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BabaBlast [244]
3 years ago
13

Which expression is equivalent to (a^8)^4? O a^2 Oa^4 Oa^12 0a^32

Mathematics
1 answer:
Alex_Xolod [135]3 years ago
3 0

Answer:

a^32

Step-by-step explanation:

Apply law of exponents.

(a^b)^c = a^(bc)

(a^8)^4 = a^(8 × 4)

= a^32

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Length of a rectangular prism is increased by factor of 1.5. The width is doubled and height is tripled. What is the new volume?
Alenkasestr [34]

The new volume is Nine time the original volume

Step-by-step explanation:

Let the length be 'l'

Let the height be 'h'

Let the width be 'w'

Volume of a rectangular prism= l x w x h

New length = 1.5l

New width = 2w

New height= 3h

New volume= (1.5l) x (2w) x (3h)

= 9 (l x w x h)

New volume= 9 ( original volume)

The new volume is 9 time the original volume

6 0
3 years ago
Musical megabytes How much disk space
alexdok [17]

Given:

Consider the file sizes (in  megabytes) for 18 randomly selected files on  Gabriel's mp3 player are shown in the below figure.

To find:

The outliers in the  distribution.

Solution:

We have, the given data set

2.4, 2.7, 1.6 , 1.3 , 6.2, 1.3, 5.6, 1.1, 2.2, 1.9, 2.1, 4.4, 4.7, 3.0, 1.9, 2.5, 7.5, 5.0

Arrange the data in ascending order.

1.1, 1.3, 1.3, 1.6, 1.9, 1.9, 2.1, 2.2, 2.4, 2.5, 2.7, 3.0, 4.4, 4.7, 5.0, 5.6, 6.2, 7.5,

Divide the data in 4 equal parts.

(1.1, 1.3, 1.3, 1.6), 1.9, (1.9, 2.1, 2.2, 2.4),( 2.5, 2.7, 3.0, 4.4), 4.7, (5.0,5.6, 6.2, 7.5)

It is clear that,

Q_1=1.9

Q_3=4.7

IQR=Q_3-Q_1

IQR=4.7-1.9

IQR=2.8

Now,

Interval=[Q_1-1.5IQR,Q_3+1.5IQR]

Interval=[1.9-1.5(2.8),4.7+1.5(2.8)]

Interval=[-2.3,8.9]

All the data values lies in the interval [-2.3,8.9]. Therefore, the given data set have no outliers.

7 0
3 years ago
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Alik [6]
The answer to this is 5 ( i think )
4 0
2 years ago
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Students washed cars to raise funds for their school. they collected $291 by charging $3.00 per car. how many cars did they wash
melamori03 [73]
Divide total money collected by amount charged per car to find number of cars washed.

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Hope this helps! :)
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Why is looking at cash flow an important step in a good financial plan
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It’s a good step because you know where you are at in present time as well as looking ahead into the future financially.
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