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Karolina [17]
3 years ago
7

The height that a properly inflated basketball bounces decreases exponentially by 27.8% with each subsequent bounce after the in

itial drop. A local basketball league tests the inflation of their basketballs by dropping them from a height of 6 feet. Which equation can be used to model the height of the basketball, H, after b bounces?
Mathematics
1 answer:
n200080 [17]3 years ago
3 0

Answer:

H (b) = 0.722^b(6)

Step-by-step explanation:

The first time the basketball bounces it reaches a height of (1-0.278)(6) = (0.722) (6).

The second time the basketball bounces it reaches a height of (0.722) (0.722) (6) = [(0.722) ^ 2] (6). Therefore, after b rebounds the height that the basketball will reach is given by:

H (b) = 0.722^b(6)

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at the playground, the new sandbox was 3 meters wide and 2 meters long. what is the area of the sandbox
S_A_V [24]

area = length times width

area = 2 meters * 3 meters

area = 6 m^2

3 0
3 years ago
Read 2 more answers
68 * 27 - 81 + ? = 600
tankabanditka [31]

The missing term is -1155.

Step-by-step explanation:

Given expression is

68 * 27 - 81 + ? = 600

Let the missing term be x

68*27-81+x=600\\1836-81+x=600\\1755+x=600

Subtracting 1755 from both sides

1755-1755+x=600-1755\\x=-1155

Therefore,

The missing term is -1155.

Keywords: multiplication, addition

Learn more about multiplication at:

  • brainly.com/question/10364988
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8 0
3 years ago
Two triangles have the same heights. One triangle has a base length that is twice the base length of the other triangle. Are the
djyliett [7]

Answer:

Yes

Step-by-step explanation:

The formula for area of a triangle is A = (1/2)bh,

For the first triangle we can leave it in general terms, so it's area is

A = (1/2)bh, depending on what b and h are, but it doesn't matter here...

The second triangle has base that is twice the other triangles base.  Bases being multiples of each other is the definition of being proportional so the bases are proportional, an the area of the second triangle is

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Comparing the 2 areas, you can see that one has a multiplier of (1/2), so their areas are proportional

3 0
3 years ago
Parking spaces at a business school are arranged by a random monthly lottery. there are 3 spaces for every 10 students who want
Alexus [3.1K]

27.034%  
Let's define the function P(x) for the probability of getting a parking space exactly x times over a 9 month period. it would be: 
P(x) = (0.3^x)(0.7^(9-x))*9!/(x!(9-x)!)  
Let me explain the above. The raising of (0.3^x)(0.7^(9-x)) is the probability of getting exactly x successes and 9-x failures. Then we shuffle them in the 9! possible arrangements. But since we can't tell the differences between successes, we divide by the x! different ways of arranging the successes. And since we can't distinguish between the different failures, we divide by the (9-x)! different ways of arranging those failures as well. So P(4) = 0.171532242 meaning that there's a 17.153% chance of getting a parking space exactly 4 times. 
Now all we need to do is calculate the sum of P(x) for x ranging from 4 to 9.

So
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5 0
3 years ago
If u(x)=-2x²+3 and v(x)=1/x, what is the range of (u ° v)(x)?
Ludmilka [50]

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6 0
3 years ago
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