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LenKa [72]
3 years ago
14

If 1/2 gallon of paint covers 1/12 of a wall then how much paint is needed for the entire wall

Mathematics
1 answer:
netineya [11]3 years ago
5 0

1/2 gallon of paint covers 1/12 of a wall , 12 times as much paint will cover 12 times the area you can solve this by 12*1/2=6.

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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
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SOVA2 [1]

Answer:

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Step-by-step explanation:

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5 0
3 years ago
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devlian [24]

Answer:

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Step-by-step explanation:

75 × 75 = 5625

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6 0
3 years ago
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yan [13]

Answer:

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Step-by-step explanation:

The factors of 168 are: 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

The factors of 196 are: 1, 2, 4, 7, 14, 28, 49, 98, 196

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