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3 years ago

5

What is the side length of a cube with a volume of 64 mm3? Cube V = s3 1. Substitute the value into the formula: 64 = s3

2. Undo the cube by applying the cube root: 3√64 = 3√s3 What is the side length of the cube? mm

2 answers:

rusak2 [61]3 years ago

6 0

Answer:

4mm

Step-by-step explanation:

hope this helps

a_sh-v [17]3 years ago

3 0

The answers is 4mm for the side length of the cube.

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The total cost for a chair, a desk, and a lamp is $562. The desk costs four times as much as the lamp and the chair costs $23 le

alexandr1967 [171]

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3 years ago

The area of a square rug is 64 ft.² what is the perimeter of the rug?

Slav-nsk [51]

Answer:

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Step-by-step explanation:

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3 years ago

Find out the number of combinations and the number of permutations for 8 objects taken 6 at a time. Express your answer in exact

umka2103 [35]

Solution:

The permutation formula is expressed as

$\begin{gathered} P^n_r=\frac{n!}{(n-r)!} \\ \end{gathered}$

The combination formula is expressed as

$\begin{gathered} C^n_r=\frac{n!}{(n-r)!r!} \\ \\ \end{gathered}$

where

$\begin{gathered} n\Rightarrow total\text{ number of objects} \\ r\Rightarrow number\text{ of object selected} \end{gathered}$

Given that 6 objects are taken at a time from 8, this implies that

$\begin{gathered} n=8 \\ r=6 \end{gathered}$

Thus,

Number of permuations:

$\begin{gathered} P^8_6=\frac{8!}{(8-6)!} \\ =\frac{8!}{2!}=\frac{8\times7\times6\times5\times4\times3\times2!}{2!} \\ 2!\text{ cancel out, thus we have} \\ \begin{equation*} 8\times7\times6\times5\times4\times3 \end{equation*} \\ \Rightarrow P_6^8=20160 \end{gathered}$

Number of combinations:

$\begin{gathered} C^8_6=\frac{8!}{(8-6)!6!} \\ =\frac{8!}{2!\times6!}=\frac{8\times7\times6!}{6!\times2\times1} \\ 6!\text{ cancel out, thus we have} \\ \frac{8\times7}{2} \\ \Rightarrow C_6^8=28 \end{gathered}$

Hence, there are 28 combinations and 20160 permutations.

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1 year ago

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3 years ago

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Step-by-step explanation:

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