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Debora [2.8K]
3 years ago
15

The volume of a cube is 2,460.375 cubic inches, what is the length of each side of the cube?

Mathematics
1 answer:
san4es73 [151]3 years ago
7 0

V=a^3

2,460.375=a^3\\a=\sqrt[3]{2,460.375} \\a=13.5

Answer: length is equal to 13.5

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The equation you're looking for would be:

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A rancher wishes to build a fence to enclose a rectangular pen having area 24 square yards. Along one side the fence is to be ma
Gnoma [55]

Answer:

The  value  is  C \approx \$76

Step-by-step explanation:

From the question we are told that

   The  area of the rectangular pen is  A =  24 \ yard^2

     The  cost of material used to make one side is  z = \$ 6

    The  cost of material used to make the other sides is  r  =  \$ 3

Now  , the fence to be build around the rectangular pen  has four sides, the first opposite sides are equal, let assume each of the to be x yard   and the other opposite sides are also equal as well let assume of the to be y yard

So the cost is mathematically represented as

       C =  zx  +  r (x + 2y )

=>   C =  6x  +  3(x + 2y)

=>   C =   9x  +  6y

Now the area of the fence is mathematically represented as

      A =  x* y =  24

=>    y  =  \frac{24}{x}

=>  C =   9x  +  6[\frac{24}{x} ]

=>   C =   9x  +  [\frac{144}{x} ]

Now differentiating

     C'  =  9 + 144*  (-2) x^{-2}

     C'  =  9 - 288x^{-2}

At minimum C' =  0

So  

     9 - 288x^{-2} =  0

     x^{-2} =  0.03125

    x =  \sqrt{\frac{1}{0.03125} }

    x =  5.66

Now substituting for x in the equation above to obtain minimum cost

       C =   9(5.66)  +  [\frac{144}{5.66} ]

       C \approx \$76

   

 

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3 years ago
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Answer:

Step-by-step explanation:

Solution

Start with the product

The product is 7*x where x is a number but not specified.

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Answer: 7x + 6      

This cannot be simplified any more than what it is now.

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katen-ka-za [31]

Answer:

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Step-by-step explanation:

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A ∩ B?

This means intersection or what is in common

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