the function also contains an infinite discontinuity.

Therefore, the correct choice is:

C. has both jump and infinite discontinuity.

Fernando purchased 1 pound of dried cranberries and 4 pounds of almonds to make a trail mix. Cranberries cost $4 per pound and almonds cost $5 per pound. What is the price per pound of the trail mix?

Answers

Answer:

$4.80 per lb of trail mix

Step-by-step explanation:

Cranberries- 1lb-$4

Almonds- 4lbs-$20

4+20=24

4+1=5

24/5=4.80

Sue is offered a job reshelving books in the University of Montana library from noon until 1 p.M. Each Friday. Her reservation wage for this task is $10 per hour. If the library director offers Sue $100 per hour, how much economic surplus will she enjoy as a result of accepting the job? Now suppose the library director announces that the earnings from the job will be divided equally among the 400 students who live in Sue's dormitory. Will Sue still accept? Explain how your answers to parts a and b illustrate one of the incentive problems inherent in income redistribution programs.

Answers

Answer:

Step-by-step explanation:

Sue's initial wage per hour = $10

Sue's wage per hour after the increase = $100

a. Economic surplus to be enjoyed = $100 - $10

                                                      = $90

Sue would enjoy an economic surplus of $90.

b. No, because in this case the wage per hour for each 400 student would be;

                                          =  [tex]\frac{100}{400}[/tex]

                                          = $0.25

                                          = 25 cents

Redistribution of income is the act of equal sharing of wealth among a certain number of people.

The problem here is that Sue would feel cheated with the division of the earnings among 400 students, but very happy when her wages was increased.

Though the income incentive redistribution programs reduce poverty, but it may be unfair.

Can someone help me?

Answers

Answer:

Step-by-step explanation:

Yeah.I would be glad to.

What do you need help with?

if ribbon candy costs 2.50 per foot. How many feet can you buy if u have 11.25

Answers

You can buy 4 feet and one half of ribbon candy.

10x + 12 = [2+3(2x-4)+1]
Solve for x

Answers

Answer:

-21/4

Step-by-step explanation:

whas does 16g+3<-17+15g equal ​

Answers

Answer:

g∠-20

Step-by-step explanation:

The temperature on Monday was 78.8°C. The temperature on Tuesday was 6.6°C less than the temperature on Monday. What was the temperature on Tuesday? -

Answers

Answer:

72.2

Step-by-step explanation:

Monday: 78.8

Tuesday: 78.8 - 6.6 = 72.2

a polynomial function with leading term 8x ^9 has a degree of what?

Answers

Answer:

9

Step-by-step explanation:

hi! if the leading term is 8x^9, this means that this is the term with the highest power. therefore, its degree is 9.

The degree of the given polynomial is 9

What is a polynomial expression?

Polynomial is made up of two terms, namely Poly (meaning “many”) and Nominal (meaning “terms.”). A polynomial is an expression composed of variables, constants, and exponents, combined using mathematical operations such as addition, subtraction, multiplication, and division (No division operation by a variable). Based on the number of terms present in the expression, it is classified as monomial, binomial, and trinomial. For example P(x) = x2-5x+11

Given here; a polynomial function with leading term 8x⁹

Now The Degree of a Polynomial is the largest of the degrees of the individual terms. The degree of an individual term of a polynomial is the exponent of its variable and the highest degree of the terms given in the expression is the degree. And thus the expression with leading  term 8x⁹ is 9

Hence, The degree of the given polynomial is 9

Learn more about polynomial expressions here:

https://brainly.com/question/11536910

#SPJ2

A=1/2bh for h

Need help

Answers

Answer:

2A/b = h

Step-by-step explanation:

A=1/2bh

Multiply each side by 2

2A = 2 * 1/2 bh

2A = bh

Divide each side by b

2A/b = bh/b

2A/b = h

The following table shows how far a runner has gone in t minutes. Which of the following equations represents this information?
A. t = 350d

B. t = 300d + 100

C. d = 350t

D. d = 300t + 100 Minutes (t) Meters (d)
2 700
3 1,050
5 1,750
10 3,500

Answers

Answer:

d = 350t

Step-by-step explanation:

From the information given, we need to get the rate of change of distance which is the velocity (slope.)

velocity = Δd/Δt

v = d2-d1/t2-t1

from the table;

when t = 2, d = 700

when t  = 3, d = 1050

v = 1050/750/3-2

v = 350/1

v = 350

Since v = d/t

350 = d/t

cross multiply

350t = d

Rearrange:

d = 350t

Hence the equation that represents the information is d = 350t

Answer:

D

Step-by-step explanation:

What is the quotient of 3/4 1/6?

Answers

Answer: 9/2

......................

Mr. Santos wanted to know the height of the tree. He observed from a point A that the angle of elevation of the top of the tree is 36 degrees. He then moved backwards 50 ft away from the initial point A, the angle of elevation of the top of the tree was 22 degrees. Find the height of the tree.

Answers

Answer:

The height of the tree is approximately 45.51 ft.

Step-by-step explanation:

The given information are;

The angle of elevation of the top of tree is 36 degrees

The distance backwards Mr. Santos moved = 50 ft.

The new angle of elevation of the top of the tree = 22 degrees

Therefore, we have;

The angle opposite to the 50 ft. side = 180 - (180 - 36) - 22° = 14°

Therefore, we have, by sine rule;

50/(sin(14)) = X/(sin(22))

X = (sin(22)) × 50/(sin(14)) ≈ 77.42 ft.

The height of the tree, T =  X × sin(36°)

T = 77.42 ft. × sin(36°)  ≈ 45.51 ft.

The height of the tree is approximately 45.51 ft

*NOTE YOU WIN 37POINT FOR ANSWERING** Clare mixes 2 1/2 cups of water with 1/3 cup of orange juice concentrate Han mixes 1 2/3 water with 1/4 a cup of orange juice concentrate which one tastes stronger?

Answers

Hans is going to taste stronger

Write an equation for the line that passes through (10, 17) and (20, 37)

Answers

y=2x-3 is the equation for the line that goes through (10,17) and (20,37)

Can y’all help I don’t know how to do these

Answers

Answer:

The measure of angle 6 is 62 degrees.

The measure of angle 3 is 64 degrees.

The measure of angle 8 is 54 degrees.

The measure of angle 4 is 64 degrees.

The measure of angle 12 is 32 degrees.

Step-by-step explanation:

1. The length of a
rectangle is three inches more than its width. It's area is 130 in^2. Find the width and length of the triangle.​

Answers

Answer:

Length= 13in

Width= 10 in

Step-by-step explanation:

Let x=length

Let y=width

x=3+y

xy=130in^2

(3+y)y=130in^2

3y+y^2=130in^2

y^2+3y-130=0

y=10

x=3+10

x=13

a clay model of a new car is 7 in. long if the car is 21 ft long how could you find the scale used to make the model

Answers

Answer:

The scale model = 1 :36 or 1 to 26

Step-by-step explanation:

A clay model of a new car is 7 in. long if the car is 21 ft long

Note that:

1 foot = 12 inches

21 foot =

Cross Multiply

21 foot × 12 inches

= 252 inches

Therefore, the scale =

7 inches : 252 inches

1 : 36

Other Questions
What type of letter should be used to apply for a job?A. an informal letterB. a business letterC. a letter of applicationD. a formal letter Describe two substances that are useful because of their viscosity I would really appreciate some help What does an analogy do? ASAPATP is not involved with genetic information, it is an energy molecule. Why would we discuss it here with Nucleic acids? Which describes a difference between Robert Boyle and Isaac Newton? Which applicants would be best qualified for the jobs based on educational level?O Applicant 2 is qualified to be a Radiologist, applicant 1 is qualified to be an Orderly, and applicants 2, 3, and 4are qualified to be Biomedical Engineers.O Applicant 3 is qualified to be a Radiologist, applicant 2 is qualified to be an Orderly and applicants 1 and 4 arequalified to be Biomedical EngineersO Applicant 1 is qualified to be a Radiologist, applicant 4 is qualified to be an Orderly, and applicants 2 and 3 arequalified to be Biomedical Engineers.O Applicant 4 is qualified to be a Radiologist, applicant 3 is qualified to be an Orderly, and applicants 1, 2, andare qualified to be Biomedical Engineers (I think this is going to be a dumb question but, yeah. Here ya go)Are the needs of the whole nation more important than the needs of each state?((There are only four people that I have to answer so yeah)) Why is gatsby considered superficial ? do woody stems die off each winter and grow back the next spring SIMPLIFY THIS EXPRESSION:5(7 + 3x) - 12 why is it important to have a vast knowledge of vocabulary when creating art/photography AWhich is an example of situational irony in Wherefore Art Thou Romeo?"Shondra is trying to help, but she ends up making it harder for the narrator to understand her lines.o The reader knows that the narrator wal forget her lines during the reading, but the narrator does not know.O Alison greets the narrator in a friendly manner even though the two do not like one another.The narrator succeeds by focusing on Alison, the person she thought would ruin her performance.Save and Exit Which best explains the message the Monroe Doctrine sent to other nations?that the United States was powerful enough to stop new colonization in the Americasthat the United States was afraid of each nation that sought to colonize the Americasthat the United States wanted to take over other nations in Europe and in the Americasthat the United States feared the power of European nations and would allow them to colonize the Americas According to Dr. Green, what factors impact voters' opinions of candidates during and after debates? Protons have ___charge; they have equal amounts of positive and negative ____charges? !!!URGENT!!!In order to ride a roller coaster, a person must be at a minimum height of 54 inches. The maximum height is 74 inches. Write an absolute value equation that represents the minimum and maximum heights.The photo attached shows the possible answers. Is the sequence below arithmetic orgeometric? Solve for the Q18.{4, 11,18, 25,... } There is the picture PLZ HELPP I WILL MAKE U BRAINLIEST In the 1800s, the United States was still a very young nation, trying to solidify its identity. The Industrial Revolution began in Great Britain, a fast development of society following the introduction of machines. The United States was slower than Great Britain to fully embrace the changes. Yet key technological developments caused a rapid growth in American urban areas.Better farming methods and tools in the 1800s increased food production. Americans were able to grow enough food for their families as well as to sell. The abundance caused food prices to fall.The expansion of cotton and the growth of textile factories in northern states helped produce the first wave of American industry. More people turned to work in northern factories as a way to support their families. Thousands of immigrants to the United States also settled in or near port cities, looking for work. Even today, the need for work is a common reason people move to urban areas.As a result, cities grew in numbers of people and physical space. As more people and businesses moved in, they needed buildings for living and working. They needed ways to move around the city. We call this process urbanization.In 1820, the United States had only a few cities of 10,000 residents or more. About seven percent of U.S. residents lived in urban areas. The number of cities with more than 10,000 people grew quickly over the next 40 years, especially in the Northeast and Midwest. By 1860, about 20 percent lived in cities. Philadelphia and New York City were the most populated cities in 1860 and would soon reach one million residents.The urbanization of the United States quickened due to technology improvements. Without innovations in food production, the factories could not have grown so quickly. The trend quickened after 1860 and continued throughout the 21st century as well. By 2007, more Americans lived in or near cities than they did in rural areas.Select a sentence from the body of this article that can be removed without affecting the author's explanation. Place the sentence in quotes and explain why it is an unnecessary detail.