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.

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Related Questions

the radius of the circle increase at a rate of 4 cm ,min how fast is the area of pool increasing when the radius is 5 cm

Answers

Answer:

40π cm2/ min.

Step-by-step explanation:

First, we should begin with an equation we know relating the area of a circle, the pool, and its radius: A=πr2.

I need help finding surface area

Answers

Answer:

[tex]603.2km^{2}[/tex]

Step-by-step explanation:

Help me please????!!!

Answers

Answer:

Helene invested $700 in the 5% interest account and $500 in the 10% interest account.

Step-by-step explanation:

Given m||n, find the value of x. (10X-40°)(x-140°​

Answers

Answer:

1

Step-by-step explanation:

no es mi culpa que eres una caca

can anyone help me ?
Find the missing angle measure.

Answers

Answer:

x° = 99°

Step-by-step explanation:

The polygon is a hexagon and the sum of its internal angles is:

[tex]180(n-2)=180(6-2)=180(4)=720^{0}[/tex]

subtract the 5 known angles:

[tex]x^{0} =720-145-164-59-132-121=99^{0}[/tex]

Hope this helps

Solve for x then y.
y+10=-1/6(x-6)

Answers

Answer:

y= -x/6-9

x= -6y-54

Step-by-step explanation:

Multi-Step:
Leigh wants to buy a bike for $429 and a helmet for
$38. If she saves $8 a week, about how many weeks will it take her
to save the money to buy the bike and helmet?
330

Answers

Answer:

roughly 58

Step-by-step explanation:

the price of the bike added to the price of the helmet is 467 dollars, and you divide it by the 8 dollars a week to get roughly 59 weeks, which it should all look like this:

429+38=467

467÷8=58.375 (round up)

Answer:

about 59 weeks

Step-by-step explanation:

A store sells 4 cans of soup for $9. How much would it cost you to buy 5 cans of soup?

Answers

Answer:

$11.25

Step-by-step explanation:

4 x 5 = 20

9 x 5 = 45

20/4 = 5

45/5 = 11.25

The question is written on the image

Answers

Answer:

I have attached the answer below.

Step-by-step explanation:

The diagram which has red ink cannot take a perfect feeding path.

Hopefully this helps.

|2x + 6| = 16
plsss helppp

Answers

Answer:

x = 5

Step-by-step explanation:

|2x + 6| = 16

=> 2x + 6 = 16

=> 2x = 16 - 6

=> 2x = 10

=> x = 5

Hoped this helped.

X=5
2x +6 = 16
-6 -6
2x = 10
/2 /2
X=5

PLEASE HELP ME I NEED SOME ASSISTANCE

Answers

Answer:

It is C

Step-by-step explanation:

Khan Academy I use it trust me

C.... it is clear on the pic btw hope this helps

Work out m and c for the line: ? y = x + 6​

Answers

Well your c value is already there (6) as the standard equation for a line is
y = mx + c

To find the gradient (M) plot two points on the line.

Then label each co ordinate X1 and X2 and then Y1 and Y2

Then subtract your y1 from y2 and then x1 from x2.

For example :if your coordinates were (1,2) (3,4) you would do
4-2 and 3-1

These answers become your “changes” now do change in y / change in x

In terms of the Example you would do 2/2 which would be 1 and the M value would be 1

Hope that isn’t too confusing

| Solve for X
8x + 1 = 49

Answers

8x + 1 = 49

8x = 48

x = 6

Find the side length of the triangle 4x+8=3x+12

Answers

Answer:

I think it might be 4.

Step-by-step explanation:

:)

I found something that says 6x or something if that helps?

I hope you get it right!!!

Finite geometric series:

Hi, I want to ask a question, is about... for example, take the sequence 1,2,4,8,... Notice that each number is twice the value of the previous number. So, a number in the sequence can be represented by the function f(n) = 2^n-1. One way to write the sum of the sequence through the 5th number in the sequence is E^5 n-1^2n-1. This equation can also be written as S5 = 2^0 + 2^1+2^2+2^3+2^4. If we multiply this equation by 2, the equation becomes 2(S5) = 2^1+2^2+2^3+2^4+2^5.

What happens if I subtract the two equations and solve for S5? Can I use this information to come up with a way to find any geometric series Sn in the form E^a n-1^bn-1?

Answers

Answer:

You can, however i’m warning you it will definetly be difficult

Step-by-step explanation:


There are 50 students in one of Mr. Rudolph's physical education classes. On Monday, 14% of the students were absent from that dass. How many students were present in that dass
on Monday?

Answers

50 x .14 = 7 students absent
50 - 7 = 43 students present

43 is the number of students were present in that class on Monday

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

Given that there are 50 students in one of Mr. Rudolph's physical education classes.

On Monday, 14% of the students were absent from that dass.

We have to find the number of students were present in that dass

on Monday.

Let us find 14% of 50

14/100 ×50

0.14×50

7 students were absent.

Now 50-7=43 students.

Hence, 43 number of students were present in that class on Monday

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plus $5 per day. The fee for the game booth is $50 plus $7 per day.

Write an expression for how much both booths will cost for the same number of days.

Answers

Question:

A company sets up a food booth and a game booth at the county fair. The fee for the food booth is $100 plus $5 per day. The fee for the game both is $50 plus $7 per day. Write an expression for how much both will cost for the same number of days.

Answer:

105 times 15= 1575

57 times 20= 1140

1140+1575= 2715

(2715)(d)= x

Explain how to apply the substitution property of equality to the equation
a
+
42
=
b
if
a
=

16
and
b
=
26
.

Answers

Answer: Substitute the values given. The equation is a + 42 = b. Since a = -16 and b = 26, the equation will become -16 + 42 = 26. This equation holds true so it is correct.

Would appreciate brainliest <3

Find the gradient of the line passing through (0,2) and (3,5)

pls i need for hwk

Answers

Answer:

The gradient is 1

Step-by-step explanation:

m, gradient= (y2-y1) ÷ (x2-x1)

rewrite in simplest terms: 5(0.9m+0.5)-3(0.4m+0.7)

Answers

Answer:

3.3m+1.4

Step-by-step explanation:

Multiply 5 and 0.9m

Multiply 5 and 0.5

5 times 0.9m is 4.5m

5 times 0.5 is 2.5

Multiply -3 and 0.4m

Multiply -3 and 0.7

-3 times 0.4m is -1.2m

-3 times -.7 is -2.1

4.5m+ 2.5 -1.2m-2.1

Which is 3.3m+1.4

Hope this helps!

The Theater Club would like to take a trip to the local theater to see a play. They need to pay for admission to the play, lunch at the theater, and transportation to and from the theater. Admission to the play is $3 per person, and lunch costs $6 per person. It costs $55 to charter a bus for the event. The club raised $244 for the total cost of the trip. How many people can go on the trip?

Answers

Answer:

ok

Step-by-step explanation:

try and check the denominator and cross check with the first expense made

HELP * PICTURE INSERTED*

Answers

Answer:

9m^2

Step-by-step explanation:

Area of triangle = 1/2 ×base×height

=1/2(2/3m ×27m)

Area of triangle =9m^2

40 is a multiple of with number . 6,11,8,15

Answers

Answer: 8

Step-by-step explanation: 8 * 5 = 40

The rest don't work.

Would appreciate brainliest <3

Answer:

8

Step-by-step explanation:

You can do 8 *5

Daniella has 130 baseball cards. She buys new cards to her collection every month. Which arithmetic sequence describes the number of cards in her collection?

Answers

Answer:

a1=130;an=an−1+10

Step-by-step explanation:

The answer is the third one.

She starts with 130

a1 = 130

She adds 10 every month.

So you take the number she had last month (represented by a_n-1) and adds 10.

Answer

a1 = 130

an = an_1 + 10

C

Given side AB in ΔABC has length x, what is the length of side AC?
A) x
B) x 2
C) x 3
D) 2x

Answers

Answer:

2x

Step-by-step explanation:

Are these parallel or perpendicular or neither? 8x-2y=4 and x+4y=-12

Answers

Answer:

perpendicular

Step-by-step explanation:

(x+4y=-12) = (y = − 1 /4 x − 3)

(8x-2y=4) = (y = 4 x -2)

PLEASE HELP! WILL GIVE BRAINLIEST (NO LINKS)


1. What is the probability of rolling a total of 7 or 11 with two 6-sided dice

2. What is the probability of rolling a total less than 5 with two s6-sided dice

3. What is the probability of rolling a total of 10 with a 6-sided dice and a 8-sided dice

Answers

Answer:

1. 2/9

2. 1/3

3. 112

Step-by-step explanation:

What is the Y-Int, Slope, and Slope-Intercept form? Need help!

Answers

The y int is -3 and the 3/2

Lucy has some number cards that each have a whole number on them.
If she chooses a card at random, the probability that the number on it is
even is
3/7

Work out the ratio of even cards to odd cards that Lucy has.
Give your answer in its simplest form.



PLEASE HELP BRAINLIST TO FASTEST AND CORRECT ANSWER

Answers

Answer:

Well lucy has a 50/50 chance to get a odd card so that is it

Step-by-step explanation:

The ratio of even cards to odd cards that Lucy has is 3:4 in its simplest form.

Let's denote the number of even cards as "x" and the number of odd cards as "y".

The probability of choosing an even card is given as [tex]\frac{3}{7}.[/tex]

The probability of choosing an even card is calculated by dividing the number of even cards by the total number of cards:

Probability of choosing an even card = Number of even cards / Total number of cards

Therefore, we have:

[tex]\frac{3}{7} = \frac{x}{x+y}[/tex]

To find the ratio of even cards to odd cards, we can set up the equation:

[tex]\frac{x}{y} = \frac{3}{4}[/tex]

Therefore, the ratio of even cards to odd cards that Lucy has is 3:4 in its simplest form.

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Describe the solutions in words to the inequality 4 < c + 2
A. All real numbers greater than 4
B. All real numbers less than 2
C. All real numbers less than 4
D. All real numbers greater than 2

Answers

Answer:

All real numbers are greater than four

Step-by-step explanation:

4+2=6

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