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Shkiper50 [21]
3 years ago
9

A cruise ship is currently 20 kilometers away from its port and is traveling away from the port at 5 kilometers per hour . The f

unction is y=5x +20 relates the number of kilometers y the ship will be from its port x hours from now. How far will the cruise ship be from its port 3 hours from now
Mathematics
1 answer:
Dafna1 [17]3 years ago
7 0

Answer:

You can do this. It's actually pretty simple

Step-by-step explanation:

You are given 3 hours. and you re told 5 kph or kilometres per hours.

3 replaces the x variable. You can take it from there and for sure you'll get the answer you want for y

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Step-by-step explanation:

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3 years ago
A vertical right circular cylindrical tank has height h=8 feet high and diameter d=6 feet. It is full of kerosene weighing 50 po
Mariana [72]

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:

W=\int dFdx (1)    

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

dF=\pi R^{2}dy*50

This force will be in-lbs.

Where R is the radius (3 feet)                    

Then using (1), we have:

W=\int \pi R^{2}dy*50(8-y)  

Here 8-y is a distance at some point of the tank. Now, to get the work done from the base to the top of the tank we will need to take integral from 0 to 8 feet.

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

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

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

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

W=450\pi(8*8 -\frac{8^{2}}{2})

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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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The graph represents part of Brooke's trip to work. During what time period is her speed decreasing?
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B. Between 20 and 25 minuets

Brooke's speed is decreasing between 20 and 25 minutes. According to the graph Brooke's speed is decreasing during that time period.

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Answer:

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Step-by-step explanation:

Cross multiply to get:

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Answer:

What did you do? What is this mess but thanks for the points

Step-by-step explanation:

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