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
Greeley [361]
3 years ago
10

A circular plate is being heated. Its radius is increasing at the rate of 0.02 in/min. At what rate is the area of the plate inc

reasing at the instant when the radius is 6 inches.
Mathematics
1 answer:
Evgen [1.6K]3 years ago
5 0

Answer:

\frac{dA}{dr} =2\pi (6in) (0.02 \frac{in}{min})=0.754 \frac{in^2}{min}

Step-by-step explanation:

Data given

\frac{dr}{dt}= 0.02 \frac{in}{min}

r = 6 in

Solution to the problem

We know that the area for a circle is given by:

A= \pi r^2

We want to find at what rate is the area of the plate increasing at the instant when the radius is 6 inches. So we need to take partial derivates in both sides of the equation for the area, and if we do this we got:

\frac{dA}{dr} = 2\pi r \frac{dr}{dt}

Since we have all the values provided we just need to replace and we got:

\frac{dA}{dr} =2\pi (6in) (0.02 \frac{in}{min})=0.754 \frac{in^2}{min}

You might be interested in
Please help me asap ​
Alex_Xolod [135]
The answer would be C
3 0
3 years ago
Members of a lacrosse team raised $1352.50 to go to a tournament. They rented a bus for $802.50 and budgeted $25 per player for
Alecsey [184]

Answer: 22

Step-by-step explanation:

From the question the, we are informed that members of a lacrosse team raised $1352.50 to go to a tournament and that they rented a bus for $802.50 and budgeted $25 per player for meals.

The equation which can be used to determine p, the number of players the team can bring to the tournament would be calculated as:

802.50 + 25p = 1352.50

25p = 1352.50 - 802.50

25p = 550

p = 550/25

p = 22

They can bring 22 players to the tournament

3 0
3 years ago
Read 2 more answers
Easy questions pls help (question in picture)
lisabon 2012 [21]

Answer:

1. P= 80

60/.75=80

2. x= 5/3

-27/25x / -27/25= -9/5 / -27/25

-9/5 / -27/25 --- -9/5 x -25/27

3. -300

-2.7/-2.7 = 810/-2.7

4. 120

84x100/70

<u>84/x = 70/100</u>

6 0
4 years ago
Read 2 more answers
Which best describes the relationship between the successive terms in the sequence shown? 9, –1, –11, –21, … The common differen
storchak [24]
The difference is -10 because

9-10= 1
-1-10= -11
-11-10= -21

common difference means you add and common ratios means you multiply.

hope this helps!
5 0
4 years ago
Read 2 more answers
The radius r of a sphere is 12 units. Find the volume of the sphere. Write your answer in terms of pie
Tamiku [17]

https://socratic.org/questions/what-is-the-volume-of-a-sphere-with-a-radius-of-12-units

the answer is on here

6 0
3 years ago
Other questions:
  • The volume of a prism is 45 km3. What would change if the volume of the prism were measured in cubic meters?
    9·1 answer
  • Fred is going to take a flight from miami
    10·1 answer
  • What is the answer???scientific notation<br> 4^5x4^3
    10·1 answer
  • What is the following product?
    10·1 answer
  • What’s 16+5x+x=1+3x ??
    6·1 answer
  • PLZZZ DO THE PROBLEM THAT HAS THE ORANGE RECTANGLE PLZZZZZZZZZZZ!!!!!!
    10·2 answers
  • Find the equation of a line that passes through A(3, 5) and with slope m=4
    13·2 answers
  • Solve each by elimination<br> x+y =19<br> x - y = -7
    12·2 answers
  • Choose the symbol that correctly compares the fractions below. 1/6 ? 4/5
    14·2 answers
  • Can someone please help me with this question
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!