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PtichkaEL [24]
4 years ago
11

Find the sum of a finite geometric series. A ball is dropped from a height of 10 meters. Each time it bounces, it reaches 50 per

cent of its previous height. The total vertical distance down the ball has traveled when it hits the ground the fifth time is meters.
Mathematics
1 answer:
Sedaia [141]4 years ago
5 0

Answer:

19.375 m.

Step-by-step explanation:

Before the first bounce it has travelled 10 meters.

Then after just hitting the ground the second time it has travelled 10 +1/2(10) = 15 m.

The common ratio is 0.5 and we want the sum of  5 terms

= a1  (1 - r^n) / (1 - r)

= 10 * (1 - 0.5^5) / (1 - 0.5)

= 19.375 m.

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Figure AAA is a scale image of figure BBB.
Vadim26 [7]

Figure A maps to figure B with a scale factor of 4/9, hence the value of x is x = 54

<h3>What is a transformation?</h3>

Transformation is the movement of a point from its initial point to a new location. Types of transformation are<em> reflection, rotation, translation and dilation.</em>

Dilation is the increase or decrease in the size of a figure.

Figure A maps to figure B with a scale factor of 4/9, hence:

4/9 * x = 16

x = 54

Figure A maps to figure B with a scale factor of 4/9, hence the value of x is x = 54

Find out more on transformation at: brainly.com/question/4289712

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8 0
2 years ago
Hello help with question please :)
k0ka [10]

Answer:

A

Step-by-step explanation:

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6 0
3 years ago
Read 2 more answers
The stadium has 9400 seats. 7990 of these seats are in the sun today. What percent of seats are NOT In the sun?
AURORKA [14]

Answer:

15%

Step-by-step explanation:

When looking at the problem, you are given the total number of seats and the number of seats that are in the sun. There are two ways that you can go about this problem

1) In this method, you want to find how many seats are not in the sun. First you would take the total number of seats (9400) minus the number of seats in the sun (7990) to find the amount of seats not in the sun. 9400 - 7990 = 1410 seats. After this, you simply want to find the percentage by doing the part over the whole multiplied by 100 and it would look like this: (1410 / 9400) * (100) = 15%

2) You can find the percentage of seats in the sun and you know that it's compliment is the seats out of the sun. So it would look similar to the last one by doing part over whole multiplied by 100: (7990 / 9400) * (100) = 85% in the sun. Then you would subtract that from 100%: 100 - 85 = 15% of seats not in the sun.

I hope that this helps!

5 0
3 years ago
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The function, f(x) = |x - 2| + 4 has a vertex that is located in which quadrant?
DaniilM [7]
Quadrant one is the answer you should select.
8 0
3 years ago
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6x+7y=5<br>2×-3y=7<br><img src="https://tex.z-dn.net/?f=6%20%5Ctimes%20%20%2B%207y%20%3D%205%20%5C%5C%202%20%5Ctimes%20%20-%203y
svetoff [14.1K]

Answer:

x=2; y=-1

Step-by-step explanation:

Hello,

(1) 6x+7y=5

(2) 2x-3y=7

We multiply equation (2) by 3, it gives

6x-9y=21 and we subtract from (1)

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8 0
3 years ago
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