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hammer [34]
3 years ago
11

Place value of whole numbers 301,256,878

Mathematics
1 answer:
notka56 [123]3 years ago
4 0
300 + 0+ 1, 200 + 50+ 6, 800 +70 + 8.
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The mass of the particles that a river can transport is proportional to the sixth power of the speed of the river. A certain riv
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The river flows at 2 miles per hour. This is the speed of the current, or the speed at which the water itself is moving.

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For particles that are 15 times the usual mass, the speed of the river itself must increase for the particles to travel at the same speed as before. The mass of the particles is still proportional to the sixth power of the speed of the river, but the speed of the river can no longer be 2 miles per hour. It is some speed y, which we are solving for.

So, the key here is proportional. We can set up two proportions and cross multiply.

\dfrac{x}{2^6} =  \dfrac{15x}{y^6}  \\ (x)(y^6)=(2^6)(15x)

Cancelling our x's (because we don't need to solve for them), we have

y^6 = 15(2^6) = 15(64)=960

To solve for y, we must take the sixth root of both sides, or raise both sides to the one-sixth power.

\sqrt[6]{y^6} =  \sqrt[6]{960}

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700 container 
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