The circumference of a circle is increasing at a rate of pi over 2 m/h at a certain instant the circumference is 12 pi meters what is the rate of change of the area of the circle at that instant in square meters per hour

Answers

Answer 1

Answer: 3pi

Step-by-step explanation:

Guessed and it was right, sorry don’t have an explanation.

Answer 2

The rate of change of the area of the circle at that instant in square meters per hour will be 3π.

What is the rate of change?

The pace at which one quantity changes in relation to another is known as the rate of change function.

Given that the circumference of a circle is increasing at a rate of π / 2 m/h at a certain instant the circumference is 12 π meters.

The rate of change of circumference will be calculated as,

dc/dt = π/2

d (2πr)/ dt = π / 2

dr / dt = 1 / 4

The rate of change in the area,

A = πr²

dA / dt = ( 2πr )  dr / dt

dA/dt = 12π x ( 1 / 4)

dA/dt = 3π

Therefore, the rate of change of the area of the circle at that instant in square meters per hour will be 3π.

To know more about rate of change follow

https://brainly.com/question/14282291

#SPJ2


Related Questions

Describe the signs (positive/negative) of the coordinate in each of the regions shown below. Then give one point contained within each region.​

Answers

Answer:

A = positive  

B = positive, negative

C = negative

D = positive, negative

Answer:

A Positive coordinates (5,5)    B Negative and Positive coordinates (-5,5)  C Negative coordinates (-5,-5)  D Negative and Positive coordinates (5,-5)

Step-by-step explanation:

Pls mark brianlist hope this helps .

Answer 15 and 16 and get 50 points
No link

Answers

Answer:

(1) x=5 (2) I think the answer to 16 is 3/5 but not 100% sure

Step-by-step explanation:

(1) 29=5x+4

Step 1: Flip the equation.

5x+4=29

Step 2: Subtract 4 from both sides.

5x+4−4=29−4

5x=25

Step 3: Divide both sides by 5.

5x /5 =  25 /5

x=5

-8/9 - (2 1/3)
show all your work

Answers

Answer:

1 8/9 - 1 2/3 = 2/

9

≅ 0.2222222

Step-by-step explanation:

How do you solve fractions step by step?

Conversion a mixed number 1 8/

9

to a improper fraction: 1 8/9 = 1 8/

9

= 1 · 9 + 8/

9

= 9 + 8/

9

= 17/

9

To find a new numerator:

a) Multiply the whole number 1 by the denominator 9. Whole number 1 equally 1 * 9/

9

= 9/

9

b) Add the answer from previous step 9 to the numerator 8. New numerator is 9 + 8 = 17

c) Write a previous answer (new numerator 17) over the denominator 9.

One and eight ninths is seventeen ninths

Conversion a mixed number 1 2/

3

to a improper fraction: 1 2/3 = 1 2/

3

= 1 · 3 + 2/

3

= 3 + 2/

3

= 5/

3

To find a new numerator:

a) Multiply the whole number 1 by the denominator 3. Whole number 1 equally 1 * 3/

3

= 3/

3

b) Add the answer from previous step 3 to the numerator 2. New numerator is 3 + 2 = 5

c) Write a previous answer (new numerator 5) over the denominator 3.

One and two thirds is five thirds

Subtract: 17/

9

- 5/

3

= 17/

9

- 5 · 3/

3 · 3

= 17/

9

- 15/

9

= 17 - 15/

9

= 2/

9

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(9, 3) = 9. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 9 × 3 = 27. In the following intermediate step, it cannot further simplify the fraction result by canceling.

In other words - seventeen ninths minus five thirds = two ninths

Help me please quickly

Answers

Answer:

x ≥ 1

Step-by-step explanation:

→ As it is a shaded circle you know it ≤ or ≥

x ≥ 1

John rented a jet ski for $199.95. The rental included a rental fee of $75 and an additional charge of $24.99 per hour. How many hours did John rent the jet ski?

Answers

Answer:

John rented the jet ski for 5 hours

Step-by-step explanation:

Step 1- Subtract $75 from $199.95 and you should end up with $124.95

Step 2- Divide $124.95 by $24.99 and you should end up with 5

Step 3- John rented the jet ski for 5 hours

Answer:

John rented the jet ski for 5 hours.

Step-by-step explanation:

Take the total cost: $199.95, and subtract $75 because that was included in the cost. You get 124.95. Next you divide $24.99 by 124.95, because $24.99 was the amount he paid per hour, and $124.95 is the amount that he paid in total for all the hours that he jet skied, and you get 5 hours.

PLEASE HELP!!!
[tex]\sqrt\frac{7}{8}[/tex] In simplest radical form

Answers

Answer:

Step-by-step explanation:

[tex]\sqrt{\frac{7}{8} } = \sqrt{\frac{7}{8}*\frac{8}{8}[/tex]

= sqrt(56)/8

Answer:

  (√14)/4

Step-by-step explanation:

You can "rationalize the denominator" after you take the root, or you can make the denominator a perfect square before you take the root.

  [tex]\sqrt{\dfrac{7}{8}}=\dfrac{\sqrt{7}}{2\sqrt{2}}=\dfrac{\sqrt{7}}{2\sqrt{2}}\cdot\dfrac{\sqrt{2}}{\sqrt{2}}=\dfrac{\sqrt{14}}{4}\\\\\sqrt{\dfrac{7}{8}}=\sqrt{\dfrac{7}{8}\cdot\dfrac{2}{2}}=\sqrt{\dfrac{14}{16}}=\dfrac{\sqrt{14}}{4}[/tex]

50 POINTS What is the greatest common factor of 4k, 18k4, and 12?
A) 2
B) 4
C) 2k
D) 4k

Answers

Answer:

The greatest common factor of 4k, 18k4, and 12 is 2.

Answer A 2

Hope this helps

A rectangle has a length at least four more than five times the width. If the
perimeter is at least 44 units, find the least possible width.

Answers

Answer:

width of 3 units

Step-by-step explanation:

let 'w' = width

let '4+5w' = length

P = 2l + 2w

44 = 2(4+5w) + 2w

44 = 8 + 10w + 2w

36 = 12w

w = 36/12

w = 3

what is the answer to 32÷(-8)=

Answers

Answer:

-4

Step-by-step explanation:

32÷(-8)=-32÷8

           =-4

Use the information in the table to solve Exercises 4-6.
Morgan's favorite spaghetti sauce is available in two sizes: pint
Each size and its price are shown in the table.
Size
Quantity (oz)
Price (5)
pint
16
3.98
quart
32
5.98

Answers

Answer:

Step-by-step explanation:

seventeen cus it is :)

what is 10 3/12 simplified??

Answers

Answer:

 10 1/4

Step-by-step explanation:

Clarke earns
2.5
%
interest a savings account each year. If Clarke deposits
$
2
,
000.00
into a savings account, how much interest will Clarke earn during the first year?

Answers

Answer:

$ 50.00

Step-by-step explanation:

Hope this helps!

does the height of the shooter affect the number of goals scored in a netball match

Answers

It’s possible for a taller person to make a shot in the net then a short person because it will depend on they height.

write the sentence as an equation

46 less than m is 54.

Can someone please help me

Answers

Answer:

m - 46 = 54

Step-by-step explanation:

46 less than m is 54,

→ m - 46 = 54

Let's solve this equation,

→ m - 46 = 54

→ m = 54 + 46

→ [ m = 100 ]

So, the answer is 100.

A city has 3 new houses for every 7 old houses. If there are 21 new houses in the city, how many old houses are there
A. 49
B. 47
C. 52
D. 51

Answers

Answer:

A. 49

Step-by-step explanation:

ratio of houses is 3 new to 7 old

21 new is 7 times more than 3, so 7 will also be 7 times more

so, 21 to 49

I hope that made sense

which of the following numbers closest to 6? 34, 37, 38, 33.

Answers

33 is the closest number if talking about math but in the question 34 is the number closest to 6 in your question

Geri jogs every fourth day. Sarah jogs along the same path every fifth day. Both girls jog on the path on July 7. What is the next date they will both jog on the path?

Answers

Answer:

The next day they will both run on the path is July 27th.

We can find this by making columns writing every date and seeing when they intersect.

4                    5

8                   10

12                  15

16                 20

20

We can then add this to the current date to find the date they will next run together.

Step-by-step explanation:

hope this helps. . . <3

good luck!      UwU

PLS HELP WILL MARK YOU BRAINLIEST!

Answers

Answer:

Option C

Step-by-step explanation:

[tex]\frac{(2x^3y^2z)^2(-3xyz^2)^2}{18x^6y^7z^3} =[/tex]

[tex]\frac{(4x^6y^4z^2)(9x^2y^2z^4)}{18x^6y^7z^3} =[/tex]

[tex]\frac{36x^8y^6z^6}{18x^6y^7z^3} =[/tex]

[tex]\frac{2x^2z^3}{y}[/tex]

help me pleassseeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

Step-by-step explanation:

it  is aas triangle

(6-i\sqrt(2))/(6+i\sqrt(2))

Answers

Answer: 18 sqrt= i

Hope this helps :)

Step-by-step explanation:

Examine the following table, which represents some points on a line.

x 3 0 −3 −6 −9
y −3 −2 −1 0 1
What is the equation for the line in slope-intercept form?


y=−3x−2y is equal to negative 3 x minus 2, , ,

y=3x−2y is equal to 3 x minus 2, , ,

y=−13x−2y is equal to negative 1 third x minus 2, , ,

y=−13x−6y is equal to negative 1 third x minus 6, , ,

y=−3x−6

Answers

Answer:

  (c)  y = −1/3x −2

Step-by-step explanation:

We notice two things in the table.

y goes up by 1 when x goes down by 3.y = -2 when x = 0 (this is the y-intercept

__

The slope of the line is ...

  m = (change in y)/(change in x) = +1/-3 = -1/3

Then the slope-intercept equation is ...

  y = mx +b . . . . . . slope m, y-intercept b

  y = -1/3x -2

Answer is C

Step-by-step explanation:

math

Can anyone help me with this question please I really need help please I’ll mark as brainliest

Answers

Answer:

[tex]f(x)=-11\times(7^x^-^1)[/tex]

Step-by-step explanation:

Stare at the numbers. Especially the first two. First one is -11. Second is [tex]-11\times 7[/tex]. Let's guess you keep multiplying. [tex]-77\times 7=-539[/tex]. Smells correct, let's confirm with the last one: [tex]-539\times7 = -3773[/tex]. I think we found a pattern. Each element is 7 times the previous one. With some practice you can just write the function, else let's divide by -11 away and let's see what we get:

[tex]f(1) = 1=7^0; f(2)=7; f(3)=7^2; f(4)=7^3[/tex]. Basically, the exponent is 1 less than the value we're evaluating the function. That leads tho the following

[tex]f(x)=-11\times(7^x^-^1)[/tex]

a person whose height is 6 feet is walking away from the base of a streetlight

Answers

there’s uh no question here but …

16. The quotient of 7 and a number

Answers

Answer:

7/n would be a algebraic express

Step-by-step explanation:

You go out to dinner with 2 friends. The bill was $35.60, and you
add 20% tip. All 3 of you share the total cost equally. How much
money did each person pay?

Answers

Answer:

$14.24

Step-by-step explanation:

Can someone help me Expand 3(z+2)

Answers

Answer: 3z+6

Step-by-step explanation:

(3) (z+2)

(3) (z)+(3) (2)

3z+6

A box's volume is equal to 600 cubic
inches. If the width of the box is 7
inches less than the length, and the
height is 10 inches less than the length,
find the dimensions of the box.

Answers

Answer:

Step-by-step explanation:

Length = x

width = x - 7

height = x - 10

volume = 600 in^3

Volume = L * w * h

600 = x * (x - 7)*(x - 10)

600 = x * (x^2 - 17x + 70)

600 = x^3 - 17x^2 + 70x

x^3 - 17x^2 + 70x - 600 = 0

There is a genius somewhere that could solve this using algebra. The rest of us have 2 choices. We can graph it (see below) or we could use a program that solves it for us. I'll do both for you.

a = 1

b  = - 17

c = 70

d = - 600

There is only 1 real solution: x = 15

L = 15

w = 8

h = 5

That has to be one of the ugliest graphs made. It does into the hundreds of thousands and it still looks like a straight line. Trust me. It's not.

PLEASE HELP!!!

what is the value of the expression 2/5m−1/3 when m = 3?

Answers

Answer:

13/15

Step-by-step explanation:

I took the quiz and solved it out. I would give further explaination but it is kinda hard to do that in text form. Have a nice day!

The value of the expression if m = 3 is 13/15

Given the expression as shown below:

2/5 m - 1/3

If the value of m = 3, hence the expression will become;

2/5(3) - 1/3

6/5 - 1/3

Find the LCM

6/5 - 1/3 = 3(6)-5/15\

6/5 - 1/3 = 18-5/15

6/5 - 1/3 = 13/15

Hence the value of the expression if m = 3 is 13/15

Learn more on equations here: https://brainly.com/question/13763238

Mark has $360 in his savings account and Trevor has $510 in his savings account. The interest rate is 3%. How
much will each person have in their savings account at the end of 5 years? Show your work.

Answers

Answer:

Mark: 54

Trevor: 765

Step-by-step explanation:

For each, you multiply the amount, time period, and the percentage.

(make sure to turn the percentage to a decimal)

I’m so sorry If my answer is wrong

(3/4(3/5) simplify i need the answer because i dont get it

Answers

Answer:

35 is already in the simplest form. It can be written as 0.6 in decimal form (rounded to 6 decimal places).

...

Reduce 3/5 to lowest terms

Find the GCD (or HCF) of numerator and denominator. GCD of 3 and 5 is 1.

3 ÷ 15 ÷ 1.

Reduced fraction: 35. Therefore, 3/5 simplified to lowest terms is 3/

Step-by-step explanation:

Other Questions
3 sentances Heat can be lost from the body in the same way that heat is lost from Earth's surface. Based on what you know about heat transfer from Earth's surface to the atmosphere, describe how the body can lose heat in each of these ways (radiation, conduction, convection). Superstitions are fallacies due to _____. post hoc reasoning rules of connection logical reasoning non-causative relationships What is the function of the nuclear envelope? How does the author use rhetoric to advance the overall purpose?A The author uses an informal, conversational tone to connect with his audience.B The author uses an argumentative, combative tone to condemn his audience.C The author uses hyperbole and sarcasm to develop his argument.D The author uses rhetorical questioning and an analogy to develop his argument. Convertibles. Barry, a new car dealer, advertised that a new brand of convertible called Wind would be available at his dealership for the price of $10,000 each. He had only three Wind vehicles, however, and when those were sold, he tried to convince shoppers to purchase a much more expensive new convertible at a price of $25,000. Kathy, a customer who decided to purchase one of the more expensive vehicles, needed financing in order to do so. She had $10,000 to pay on the car and sought a loan from ABC Bank for the remainder. She wanted the loan for a specific amount of time. ABC Bank offered her the loan and she agreed. The only information she received from ABC Bank was confirmation that she borrowed $15,000 at an 8% interest rate. After receiving several complaints, the Federal Trade Commission disapproved of Barry's action in regard to the Wind vehicles. Claiming that his advertisement was misleading, the Federal Trade Commission proceeded to issue a cease-and-desist order prohibiting deceptive advertising involving Wind vehicles and any other vehicles Barry offered for sale. Required:What terms references the cease-and-desist order entered by the Federal Trade Commission involving not only Barry's sales of Wind but also his sales of all other vehicles? The quotient of a number, divided by 3, equals-8 if you are a scientific or a inventor what do you want to discover or to invent relate to electrogmagnetism Use the graph to complete the statements.The car gets 30 miles to the gallon.After the car has traveled? miles, 2 and two-thirds how many gallons of gas have been consumed. PLEASE HELP ASAP WILL GIVE BRAINLIST!! Q: Select the correct answer.How are the members of the House of Representatives elected?A. by the people through the Electoral CollegeB. by the people in proportion to the population of their stateC. by the state legislaturesD. by the senators of each state the Arizona Cardinals won 10 games out of 16 games during the 2009 regular season. At this rate, how many games do they need to play to win 50 games? Class : PsychologyChoices in link below find the total surface area of this triangular prism PLEASE HELP WILL GIVE BRAINLIEST The graph represents the piecewise function: HELPWhich element of a story is most clearly a motif?A. A bag of jewels that the characters try to stealB. A detailed description of a wheat field in fallC. A storm's arrival whenever there is conflictD. A detail that foreshadows what happens later the minnesota vikings are going to win the game today said josh, a fifth grade fanThere are 8 improvements to be made. (4)/(12)= ()/(3) what makes this equivalent Angelo is my big, fat cat. He became big and fat when we fed him the wrong food. The veterinarian said he was too big and fat and needed an exercise program. Why does Caitlyn need a thesaurus what are the influences of nature and nurture pertaining to human behavior, which one is the largest contributor of behavior, nurture or nature? What are the 3 elements of communication dynamics? Find the number that makes the ratio equivalent to 99:66:6