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Verizon [17]
3 years ago
11

A ball is dropped from a height of 10m after each bounce it rises to 3/5 its original height. How many bounces until the height

reached is less than 1 metre?
Mathematics
1 answer:
valina [46]3 years ago
5 0

Answer:

Hey, I hope this helps. Just remember, I'm a math genius, okay. There is some math subjects I don't understand, and there are some that I do. Anywho, Here is the answer:

You will have 4 bounces until it rests. The fourth bounce is less than 1 metre.

Height after 4th bounce=  4*0.6^{3}

                                       =0.864                                                    

                                         4*0.6

Step-by-step explanation:

Here is how to solve it:

1st bounce= a_{1}

                     4m

2nd bounce= a_{2}

                      4*0.6

                          =2.4m

3rd bounce= a_{3}

                     4*0.6^{2}

                      = 1.44m

4th bounce= a_{n}

                  4*0.6^{n-1}

I don't know if this is what you are looking for or if this is completely correct, but I hope this helps. I tryied my very best to help you.

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Point X has coordinates (-4, -5) and point y has coordinates (--1, --5 ) which expression models the distance between points X a
sdas [7]

Answer:  The last expression shows the result of 3  so it models the distance between x and y.

Step-by-step explanation:

First you will have to  find the distance between the two points by square the x coordinates and squaring the y coordinates to find their sum .  

-4 - (-1) = -3

-5 - ( -5) = 0

-3^2 + 0^2 = d^2   where d  is the distance

9  = d^2

d= 3  

The distance is 3 units  

Now evaluate which expression have a solution as 3.

The last expression is the answer

the absolute value for -4 is 4   , and the absolute value for -1 is 1  and 4 minus 1 is 3.

4 0
3 years ago
Tyler runs 8 2/3 miles in 4/3 of an hour. How long does it take each of them to run 10 miles?
adelina 88 [10]

Answer:

It takes Tyler 65 minutes to run 10 miles.

Step-by-step explanation:

First you have to figure out what Tyler's mph is, so you divide 8  2/3 by 4/3=6.5. Then you multiply by 10 get how long it takes him to run 10 miles.

(hope this helps!)

7 0
3 years ago
In the​ 1970s, due to world​ events, there was a gasoline shortage in the United States. There were often long lines of cars wai
barxatty [35]

Answer:

Part A: The average car length is 9.1 feet to the nearest tenth foot

Part B: The line would be 9100 feet to contained 1000 cars

Step-by-step explanation:

* Lets explain how to solve the problem

# Part A:

- There were 62 cars in a line that stretched 567 feet

- The cars are lined up bumper-to-bumper

- That means there is no empty spaces between the cars

* To find the average length of the car we will divide the length of

  the line by the numbers of the cars

∵ The average car length = length of the line/number of cars

∵ The length of the line is 567 feet

∵ The numbers of the cars is 62 cars

∴ The average car length = 567/62 = 9.1 feet

* The average car length is 9.1 feet to the nearest tenth foot

# Part B:

- There are 1000 cars

- We need to find the length of line which contained the cars

∵ The average car length = length of the line/number of cars

∵ The average of car length is 9.1 feet

∵ The number of the cars is 1000 cars

∴ 9.1 = length of the line/1000

- Multiply both sides by 1000

∴ The length of the line = 9.1 × 1000 = 9100 feet

∴ The line would be 9100 feet to contained 1000 cars

7 0
3 years ago
Tiffany is filling her daughter's pool with water from a hose she can fill the water at a rate of 1/10 gallons/second. Create at
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Answer:

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Step-by-step explanation:

4 0
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