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sineoko [7]
4 years ago
8

Jennifer is checking megan's homework. They disagree on the answer to this problem: 4^2*2^2 Jennifer says the product is 32 and

Megan says it is 64. Who has the correct answer? Explain how she arrived at that correct product.
Mathematics
1 answer:
Aleksandr [31]4 years ago
8 0

Answer:

Megan

Step-by-step explanation:

Given

4² × 2² ← evaluate the exponents, that is

= 16 × 4 ← multiply together

= 64

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Which one of the following is an equation?<br> O 3m + 2<br> 3m<br> 2<br> 3m +2 = 11
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3 years ago
A closed, rectangular-faced box with a square base is to be constructed using only 36 m2 of material. What should the height h a
kkurt [141]

Answer:

b=h=\sqrt{6} m

Step-by-step explanation:

Let

Bas length of box=b

Height of box=h

Material used in constructing of box=36 square m

We have to find the height h and base length b of the box to maximize the volume of box.

Surface area of box=2b^2+4bh

2b^2+4bh=36

b^2+2bh=18

2bh=18-b^2

h=\frac{18-b^2}{2b}

Volume of box, V=b^2h

Substitute the values

V=b^2\times \frac{18-b^2}{2b}

V=\frac{1}{2}(18b-b^3)

Differentiate w. r.t b

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\frac{dV}{db}=0

\frac{1}{2}(18-3b^2)=0

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Again differentiate w.r.t b

\frac{d^2V}{db^2}=-3b

At  b=\sqrt{6}

\frac{d^2V}{db^2}=-3\sqrt{6}

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h=\frac{12}{2\sqrt{6}}

h=\sqrt{6}

b=h=\sqrt{6} m

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3 years ago
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