when the area of a circle is increasing twice as fast as the radius, the radius is given by

Answers

Answer 1

Answer:

  r = 1/π

Step-by-step explanation:

The area of a circle is given by ...

  A = πr²

The rate of change of area is ...

  A' = 2πr·r'

We want that rate of change to be twice as fast as the rate of change of radius:

  2r' = 2πr·r'

  1 = πr . . . . . . divide by 2r'

  1/π = r

When the area is changing twice as fast as the radius, the radius is 1/π.

_____

Additional comment

The area and the radius have different units, so their rates of change must be compared numerically. The numerical value will depend on the units used. The radius for a circle whose area is measured in m² will be different than for one whose area is measured in ft².


Related Questions

plz help ppl keep putting links

Answers

Answer:

∠DAB=140

∠BAC=60

∠EBF=40

∠ACB=80

∠BCG=100

Step-by-step explanation:

what number set does -7 belong to

Answers

Answer:

Integers

Step-by-step explanation:

Integers include both positive and negative numbers. This is the simplest answer. This set doesn't include any fractions or decimals. Integers are a subset of rational numbers, which are a subset of real numbers, which are a subset of complex numbers.

PLEASEEE HURRY. Please I really need this please

Answers

Answer:

answer is

Step-by-step explanation:

Answer:

final answer is: ABC, A (-5,1), B (-4,6) and C (-1,4)

Step-by-step explanation:

Original: ABC, A (2,-1), B (1,4) and C (-2,2)

translate 3 units to the right and 2 units up: ABC, A (5,1), B (4,6) and C (1,4)

reflected over the x-axis: ABC, A (5,-1), B (4,-6) and C (1,-4)

rotated 180°: ABC, A (-5,1), B (-4,6) and C (-1,4)

5. (27:21) Harry says there are 5 families gone on
one block alone. If there are 12 families on that
block, how many families might you expect to be
gone on a street with 60 families?

Answers

Based on the number of families that left and the number in total on that block, the expected number of families gone on the other block is 25 families.

On the first block, the proportion of families that is gone is:

= Number of families gone / Total number of families on block

= 5 / 12

If there are 60 families on a block, the number gone would be:

= Proportion of families gone x Total number of families

= 5/12 x 60

= 25 families

In conclusion, 25 families would be gone

Find out more on proportions at https://brainly.com/question/11570843.

Question 14 (5 points)
image

Which of the following is a true statement about the rhombus shown?
Question 14 options:

A)



B)

m∠SPQ = 90°

C)

m∠STP = 90°

D)





Question 15 (5 points)
image

Determine the value of x.
Question 15 options:

A)

x = 90°

B)

x = 45°

C)

x = 20°

D)

x = 4.5°

Answers

Answer:

14) C

15) D, because 90:20=4.5

I need help anyone please help.

Answers

Answer:

1/4 or 1/2 good luck my  guy

Step-by-step explanation:

On a coordinate plane, a line is drawn from point A to point B. Point A is at (negative 4, 8) and point B is at (2, negative 4). What are the x- and y-coordinates of point C, which partitions the directed line segment from A to B into the ratio 3:10? Round to the nearest tenth, if necessary. X = y =.

Answers

The x and y coordinates of point C are -2.6 and 5.2, respectively

The coordinate of the points are given as:

[tex]A = (-4,8)[/tex]

[tex]B =(2,-4)[/tex]

The ratio is given as:

[tex]m :n = 3 : 10[/tex]

The point at the given ratio is calculated as:

[tex]C = (\frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n})[/tex]

So, we have:

[tex]C = (\frac{3 \times 2 + 10 \times -4}{3+10},\frac{3 \times -4 +10 \times 8}{3+10})[/tex]

Simplify

[tex]C = (\frac{-34}{13},\frac{68}{13})[/tex]

[tex]C = (-2.6,5.2)[/tex]

Hence, the x and y coordinates of point C are -2.6 and 5.2, respectively

Read more about line ratios at:

https://brainly.com/question/11764811

Answer:

a

Step-by-step explanation:

I need help final exam will mark brainliest...
Pablo is walking. The number of minutes he has walked varies directly with the number of calories he has burned. See the graph below. two-part question.


(a) How many calories is Pablo burning per minute?

(b) what is the slope of the graph?

Answers

5 calories per minute
1/2 is your slope.

Answer:

1. 5 calories per minute

2.1/2 is your slope.

Step-by-step explanation:

a train which is 100 meters long is traveling at a speed of 90km per hour. How many seconds will it take for this train to pass completely through a 300 meter tunnel

Answers

The train will take 16 seconds to pass completely through a 300 meter tunnel.

Let suppose that the train moves itself at constant velocity, the vehicles needs to cover the tunnel length ([tex]L[/tex]) and its length ([tex]l[/tex]), both in meters, to pass through the tunnel, the time taken by the train ([tex]t[/tex]) is described by the following kinematic formula:

[tex]t = \frac{L+l}{v}[/tex] (1)

Where [tex]v[/tex] is the train velocity, in meters per second.

If we know that [tex]L = 300\,m[/tex], [tex]l = 100\,m[/tex] and [tex]v = 90\,\frac{km}{h}\,\left(25\,\frac{m}{s} \right)[/tex], then the time taken by the train is:

[tex]t = \frac{300\,m + 100\,m}{25\,\frac{m}{s} }[/tex]

[tex]t = 16\,s[/tex]

The train will take 16 seconds to pass completely through a 300 meter tunnel.

To learn more on uniform motion, we kindly invite to check this verified question: https://brainly.com/question/12920060

A fifth-degree polynomial equation with rational coefficients has the roots 3, 8i, and 7- radical 5. Which are also roots of the polynomial equation?

Answers

Using complex numbers and radicals, it is found that the correct option is C.

When a complex number is a root of a polynomial function, it's conjugate also has to be.

Hence, since 8i is a root of the function, -8i is also a root.

The same is valid for radicals, as they are in the [tex]\pm[/tex] format.

Since [tex]7 - \sqrt{5}[/tex] is a root, [tex]7 + \sqrt{5}[/tex] is also a root.

Hence, option C is correct.

For more on complex numbers and radicals, you can check https://brainly.com/question/25173944

Can you explain how you got the answe

Answers

Answer:

3

Step-by-step explanation:

she put 4 stickers on each car

Krista's snow fort has an area of 6228 sq inches if it is 72 in long what is the width

Answers

Answer:

86.5 inches

Step-by-step explanation:

6228 / 72 = 86.5

The temperature at 7:00 a.m, was 12 C, and by 7:00 p.m, it had dropped
to -10°C. Which expression represents the change in temperature:

(A 12 + (-10)

(B 12 - 10

(C -10 + 12

(D -10 - 12

Answers

Answer:  D    -10 - 12

Step-by-step explanation:

Temperature change is (Final T) - (Initial T)

(Final T) = -10C

(Initial T) =  12

(Final T) - (Initial T) = -10C - 12C

Temp Change - 22C

- 12 \geq - 2 x - 15
[tex] - 12 \geqslant - 2x - 15[/tex]
what is this answer??? plssss help gotta get it done by tomorrow ​

Answers

Answer:

x= -3/5

Step-by-step explanation:

-12>= -2x-15

add 15 to both sides 3>= -2xdivide by -23/-2=x

someone please explain this

Answers

Answer:

HOPE THIS HELPS

Step-by-step explanation:

[tex]x^{2}[/tex]-14x-32 =(X+2)(X-16)

A=1

B=2

C=1

D=-16

SOLVE FOR ASA
-GEOMETRY

Answers

Step-by-step explanation:

Hope It Helps You

Here You Answer

ASA=Angle side angel where the angles are connected to the same side


It is given that kc equals bc and c=c because they are vertical angles so you just need one more angle which is b=k

Option c

what will be the total surface area of a cylinder if

h = 22cm
and
r = 3cm
TSA = ?

Please give me the answer plssss??

Answers

Answer:

total surface area of a cylinder is 471 cm²

Someone please help it’s due today in like 30 min I will give brainliest

Answers

Answer:

First pic X= 13.036

Second pic x= 11.23

Step-by-step explanation:

Help a girl out pls!!!

Answers

Answer: AA Similarity

Step-by-step explanation:

Since both shapes have two corresponding angles that are congruent, AA similarity is applied here.

Help me please

H please

Answers

Answer:

pi

Step-by-step explanation:

Have students write the answer to the Essential Question and draw examples to explain their answer

Answers

What’s the question?

what is 90 degrees plus 39 degrees plus 7x+16

Answers

it sounds like maybe 145+7x

hidffhhhhhhhhhhhhhhhhhhhhhhhhhd

Answers

Yes that is the right thing

Write an inequality to compare the ratios 2/4 and 5/6.

Answers

Answer:

5/6>2/4

Step-by-step explanation:

5/6 is greater than 2/4

what is 5 7/20 written as a decamal

Answers

Answer:

5 7/20 as a decimal is 5.35

Hope that helps. x

Answer:

Step-by-step explanation:

If your question has a big number 5 and a fraction 7/20, the 5 is going to be in the left side of the decimal, like 5.something ... the 7/20 is going to be the part on the right. If you're allowed to use a calculator just divide 7÷20 and that part goes on the right of the decimal. If you're not allowed to use a calculator then change 7/20 into something/100 ... 7/20× 5/5 gives you 35/100. That is the decimal part. It is written .35 So all together you get 5 7/20 is 5.35

What is the slope of a line perpendicular to the line whose equation is x-y=6x−y=6. Fully simplify your answer.

Answers

It should by the answer but if not sorry
Answer:
(X,Y)
(0,6)

0.41g -2) + 1.2 =-(g-1) + 2.9​

Answers

Answer:

g=-3repeated

Step-by-step explanation:

Can you please help me find number for D

Answers

Step-by-step explanation:

the slope of the line between the first 2 points must be the same as the slope between the second and the third point.

the slope is y difference / x difference.

so,

b/a = d/c

-3/1.6 = d/1.5

d = -3×1.5 / 1.6 = -4.5 / 1.6 = -2.8125

Rewrite this problem combining like terms!!
2 m − 3 m + 4

Answers

i believe the answer is 4-m! hopefully it’s right, sorry if it’s not!

Which substances will make a salt when combined?
Question 6 options:

Vinegar and soda

Soda and wine

Detergent and ammonia

Fertilizer and vinegar

Answers

A.Vinegar and soda

-A salt is a substance that contains a cation which is a metal ion or an ammonium ion and an anion derived from an acid. It is an ionic compound that can be formed by the neutralization reaction of an acid and a base.

-For example; a reaction between a soluble base sodium hydroxide and an acid dilute sulfuric acid results to the formation of salt sodium salt. There are also other methods of generating a cell apart from neutralization, such as precipitation reactions and direct synthesis among others,

Other Questions
What crop was commonly grown in the Southern colonies? (3points)O BeansO CornO PotatoesO Rice two nations competed for ownership of land with oil reserves. This statement can be categorized A natural flow of water that follows a path into another body of water According to the website www.olx.uz, monthly rent for a two-bedroom apartment has a mean of$250 and a standard deviation of $100 in the city of Andijan. The distribution of the monthly rent does notfollow the normal distribution. In fact, it is positively skewed. What is the probability of selecting a sampleof 40 two-bedroom apartments and finding the mean to be at least $275 per month? 4/7 + 21/30 x ((21 x 4) + (23 x 8)) = nneed in simplest form Explain the purpose of refrigerators. ChallengESee attachment and answer :) need this soon please Given f(x) = 3x+5x and g(x) = sqrt x+ 4 find f(g(12)) Help its multiple choice 11 through 15 please! Tyee signed up for a streaming music service that costs $6 per month. The service allows Tyee to listen to unlimited music, but if he wants to download songs for offline listening, the service charges $0.75 per song. How much total money would Tyee have to pay in a month in which he downloaded 10 songs? How much would he have to pay if he downloaded ss songs? In 2012, XYZ Inc., a medical equipment distributor, sold 10,000 units of its hospital beds at an average price of $500 per unit. The company reported estimated returns and allowances of $200,000. The company purchased 11,000 units of its product from its manufacturer in 2012 at an average cost of $350 per unit. XYZ began 2012 with 1,000 units of its product in inventory (carried at an average cost of $300 per unit). Operating expenses (excluding depreciation) in 2012 were $400,000, and the depreciation expense was $100,000. XYZ had $2,000,000 in debt outstanding throughout all of 2012, which carried an average interest rate of 10%. The companys tax rate is 40%. Its fiscal year runs from January 1 through December 31. Given this information, prepare the following documents: a. XYZs 2012 income statement b. XYZs 2012 ending inventory balance (both in unit and in dollar terms) What is the value of x + y when x is the additive identity and y = 5?O 5O There is not enough information to determine the value.O - 5O 0 Here's the question ~ Heat treatment of muscular pain involves radiation of wavelength of about 900 nm (nm = 10- m). which spectral line of H - atom is suitable for this purpose ?[ RH = 1 10 cm- ][ h = 6.6 10- Js ][ c = 3 10 m/s ]Thanks for Answering ! when was luisiana purhased The Outsiders: What is Cherry'slevel of selfesteem? Useevidence from thetext. PLS HELP HELLLLLOPPPPPP PLEASSSS BRO IM LITERALLY GONNA CRY PLEASE HELP WILL CROWN YOU WILL GIVE BRAINLIEST Write an essay on "Importance of Family".