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WARRIOR [948]
3 years ago
11

2 to the 3rd power = 2x? determine the value of x

Mathematics
2 answers:
WARRIOR [948]3 years ago
7 0
2 to the 3rd power equals 8. 2x2x2=8. 2x would then equal 16. 2x8=16.
Sergeeva-Olga [200]3 years ago
5 0
The answer is 4
2•2•2=2x or 4
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Identify the fraction that is equivalent to 4/7
damaskus [11]
4/7,8/14,12/21,16/28,20/35,24/42,28/49,32/56,36/63,40/70 and so on are equivalent fractions to 4/7
4 0
3 years ago
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How do I solve this?
Tju [1.3M]

Answer:  A:  3x^2y^(3/2)

Step-by-step explanation:

This can be written as

(81*x^8*y^6)^(1/4)

Then multiply each exponent by (1/4):

81^(1/4)*x^(8(1/4))y^6(1/4))

81^(1/4) = 3

x^(8(1/4)) = x^2

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The result:  3x^2y^(3/2)

7 0
2 years ago
[10 points] A manufacturer wants to design an open box having a square base and a surface area of 108 square inches. What dimens
MissTica

Answer:

  6 inches square by 3 inches high

Step-by-step explanation:

For a given surface area, the volume of an open-top box is maximized when it has the shape of half a cube. If the area were than of the whole cube, it would be 216 in² = 6×36 in².

That is, the bottom is 6 inches square, and the sides are 3 inches high.

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Let x and h represent the base edge length and box height, respectively. Then we have ...

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Solving for height, we get ...

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The volume is the product of base area and height, so is ...

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We want to maximize the volume, so we want to set its derivative to zero.

  dV/dx = 0 = 27 -(3/4)x²

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The box is 6 inches square and 3 inches high.

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<em>Comment on maximum volume, minimum area</em>

In the general case of<em> an open-top box</em>, the volume is maximized when the cost of the bottom and the cost of each pair of opposite sides is the same. Here, the "cost" is simply the area, so the area of the bottom is 1/3 the total area, 36 in².

If the box has a <em>closed top</em>, then each pair of opposite sides will have the same cost for a maximum-volume box. If costs are uniform, the box is a cube.

7 0
2 years ago
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The side lengths are 16 ft, 18 ft, and 25 ft.

3 0
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sergejj [24]
The answer to this question is 0.75
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3 years ago
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