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anastassius [24]
3 years ago
11

A spherical ball has a diameter of 8 inches. The ball has a slow leak in which the air escapes at the rate of 2.5 inches per sec

ond. How long would it take for the ball to deflate? Round to the nearest tenth.
Mathematics
1 answer:
s344n2d4d5 [400]3 years ago
4 0

Answer:

107.2 seconds

Step-by-step explanation:

Step one:

given

the diameter of ball 8 inches

radius= 8/2 = 4 in

The volume of the ball

v=4/3 \pi r^3

v= 4/3*3.142*4^3\\\\v= 4/3*3.142*64\\\\v= 804.35/3\\\\v=268.12 in^3

Step two:

we know that

rate= quantity/time

rate= 2.4 in per second

quantity= 268.12

time=?

time= quantity/rate

time= 268.12/2.5

time= 107.2 seconds

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Sammy has x flavors of candies with which to make goody bags for Frank's birthday party. Sammy tosses out y flavors, because he
harkovskaia [24]

Answer:

^{(x-y)}C_{10}=\frac{(x-y)!}{10! \times (x-y-10)!}

Step-by-step explanation:

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After throwing away y flavors, the number of flavors Sammy will be left with = x - y

He needs to make 10-flavor bags from these (x - y) flavors. In order words he needs to chose 10 flavors for each bag from(x - y) flavors. The order of selection is not important here, so this is a problem of combinations. Also since we have to make selections or small groups, this also indicates that we have to use combinations.

So we need to make combinations of 10 flavors from a total of (x - y) flavors. This can be represented as ^{(x-y)}C_{10}

The formula for combinations is:

^{n}C_{r}=\frac{n!}{r!(n-r)!}

Using the values in this formula, we get:

^{(x-y)}C_{10}=\frac{(x-y)!}{10! \times (x-y-10)!}

7 0
3 years ago
Which graph represents exponential decay?
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Answer:

  (d) -- see attached

Step-by-step explanation:

A graph that shows exponential decay is one that tends toward a horizontal asymptote as x gets large.

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Hope this helps :)

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3 years ago
Read 2 more answers
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