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Mathematics

1 answer:

mixas84 [53]3 years ago

4 0

Answer:

Choice B: Carbon would not be recycled and added to soil, interrupting the cycle.

Step-by-step explanation:

Without the help of decomposers, the ones who break the dead organisms down, the carbon would be locked inside the dead organism. Then carbon wouldn't be able to get recycled through the air. The only way it could be released would be through combustion.

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An open box with a square base is to have a volume of 18 ft^3.

kotegsom [21]

Answer:

2.29 ft of side length and 1.14 height

Step-by-step explanation:

a) Volume V = x2h, where x is side of square base and h is hite.

Then surface area S = x2 + 4xh because box is open.

b) From V = x2h = 6 we have h = 6/x2.

Substitude in formula for surface area: S = x2 + 4x·6/x2, S = x2 + 24/x.

We get S as function of one variable x. To get minimum we have to find derivative S' = 2x - 24/x2 = 0, from here 2x3 - 24 = 0, x3 = 12, x = (12)1/3 ≅ 2.29 ft.

Then h = 6/(12)2/3 = (12)1/3/2 ≅ 1.14 ft.

To prove that we have minimum let get second derivative: S'' = 2 + 48/x3, S''(121/3) = 2 + 48/12 = 6 > 0.

And because by second derivative test we have minimum: Smin = (12)2/3 + 4(12)1/3(12)1/3/2 = 3(12)2/3 ≅ 15.72 ft2

5 0

2 years ago

A rectangular flowerbed at a city park has an area of 126 square meters.the width of the flowerbed is 3 meters.what is the perim

Alona [7]

First we need to find the length. So we do 126/3 to get 42. The length is 42. Now to find perimeter we do 2(42)+2(3) or 42+42+3+3.

Both ways are right ways. The perimeter is 90 meters.

Hope that helps!!

6 0

3 years ago