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
Papessa [141]
3 years ago
5

The radius r of a circle is increasing at a rate of 7 centimeters per minute. (a) find the rate of change of the area when r = 1

2 centimeters.
Mathematics
1 answer:
VikaD [51]3 years ago
5 0
Dr /dt = 7

A = pi r^2

dA / dr = 2pir

dA/dt = dA/dr  * dr/dt = 2pir * 7  = 14pir

when r = 12   rate of change of the area =  14*pi*12  =  168pi

            =  527.79 cm^2 / minute to nearest hundredth
You might be interested in
The number of gallons of gas in the tanks plus 7 more adds up to 12 gallons
Sunny_sXe [5.5K]
If the question is asking how much gas there was before it would be 5 gallons. Im confused on what you want for the answer.
7 0
3 years ago
Read 2 more answers
8.23 A manufacturing company produces electric insulators. You define the variable of interest as the strength of the insulators
Kitty [74]

Answer:

The 95% confidence interval estimate for the population mean force is (1691, 1755).

Step-by-step explanation:

According to the Central Limit Theorem if we have an unknown population with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from the population with replacement, then the distribution of the sample mean will be approximately normally.

The sample selected here is <em>n</em> = 30.

Thus, the sampling distribution of the sample mean will be normal.

Compute the sample mean and standard deviation as follows:

\bar x=\frac{1}{n}\sum x=\frac{1}{30}\times 51702=1723.4\\\\s=\sqrt{\frac{1}{n-1}\sum (x-\bar x)^{2}}=\sqrt{\frac{1}{30-1}\times 232561.2}=89.55

Construct a 95% confidence interval estimate for the population mean force as follows:

CI=\bar x\pm z_{\alpha /2}\times\frac{s}{\sqrt{n}}

    =1723.4\pm 1.96\times\frac{89.55}{\sqrt{30}}\\\\=1723.4\pm 32.045\\\\=(1691.355, 1755.445)\\\\\approx (1691, 1755)

Thus, the 95% confidence interval estimate for the population mean force is (1691, 1755).

3 0
3 years ago
Please help I’ll mark you as brainliest if correct
Dominik [7]

Answer:

25%

Step-by-step explanation:

5 0
3 years ago
Please help me with this ok Brainliests.<br>​
PilotLPTM [1.2K]

Answer:

Part 2

A. 10

B. 20

C. 15.4

Part 3

A. 96

B.96

C.24

D. 12

Step-by-step explanation:

I am not sure of the last part but I hope the first to help you

for the area of a triangle it is b*h*1/2 and for a rectangle it is bh

3 0
2 years ago
Simplify the following expression: (x + 6y) − (3x − 10y). If the final answer is written in the form Ax + By, what is the value
Ksju [112]

-2

becasue we

-2x-4y

-2 = A

7 0
3 years ago
Read 2 more answers
Other questions:
  • <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B7%7D%7B3%7D%20%20%5Cdiv%20%20%5Cfrac%7B2%7D%7B5%7D%20%20%2B%20%20%5Cfrac%7B4%7D%7
    15·1 answer
  • F(x) = x2 + 1 g(x) = 5 – x (f + g)(x) =
    15·1 answer
  • AABC has vertices of A(-2, 2), B(-1, -2), C(-6, 1) and is translated right 7 and up 3.
    7·2 answers
  • A container contains balls numbered from 1 through 55. A ball is drawn randomly and replaced. Then a second ball is drawn random
    14·1 answer
  • Hector must find the sum of 50 + 83 + 50 by using mental math. Which property allows Hector to simplify the equation to 50 + 50
    5·2 answers
  • A3 -4a2+12-3a Factorise ?
    13·2 answers
  • Combine like terms to create an equivalent expression.<br> 3.4-2.8d+2.8d-1.3
    11·1 answer
  • in triangle pqr and triangle xyz, PQ=XY. QR=YZ, ext angle PQM=ext angle XYN. Prove that triangle PQR congruent to triangle XYZ​
    14·1 answer
  • Brittany’s brother, Nate, is two years younger than Brittany. Write an equation for Nate’s age, n, in terms of Brittany’s age, b
    12·1 answer
  • The diameter of the circle above is 86 cm. What is the circumference of the circle? (Use = 3.14.)
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!