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
vovikov84 [41]
2 years ago
9

Show that the maximum rate of change, with respect to radius, of the volume of a deflating balloon is four times the sphere's in

itial great circle circumference
Mathematics
1 answer:
dmitriy555 [2]2 years ago
7 0

Step-by-step explanation:

Let's say R is the initial radius of the sphere, and r is the radius at time t.

The volume of the sphere at time t is:

V = 4/3 π r³

Taking derivative with respect to radius:

dV/dr = 4π r²

This is a maximum when r is a maximum, which is when r = R.

(dV/dr)max = 4π R²

This is 4 times the sphere's initial great circle area, but not the great circle circumference.  The problem statement contains an error.

You might be interested in
Three less than "x" is equal to 13
Arturiano [62]
If you're looking to find X, then X would equal 16, since 16 minus 3 would equal 13
5 0
3 years ago
Read 2 more answers
Someone please help me!
bija089 [108]

Answer:

A = 58

B =:25

Step-by-step explanation:

C = A + B

83 = 9x + 4 + 4x + 1

83 = 13x + 5

13x = 78

x = 78/13

x = 6

A = 9x + 4 = 9 x 6 + 4 = 58

B = 4x + 1 = 4 x 6 + 1 = 25

7 0
2 years ago
What is the measure of KPN?
Debora [2.8K]

Answer:

angle KPN=95 degree

Step-by-step explanation:

angle KPN = angle JPO (because they are vertically opposite angles)

Now,

angle JPO+angle LOP=180 degree(being co interior angles)

angle JPO + 85 =180

angle JPO =180-85

angle JPO =95

since angle JPO is equal to KPN ,angle KPN is 95 degree

6 0
3 years ago
What survival rate in the 10th year would make the average of loss over the 10 year period equal to 38.0%
Marat540 [252]

Answer: 63%

Step-by-step explanation:

<u>First step</u>

Find the 10th year rate of loss that will make the average of loss over the 10 years to equal 38.0%.

Assume this rate is x;

\frac{(36.2 + 29.0 + 46.2 + 37.5 + 40.9 + 40.0 + 32.6 + 40.5 + 40.1 + x)}{10} = 38.0\\\\\frac{343 + x}{10}  = 38\\\\x  = 380 - 343\\\\x = 37

x = 37%

<u>Second step - Survival rate</u>

The survival rate is calculated by;

= 1 - rate of loss

= 1 - 37%

= 63%

7 0
2 years ago
Round 128 to the nearest ten
SSSSS [86.1K]
130, is the answer.. so here's me having to come back and to explain,because this questions is SO hard.
They ask to round to the ten.
128
  ^This is ten, so we look to our right which is eight, is higher than 5. 5 is counted as higher. So 8 is over five and if we round 28, it's 30.
WOW, fascinating.
Thanks Brainly's "monitors" such help. -_-

5 0
2 years ago
Read 2 more answers
Other questions:
  • Help with me 11 please
    7·1 answer
  • Can someone please help
    12·1 answer
  • <img src="https://tex.z-dn.net/?f=%20%7B3r%7D%5E%7B2%7D%20%20-%202%20%3D%2046" id="TexFormula1" title=" {3r}^{2} - 2 = 46" alt=
    13·2 answers
  • Suppose in one year, total revenues from digital sales of pop/rock, tropical (salsa/merengue/cumbia/bachata), and urban (reggaet
    5·1 answer
  • Suppose that the inside bottom of a box is painted with three colors: 1/3 of the bottom area is red, 1/6 is blue, and 1/2 is whi
    7·1 answer
  • Please help - will mark brainlest
    11·1 answer
  • I need help answering this question thank you
    9·1 answer
  • Help what is the quadratic equation because I think I did it wrong
    9·1 answer
  • What is the ratio of the number of days it rained last week to the number of days did not rain
    11·1 answer
  • During the last 4 years, Julius visited 26% of the 50
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!