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2 years ago

Alyssa used 12 gallons of white paint for the ceiling of her kitchen and 13 gallons of white paint for her bedroom. She used

Mathematics

1 answer:

Arturiano [62]2 years ago

6 0

She used 10 more gallons of green paint

Hope this helps if it does yourwelcome

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Paul and his best friend found some money in an envelope. They split the money evenly, each getting $21. How much money did they

Elena-2011 [213]

Answer:

Step-by-step explanation: if they split the money evenly than all you have to do is add 21 plus 21

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2 years ago

Which value of k makes the equation k2=10k2=10 true?20<br> 20<br> 12<br> 8<br> 5

madreJ [45]

Answer:

Step-by-step explanation:

4 0

2 years ago

2. f(8) if f(x) = x + 11

zysi [14]

$f(8)=8+11=19$

5 0

2 years ago

Answer pleaseee!!! There is a screen shot attached!

anastassius [24]

Answer:

7/33 = 21 repeating and I'm pretty sure the question wants you to write it as an improper fraction. so your answer would be 40/33

Step-by-step explanation:

5 0

2 years ago

Evaluate the surface integral ∫sf⋅ ds where f=⟨2x,−3z,3y⟩ and s is the part of the sphere x2 y2 z2=16 in the first octant, with

skad [1K]

Parameterize S by the vector function

$\vec s(u,v) = \left\langle 4 \cos(u) \sin(v), 4 \sin(u) \sin(v), 4 \cos(v) \right\rangle$

with 0 ≤ u ≤ π/2 and 0 ≤ v ≤ π/2.

Compute the outward-pointing normal vector to S :

$\vec n = \dfrac{\partial\vec s}{\partial v} \times \dfrac{\partial \vec s}{\partial u} = \left\langle 16 \cos(u) \sin^2(v), 16 \sin(u) \sin^2(v), 16 \cos(v) \sin(v) \right\rangle$

The integral of the field over S is then

$\displaystyle \iint_S \vec f \cdot d\vec s = \int_0^{\frac\pi2} \int_0^{\frac\pi2} \vec f(\vec s) \cdot \vec n \, du \, dv$

$\displaystyle = \int_0^{\frac\pi2} \int_0^{\frac\pi2} \left\langle 8 \cos(u) \sin(v), -12 \cos(v), 12 \sin(u) \sin(v) \right\rangle \cdot \vec n \, du \, dv$

$\displaystyle = 128 \int_0^{\frac\pi2} \int_0^{\frac\pi2} \cos^2(u) \sin^3(v) \, du \, dv = \boxed{\frac{64\pi}3}$

8 0

2 years ago