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MAVERICK [17]
3 years ago
8

Which expression is equivalent to 6^–3?

Mathematics
2 answers:
dedylja [7]3 years ago
8 0

Answer:

6^{-3}

Step-by-step explanation:

Given : 6^{-3}

To Find: Which expression is equivalent to 6^{-3}

Solution:

Identity :x ^{-1}=\frac{1}{x}

So, 6^{-3} = (\frac{1}{6})^3

6^{-3} = (\frac{1}{6})^3

So, (\frac{1}{6})^3 is equivalent to 6^{-3}

Thus Option D is correct.

lara31 [8.8K]3 years ago
4 0
Expression 6^–3 can be rewritten as:
1/6^3 = (1/6)^3

Therefore the answer is D

Hope that helps you
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What is 1/10 as a percent?<br> what is 1/5 as a percent?
Ber [7]

Answer:

1/10 as a percent is 10%

1/5 as a percent is 20%

Step-by-step explanation:

You need to multiply the bottom numbers to 100 because usually all percentages are out of 100. The result is the top number.

7 0
3 years ago
Read 2 more answers
a certain triangle has a perimeter of 3067 mi. the shortest side measures 71 mi less than the middle side and the longest side m
UkoKoshka [18]

Answer:

The measure of the shortest side is 851 miles

Step-by-step explanation:

Let

x ----> the measure of the shortest side

y ---> the measure of the middle side

z ---> the measure of the longest side

we know that

The perimeter of triangle is equal to

P=x+y+z

P=3,067\ mi

so

3,067=x+y+z ----> equation A

the shortest side measures 71 mi less than the middle side

so

x=y-71 ----> equation B

the longest side measures 372 mi more the the middle side

so

z=y+372 ----> equation C

substitute equation B and equation C in equation A

3,067=(y-71)+y+(y+372)

solve for y

3,067=3y+301\\3y=2,766\\y=922

Find the value of x

x=y-71\\x=922-71\\x=851

therefore

The measure of the shortest side is 851 miles

6 0
2 years ago
I need help please?!!!!!
Oksi-84 [34.3K]

Answer:

negative negative negative negative negative negative negative negative negative negative negative negative negative negative negative negative

8 0
3 years ago
Read 2 more answers
involving the election of officers on a committee. Assume that the committee consists of 14 members including Tasha. The same th
Yanka [14]

Answer:

There are 364 ways of filling the offices.

Step-by-step explanation:

In this case, the order of filling of the offices does not matter, so, we can figure out the different ways of filling the offices by using the combination formula:

C^{n} _{r}=\frac{n!}{(n-r)!r!}

where n=14 (number of members)

r=3 number of offices

n!=n·(n-1)·(n-2)·...·3·2·1

C^{14} _{3}=\frac{14!}{(14-3)!3!}=\frac{14*13*12*11*10*9*8*7*6*5*4*3*2*1}{(11*10*9*8*7*6*5*4*3*2*1)*(3*2*1)}=\frac{14*13*12}{3*2*1} =364

5 0
3 years ago
Find the value of x.<br><br><br> A. 4.3<br> B. 2.7<br> C. 11.6<br> D. 13.9
kakasveta [241]

Answer:

<h2><u>[D] 13.9</u></h2>

Explanation:

  • <em>Pythagorean theorem: a² + b² = c²</em>
  • <em>Solve for hypotenuse (side x) using: c = √a² + b²</em>

12.8² + 5.3² = 191.93

√191.93

= 13.8538803229

<em>Round the answer</em>

13.9

6 0
3 years ago
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