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natulia [17]
3 years ago
7

Can someone please help me with math.

Mathematics
1 answer:
Umnica [9.8K]3 years ago
5 0

Answer:

9) C. 35 + 0.12x = 44.36

10) B

11) A. 32

Step-by-step explanation:

9)

44.36 is the TOTAL so the equations have to EQUAL it.

PER mile means it's a variable so it's 0.12x:

35 is a constant so there's no variable attached:

35 + 0.12x = 44.36

10)

B because you have to cancel the y values and to do that, you multiply the 1st equation by 3.

11)

0.1x + 0.25(46 - x) = 6.70

0.1x + 11.5 - 0.25x = 6.7

-0.15x = 6.7 - 11.5

-0.15x = -4.8

x = 32

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Answer:

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Step-by-step explanation:

a) The volume is given by ...

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b) The surface area is the sum of the area of the base (x^2) and the lateral area, which is the product of the height and the perimeter of the base.

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S'=2x-\dfrac{492}{x^2}

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0=2x -\dfrac{492}{x^2}\\\\0=x^3-246\\\\x=\sqrt[3]{246}\approx 6.26583

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d) The second derivative is ...

S''=2+\dfrac{2\cdot 492}{x^3}=2+\dfrac{2\cdot 492}{246}=6

This is positive, so the value of x found represents a minimum of the area function.

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e) The minimum area is ...

S=x^2+\dfrac{2\cdot 246}{x}=(246^{\frac{1}{3}})^2+2\dfrac{246}{246^{\frac{1}{3}}}=3\cdot 246^{\frac{2}{3}}\approx 117.78

The minimum area of metal used is about 117.78 m².

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3 years ago
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liberstina [14]

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3 years ago
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ANTONII [103]

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