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Tom [10]
3 years ago
14

g A water tank has a square base with each side of length 5 meters. Water enters through a hose at a constant rate of 20 liters

per minute. At the same time a valve in the bottom is opening, so that after t minutes, water leaves at a rate of t liters per minute. If the tank starts out filled to a depth of 5 meters, after how many minutes will the tank be empty
Mathematics
1 answer:
WINSTONCH [101]3 years ago
5 0

Answer:

221 minutes

Step-by-step explanation:

It's a known fact that

1 m³ = 1000 L

W(t) = 2*2*5 m^3 + 20t - t²/2

W(t) = 20 + 20t - t²/2, on differentiating, we have

-0.5² + 20t + 20000 = 0, and

t = [40 +- √161600] / 2

= 20 + 20√101 for t > 0

so t = 221 minutes

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Im in algebra II honors and right now we are working on parabolas and quadratic equations. Can someone help me understand how to
Maurinko [17]

f (x) = a(x - h)2 + k, where (h, k) is the vertex of the parabola. FYI: Different textbooks have different interpretations of the reference "standard form" of a quadratic function.

The standard form of a parabola is y=ax2++bx+c , where a≠0 . The vertex is the minimum or maximum point of a parabola. If a>0 , the vertex is the minimum point and the parabola opens upward. If a<0 , the vertex is the maximum point and the parabola opens downward.

8 0
3 years ago
How many 1/2cups are in 7/8cups
frozen [14]

Answer:

Step-by-step explanation:

7/8) / (1/2) .when dividing fractions, flip what u r dividing by, then multiply

7/8 * 2 = 14/8 = 1 3/4 <==

4 0
3 years ago
Camden is working two summer jobs, making $10 per hour babysitting and making $18 per hour lifeguarding. In a given week, he can
nirvana33 [79]

Answer:

2 hours babysitting

Step-by-step explanation:

First you would multiply 14 by 9 and you would get 162

Then you would Subtract 180 by 162 and you would get 18

So than you would keep on multiplying 10 till you get 20 which would be 2

So therefore your answer would be 2

5 0
3 years ago
How did they get the answer 30 for this equation? √2 × √15 = ?
dolphi86 [110]

Answer:

wrong answer.

Right answer: √30 ≈ 5.48

Step-by-step explanation:

The answer for √2 × √15 is not 30, that answer is wrong

√2 × √15 = √2*15 = √30 ≈ 5.48

Hope this help you :3

3 0
3 years ago
Need help thank you very much
Zarrin [17]

Answer:

a)  -    9/2   or   -0,45

b)  -   3/5    or -0,6

c)   -4

d)  1

e)  -2

d)  0

Step-by-step explanation:

4 0
3 years ago
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