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Airida [17]
3 years ago
12

I'M IN A TIMED TEST... HELP PLZ!!!The volume of this sphere is StartFraction 500 pi Over 3 EndFraction cubic inches. What is its

radius? A sphere. Recall the formula Sphere Volume = four-thirds pi r cubed. 3 inches 5 inches 166.7 inches 666.7 inches
Mathematics
2 answers:
Mrac [35]3 years ago
8 0

Answer:

It's B ( just did it )

Step-by-step explanation:

Looked up the answer real quick and the person had the same question with a picture.

It's on Ed2020 it's B

Sati [7]3 years ago
3 0

Answer:

r = 5 inches

Step-by-step explanation:

500pi / 3 = 4/3 pi r cubed

multiply reciprocal

3/4(500pi / 3) = pi r cubed

factor out pi from both sides

3/4(500 / 3) =  r cubed

cube root r

cube rt ( 3/4(500 / 3) ) = r

cube rt ( 3/4(500 / 3) )= 5

r=5

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$5000 is compounded quartely at a rate of 10% . find the total amount in the componded interest account at the end of 20 years.
Luden [163]
A = P (1 +  \frac{r}{n} )^{(nt)}
 is formula for compounded quarterly interest rate.

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4 years ago
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Proving the Parallelogram Diagonal Theorem
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Answer:

The proof is given below.

Step-by-step explanation:

Given a parallelogram ABCD. Diagonals AC and BD intersect at E. We have to prove that AE is congruent to CE and BE is congruent to DE i.e diagonals of parallelogram bisect each other.

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Answer:

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3 years ago
Use the Divergence Theorem to compute the net outward flux of the field F=&lt;-2x,y,-2z&gt; across the surface S, where S is the
lutik1710 [3]

Answer:

The net outward flux across the boundary of the tetrahedron is: -4

Step-by-step explanation:

Given vector field F = ( -2x, y, - 2 z )

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div F = \nabla F = ( \dfrac{\partial }{\partial x }(-2x)+  \dfrac{\partial}{\partial y}(y) + \dfrac{\partial}{\partial z}(-2z))

= -2 + 1 -2

= -3

According to divergence theorem;

Flux = \int \int \int div \ \ (F) \ dv

x+y+z = 2; 1^{st}  Octant

x from 0 to 2

y from 0 to 2 -x

z from 0 to 2-x-y

= \int\limits^2_0 \int\limits^{2-x}_0 \int\limits^{2-x-y}_0 -3dzdydx

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= -3 \int\limits^2_0[(2-x)y - \dfrac{y^2}{2}]^{2-x}__0 \ \ dx

= -3 \int\limits^2_0(2-x)^2 - \dfrac{(2-x)^2}{2} dx

= -3 \int\limits^2_0\dfrac{(2-x)^2}{2} dx = - \dfrac{3}{2} \int\limits^2_0(4-4x+x^2) dx

=- \dfrac{3}{2}(4x-x^2 + \dfrac{x^3}{3})^2_0

=- \dfrac{3}{2}(8-8+\dfrac{8}{3})

=- \dfrac{3}{2}(\dfrac{8}{3})

= -4

Thus; The net outward flux across the boundary of the tetrahedron is: -4

3 0
4 years ago
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