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professor190 [17]
3 years ago
7

A swimming pool has to be drained for maintenance. The pool is shaped like a cylinder with a diameter of 10m and a depth of 1.4m

. Suppose water is pumped out of the pool at a rate of 18 m3 per hour. If the pool starts completely full, how many hours will it take to empty the pool?
Mathematics
1 answer:
Volgvan3 years ago
7 0

Answer:

6.1 hrs

Step-by-step explanation:

Volume of the cylinder = pi * (10/2)^2 * 1.4 m^3 = 109.956 m^3

So, time required = 109.953/18 hrs = 6.108 hrs ≈ 6.1 hrs

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10 points! Please help if able!
TEA [102]

The 30/60/90 right triangle is the biggest cliche in trig.  We recall the sides come in ratio 1:\sqrt{3}:2

1:\sqrt{3}:2 = x:y:4\sqrt{2}

First x:

\dfrac x 1 = \dfrac{4 \sqrt{2}}{2}

x = 2 \sqrt 2

Next y:

\dfrac{y}{\sqrt{3}} =\dfrac{x}{1}

y= 2 \sqrt{2} \sqrt{3} = 2 \sqrt{6}

Choice C


3 0
3 years ago
What is the length of line segment VT?<br><br> 4 units<br> 8 units<br> 13 units<br> 14 units
Tom [10]
Is that just the question? I can help you out but it doesn’t make any sense.
6 0
4 years ago
Read 2 more answers
If triangle ABC is rotated 180 degrees, reflected over the y-axis, and reflected over the X-axis, where will point A' lie?
Bumek [7]
The first one (5,-4)
5 0
3 years ago
Read 2 more answers
NetSell, a the TV remote control supplier for Lumyn Electronics, has a weekly production cost of q TV remote controls that is gi
natali 33 [55]

Answer:

a.  \frac{dC(q)}{dq} = 0.000012q^2 -0.06q + 100

b. \frac{dR(q)}{dq}=-0.01q+200

c.

U'(2000)=-0.000012(2000)^2+0.05(2000)+100 = 152

U'(7000)=-0.000012(7000)^2+0.05(7000)+100 = -138

 

Step-by-step explanation:

a) The marginal cost function is given by the derivative of the total cost function, in this way the marginal cost function for this company is:

\frac{dC(q)}{dq} = \frac{dC(q)}{dq} (0.000004q^ 3 - 0.03q ^ 2 + 100q + 75000) = 0.000012q^2 -0.06q + 100

b) The income function is given by the relation R (q) = P (q) q = -0.005q^2 + 200q.

The marginal revenue function for the company is given by the derivative of the revenue function, in this way the marginal revenue function is:

\frac{dR(q)}{dq}= -0.01q+200

 

(c) The profit function of the company is given by the relation U (q) = R (q) - C (q), and the marginal utility function is given by the derivative of the utility function, in this way , the marginal utility function is:

\dfrac{dU(q)}{dq}=R'(q) - C'(q) = -0.01q+200 - (0.000012q^2-0.06q+100) = -0.000012q^2+0.05q+100

When q = 2000, the marginal utility is:

U'(2000)=-0.000012(2000)^2+0.05(2000)+100 = 152

When q = 7000, the marginal utility is:

U'(7000)=-0.000012(7000)^2+0.05(7000)+100 = -138

6 0
3 years ago
Is the given function continuous at x=1?
rusak2 [61]

Answer:

The answer is "Option C".

Step-by-step explanation:

Given:

\to f(x)=2x^2-3x+1\\\\when \ x=1\\\\\to f(1)= 2(1)^2-3(1)+1\\\\\to f(1)= 2(1)-3+1\\\\\to f(1)= 2-3+1\\\\\to f(1)=-1+1\\\\\to f(1)=0

That's why choice C is correct.

3 0
3 years ago
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