1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
klemol [59]
3 years ago
11

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 = 4.
Mathematics
1 answer:
Nataliya [291]3 years ago
3 0
<span>At t = 1: The radius is 3(1) = 3 The volume is 4/3 π(3)^3 = 113 At t = 4: The radius is 3(4) = 12 The volume is 4/3 π(12)^3 = 7238 We can find the change in the volume: The change in volume is 7238 - 113 = 7125 The change in volume occurred during a time of 3 seconds. To find the average rate of change in the volume, we need to divide the change in the volume by the time. average rate of change = 7125 / 3 = 2375 The average rate of the change in the volume is 2375 (The units should be (m^3/s) or (ft^3/s) or (cm^3/s) etc...)</span>
You might be interested in
The first term of a geometric sequence is 7, and the ratio (multiplier) is 3. what is the sum of the first 5 terms of the sequen
Anni [7]
Hello,

1)
a_{1}=7
a_{2}=7*3
a_{3}=7*3^2

a_{n}=7*3^{n-1}

s=a_{1}+a_{2}+a_{3}+a_{4}+a_{5}=7*(1+3^1+3^2+3^3+3^4)
=7*\frac{3^{5}-1}{3-1}
=7*242/2=847

2)
b_{8}=6*8^{8-1}=12582912




















4 0
4 years ago
Does anyone get this question plss
a_sh-v [17]

Answer:

D)  1.0

Step-by-step explanation:

if y = 1 then x = 1

6 0
3 years ago
The area of a trapezoid is 168cm2. The height is 16cm and the length of one of the parallel sides is 9cm. Find the length of the
dmitriy555 [2]

Answer:

12 cm

Step-by-step explanation:

The formula for the area of a trapezoid is written as:

1/2(b1 + b2)h

h = height = 16 cm

b1 = Length of one parallel side = 9cm

b2 = Length of second parallel side = ?

Area of trapezoid = 168cm²

The formula to find the length of the second parallel side =

b2 = 2A/h - b1

b2 = 2 × 168/16 - 9

b2 = 336/16 - 9

b2 = 21 - 9

b2 = 12cm

Therefore, the length of the second parallel side is 12 cm

3 0
3 years ago
Mary has an equal number of dimes and quarters. If she has $2.10 in all, how many coins of each does she have?
77julia77 [94]

Answer:

Step-by-step explanation:

4 quarters

1 dime

6 0
3 years ago
Please help answer ASAP
sweet-ann [11.9K]
0.77875...

which, I'm assuming, they want you to round to the nearest hundredth? So, .78?...
6 0
3 years ago
Read 2 more answers
Other questions:
  • (4x – 1) + (–6x + 3)
    11·2 answers
  • Chad jogs 4 2/5 miles in 1/2 hour. What is his average speed in miles per hour?
    14·1 answer
  • Please help!!!!! <br> Which defines the piecewise function shown?
    11·2 answers
  • My Dog is sick :)((((((((((((((((((((
    13·2 answers
  • Use the graph to solve the system of linear equations.<br> x+y=5<br> y – 2x = -4
    7·1 answer
  • Paul, who is self employed, placed $30,000 in an account that pays 6% annual interest, compounded quarterly. How much interest w
    6·1 answer
  • If 36^12-m=6^2m, what is the value of m? 4,6,8,9
    8·2 answers
  • Help me please please help u will get points
    14·2 answers
  • 1 basic algebreh im sloe hlp me
    10·2 answers
  • NEED ANSWER ASAP pls
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!