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daser333 [38]
3 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]3 years ago
5 0
Attached the solution and work.

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(Please answer before 5:15 P.M tonight)
taurus [48]

The scale factor of dilation from ABC to A^{1} B^{1} C^{1} is 0.333.

Step-by-step explanation:

Step 1:

First, we plot the coordinates of both triangles.

The coordinates of the triangle A^{1} B^{1} C^{1} are as follows;

A^{1} = (2, 3), B^{1} = (2, 1), and C^{1} = (3, 1).

The coordinates of triangle ABC are;

A = (4, 9), B = (4, 3), and C = (7, 3).

Step 2;

Next, we need to find the distances between at least two coordinates for both triangles.

The distances between vertical lines are found by calculating the difference in y values while for horizontal lines, the distances are found by calculating the difference between the x values.

The distance of A^{1} B^{1} = 3-1=2, the distance of B^{1} C^{1} = 3-2=1.

The distance of AB =9-3=6, the distance of BC = 7-4=3.

Step 3;

To calculate the scale factor, we divide the measurement after scaling by the same measurement before scaling.

In this case, it is the length of the AB.

So The scale factor for AB = \frac{2}{6} = \frac{1}{3} = 0.333.

The scale factor for BC = \frac{1}{3} = 0.333.

7 0
3 years ago
3w+4w-2=12 solve equation
Scilla [17]

Answer:

W= 2

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

7 0
3 years ago
john is 15 years old. john's mom takes him and his younger soster to a football game. tickets are $22 for adults and $16 for chi
oee [108]
Answer: 54$

Explanation:

Total cost = 16 + 16 + 22
Total cost = 32 + 22
Total cost = 54
7 0
3 years ago
I GIVE ANOTHER BRAINLIEST
dlinn [17]

Answer:

Answer Below

Step-by-step explanation:

Triangle #1

To solve this answer we need to multiply then <em>divide by 2</em>

3 x 8=24

24 ÷ 2=12

12

Triangle #2

Now we do the same thing!

3 x 8=24

24 ÷ 2=12

12

Rectangle #1

<em>Now we solve for the rectangle!</em>

6 x 8 = 48

48

Now we add all these together!

12 + 12 + 48 = 72

<em>The answer is D. 72 Square Units</em>

8 0
2 years ago
Read 2 more answers
Given C=n+15, determine the value of C when n=4
puteri [66]

Answer: c=19 and n=4

please mark as brainliest  if it helped

6 0
2 years ago
Read 2 more answers
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