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
d1i1m1o1n [39]
4 years ago
11

Please help me with this question

Mathematics
1 answer:
IgorC [24]4 years ago
3 0

Answer:

Step-by-step explanation:

Haven't seen a related rates problem in a while! These are fun!  Not too bad when you keep your stuff organized.  First, label what you've been given.  If the radius is decreasing, then we have

\frac{dr}{dt}=-.2

We are told to find \frac{dV}{dt} when r = 9.

Now we have to find the derivative of the volume of a sphere using implicit differentiation.  The derivative is

\frac{dV}{dt}=\frac{4}{3}\pi3r^2\frac{dr}{dt}

It looks like we have everything we need to solve for the unknown.  The derivative is even already set up to solve for the change in volume.  All we have to do now is plug in the values.

\frac{dV}{dt}=\frac{4}{3}\pi3(81)(-.2)

This does give us a negative number, -203.575 to be exact, but if you answer it without the negative, you say that the volume is decreasing at the rate of 203.575 cm/min cubed

You might be interested in
A pyrotechnician plans for two fireworks to explode together at the same height in the air. They travel at speeds shown below. F
ICE Princess25 [194]

Answer:

both fireworks will explode 4.5 seconds after  Firework B launches

Step-by-step explanation:

Given;

speed of firework A, V_A= 360 ft/s

speed of firework B, V_B = 340 ft/s

If the two fireworks explodes at the same height, then the height attained by the two fireworks are equal.

let the distance traveled by each firework before explosion = d

Distance = speed x time

Distance A = Distance B

speed A x time = speed B x time

let the time both fireworks explodes after Firework B launches = t

(V_A) t = (V_B ) t

360t = 340t

if firework B is launched 0.25 s before Firework A, for the time of the two fireworks to be equal since we are considering time (t) after 0.25 seconds, we will have;

360(t-0.25) = 340t

360t  - 90 = 340t

360 t - 340 t = 90

20 t = 90

t = 90/20

t = 4.5 seconds

Therefore, both fireworks will explode 4.5 seconds after  Firework B launches

7 0
3 years ago
What are the solutions to this equation: 5x^2-8x=0
vlabodo [156]
Simplifying the exponents will help you multiply, then subtract, and then the equation is easy to solve

7 0
3 years ago
Read 2 more answers
The difference between 3 times a number and 21
Over [174]

Answer:

3 times 7 = 21

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Please help!!! right now
Ymorist [56]

To find the rate of change, we must find the unit rate, or the amount of savings added per month. To find this, we can divide the amount changed from month 4 to month 1 from the amount of months, resulting in (415-160)/3=85 as our rate of change. This means that every month, the amount of money in Brent's savings account adds by 85. Next, the initial value is the starting value, and that is how much money Brent has at month 0. After one month of saving, Brent has 160 dollars. However, he must have added 85 dollars from his starting amount to get 160 dollars after one month of saving. Therefore, 160-85=75 as our starting amount. This means that Brent started with 75 dollars in his account.


Feel free to ask further questions, and Happy Holidays!

8 0
3 years ago
A line is perpendicular to y = 4x - 2<br> and intersects the point (4, -11).
Romashka-Z-Leto [24]

Answer:

no idea what you are asking

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Other questions:
  • What's the difference between an algebraic vector and a geometric vector?
    6·1 answer
  • Write an equation in slope - intercept to represent the relationship in the table
    10·1 answer
  • There are more cups in 5 gallons than in 22 quarts true or false?
    6·1 answer
  • Mr young has 30 times as many pencils as jack. The whole class has 200 times as many pencils as jack. If jack has 2pencils, how
    7·1 answer
  • 1. Nolan purchased a shirt at store A. He paid $17.50 for the shirt. Scott purchased the same shirt at store B for $20.95. How m
    6·2 answers
  • Can you flip a ratio?
    13·2 answers
  • Write an equation for the nth term of the given arithmetic sequence:15, 29, 43, 57, ....
    12·1 answer
  • A triangular parcel of land has side lengths of 100, 580, and 600 feet. Approximate the area of the land. Round your answer to t
    5·1 answer
  • Copy and complete the input- output table for the function please help fast
    5·1 answer
  • A brownie recipe calls for 1 cup of sugar and 12 cup of flour to make one batch of brownies. To make multiple batches, the equat
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!