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steposvetlana [31]
2 years ago
9

A rectangular box is to have a square base and a volume of 60 ft3. the material for the base costs 33¢/ft2, the material for the

sides costs 10¢/ft2, and the material for the top costs 20¢/ft2. letting x denote the length of one side of the base, find a function in the variable x giving the cost (in dollars) of constructing the box.
Mathematics
1 answer:
vodomira [7]2 years ago
5 0
The base and top have the same area, so we can add their costs.
.. cost of base + cost of top = (0.33 +0.20)*x^2 . . . . . . . . x measured in feet

The height of the box wil be (60/x^2), and the total length of all sides is the perimeter of the base, 4x. Then the cost of the sides is
.. cost of sides = (0.10)*(60/x^2)*(4x) = 24/x

The total cost of material for the box is
.. total cost = cost of base + cost of top + cost of sides
.. total cost = 0.53x^2 +24/x . . . . . . . . . . dollar cost for x in feet
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Answer:

x=\frac{2}{9}

Step-by-step explanation:

\frac{1}{4}-x=\frac{x}{8}

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(\frac{8}{1})(\frac{1}{4}-x)=\frac{x}{8}(\frac{8}{1})

  • If we multiply both sides by this number, we will be able to get rid of the messy fraction on the right side as well as remove the fraction on the left side. Like so:
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(\frac{8}{1})(\frac{1}{4}-x)=\frac{x}{8}(\frac{8}{1})\\\frac{8}{4}-8x=\frac{8x}{8}\\2-8x=x

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3 years ago
A sphere has diameter 28 cm. If the diameter is divided by 2, what is the effect on the surface area?
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The surface area is divided by 4.

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Surface area of a sphere is 4πr².

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Jace went shopping for a new phone. The listed price of the phone was $50, but the price with tax came to $51.50. Find the perce
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If A is the subset of B, then A intersects B =B or A is a union B = B
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If p = .8 and n = 50, then we can conclude that the sampling distribution of pˆ is approximately a normal distribution
FrozenT [24]

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Step-by-step explanation:

The sampling distribution of \hat{p} can be approximated as a Normal Distribution only if:

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