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Troyanec [42]
3 years ago
15

A cooler has a volume of 5,096 cubic inches. If Jill is using the water in the cooler to fill the cylindrical cups with height o

f 4 and a diameter of 2 inches, how many full cups should she be able to fill.
Mathematics
1 answer:
Alex3 years ago
5 0

Answer:

She will be able to fill 405 cups

Step-by-step explanation:

A cooler has a volume of 5,096 cubic inches.

Jill is using the water in the cooler to fill the cylindrical cups with height of 4 inches and a diameter of 2 inches (radius = 1 inch).

To find how many full cups she can get from the cooler, we have to first find the volume of the cups and divide the volume of the cooler by the volume of the cups.

The volume of a cylinder is given as:

V = \pi r^2h

where r = radius and h = height

The volume of the cylindrical cups is:

V = \pi * 1^2 * 4 = 12.57 in^3

Hence, the number of cups that she will be able to fill is:

5096 / 12.57 = 405.41 cups ≅ 405 cups

She will be able to fill 405 cups.

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Customers arrive at a bank at a rate of 12/hour. It takes the clerk on average 4 minutes to help each customer. a. What is the a
-Dominant- [34]

Answer:

Step-by-step explanation:12 customers per hour..

4minutes per customer..

Time customers must wait= 12customers ×4minutes =48 minutes.. The clerk use 48minutes to attend to 12customers in one hour leaving him with 12spare minutes.

(B)since the clerk has 12 minute to spare it means each customer have a minute to wait before getting attention..

(C)number of customers waiting =12/2=6customers...

4 0
3 years ago
Please help and thank you
Ksivusya [100]

Answers: Angle A is 36 degrees, angle C is 54 degrees

=================================================================

Work Shown:

The angles A and C are complementary, meaning they add to 90 degrees.

(Angle A) + (Angle C) = 90

(2x-4) + (2x+14) = 90

(2x+2x)+(-4+14) = 90

4x+10 = 90

4x+10-10 = 90-10 .... subtract 10 from both sides

4x = 80

4x/4 = 80/4 ..... divide both sides by 4

x = 20

If x = 20, then,

angle A = 2x-4 = 2*20-4 = 40-4 = 36 degrees

angle C = 2x+14 = 2*20+14 = 40+14 = 54 degrees

Note how A+C = 36+54 = 90 which helps confirm our answers.

8 0
3 years ago
(PLEASE HELP) The table below - does it represent an exponential function?
Aliun [14]
Short answer: I don't know, but that doesn't mean I can't give you something that you can decide for yourself.
y = 4*2^(2n - 2) is the pattern.
Go for broke. Try n = 4. You should get 256. Let's try it.
y = 4 * 2^(2*4 - 2)
y = 4 * 2^(8 - 2)
y = 4 * 2^6
y = 4 * 64
y = 256 yup it works.

The other end is just as important. Suppose n = 1
Then y = 4 * 2^(2*1 - 2) = 4 * 2^0 = 4*1 = 4 Both work.

If this formula is correct, we can abbreviate it to make your task easier.
y = 4 * 2^(2n - 2)
y = 2^2 * 2^(2n - 2)
y = 2^(2n - 2 + 2)
y = 2^(2n) Now try the two end points again.

n = 4
y = 2^(2*4)
y  =  2^8
y = 256

n = 1
y = 2^(2*1)
y = 2^2
y = 4 which again checks.

so y = 2^(2n) I think is an exponential function.
Sorry my explanation is so long.

6 0
3 years ago
Alice and Dakota are packing gift boxes. Alice has already packed 21 additional boxes and is packing 8 additional boxes per hour
aev [14]
Dakota would have 52 boxes after 4 hours and Alice would have 52 boxes with a total of 104 boxes
5 0
1 year ago
Simplify the problem 2/sqrt 5
AURORKA [14]
2/sqrt 5

by rationalising the denominator,

2/sqrt 5 × sqrt 5/sqrt 5

= 2(sqrt 5)/sqrt 5(sqrt 5)

= 2 sqrt 5/5

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hope this helps! :))))
7 0
3 years ago
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