3 years ago

Use the power rules for exponents to simplify the expression

1 answer:

3 0

Using rule 5.
Answer: g^4/h^4

I hope I helped. Look up "Exponent rules" Make a song it'll help you memorize it. Actually, it was how dad taught me when I was 13yrs old :)

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3 years ago

The surface area of a cube is increasing at a rate of 15 square meters per hour. At a certain instant, the surface area is 24 sq

algol13

Answer:

The volume of cube is increasing at a rate 7.5 cubic meter per hour.

Step-by-step explanation:

We are given the following in the question:

Surface area of cube = 24 square meters.

Let l be the edge of cube.

Surface area of cube =

$6l^2 = 24\\l^2 = 4\\l = 2$

Thus, at that instant the edge of cube is 2 meters.

$\dfrac{dS}{dt} = 15\text{ square meters per hour}\\\\\dfrac{d(6l^2)}{dt} = 15\\\\12l\dfrac{dl}{dt} = 15\\\\\dfrac{dl}{dt} = \dfrac{15}{12\times 2} = \dfrac{15}{24}$

We have to find the rate of change in volume.

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Rate of change of volume =

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Thus, the volume of cube is increasing at a rate 7.5 cubic meter per hour.

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3 years ago

In which quadrant or on what axis does each point lie

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A- Q2
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3 years ago