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3 years ago

Is 4/5*4/5 equal to 4/5?

2 answers:

7 0

When you multiply fractions you multiply straight across. So you'd have 4*4 equals 16. Then you multiply the denominators: 5*5. This would give you 25. So then you have 16/25. It is simplified and cannot be reduced. So no multiplying 4/5 by 4/5 does not equal 4/5.

Zepler [3.9K]3 years ago

3 0

No thats 16/25 which is not 4/5

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Vladimir79 [104]

Answer:

The value of x that maximizes the volume enclosed by this box is 0.46 inches

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Step-by-step explanation:

see the attached figure to better understand the problem

we know that

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where

$L=(7-2x)\ in\\W=(2-2x)\ in\\H=x\ in$

substitute

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Convert to expanded form

$V=(7-2x)(2-2x)x\\V=(14-14x-4x+4x^{2})x\\V=14x-14x^2-4x^2+4x^{3}\\V=4x^{3}-18x^{2} +14x$

using a graphing tool

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Remember that

The domain for x is the interval -----> (0,1)

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If x>1

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the width is negative (W=2-2x)

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see the attached figure

therefore

The value of x that maximizes the volume enclosed by this box is 0.46 inches

The maximum volume is 3.02 cubic inches

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