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
Anna007 [38]
3 years ago
13

A spherical balloon is inflated with gas at the rate of 600 cubic centimeters per minute. How fast is the radius of the balloon

increasing at the instant the radius is 30 centimeters? ( Vsphere = 4pi/3 * radius^3)
Mathematics
1 answer:
Ede4ka [16]3 years ago
5 0
Considering the ballon to be spherical
It's volume is given by 4/3(π r^3) by differentiating volume with respect to time we get rate of change of volume hence,
4πr^2(dr/dt)=600÷60=10
Substituting r=30cm
4π(30)*(30)(dr/dt)=10
dr/dt=rate of increase in bullion's radius=1/(360π)cm/s
You might be interested in
Which situations can be presented by an exponential function?
Evgesh-ka [11]

Answer:

It’s C and D I just finished the text and finished with 100% thanks to the person in the comments in the question below

Step-by-step explanation:

3 0
4 years ago
Read 2 more answers
Ayuda es para hoy
vichka [17]

Answer:

1,166 frascos

Step-by-step explanation:

4500 -2456=2044

2044 - 1678=366

366 + 800= 1166

6 0
3 years ago
So i called a friend a brat as a joke but shes mad at me now what do i do
Dmitry_Shevchenko [17]
You could apologize
3 0
3 years ago
(b) A department store has 7,000 charge accounts. The comptroller takes a random sample of 36 of
galben [10]

Answer:

a.0.8664

b. 0.23753

c. 0.15866

Step-by-step explanation:

The comptroller takes a random sample of 36 of the account balances and calculates the standard deviation to be N42.00. If the actual mean (1) of the account balances is N175.00, what is the probability that the sample mean would be between

a. N164.50 and N185.50?

b. greater than N180.00?

c. less than N168.00?

We solve the above question using z score formula

z = (x-μ)/σ/√n where

x is the raw score,

μ is the population mean = N175

σ is the population standard deviation = N42

n is random number of sample = 36

a. Between N164.50 and N185.50?

For x = N 164.50

z = 164.50 - 175/42 /√36

z = -1.5

Probability value from Z-Table:

P(x = 164.50) = 0.066807

For x = N185.50

z = 185.50 - 175/42 /√36

z =1.5

Probability value from Z-Table:

P(x=185.50) = 0.93319

Hence:

P(x = 185.50) - P(x =164.50)

= 0.93319 - 0.066807

= 0.866383

Approximately = 0.8664

b. greater than N180.00?

x > N 180

Hence:

z = 180 - 175/42 /√36

z = 5/42/6

z = 5/7

= 0.71429

Probability value from Z-Table:

P(x<180) = 0.76247

P(x>180) = 1 - P(x<180) = 0.23753

c. less than N168.00?

x < N168.

z = 168 - 175/42 /√36

z = -7/42/6

z = -7/7

z = -1

Probability value from Z-Table:

P(x<168) = 0.15866

4 0
3 years ago
Put 97.69 in word form
bonufazy [111]

Your answer would be <u>Ninety seven and sixty ninths.</u> Hope this helps!

3 0
4 years ago
Other questions:
  • Which of the following is the best definition of probability
    14·1 answer
  • I have no idea how to do parabolas plz help
    11·1 answer
  • What is the common difference in the following arithmetic sequence
    15·1 answer
  • Solve 2lyl+8=8 please help
    15·1 answer
  • Evaluate 3(x-1)^2 if x=4
    8·1 answer
  • 1<br> Sam can run 8 miles in 2 hours. At this rate, how far will he be in 9 hours.
    14·1 answer
  • Whats 652-387 <br> Please help im not good at math
    9·2 answers
  • Need answer fast
    15·2 answers
  • Which table has greater constant of proportionality?
    7·1 answer
  • Help me with this question please!! :)
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!