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Alja [10]
3 years ago
10

A submarine cuts through the water at an elevation of 203 meters under the sea. The sub rises, and the elevation changes by 4.3

meters per minute for the first 15 minutes. The sub continues to rise at 5.2 meters per minute for the next 12 minutes. What is the elevation of the submarine after rising? Assume that sea level is at an elevation of 0 feet.
Mathematics
1 answer:
Natalija [7]3 years ago
4 0
It should be 76.1m under water. First multiple 15x4.3=64.5, and 5.2x12=62.4. Add those together to get 126.9. Subtract that from the initial elevation of 203 and get your answer.
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Answer:

W_{max}=480m\\ L_{max}=160m

Step-by-step explanation:

Since we know we only have 640 feet of fence available, we know that L + W + L = 640, \implies 2L + W = 640. This allows us to represent the width, W, in terms of L: W = 640 – 2L

Remember, the area of a rectangle is equal to the product of its width and length, therefore,

A_{\rm pigpen}=L(640-2L)\implies 640L-2L^2

Notice that, quadratic has been vertically reflected, since the coefficient on the squared term is negative, so the graph will open downwards, and the vertex will be a maximum value for the area.

recall,

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Since our function is A(L)=640L-2L², we get

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plug in the value of a and b into the first formula:

L_{max}=-(640)/2(-2)\implies 160

A(L)_{max}=640(160)-2(160)^2\implies 76800

hence,the dimensions of the pen that will maximize the area are<u> </u><u>L=</u><u>1</u><u>6</u><u>0</u><u>m</u><u> </u>and<u> </u><u>W=</u><u>7</u><u>6</u><u>8</u><u>0</u><u>0</u><u>/</u><u>1</u><u>6</u><u>0</u><u>=</u><u>4</u><u>8</u><u>0</u><u>m</u>

and we're done!

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