The radius of a circle is constantly increasing. At a certain moment, the rate of increase of the circumference is the same as the rate of increase of the area. At that moment, what is the area of the circle?
a. 1/pi
b.pi/4
c.4pi
d.pi
e.4/pi

Answers

Answer 1
rate of change circumference=rate of change area, derivative of circumference(2piR)=derivative of area(piR^2), 2pi=2piR, R=1, plug back into area formula: piR^2, pi(1)^2, area=pi :)

Related Questions

What is the slope of a line perpendicular to the line whose equation is
3x + 3y = –27. Fully simplify your answer.

Answers

Answer:

1

Step-by-step explanation:

Perpendicular lines always have the opposite slope (meaning that you have to switch the numerator and denominator) and sign when comparing to the given equation.

To start off, convert the equation to be formatted into y=. You do this by first subtracting the 3x from both sides of the equation so that it now reads 3y=-3x-273y=−3x−27 . Now, divide the whole equation by three in order to get rid of the value attached to the y. The equation should now read to be: y=-x-9y=−x−9 . Now, just switch the the slope into its opposite (which is the reciprocal) and switch the negative sign into a positive.

Q

1). 20² + 20^2

nt : I from is Indonesian ​

Answers

Answer:

[tex]\red{\rule{4pt}{700000pt}}[/tex]

Step-by-step explanation:

hi

what is 2x-4y=12 x-3y=17

Answers

Answer:

x=-16

y=-11

Explanation:

2x-4y=12

x-3y=17

first multiply all the numbers of the bottom equation by -2

2x-4y=12

-2x+6y=-34

then cancel the x's, and add the other numbers

2y=-22

solve for y

y=-11

plug y into either the original top or bottom equations

2x-4(-11)=12

2x+44=12

2x=-32

x=-16

or

x-3(-11)=17

x+33=17

x=-16

If 20% of a number is 28 and 25% of the same number is 35, find 45% of that number.

Answers

answer: 63
explanation: 20% + 25% = 45% and 20%= 28
25%= 35
thus, 28 + 35 = 45% = 63

A 6 pound bag of grass seed covers 7,000 square feet. How many pounds would be needed to cover 23,000 square feet?

Write answer as an integer or a reduced fraction.

Answers

Answer:

Step-by-step explanation:

You can setup a proportion as follows:

 

4 lb = 9000 ft2

x lb = 25000 ft2

 

Solve for x = 25000 ft2 x 4 lb / 9000 ft2 = 11.11 lb ~ 11 lb rounded to a whole number

pls help mee I dont k ow this and if anyone is smort enough can you help me with the 9ther questions (5 i total my last redo)​

Answers

Answer:

c

Step-by-step explanation:

I think that is the answer

Answer:

c

Step-by-step explanation:

it is equal to.

Write the equation of the line passing through points (-1,1) and (1,1).

Answers

Answer: x+1

Step-by-step explanation:

Answer:

Try x+1

Step-by-step explanation:

Hope it helps

you throw a football straight up into the air with a speed of 12.2m/s. How high those the ball go?

Answers

Answer:

7.6m

hope this helps :)

For which function is the ordered pair (2, 12) not a solution?
A) y= 6 x
B) y= x - 10
C) y= 14 - x
D)y= x + 10​

Answers

Answer:

option b

Step-by-step explanation:

y=12 x=2

12 is not equal to 2-10.

lemme know if you didn't understand

if h(x)=5x+2 and g(x) =9x-4 find (h o g) (3)

Answers

Answer:

h(g(x)) = 45x -18

Step-by-step explanation:

h(g(x)) = 5(9x - 4) + 2

= 45x - 20 + 2

= 45x -18

[tex]\text{Given that,}\\\\h(x) = 5x+2 \\\\g(x) = 9x-4\\\\g(3) = 9(3) -4 =27 -4=23\\\\(h \circ g)(3) \\\\=h(g(3))\\\\=h(23)\\\\=5(23) +2 \\\\=117[/tex]

A proportional relationship is shown in the table below

X 0 .3 .6 .9 1.2
Y 0 1 2 3 4

Answers

3.33 or 1/.3 is the answer

Roberto bikes for 5.2 hours and covers a distance of 49.4 miles. Eileen bikes for 2.5 hours and covers a distance of 20.5 miles.
Assuming both Roberto and Eileen bike at a constant speed, who was biking faster and by how much? Select from the drop down menus to correctly answer the question. Choose... bikes faster than Choose... by Choose... mi/h.

Answers

Answer:

Roberto bikes faster than Eileen by 1.3 mi/h

Step-by-step explanation:

Roberto bikes at 49.4/5.2=9.5 mi/h

Eileen bikes at 20.5/2.5=8.2 mi/h

9.5-8.2=1.3

So Roberto bikes faster than Eileen by 1.3 mi/h

A line passes through the point (-2,6) and has a slope of 5/2 write an equation in slope-intercept form for this line

Answers

Answer:

y=5/2x+11

Step-by-step explanation:

write part of equation and apply

6=5/2(-2)+n

n=11

y=5/2x+11

Mrs. Carol body toaster oven for 18 nine dollars sales tax is 7.75% what was the total including tax that she spent for the toaster oven

Answers

18 nine dollars? what do you mean

please help me with this

Answers

Answer:

∠5  is supplementary.

It forms a straight angle with ∠1.

If
x
=
2
and
y
=
5
, evaluate the following expression:
2
(
3
y

4
x
)

Answers

The answer is 14 that should work

Calculate 1.015 to the power of 72

Answers

Answer:

2.92 rounded

Step-by-step explanation:

:))

2.92 is the answer if you round it, if you need the answer not rounded let me know.

Combining like terms. Solve for b.

15b + 10b = 50​

Answers

Answer:

b=2

Step-by-step explanation:

15b+10b=50

25b=50

b=2

Answer:

B is 2 because 10x2=20 and 15x2=30

add those 2 up and get 50

Step-by-step explanation:

Give brainly pls(the crown)

() What is 4 divided by 9?

Answers

4/9 = 0.444444444444444

Answer:

9

Step-by-step explanation:

During a snowstorm, Noah tracked the amount of snow on the ground. When the
storm began, there was 1 inch of snow on the ground. For the first 4 hours of the
storm, snow fell at a constant rate of 3 inches per hour. The storm then stopped for 2
hours and then started again at a constant rate of 2 inches per hour for the next 6
hours. Make a graph showing the inches of snow on the ground over time using the data that Noah created
data that Noah collected.
Click twice to plot a segment.
Click a segment to delete it.
25
24
23
22
ow on the Ground (Inches)
20
19
18
17
16
15
14
13
12
9

Answers

Answer:

ss the question

Step-by-step explanation:

Sum of three consecutive odd integers is 57. What are the three consecutive even numbers? Write an equation.

Answers

Answer:

17, 19 and 21

Step-by-step explanation:

17 + 19 + 21 = 57

A photograph measures 15 cm by 20 cm. It is made smaller in the ratio 4:5 What are the dimensions of the new photograph?

HELP PLSS !!!!!

Answers

Answer:

12cm by 15cm

8cm by 10cm

4cm by 5cm

Step-by-step explanation:

it is made smaller so any values smaller than 15cm but in ratio of 4:5 can be answer

Answer:

15 cm is the new dimensions of new photograph

Step-by-step explanation:

initial dimension of shorter side = 8 cm

initial dimension of longer side = 10 cm

final dimension ofshorter side = 12 cm

finial dimension of longer side = x cm

The enlargement always ensure the aspect ratio

aspect ratio = lonter side/shorter side

equating, [tex]\frac{10}{8}[/tex] = [tex]\frac{x}{12}[/tex]

Solving for x,

10 × 12 = 8 × x

[tex]x = \frac{10 x 12 }{8} = \frac{120}{8 } = 15[/tex]

        /\

        that says 10 x 12

longer side is 15cm

(Hope this helps can I pls have brainlist (crown)☺️)

Simplify the expression (ab^2)*(-b^4a^3)^2​

Answers

if any doubt leave a comment below

If ur question has two “carries” in one as I see here the answer is: ab^8a+2

!PLEASE HELP!

3/2 (7/3x+1) = 3/2

Show work. (simple if possible)

Giving Brainliest.

Answers

Answer:

x = 0

Step-by-step explanation:

[tex]\frac{3}{2}(\frac{7}{3}x + 1) = \frac{3}{2}[/tex]

To start, let's multiply each side by the reciprocal of [tex]\frac{3}{2}[/tex].  Multiplying a fraction by its reciprocal gives us 1, which will make the left side of our equation simpler.

[tex]\frac{2}3} * \frac{3}{2}(\frac{7}{3}x + 1) = \frac{2}3} * \frac{3}{2}[/tex]

[tex]\frac{2}{3} * \frac{3}{2} = 1[/tex], so we have:

[tex]1(\frac{7}{3}x + 1) = 1[/tex] or [tex]\frac{7}{3}x + 1= 1[/tex]

Next, we can subtract 1 from both sides to further simplify the left side:

[tex]\frac{7}{3}x + 1 - 1= 1 - 1\\\frac{7}{3}x=0[/tex]

Finally, we can multiply by the reciprocal of [tex]\frac{7}{3}[/tex] on both sides in order to isolate x on the left.  Anything multiplied by 0 = 0, so now we have:

x = 0

7/2x + 3/2 = 3/2 <=> 7/2x = 0 <=> x=0

Write the number below as a fraction in its simplest form
0.41 recurring

Answers

Answer:

41/100

Step-by-step explanation:

Any decimal to a fraction would have to have a extra digit than the numerator also it has to start with 1 and the rest having to be a certain amount of 0's, 0.41 as a fraction fraction would be 41/100

148 oz = ________ lb _______ oz
Explain yourself

Answers

9lb 25oz

To obtain the mass in pounds divide the ounces by 16. The formula is: [lb] = [148] / 16.

Thus, rounded you get: 148 oz = 9.25 pounds. Now the numbers after the decimal point is oz.
Hope I helped

Four movie tickets cost $48. At this rate, what is the cost of...
a. 5 movie tickets? Show your work.
b. 11 movie tickets? Show your work.

Answers

We first want to know how much one movie ticket costs. We do 48/4 giving us 12. So one ticket costs $12!!

5 movie tickets will cost $60 because 5 times 12 is 60.

11 movie tickets will cost us $121 because 11 times 12 is 121!

Hope this helps!! :)

The soup pot is 8 inches tall with a radius of 3 inches.

What is the volume of the soup pot?

Answers

Answer:The volume of the soup pot is of 226.19 cubic inches.

Step-by-step explanation:

Format of a soup pot:

A soup pot has a cylindrical format.

Cylinder volume:

The volume of a cylinder, with radius r and height g is given by:

The soup pot is 8 inches tall with a radius of 3 inches.

This means that

What is the volume of the soup pot?

The volume of the soup pot is of 226.19 cubic inches.

The table shows the number of admission tickets to an amusement park sold over the last 3 days.


Day Tickets Sold

Friday 2 to the power of 4 · 3 to the power of 2 · 5 to the power of 3
Saturday 2 to the power of 2 · 3 to the power of 4 · 7 · 13
Sunday 3 to the power of 6 · 5 · 7

How many more tickets were sold on Sunday than on Friday? Write your answer as a whole number.

HOW MANY tickets??!?

Answers

Answer:

There were 7515 more ticket sold on Sunday than on Friday.

Answer: There were 21915 sold on Sunday than on Friday.

The state of Colorado has 7 representatives in the U.S. House of Representatives. There are a total 435 representatives. What is the percentage of Colorado’s representation?

Answers

Answer:

1,61 %

Step-by-step explanation:

Divide the part you want to calculate the percentage of (in this case 7) by the total (435) and multiply by 100

7/435*100= 1,61 %

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