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andriy [413]
3 years ago
15

A hamster runs in its wheel whose radius is 3 inches. The wheel completes 7.3 revolutions in 6 seconds.

Mathematics
1 answer:
Vikentia [17]3 years ago
7 0
Answer: Linear speed is 22.6 in/sec
Explanation: 1.2•18.8= 22.6
I got those numbers by dividing 7.3 in 6 and got the 1.2 rev/sec.
Radius= 2pi ( 3in)= 18.8
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The owner of a cattle ranch would like to fence in a rectangular area of 3000000 m^2 and then divide it in half with a fence dow
Reika [66]
If you notice the picture below, the amount of fencing, or perimeter, that will be used will be 3w + 2l

now    \bf \begin{cases}
A=l\cdot w\\\\\
A=3000000\\
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3000000=l\cdot w\\\\
\frac{3000000}{w}=l
\end{cases}\qquad thus
\\\\\\
P=3w+2l\implies P=3w+2\left( \cfrac{3000000}{w} \right)\implies P=3w+\cfrac{6000000}{w}
\\\\\\
P=3w+6000000w^{-1}\\\\
-----------------------------\\\\
now\qquad \cfrac{dP}{dw}=3-\cfrac{6000000}{w^2}\implies \cfrac{dP}{dw}=\cfrac{3w^2-6000000}{w^2}
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\textit{so the critical points are at }
\begin{cases}
0=w^2\\\\
0=\frac{3w^2-6000000}{w^2}
\end{cases}

solve for "w", to see what critical points you get, and then run a first-derivative test on them, for the minimum

notice the 0=w^2\implies 0=w   so.  you can pretty much skip that one, though is a valid critical point, the width can't clearly be 0

so.. check the critical points on the other

8 0
3 years ago
Mr. Douglas drove 2,482 miles. He spent 42.5 hours in the car driving. What was his avrage speed for the trip?
Readme [11.4K]

Use the formula speed=distance/time, or s=d/t.

Substitute 2,482 for d and 42.5 for t.

s=2,482/42.5

Simply divide for the answer:

Mr. Douglas' average speed for the trip was 58.4 miles per hour.

I hope this helps! ^_^

4 0
3 years ago
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Ulleksa [173]

Answer:

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Step-by-step explanation:

im in high and i had As in 6th

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Question 3 (0.5 points)
nekit [7.7K]

Answer:

0.72

Step-by-step explanation:

7.25+2.35=9.6

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5 0
3 years ago
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velikii [3]

Answer:

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