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Phoenix [80]
4 years ago
11

Please answer this correctly

Mathematics
1 answer:
suter [353]4 years ago
5 0

Answer:

1 11/24 tablespoons

Step-by-step explanation:

1+1+1\frac{1}{3} +1\frac{1}{3} +1\frac{2}{3} +1\frac{2}{3} +1\frac{2}{3} +2=\\\\2+2\frac{2}{3} +3\frac{6}{3} +2=\\\\9\frac{8}{3} =\\\\11\frac{2}{3}

There were 8 mugs in total so:

11\frac{2}{3} ÷ 8=

11\frac{2}{3} *\frac{1}{8} =\\\\\frac{35}{3} *\frac{1}{8} =\\\\\frac{35}{24} =\\\\1\frac{11}{24}

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Answer:

V(x)=(4x^{3}-40x^{2}+100x)\ cm^3

The domain for x is all real numbers greater than zero and less than 5 com

Step-by-step explanation:

<em><u>The question is</u></em>

What is the volume of the open top box as a function of the side length x in cm of the square cutouts?

see the attached figure to better understand the problem

Let

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we know that

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V=LWH

we have

L=(10-2x)\ cm

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substitute

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we know that

(10-2x) > 0\\10> 2x\\ 5 > x\\x < 5\ cm

so

The domain is the interval (0,5)

The domain is all real numbers greater than zero and less than 5 cm

therefore

The volume of the open top box as a function of the side length x in cm of the square cutouts is

V(x)=(4x^{3}-40x^{2}+100x)\ cm^3

5 0
3 years ago
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Hello!

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