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irga5000 [103]
3 years ago
8

Solve this equation, and show work. worth 40 points.

Mathematics
1 answer:
ioda3 years ago
7 0

Answer:

r=-3/5=-0.6

Step-by-step explanation:

We have the equation:

6^{-3r}=6^{2r+3}

Since their bases are the same, the exponents must be equivalent. So:

-3r=2r+3

Solve for r, subtract 2r from both sides:

-5r=3

Divide both sides by -5:

r=-3/5=-0.6

So, the value of r is -3/5.

And we're done!

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Answer:

The competition took 12.5 minutes.

Step-by-step explanation:

Let the time taken by Achilles to complete the competition is h hours.

Now, Achilles runs at a speed of 13 mph while the Turtle moves at a speed of 1 mph.

So, the competition was 13h miles long.

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Therefore, the competition took 12.5 minutes. (Answer)

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3 years ago
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The perimeter of a rectangular field is 324 yards. If the length of the field is 91 yards, what is its width?
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8 0
3 years ago
DIRECTIONS: Use this information to answer Parts A, B, and C.
Talja [164]

Answer:

V=706.85

Step-by-step explanation:

Well, first of when you want to find the volume of the cone you need to have a radius and hieght. And the radius is half the diameter, so divide the diameter into half: 10/2=5 in. and you already have the height so just plug in the numbers.

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And put the plugged in formula in your calculator and you'll find the answer!

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I hope this helped.

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2 years ago
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