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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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Determine whether each ordered pair is a solution to the inequality x+y>−2.
sweet [91]
<h3>3 Answers:</h3>
  • Choice A.  (10, -1)
  • Choice B.  (-8, 9)
  • Choice D.  (6, -3)

===================================

Explanation:

If we plug the coordinates of point A into the inequality, then we get

x+y > -2

10 + (-1) > -2

9 > -2

That last inequality is a true statement since 9 is to the right of -2 on the number line. That means (10,-1) is a solution. Choice A is one of the answers

Choices B and D are also answers for similar reasons.

Something like choice C is not a solution because

x+y > -2

-1+(-9) > -2

-10 > -2

which is false

You should find that choice E is false as well.

---------------------

If you graphed the inequality and all of the points mentioned (see below), then you can visually confirm the answers. Notice how points A, B and D are in the blue shaded region which is the solution set.

The point E on the boundary does not count as a solution. This is due to the lack of "or equal to" portion of the inequality sign. That visually shows point E is not a solution. Point C isn't a solution either as it's nowhere near the blue shaded region.

4 0
3 years ago
Find the value of x to the nearest tenth.
Anton [14]

44+44+21+21+50+3×-2 =181

4 0
3 years ago
Which of the following represents the zeros of f(x) = 2x3 − 5x2 − 28x + 15?
Mariulka [41]
678-9882

87299

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4 0
3 years ago
What is the coefficient of x2 in the expansion of (x + 2)3?
wolverine [178]
One way is that you can just factor it out: (x+2)(x+2)(x+2)
For the first pair, you get x^2+4x+4.
Then do (x^2+4x+4)*(x+2)
That will be x^3+6x^2+12x+8
So the answer is 6
4 0
3 years ago
4000 / 19=<br>4000 / 19=​
katrin2010 [14]

Answer:

210.53

Step-by-step explanation:

here

hope it helps

7 0
2 years ago
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