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Marysya12 [62]
3 years ago
10

(2b/3)^4 simplify the expression

Mathematics
1 answer:
Vladimir [108]3 years ago
6 0

Answer:

\large\boxed{\left(\dfrac{2b}{3}\right)^4=\dfrac{16b^4}{81}}

Step-by-step explanation:

\left(\dfrac{2b}{3}\right)^4\qquad\text{use}\ \left(\dfrac{a}{b}\right)^n=\dfrac{a^n}{b^n}\ \text{and}\ (ab)^n=a^nb^n\\\\=\dfrac{2^4b^4}{3^4}=\dfrac{16b^4}{81}

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dybincka [34]
12.826+2.93= 15.756

Since you have to round it, your final answer would be 15.8
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A cone-shaped dispenser is filled with cereal. The cone has a radius of 1.5 inches and a height of 5 inches. Which measurement i
Svetach [21]

Answer:

Option B. 11.78\ in^{3}

Step-by-step explanation:

we know that

The volume of a cone is equal to

V=\frac{1}{3} \pi r^{2}h

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substitute

V=\frac{1}{3} \pi (1.5)^{2}(5)

V=3.75\pi\ in^{3}

assume

\pi =3.14

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3 years ago
How is 2.25 written as a fraction
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2.25 as a fraction is 2 1/4
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Translate the sentence into an inequality. Twice the difference of a number and 7 is at most −20 . Use the variable y for the un
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3 years ago
The table lists the speeds of the fastest roller coasters in North America and Asia.
kotykmax [81]

The difference of the means of the two data sets is = 4.57

The mean absolute deviation of the roller coaster speeds in North America is 13.3

The mean absolute deviation of the roller coaster speeds in Asia is 16.8

<h3>How to solve for the means</h3>

First we have to start with the data for North America

128, 120, 100, 93, 92, 80.8, 85, 82, 80, 77

To get the mean you have to sum up the values and divide through by the total number 10

937.8/10

Mean = 93.78

Mean Absolute Deviation  = (128 - 93.78) + ( 120 - 93.78) + ( 100 - 93.78) + ( 93 - 93.78) + ( 92 - 93.78) + ( 80.8 - 93.78) + ( 85 - 93.78) + ( 82 - 93.78) + ( 80 - 93.78) + ( 77 - 93.78) / 10

133.32/10 = 13.3

For Asia, we have the data as

149.1, 106.9, 95, 83, 90, 80.3, 78.3, 71.5, 69.6, 68.4

Mean for Asia = 892.1/10

= 89.21

Mean Absolute Deviation = (149.1 - 89.21) + ( 106.9 - 89.21) + ( 95 - 89.21) + ( 83 - 89.21) + ( 90 - 89.21) + ( 80.3 - 89.21) + ( 78.3 - 89.21) + ( 71.5 - 89.21) + ( 69.6 - 89.21) + ( 68.4 - 89.21) / 10

= 168.32/10

16.8

The difference in the means = 93.78 -89.21

=  4.57

Read more on means here

brainly.com/question/12172431

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