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Sladkaya [172]
3 years ago
9

Solve the inequality

Mathematics
1 answer:
shusha [124]3 years ago
4 0

Answer:

x ≥ 7

Step-by-step explanation:

x + 6 ≥ 13

    -6    -6

x ≥ 7

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Answer:

The work done to  pump all of the kerosene from the tank to an outlet is W=45238.9\: J  

Step-by-step explanation:

The work is defined by:

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The force here will be the product between the volume and the kerosene weighing, so we have :

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Where R is the radius (3 feet)                    

Then using (1), we have:

W=\int \pi R^{2}dy*50(8-y)  

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W=\int_{0}^{8} \pi 3^{2}dy*50(8-y)

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W=450\pi(\int_{0}^{8} 8dy-\int_{0}^{8} ydy)

W=450\pi(8y|_{0}^{8} -\frac{y^{2}}{2}|_{0}^{8})  

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W=450\pi(64 -\frac{64}{2})

Therefore, the work done to  pump all of the kerosene from the tank to an outlet is W=45238.9\: J  

I hope it helps you!  

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