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alukav5142 [94]
3 years ago
14

Write the following expression exponent form.​ 3•2•5•5•2•5​.​

Mathematics
2 answers:
Alekssandra [29.7K]3 years ago
7 0

Answer:

3 * 2^2 * 5^3

Step-by-step explanation:

Hope this is what you wanted

Citrus2011 [14]3 years ago
3 0
3•2^2•5^3


i hope this helped have a good day
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A 24-centimeter by 119-centimeter piece of cardboard is used to make an open-top box by removing a square from each corner of th
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Answer:

The size square removed from each corner = 32.15 cm²

Step-by-step explanation:

The volume of the box = Length * Breadth * Height

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The original length of the cardboard is 119 cm, if you remove a  size of r (This typically will be the height of the box)  from the corner, since there are two corners corresponding to the length of the box, the length of the box will be:

Length, L = 119 - 2r

Similarly for the breadth, B = 24 - 2r

And the height as stated earlier, H = r

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V = (119-2r)(24-2r)r

V = r(2856 - 238r - 48r + 4r²)

V = 4r³ - 286r² + 2856r

At maximum volume dV/dr = 0

dV/dr = 12r² - 572r + 2856

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By solving the quadratic equation above for the value of r:

r = 5.67 or 42

r cannot be 42 because the  size removed from the corner of the cardboard cannot be more than the width of the cardboard.

Note that the area of a square is r²

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3 years ago
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Solve: let f(x)=2x-1 and g(x)=x^2-4. find g(f(x))
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<h3>Answer:   g(f(x)) = 4x^2 - 4x - 3</h3>

Work Shown:

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