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
kirill115 [55]
3 years ago
11

The surface area, S, of a sphere of radius r feet is S = S(r) = 4πr^2. Find the instantaneous rate of change of the surface area

with respect to the radius r at r = 8.
Mathematics
1 answer:
vesna_86 [32]3 years ago
4 0
This is the derivative of S with respect to r, evaluated at r=8.
dS/dr = 8πr
Substituting r=8 into the above gives the answer of 64π.
You might be interested in
Case Study 2: Maxing out Matched Savings
zhuklara [117]

Answer:

The computation of the given question is shown below:-

Total Contributions = Monthly contribution + Amount invested in Ferdinand’s 401(k)

= $250 + $125

= $375  

1. Future Value = PMT [((1 + r)n - 1) ÷ r

Future value = 375 × ((1 + 0.03 ÷ 12) × 12 × 40 - 1) ÷ (0.03 ÷ 12)

= $347,272

2. Ferdinand deposit = Given Amount × Total number of months in a year × Number of years

= $250 × 12 Months × 40 Years

= $120,000

3. The Amount put in by the employer = 50% of $250 ×Total number of months in a year × Number of years

= $125 × 12 Months × 40 Years

= $60,000

4. Interest = Future value - Ferdinand deposit - The Amount put in by the employer

= $347,272 - $120,000 - $60,000

= $167,272

Step-by-step explanation:

4 0
2 years ago
Translate this problem to an equation and solve. The area of a patio is 72 square feet. The length of the patio is 1 foot longer
Inessa05 [86]
A = LW
A = 72
L = W + 1

72 = W(W + 1)
72 = W^2 + W
W^2 + W - 72 = 0
(W + 9)(W - 8) = 0

W + 9 = 0
W = -9......extraneous solution...does not work here

W - 8 = 0
W = 8 <==

L = W + 1
L = 8 + 1
L = 9

so the width (W) is 8 ft and the Length is 9 ft
7 0
3 years ago
Match the graph to the related table.
lana66690 [7]

Answer:

Option C

Step-by-step explanation:

Option c is right answer

3 0
3 years ago
Read 2 more answers
Use a number line to arrange these numbers in order from least to greatest:<br> 2, 19, -11, 6, -5
SSSSS [86.1K]

the first one is -11,-5,2,6,19

5 0
3 years ago
4 times a number is decreased by 9, the result is the same as when 15 is added to twice the number. find the number
igor_vitrenko [27]

Answer:

12

Step-by-step explanation:

4*x-9=2x+15

4x-9=2x+15

-2x    -2x

2x-9=15

2x=24

x=12

5 0
2 years ago
Other questions:
  • In the figure below, which term best describes point T?
    12·1 answer
  • PLEASE HELP ME Solve each given equation and show your work. Tell whether it has one solution, an infinite number of solutions,
    8·1 answer
  • Hannas school her to the book donation there are 150 students at her school and they Donated a total of b books Hannah do need i
    14·1 answer
  • What is the root of 64
    14·1 answer
  • You drive from your home to a vacation resort 420 miles away. You return on the same highway. The average velocity on the return
    12·1 answer
  • How many live in the central region?
    7·1 answer
  • Find the area of shaded part, write the answer in simplest form
    9·2 answers
  • Jackson is able to craft in Minecraft A cake is crafted from a recipe that requires 3 milk, 2sugar, 1egg and 3wheat. If Jackson
    9·2 answers
  • In ΔFGH, f = 6.6 cm, g = 3.3 cm and ∠H=6°. Find the length of h, to the nearest 10th of a centimeter.
    10·1 answer
  • NEED HELP!!! BRAINLIEST!!!
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!