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AveGali [126]
3 years ago
13

Which choice is equivalent to the expression below ? 3^7.869

Mathematics
2 answers:
max2010maxim [7]3 years ago
6 0
The second one:
3^7 x 3^(86/10) x 3^(9/1000)
That is because when you multiply powers with the same base ( in this case they are all 3), you just leave the base as it is and add the exponents
so it is basically 3^(7 + 86/100 + 9/1000) which is 3^7.869
KonstantinChe [14]3 years ago
3 0

Answer:

3^7 x 3^8/10 x 3^6/100 x 3^9/1000

Step-by-step explanation:

APEX

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4 years ago
A cable is 60 meters long. How long is the cable in decimeters?
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Answer:

600 decimeters

Step-by-step explanation:

multiply the meter length by 10

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3 years ago
A 10-foot ladder leans against a wall so that it is 6 feet high at the top. The ladder is moved so that the base of the ladder t
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Answer:

The top of the ladder is now at 10 ft.

Step-by-step explanation:

At the start, we have a height H=6, a length L=10 and a base B, that has to be calculated by the Pythagorean theorem:

B^2=L^2-H^2=10^2-6^2=100-36=64\\\\B=\sqrt{64}=8

The base is moved twice the distance the height moves up.

We called this distance x, so we have:

L^2=(H+x)^2+(B-2x)^2=H^2+2Hx+x^2+B^2-4Bx+4x^2\\\\L^2=(H^2+B^2)+5x^2+(2H-4B)x\\\\L^2=L^2+5x^2+(2H-4B)x\\\\0=5x^2+(2H-4B)x\\\\5x+(2H-4B)=0\\\\x=\dfrac{4B-2H}{5}=\dfrac{4*8-2*6}{5}=\dfrac{32-12}{5}=\dfrac{20}{5}=4

The new height (H+x) is

H'=H+x=6+4=10

The base travels 2x=8, so the new base B' is 0.

This means that the ladder is all against the wall (L=H').

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3 years ago
In June, Jasmine earned $1200 in commission. In July, her commission decreased by 7% Write an expression that can be used to fin
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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

I need the rest of the question. What are the choices?

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