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daser333 [38]
2 years ago
12

The volume of a spherical hot air balloon v(r) = 4/3 πr^3 changes as its radius changes. the radius is a function of time given

by r(t) = 3t. find the average rate of change of the volume with respect to t as t changes from t = 1 to t = 2.

Mathematics
1 answer:
Tanya [424]2 years ago
5 0
Attached the solution and work.

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Write an equation that represents the line. Use exact numbers.
ioda

Answer:

y = -1/2 x - 3 1/2

Step-by-step explanation:

points (1, -4)   (3,-5)

slope = (y2-y1)/ (x2-x1)

slope = (-5--4)/(3-1)

          = (-5+4) /2

            =-1/2


point slope form of a line

y-y1 = m(x-x1)

y--4 = -1/2 (x-1)

y+4 = -1/2 (x-1)


if we want slope intercept form

distribute

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subtract 4 from each side

y+4-4 = -1/2 x + 1/2 -4

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3 0
3 years ago
-9(y+3) = 2y+39<br>Simplify your answer as much as possible.​
Viktor [21]

-9y-27=2y+39

Add 9y on both side

-27=11y+39

Sub 39 from each side

-66=11y

y=-6 Ans,,

4 0
3 years ago
Read 2 more answers
ere is a picture of a cube and the net for this cube. What is the surface area of this cube? A. 1,350 mm2 B. 450 mm2 C. 225 mm2
lord [1]
Hello!

To find the surface area of a cube you do 6a^{2} where "a" is the length of one of the sides.

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the answer is 1350mm^{2}

Hope this helps!
8 0
2 years ago
during Sonia's trip across the country that she travel 2884 miles her trip took 7 Days find a unit rate to represent the average
wolverine [178]
You could find the unit rate by dividing 2884 miles by 7 days to get 412 miles/ day
6 0
3 years ago
Danny and Mark and Evans ages combined is 80. What was there combined age three years ago?
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Since there are three kids, 3x3=9. 80-9=71.  Danny and Mark and Evans ages combined is 71 years
8 0
2 years ago
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