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3 years ago

Quick help guys thanks :)

Mathematics

1 answer:

Sonbull [250]3 years ago

8 0

Answer:

$\large\boxed{t^{-58}u^{-88}v^{-71}w^{-1}}$

Step-by-step explanation:

$\dfrac{tuv^4w^0}{t^{59}u^{89}v^{75}w}\qquad\text{use}\ \dfrac{a^n}{a^m}=a^{n-m}\\\\=t^{1-59}u^{1-89}v^{4-75}w^{0-1}=t^{-58}u^{-88}v^{-71}w^{-1}$

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What is the surface area of a cube with a side length of 5 inches?

LenaWriter [7]

The surface area of the cube is 150 in^2

Further Explanation:

A cube is a six-faced figure with same side length.

The formula for calculting the surface area of cube is given by:

$SA = 6s^2$

Here s is the length of side.

Given

Side length =s =5 in

$SA=6*(5)^2\\= 6*25\\=150\ in^2$

The area of cube is 150 in^2

Keywords: Surface area, Cube

Learn more about cube at:

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3 years ago

A bicyclist heads east at 10km/h. After she has traveled 24.2 kilometers, another cyclist sets out in the same direction going 3

Alona [7]

We know that the first cyclist has traveled 24.2 km at a speed of 10 km/h. Lets use the equation $time= \frac{distance}{speed}$ to find the time of the first cyclist:
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So, we know that she has traveled for 2.42 hours.

We also know that after she has traveled for 2.42 hours another cyclist sets out in the same direction, so if $t$ represents the time of our first cyclist, the time of our second cyclist will be $t-2.42$ .

Now we are going to use the equation $distance=(speed)(time)$ to relate the speeds and times of the two cyclist:
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$distance=30(t-2.42)$ equation (2)

Replace (1) in (2)
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The only thing left now is solve for $t$ :
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We can conclude that the second cyclist will catch up the first cyclist after 3.63 hours.

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FromTheMoon [43]

Answer:

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Step-by-step explanation:

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3 years ago

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If a function f has an inverse function, then fis one-to-one. A) True B) False

Len [333]

Answer:

true

Step-by-step explanation:

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3 years ago

Which scales are equivalent to 1 inch to 1 foot? Select all that apply. Group of answer choices 1 to 12 (1/12) to 1 100 to 0.12

Bad White [126]

Answer:

1 to 12
5 to 60
9 to 108

Step-by-step explanation:

There are 12 inches in one foot so the equivalent ones are:

1 to 12

This shows that there are 12 inches in one foot so is equivalent.

5 to 60

5/60 = 1/12

This is equivalent because it shows that 12 inches are required to make a foot.

9 to 108

9/108 = 1/12

This is also equivalent for the same reasons as above.

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3 years ago