2. The area A of a circle is increasing at a constant rate of 2.5cm s . If the area of the circle is given
by A = πr2, what is the rate of change of the radius when the radius is 15cm?

Answers

Answer 1

Answer:

235.65 cm^2s-1

Step-by-step explanation:

We have that;

Rate of change of area (dA/dt) = (dA/dr) (dr/dt) By chain rule

Note that dr/dt = rate of change of radius

But

A = πr^2

dA/dr = 2πr

dr/dt = 2.5cm s-1 (given)

So;

dA/dt =  2πr * 2.5cm s-1

r = 15cm (given)

dA/dt = 2 * 3.142 * 15cm * 2.5cm s-1

dA/dt = 235.65 cm^2s-1


Related Questions

HELP PLSSSS
hey can u look at the pic above pls and help

Answers

Answer:

1,296 students attended the fall play.

Step-by-step explanation:

Let the amount of students = s

Let the amount of adults = a

Three times the adults: 3a

150 fewer than three times the adults:3a-150

amount of students = 150 fewer than three times the adults: s=3a-150

We also know that a+s=1778. Let's sub in the value for s that we got above:

a+s=1778

a+3a-150=1778

4a=1928

a=482

a+s=1778

482+s=1778

s=1296

What is 2/3 of 9?
2
3
6
7

Answers

Answer: 6

Step-by-step explanation:

2/3 of 9 is basically 2/3 times 9

Answer:

6, because this and that is this and that bam boom bap, just trust me bro

3(v +67)=-13 I need help

Answers

Answer:

v= -71.3 there you go hope this helps

Steve earns $6.50 an hour. He worked 25 hours in the previous 1-week pay period. If Steve's employer withholds 10% of each of Steve's paychecks to pay Steve's income tax, how much will Steve take home in this week's paycheck?

Answers

Answer:

$146.25

Step-by-step explanation:

$6.50 per hour

for 25 hours = 25 × 6.50 = $162.5

10% of 162.5

162.5 × 10 ÷ 100

= 16.25

his week paycheck

162.5 - 16.25

= $146.25

Answer:

146.25$ is the a answer for sure

I need help with this yes or no picking?

Answers

Use photomath. Do not click on the link the other person which is actually a bot put.

saloonaeraal
Diberaiaissensis
Carpeteers
0008Past Practicetest
M AROAeroes Asces
16. Which of the following statement fade atrout not thekhe account 2 points)
They are for son tan sonra ay
Theyreareere

Answers

Answer:

A because i can boy or girl im just tired

Without graphing, tell whether the line containing (6. -3) and (0, -8) is horizontal, vertical, or neither.
A neither
O B. vertical
ci horizontal

Answers

The best answer to go with is b your welcome

A sample of 144 was taken from a population, with the mean of the sample
being 41 and the standard deviation of the sample being 3. What is the 95%
confidence interval for the mean of the population?

A. (38.15, 43.85)
B. (40.625, 41.375)
C. (38, 44)
D. (40.5, 41.5)

Answers

Answer:

the answer is D

Step-by-step explanation:

i got it right and so would you ;)

The confidence interval for the mean of the population is (40.5, 41.5). Option D is correct.

How to calculate confidence interval for population mean ?

If the sample size is given to be n >30, then for finding the confidence interval for the mean of the population from this small sample, we use t-statistic.

Then, we get the confidence interval in between the limits;

[tex]\rm CI= \overline{x} \pm t_{\alpha/2}\times \dfrac{s}{\sqrt{n}}\\\\ CI=41+0.95\times \frac{3}{\sqrt{144} } \\\\ CI= 41+0.7125 \\\\ CI=41.7\\\\ CI=41-0.7125\\\ CI=40.5[/tex]

The confidence interval for the mean of the population is (40.5, 41.5).

Hence,option D is correct.

Learn more about confidence interval refer;

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In the year 2003, a person bought a new car for $18500. For each consecutive year after that, the value of the car depreciated by 12%. How much would the car be worth in the year 2005, to the nearest hundred dollars?​

Answers

Answer:

Step-by-step explanation:

t is the number of years since 2003.

f(t) = $18,500×0.88^t

t = 2 in 2005

f(2) = $18,500×0.88²≅ $14,300

Answer:

$14300.00

Step-by-step explanation:

100 - 12 = 88%

88% = 0.88

$18500 x 0.88² = $14326.40

To the nearest hundread:

$14326.40 = $14300.00

0.88² means to the power of 2 since it is 2 consecutive years I did to the power of 2. If it was 3 consecutive years then you do 0.88³.

Hope this helps!

a + b − _____ = a
help :)

Answers

Step-by-step explanation:

Subtract a from both sides

a-a+b-___=a-a

b-__=0

b=___

answer:b

Hope that helps :)

It's b. It's a + b - b = a.

please help me thanks​

Answers

Answer:

D

Step-by-step explanation:

Answer:

each person gets 2 1/2

Step-by-step explanation:

You divide and get 2 1/2

the answer is D

What’s the answer and work to this? Someone please tell me

Answers

Answer:

14

Step-by-step explanation:

If you list all the values in increasing order, the median is the values in the middle if there is an odd number of values. If the number of values is even, then the median is the average of the two middle values.

The given values are:

19, -3, 7, 1, 8, 18, 42

Let's write all the values in increasing order.

-3, 1, 7, 8, 18, 19, 42

There are 7 values. The median now is 8, the value right in the middle. We need to add one value, so there will be 8 values in total. Since the number of values will be even, the median will be the average of the two middle values.

Since the median must be 11, the value we need to add is x which must be greater than 8.

-3, 1, 7, 8, x, 18, 19, 42

(8 + x)/2 = 11

8 + x = 22

x = 14

Answer: 14

Brainliest. Please aced and expert help me out here.

Answers

Answer:

The following statements are true.

A rhombus is a parallelogram with equal sides. In a parallelogram, opposite sides are equal. The area of a rhombus is found using the formula A = b × h. b and h represents the base and height of the rhombus respectively. The area is found the same way for both a rhombus and a parallelogram. The formula, area = base × height can be used for both rhombus and parallelogram.

Step-by-step explanation:

I'm not an ace nor a genius but here are the correct answers

The area of a circle is 4​ square centimeters. What is the circumference?

Answers

7.088

Step 1) get r from area= pi *r^2

2) found the centimeters

Write the exponential equation
A. y = 2.5(2)^x
B. y = 10(1/2)^x
C. y = 2(2.5) ^x
D. y = 1/2(10)^x

Answers

Answer:

A. y = 2.5(2)^x

Step-by-step explanation:

Given that when

x = 1, f(x) =  5

x = 2, f(x) =  10

x = 3, f(x) =  20

x = 4, f(x) =  40

x = 5, f(x) =  80

x = 6, f(x) =  160

Considering all the options

y = 2.5(2)^x

Substitute x = 1

y = 2.5(2)^1 = 2.5 *2 = 5

Substitute x = 2

y = 2.5(2)^2 = 2.5 * 4 = 10

Substitute x = 3

y = 2.5(2)^3 = 2.5 * 8 = 20

Substitute x = 6

y = 2.5 (2)^6

= 2.5 * 64

= 160

Since the function is true for all the values of x substituted, then the answer is A. y = 2.5(2)^x

if the measure of arc LK is 56 degrees and the measure of arc LM is 187 degrees, what is m JKM angle KL = 56 degrees

Answers

Answer:

JKM is 123 degrees and the measure of arc KL is 56

JUST ANSWER NUMBER 3 PLEASE

Answers

Answer:

101.6 (option b)

Step-by-step explanation:

12 * 3 = 36

36 + 4 = 40

40 * 2.54 = 101.6

help me .................

Answers

Answer:

The answer is 6 and 1/12 yards :]

C2>a2+b2 is it a obtuse right or acute

Answers

Answer:

obtuse

Step-by-step explanation:

When c, the hypotenuse, is greater than the legs (a and b), it's an obtuse triangle

if 3 inches represents 65 miles on a map, then how many inches represent 195 miles?

Answers

Answer:

Step-by-step explanation:

65 miles = 2 inches

65 * 3 miles = 2 * 3 inches

195 miles = 6 inches

Select the two figures that are similar to each other.

Answers

upload a picture . so we can see the figures
Can you take a picture and post it

An angle equal to its supplement is _____ degree.

Answers

Answer:

90 Degrees.

The angle which is equal to its supplement is 90 degrees.

Answer:

90

Step-by-step explanation:

Let the required angle be x°

Therefore, it's supplement = (180-x)°

Now, x = 180-x

= x+x = 180

= 2x = 180°

Therefore x\ =\ \frac{180°}{2}\ =\ 90°x = 2180° = 90°

Suppose that when a system of linear equations is graphed, one line completely overlaps the other line. Which statement is correct?
The system of equations has one solution because the lines intersect at one point.
The system of equations has one solution because the lines do not intersect at only one point.
The system of equations does not have only one solution because the lines intersect at one point.
The system of equations does not have only one solution because the lines do not intersect at only one point.

Answers

Answer:

The system of equations does not have only one solution because the lines do not intersect at only one point.

Step-by-step explanation:

If the lines are covered by each other, they intersect at all the points they overlap on. So, there is more than on solution.

The following statement is correct.

The system of equations does not have only one solution because the lines do not intersect at only one point.

The following information should be considered:

In the case when the system of linear equations is graphed and one line is overlap to the other one.So here the system of equation contains more than one solution as the lines are not intersected at only one point but more than one point.

Learn more: brainly.com/question/17429689

A company sells meal kits. Suppose that 70% of the first-time customers who order a vegetarian meal will order
again, while 65% of the first-time customers who order a gluten-free meal will order again. The company takes
separate random samples of 50 first-time customers who order each kind of meal. The company will then look at
the difference (vegetarian – gluten free) between the proportions of customers who order again in each
sample.
What will be the shape of the sampling distribution of the difference in sample proportions, and why?

Answers

Answer: A

Approximately normal, because we expect 35 successes and 15 failures from vegetarian orders, and 32.5 and 17.5 from gluten-free orders, and all of these counts are at least 10

Step-by-step explanation: Khan Answer

For vegetarian orders 70% order again, so with a sample size of 50 we will have an estimated 35 people order again: [tex].7*50=35,50-35=15[/tex] This results in 35 successes and 15 failures. For gluten-free orders 65% order again, so with a sample size of 50 we will have an estimated 32.5 people order again:[tex].65*50=32.5,50-32.5=17.5[/tex] This results in 32.5 successes and 15 failures. Because these are all greater than 10, we can assume normality.

Answer:

Approximately normal, because we expect 35 successes and 15 failures from vegetarian orders, and 32.5 and 17.5 from gluten-free orders, and all of these counts are at least 10

Step-by-step explanation:

A pool measuring 12 meters by 26 meters is surrounded by a path of uniform​ width, as shown in the figure. If the area of the pool and the path combined is 576 square​ meters, what is the width of the​ path?

The width of the path is __?__ meters

Answers

Answer:

path width = 3 m

Step-by-step explanation:

let x = the width of the path

(12 + 2x)(26 + 2x) = 576

312 + 24x + 52x + 4x² = 576

4x² + 76x - 264 = 0

divide both sides of the equation by 4:

x² + 19x - 66 = 0

(x + 22)(x - 3)= 0

x = 3 m

Rearrange the equation so uuu is the independent variable.
-12u+13=8w-3

Answers

Answer:

u = 8w-16 /-12        or  =  - 8w-16/12 both mean the same due to the a/-b- = -a/b rule. Then you can factor out the rest. note the fnew subtraction changes mean the same as - (a/b) and should show without brackets as a centre pointing whole fraction subtraction sign.

Step-by-step explanation:

-12u -13 = 8w-3

-12u+13 -13 = 8w-3-13     Eliminate -13 by +13 both sides

-12u = 8w-16                      So you are left with one value left side.

-12u/-12  =  8/-12 - 16/-12   Then divide all values by -12 to find value for u and keep the subtraction as 8 never had subtraction sign and no multiplication .

u = 8w-16 /-12                   Then you can factor out the rest

This has made u the independent variable then you have a choice to continue showing or ignore u; as u =

=       -  8(w-2)/12       Step 1   Factor with subtraction change from -12  to - central fraction

=         - 2(w-2)/3      Step 2   Simplify with new minus sign for central fraction to replace a/-b

Answer:

The answer is W = -3/2u + 2

Step-by-step explanation:

Look at attachment:

Hope this helps! :)

There are 12 boys and 15 girls in your class for new students three boys and one girl join your class what is the ratio of the class before the new students and after the new students arrived

Answers

Before the new kids the ratio of girls to boys is 15:12 because there are 15 girls and 12 boys now you can simplify by dividing 15 by 3 and 12 by 3 to get 5:4 as your simplified ratio. As far as after the new kids. Since there is 1 new girl you do 15+1 to get 16 and there are 3 new boys so you do 12+3 to get 15 now 16:15 is already in simplest form so your answer is:

Before: 15:12 simplified as 5:4
After 16:15

Answer:

4/5 : 15/16

Step-by-step explanation:

Ok let's write the ratio of boys to girls before the new students arrived

12 : 15

Simplify :

12/3:15/3

4 : 5

Lets write the ratio of students after the new students arrived

15 : 16

Cannot be Simplified.

We have two ratios

Lets write them as fractions

4 : 5 = 4/5

15 : 16 = 15/16

The new ratio should be

4/5:15/16

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Please help I’ll give brainliest! Due today. I need Sin Z, Tan z, and Cos Z

Answers

Sinx = 4/5, cosx = 3/5 and tanx = 4/3

Wendy is making potato salad for a picnic. One sack of potatoes weighs 14 pounds.What is the weight of a sack of potatoes in ounces

Answers

Answer:

224 ounces

Step-by-step explanation:

1 pound is 16 ounces, 14 multiplied by 16 is 224

every pound equal 16 ounces so 14 × 16 = 224

At Dela's Dell, Dela fills containers with homemade vinaigrette salad dressing. The table shows the amount of vinegar and olive oil used for the dressing.
Number of containers Vinegar (tsp) Olive Oil (tsp)
2
6.5
1
4
At this rate, how much vinegar and olive oil will be used to make 4 containers of salad dressing?
O Dela will use 5 teaspoons of vinegar and 9.5 teaspoons of olive oil to make 4 containers of salad dressing
O
Dela will use 8 teaspoons of vinegar and 9.5 teaspoons of olive oil to make 4 containers of salad dressing
O Dela will use 5 teaspoons of vinegar and 26 teaspoons of olive oil to make 4 containers of salad dressing
O Dela will use 6 teaspoons of vinegar and 26 teaspoons of olive oil to make 4 containers of salad dressing

Answers

At Dela's Dell, Dela fills containers with homemade vinaigrette salad dressing. The correct option is: O Dela will use 8 teaspoons of vinegar and 26 teaspoons of olive oil to make 4 containers of salad dressing.

To find out how much vinegar and olive oil will be used to make 4 containers of salad dressing, we need to calculate the total amount of vinegar and olive oil used per container and then multiply it by the number of containers.

From the table, we can see that for each container, 2 teaspoons of vinegar and 6.5 teaspoons of olive oil are used.

To find the total amount of vinegar and olive oil for 4 containers, we multiply these amounts by 4:

Vinegar: 2 teaspoons/container * 4 containers = 8 teaspoons

Olive Oil: 6.5 teaspoons/container * 4 containers = 26 teaspoons

Dela will use 8 teaspoons of vinegar and 26 teaspoons of olive oil to make 4 containers of salad dressing.

The correct option is: O Dela will use 8 teaspoons of vinegar and 26 teaspoons of olive oil to make 4 containers of salad dressing.

For more such questions on containers

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