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Varvara68 [4.7K]
4 years ago
7

An equation is shown below with a missing value.

Mathematics
1 answer:
bogdanovich [222]4 years ago
5 0

Answer:

The missing value is 512

8=\sqrt[3]{512}

Step-by-step explanation:

Let

x ----> the missing value

we have

8=\sqrt[3]{x}

solve for x

That means-----> isolate the variable x

Elevated both sides to the cube

8^{3}=(\sqrt[3]{x})^{3}

Remember that

(\sqrt[3]{a})^{3}=(a^{\frac{1}{3}})^3=a

so

(\sqrt[3]{x})^{3}=x

substitute

8^{3}=x

512=x

Rewrite

x=512

so

the equation is

8=\sqrt[3]{512}

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If the scale factor of two similar cylinders is 4:7, what is the volume ratio?
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Answer:

     64 : 343

Step-by-step explanation:

When working with scale factors

Lengths are related by the scale factor

perimeters are related by the scale factor

areas are related by the scale factor squared

volumes are related by the scale factor cubed

The scale factor is 4:7

The volumes are related by 4^3 : 7^3

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5 women and 7 men are eligible to serve on a committee. If a committee of 4 is randomly selected, what is the probability that i
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Answer:

The required  probability is \frac{14}{33}.

Step-by-step explanation:

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The ratio of the favorable outcomes to the all possible outcomes.

Given that, 5 women and 7 men are eligible to serve on a committee.

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=^5C_2

=\frac{5!}{2!(5-2)!}

=\frac{5!}{2!3!}

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