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3 years ago

8^9•8^7 rewrite the following expression using each base only once

Mathematics

1 answer:

Alex787 [66]3 years ago

5 0

Answer:

$8^{16}$

Step-by-step explanation:

$8^9 \cdot 8^7$

Use the rule

$a^m \times a^n = a^{m + n}$

$8^9 \times 8^7 = 8^{9 + 7} = 8^{16}$

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Re-write this subtraction as an ADDITION of signed numbers. 3 − 7

hoa [83]

3 + (-7)

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4 years ago

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Determine whether each scale factor produces an expansion or a contraction under a dilation of the original image

blondinia [14]

Answer:

see the explanation

Step-by-step explanation:

we know that

If the absolute value of the scale factor is less than 1, then the dilation produces a contraction of the original image

If the absolute value of the scale factor is greater than 1, then the dilation produces an expansion of the original image

<u><em>Verify each value</em></u>

1) -4

$\left|-4\right|=4$

$4> 1$

therefore

The dilation produces an expansion of the original image

2) 0.25

$\left|0.25\right|=0.25$

$0.25 < 1$

therefore

The dilation produces a contraction of the original image

3) -2/3

$\left|-2/3\right|=2/3$

$2/3 < 1$

therefore

The dilation produces a contraction of the original image

4) 2.3

$\left|2.3\right|=2.3$

$2.3 > 1$

therefore

The dilation produces an expansion of the original image

4 0

3 years ago

What are the next 3 numbers in this sequence? 1,1,2,4,7,13,24,44

Bogdan [553]

81,149, 274.... adding three numbers from the last would help you

like if you take 7 = 4 + 2 +1

or 13 = 7 + 4 +2

similarly 44+24+13 = 81
81+44 +24 = 149
149 + 81 +44 = 274

hope you get it!

6 0

3 years ago

James deposited $575 into a bank account that earned 5.5% simple interest each year. If no money was deposited into or withdrawn

Basile [38]

The answer is $654.06.
5.5% of $575 is $31.63. 575 x 0.055 = 31.63
This means that in one year he earns $31.63. In two years it will be $63.25 (31.63 x 2 = 63.25)
Then in half a year it will be $15.81 (31.63/2 = 15.81)
Finally add 15.81 and 63.25 to get $79.06 which you then add to the initial $575 to get the total amount earned in 2 1/2 years which is $654.06.

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3 years ago

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linda scored 35, 47, and 42 points on three tests. how many points should she get on the fourth test to get an average score of

aliya0001 [1]

(35 + 47 + 42 + x) / 4 = 50
(124 + x) / 4 = 50....multiply both sides by 4, cancelling the 4 on the left side.
124 + x = 50 * 4
124 + x = 200
x = 200 - 124
x = 76 <===

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3 years ago