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olya-2409 [2.1K]
3 years ago
14

An aquarium 2 m long, 1 m wide, and 1 m deep is full of water. Find the work needed to pump half of the water out of the aquariu

m. (Use 9.8 m/s2 for g and the fact that the density of water is1000 kg/m3.)Show how to approximate the required work by a Riemann sum. (Let x be the height in meters below the top of the tank. Enter xi* as xi.)lim n ? ?
Mathematics
1 answer:
loris [4]3 years ago
6 0

Answer:

Workdone = 2450Joules

Step-by-step explanation:

Let the top of the aquarium be at height 0.

Let the bottom of the aquarium be at height 1

F = mg = 2p◇x × g

F= 2000◇x × 9.8

F = 19600◇x

Workdone = 19600xdx

Total workdone = Integral (limits 0.5 -0)19600×dx

Total work = [9800x^2]^0.5

Total work= 9800× 0.5^2 = 2450 Joules

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PLZZZ HELPP NOWWWWW......
andreyandreev [35.5K]

Answer:

3.5% of 20, (0.035)*20, and 7% of 10

Step-by-step explanation:

Converting the mixed number (3 1/2) to a decimal yields 3.5, so 3.5% of 20 is correct.

3 1/2 is not equal to 3 1/2%, so 3 1/2 * 20 is not correct.

Converting the percentage to a decimal yields .035 which makes .35 too large, so (0.35) * 20 is not correct.

Changing the percentage to a decimal yields .035, so (0.035) * 20 is correct.

If you divide 20 by 2, you get 10, and if you multiply 2 by 3 1/2, you get 7. The 2 remains part of the expression, so it is equal to 3 1/2 of 20.

4 0
3 years ago
O. Shannon's hair is 12 inches long and grows 0.25 inch per
wariber [46]

Answer:

0.25 (inches?)

Step-by-step explanation:

the equation is:

y=mx+b

y is the length of her hair, the dependent variable, the outcome

m is the slope, which is in this case the growth of her hair in a month

x is the independent variable, or the number of months

b is how long her hair is to start with, which is 12 in

we are looking for m, which is the growth of her hair per month, which is given as 0.25 inches, so that would be the answer

3 0
4 years ago
Please can someone help me
Gnom [1K]

Answer:

Trapazoid ABD was reflected across the y-axis and translated 7 units up

Step-by-step explanation:

Trapazoid ABD was reflected across the y-axis and translated 7 units up

I think . . .check it tho because

you flip it across the y axis and then move it up 7

5 0
3 years ago
Answer and explanation please. ty
larisa [96]
Answer
0.47qt a sec
Reason
Convert the gallons to quart using the formula “q=4g”
q=4(7)= 28
So we learn that it’s 28 quarts a minute. To figure it out by the second divide by 60.
28 divided by 60 equals 0.4667
Round to the nearest hundredth and it equals
0.47
There for it is 0.47 quarts a second.
6 0
4 years ago
How do i find the area of a trapezoid (pictures provided)
scoray [572]

Answer:

(10x - 5) square units.

Step-by-step explanation:

Let the lengths of equal sides be x units.

Hence, AB + AD + DC = x + x + x = 3x

Therefore, BC = 3x - 2

Area  \: of \:  trapezoid  \\ =  \frac{1}{2} (AD + BC)  \times 5 \\  = \frac{1}{2} (x + 3x - 2)  \times 5  \\ = \frac{1}{2} (4x - 2)  \times 5  \\ = \frac{1}{2} \times 2 (2x - 1)  \times 5  \\  = (2x - 1) \times 5 \\  = (10x - 5) \:  {units}^{2}

5 0
3 years ago
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