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Tamiku [17]
3 years ago
7

If a cylindrical tank with radius 5 meters is being filled with water at a rate of 3 cubic meters per minute, how fast is the he

ight of the water increasing?
Mathematics
1 answer:
RideAnS [48]3 years ago
7 0
Find the volume
V=hpir^2
v=hpi5^2
v=25hpi
v=78.5398h
for t=1, the amount of water is 3
3=78.5398h
divide both siddes by 78.5398
0.038197=h
this is for 1 minute
0.038197meters per minute or
3.8cm per minute
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Serggg [28]
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And then same for 2 and 3 just divided the bottom by the top and if they all get the same answer they are proportion and if one is not the same then it’s not

For the grids if the dots are line diagonally straight and it starts at the 0 then it’s proportional if not then it’s not

Hope this helps :)
7 0
3 years ago
Write an equation of the line passing through each of the following pairs of points.
slavikrds [6]

Answer:

y=\frac{1}{3}+\frac{13}{3}

Step-by-step explanation:

We want to write the equation of a line that passes through (5, 6) and (-1, 4).

First, let's find our slope. We can use the slope formula:

m=\frac{y_2-y_1}{x_2-x_1}

Let's let (5, 6) be (x₁, y₁) and let's let (-1, 4) be (x₂, y₂). So, our slope is:

m=\frac{4-6}{-1-5}

Subtract:

m=-2/-6

Reduce:

m=1/3

So, our slope is 1/3.

Now, we can use the point-slope form, which is:

y-y_1=m(x-x_1)

For consistency, let's let (5, 6) be (x₁, y₁). We will also substitute 1/3 for m. So:

y-6=\frac{1}{3}(x-5)

Distribute:

y-6=\frac{1}{3}x-\frac{5}{3}

Add 6 to both sides:

y=\frac{1}{3}x-\frac{5}{3}+\frac{18}{3}

Add:

y=\frac{1}{3}+\frac{13}{3}

And we're done!

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3 years ago
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adoni [48]
The step in this problem is do 1/4 + 1/3= ?
and see what you get 
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3 years ago
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sukhopar [10]
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3 years ago
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vfiekz [6]

Step-by-step explanation:

160 + Percentage increase =

160 + (4% × 160) =

160 + 4% × 160 =

104 ÷ 100 × 160 =

104 × 160 ÷ 100 =

8 0
3 years ago
Read 2 more answers
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