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ozzi
2 years ago
10

A 14.1 liter fish tank is being filled by 2 water faucets. Water flows out of Faucet A at the rate of 140 milliliters per minute

. Water flows out of Faucet B at the rate of 100 milliliters per minute. How long will it take the two faucets to fill the fish tank completely? (1 liter = 1000 milliliters)
Mathematics
1 answer:
Airida [17]2 years ago
5 0

Answer:

58.75 minutes

Step-by-step explanation:

It is given that the volume of the fish tank is 14.1 liter = 14.1 × 1000 milliliters

Volume of water flows out from faucet A in one minute = 140 milliliters

Volume of water flows out from faucet B in one minute = 100 milliliters

Total volume of water flows out from both the faucets = 140 + 100 = 240 milliliters

Time taken to fill the tank = \frac{Volume of the fish tank}{Volume of water flows out from both faucets}

= \frac{14.1(1000)}{240}

= 58.75 minutes

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Compute the flux H F of F(x,y) = hxy, x − yi across the boundary of the square given by −1 ≤ x ≤ 1, −1 ≤ y ≤ 1.
Softa [21]

Answer:

4i.

Step-by-step explanation:

To find the flux through the square, we use the divergence theorem for the flux. So Flux of F(x,y) = ∫∫divF(x,y).dA

F(x,y) = hxy,x - yi

div(F(x,y)) = dF(x,y)/dx + dF(x,y)dy = dhxy/dx + d(x - yi)/dy = hy - i

So, ∫∫divF(x,y).dA = ∫∫(hy - i).dA

= ∫∫(hy - i).dxdy

= ∫∫hydxdy - ∫∫idxdy

Since we are integrating along the boundary of the square given by −1 ≤ x ≤ 1, −1 ≤ y ≤ 1, then

∫∫divF(x,y).dA = ∫₋₁¹∫₋₁¹hydxdy - ∫₋₁¹∫₋₁¹idxdy

= h∫₋₁¹{y²/2}¹₋₁dx - i∫₋₁¹[y]₋₁¹dx

= h∫₋₁¹{1²/2 - (-1)/2²}dx - i∫₋₁¹[1 - (-1)]dx

= h∫₋₁¹{1/2 - 1)/2}dx - i∫₋₁¹[1 + 1)]dx

= 0 - i∫₋₁¹2dx

= - 2i[x]₋₁¹

= 2i[1 - (-1)]

= 2i[1 + 1]

= 2i(2)

= 4i  

7 0
3 years ago
If each interior angle of the regular polygon measures 168º, how many sides does the polygon have?
iogann1982 [59]

Answer: Hello, there! Sorry Im late But your answer is Below

30 sides Would be the correct answer

Step-by-step explanation:

t has 30 sides. The formula (n-2)×180 can be used to find the sum of the interior angles of ANY polygon where n is the number of sides in the polygon.

Hope this Helps!!

Have a great day!!!

5 0
3 years ago
PLEASE HELP ME, I HAVE NO IDEA!
ivanzaharov [21]

b is 14 for sure

you are welcome to ask me anything



3 0
3 years ago
How many times does 7 go into 163
marusya05 [52]

Answer:

7 goes into 163 23 times.

Step-by-step explanation:

You can find this answer by dividing 163 and 7 which would lead you to 23, with some remainder.

5 0
3 years ago
Read 2 more answers
A ant traveled 8 meters in 10 minutes. How many minutes did it take him to travel one meter?
notka56 [123]

Answer:

1 1/4 minutes of 75 seconds

Step-by-step explanation:

10/8 = 5/4 = 1 1/4

5 0
3 years ago
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