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Ghella [55]
3 years ago
5

A bottling company makes decorative bottles and ships them to their customers. Each bottle has a height of 13 inches and a radiu

s of 2.5 inches.
The manufacturer places each bottle in cylinder packaging and adds cushioning to the insides of the cylinder. The cushioning is an inch thick on each side of the bottle. If the height of the cylinder is the same as the height of the bottle, what is the volume of the cylinder used to package the bottles? (Round to the nearest whole number. Use π=3.14.)
A
102in3

B
255in3

C
500in3

D
2000in3
Mathematics
1 answer:
patriot [66]3 years ago
3 0

Answer:

C

Step-by-step explanation:

Volume = πr²h

r = 2.5 inches plus 1inch cushon thickness = 3.5 inch radius.

V = 3.142*3.5²*13

V = 500.56in³

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Answer: a) N(t)=1500(2)^t

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Step-by-step explanation:

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Given : A bacteria culture contains 1500 bacteria initially and doubles every hour.

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Then, the function N that models the number of bacteria after t hours will be :

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To find , the number of bacteria after 24 hours , we put t= 24 in above equation , we get

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7 0
3 years ago
Kona wants to bake at most 30 loaves of banana bread and nut bread for a bake sale. Each loaf of banana bread sells for $2.50, a
frutty [35]

x+y≤30 and 2.50x+2.75y≥44 are the inequalities that model given situation.

Step-by-step explanation:

Given,

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At most 30 means the amount cannot exceed 30.

Selling price of each banana bread = $2.50

Selling price of each nut bread = $2.75

Amount to make = $44 at least

At least 44 means that the amount cannot be less than 44.

Let,

x represent the number of loaves of banana bread to be sold

y represent the number of loaves of nut bread to be sold

x+y≤30

2.50x+2.75y≥44

x+y≤30 and 2.50x+2.75y≥44 are the inequalities that model given situation.

Keywords: linear inequalities, addition

Learn more about linear inequalities at:

  • brainly.com/question/4793866
  • brainly.com/question/4824362

#LearnwithBrainly

5 0
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11 + (3)(9)
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Answer:

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8 0
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If the point (x,square root 3/2) is on the unit circle, what. is x?
galina1969 [7]

Answer:

x=\pm\frac{1}{2}

Step-by-step explanation:

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