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3 years ago

I NEEEEDD HELPPP!!!!!!!

Mathematics

1 answer:

SVEN [57.7K]3 years ago

8 0

The answer is the first option

$\frac{3^{2}(-2)^{6}}{5^{4}}$

Quick tips to help you the next time

$(x^{2})^{2} = x^{4}\\ Multiply the exponentsx^{3} × x^{4} = x{7}$

Add the exponents

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(3 and 5/8+ 1/2)×(6 and 3/4- 7/8)

Leviafan [203]

2.375*3.65=8.667
that is the answer

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3 years ago

22 gallons of gas cost $65.56 what is the unit rate for one gallon of gas

Kitty [74]

Hey there!

If we would want to find out what it would be, we would have to divide it.

Your correct answer would be (2.98)

I did 65.56/22.

Hope this helps you!

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2 years ago

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A room has an area of 60 square meters and a perimeter of 32 meters. What are the length and width of the room?

SOVA2 [1]

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4 0

3 years ago

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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.

7 0

10 months ago

Are there whole numbers that are not integers

zavuch27 [327]

Answer:

Step-by-step explanation:

All whole numbers, positive, negative, and 0 are integers.

4 0

3 years ago