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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! :)

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An ant population starts at 1200 for a certain colony. As each month goes by in the winter, 6.5% of the population dies off. How
Nitella [24]

Answer:

There will be 916 ants alive after 4 months.

Step-by-step explanation:

Step 1

Let's change the percentage to a decimal by dividing by a 100.

6.5% / 100 = .065

Step 2

So, for the first month we will multiply the initial amount of ants by .065 and this will give us the number of ants that die.

1200 * .065 = 78

This means that after the first month, 1200 - 78 = 1122 ants will be alive.

Step 3

Now for the second month: 1122 * .065 = 72.93 (rounded to 73)

1122 - 73 = 1049 ants will be alive

Step 4

For the third month 1049 * .065 = 68.185 (rounded to 68)

1049 - 68 = 981 ants will be alive

Step 5

For the fourth month 981 * .065 = 63.765 (rounded to 64)

981 - 64 = 916 ants will be alive

Hope this helps!

5 0
3 years ago
Read 2 more answers
What is the distance between -6 and 2 on a number line
Likurg_2 [28]
I made a number line and drew it out -6,-5,-4,-3,-2,-1,0,1,2 and i counted how many i had to move over to get to 2 from -6 and i got 8
7 0
3 years ago
The sum of two numbers is 19. Their difference is 65. What are the numbers?
Ludmilka [50]
X = 42 and y = - 23 are the two numbers
3 0
3 years ago
Can someone please help me!!! I need help, no links !!!
Sholpan [36]
Give me a few and I will
4 0
3 years ago
<img src="https://tex.z-dn.net/?f=%28a%29%20%7B%20-%20%28b%29%7D%5E%7B2%7D%20" id="TexFormula1" title="(a) { - (b)}^{2} " alt="(
Cloud [144]

Answer:

 a - b2

Step-by-step explanation:

STEP  1 :

Trying to factor as a Difference of Squares:

1.1      Factoring:  a-b2  

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =

        A2 - B2

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check :  a1   is not a square !!

Ruling : Binomial can not be factored as the difference of two perfect squares

Final result :

 a - b2

<u><em>HOPE THIS HELPS!</em></u>

<u><em>PLEASE MARK BRAINLIEST! :)</em></u>

7 0
3 years ago
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