When a circular plate of metal is heated in an oven its radius increases at a rate of 0.01 cm/min. at what rate is the plates areas increasing when the radius is 54 cm?

Answers

Answer 1

Answer:

3.3912cm³/min

Step-by-step explanation:

Area of the circular plate = πr² where r is the radius of the plate.

dA/dt is the rate at which the plate is increasing

since dA/dr = 2πr and dr/dt = 0.01cm/min

dA/dt = dA/dr * dr/dt

dA/dt = 2πr dr/dt

dA/dt = 2π(54)(0.01)

dA/dt = 2π(0.54)

dA/dt = 3.3912cm³/min

Hence the rate at which the plates area is increasing when the radius is 54cm is 3.3912cm³/min


Related Questions

6. a) Round 50.24 to the nearest whole number. Draw a number line to show your thinking.

Answers

Answer:

50

I've attached the drawing of my number line to show my thinking.  Download to turn it in if you need to.

Have a beautiful day, and stay safe.

hellpppppp please I will give brainliest​

Answers

Answer:

I think the answer is y=2x-2

Hope it is correct! The x is positive because the angle is pointing to the right, and the -2 came from the position of the line.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:


What is an equation for the line that passes through the points (-2, 3) and (2, 1)

Answers

First find slope
(1-3)/(2+2) = -2/4 = -1/2
Y = -1/2x + b, plug in point
3 = -1/2(-2) + b
3 = 1 + b, b= 2
Final equation: y = -1/2x + 3

Helllppppppp. A wheelbarrow has a wheel with a diameter of 10 in. What is the distance, in
inches, that the wheelbarrow moves after 16 full rotations of the wheel?

Answers

Answer:

160 in.

Step-by-step explanation:

10 *  16 = 160

Help me with this please

Answers

Answer:

101.5m left to use after the big top goes up.

Step-by-step explanation:

18*10=180  [tex]\pi[/tex]r[tex]x^{2}[/tex]= 3.14*5^{2}=3.14*25=78.5

180-78.5= 101.5m

Make w the subject of the formula y - aw = 2w - 1

Answers

Answer:

[tex]w=\frac{y+1}{a-2} (a\neq 2)[/tex]

Step-by-step explanation:

[tex]y - aw=2w-1\\y-aw-2w=-1\\-aw-2w=-1-y\\-w(a-2)=-(y+1)\\w(a-2)=y+1\\w=\frac{y+1}{a-2} (a\neq 2)[/tex]

Hope this helps!

FOR 20 POINTS!!!!! Luis has $12 and wants to buy 6.6 pounds of apples. Apples cost $1.80 per pound. Luis rounded each value and estimated that he does not have enough money to cover the cost of the apples before sales tax is applied. Which best explains how his estimate relates to the actual product? Because each value rounds up, his estimate is higher than the actual product. He might have enough money to buy the apples. Because each value rounds up, his estimate is higher than the actual product. He does not have enough money to buy the apples. Because each value rounds up, his estimate is lower than the actual product. He does not have enough money to buy the apples. Because each value rounds up, his estimate is lower than the actual product. He might have enough money to buy the apples.

Answers

Answer: Hope this helps.

Because each value rounds up, his estimate is higher than the actual product. He might have enough money to buy the apples. So A.

Step-by-step explanation:

We don't actually know what it was that Luis was estimating. Assuming he was estimating the cost of the apples he wants to buy, rounding up both the price and quantity will give an estimate of $2/lb × 7 lb = $14, which is more than he has to spend.

Luis could refine his estimate by realizing the actual price is 10% less than the vaue he used, and the actual quantity is not quite 6% less than the value he used. The amount Luis has is about 14% less than the cost he estimated, so considering estimation errors, he probabaly has enough money.

The best choice among the answers is the one shown above.

Estimate the:
length of a pen
length of a swimming pool
length of a marathon race​

Answers

Answers for question:

length of a pen:

5.2 inches 13.12 cm

length of a swimming pool:

50m

length of a marathon race:

42.195 kilometers

hope this answers your question!

can u pls help me with this question ​

Answers

Answer:

The correct answer is D, 6/8.

Step-by-step explanation:

For ratios or fractions an equivalent fraction has the same value but just more pieces. Think of it like a pizza. But to make sure they are equivalent you have to multiply or divide them by a fraction equal to 1. In other words the numerator and the denominator have to be the same number. So, when we multiply 3/4 by 2/2 you get 6/8 because 3 x 2 = 6 (numerators) and 4 x 2 = 8 (denominators).

If you have any additional questions please don't hesitate to ask me or your teacher to be sure you master the subject. Stay safe and please mark brainliest! :)

In a group of 20 students, there are 7 boys. What is the ratio of girls to boys?

Answers

Answer: percent is 0.53%

The ratio is 7 to 13 so you just divide 7/13

Step-by-step explanation:

4n-(7-6n)


Helppp plz

Answers

4n - (7-6n)
4n -7 +6n (multiply minus to 7-6n)
10n -7 is the answer

Solve each equation. y + 20 = 7

Answers

Answer:

I Meant y =  -13

Step-by-step explanation:

Answer:

y= -13

Step-by-step explanation:

-13 plus 20 is 7

plug the -13 in where the y is and do the equation

-13+20=7

What is the factored form of the equation 4x^2-11+6=0

Answers

Answer:

(4x−3)(x−2)=0

Step-by-step explanation:

Step-by-step explanation:

4x²-11+6=0

4x²-5=0

x²=5

4

x=√5

4

hope it help u

This graph shows linear
y = f(x) and y = g(x).

Find the solution to the equation f(x) - g(x) = 0

Answers

Step-by-step explanation:

This graph shows linear

y = f(x) and y = g(x).

Find the solution to the equation f(x) - g(x) = 0

Help plzzzz will give brainliest

Answers

Answer:

It's positive.

Step-by-step explanation:

There are many reasons.... but one of the obvious ones is that it would've shown negative, correct?

It’s positive. Both the x and y axis continue to go up

Find the perimeter for the irregular polygons below

Answers

Answer:

1. 23

2. 17

Step-by-step explanation:

perimeter is the sum of length of all sides of a figure so if you add up the lengths of the sides you get 23 and 17 respectively.

If $2,500 is invested at 12% annual interest, which is compounded continuously, what is the account balance after 3 years, assuming no additional deposits or withdrawals are made?

Answers

Answer: 3,583.32

Step-by-step explanation:

Use money chimp calculator

HELP ASAP PLZZZZ, I’m begging!

Answers

Answer:

I think it's B

Step-by-step explanation:

I believe the answer is C

HELP ME ASAP!
What is the result when the number 44 is decreased by 75%?

Answers

Answer:

11

Step-by-step explanation:

Which best describes the error in solving the system of linear equations?
Only the x-value is given.
The wrong value for x is given.
The blue line is graphed incorrectly.
The red line is graphed incorrectly.

Answers

Answer:

a. Only the x-value is given.

Step-by-step explanation:

Taking a look at the graph of both equations, both equations are graphed correctly, because the slope (m) and y-intercept (b) values corresponds of each equation corresponds with what we have on the graph representing each equation.

The solution of two linear equations ought to be in a coordinate pair, (x, y). This means the x-value and it's correaponding y-value of the solution needs to be stated, not just the x-value.

Thus, the correct solution. Of the two linear equations are x = 4, when y = 3.

Solution in coordinate pair form is (4, 3).

Therefore, the statement that describes the error is:

a. Only the x-value is given.

what function best models the data and what wil be the chicken breast after 50 miutes​

Answers

Answer:

Students use linear, quadratic, and exponential functions to model data from tables and choose the regression

most appropriate to a given context. They use the correlation coefficient to determine the accuracy of a

regression model and then interpret the function in context. They then make predictions based on their model

and use an appropriate level of precision for reporting results and solutions.  

Lesson 7 focuses on data sets that cannot be modeled accurately, and students are asked

to articulate why. Students use skills learned in Lesson 14 of Module 2 (where they used

calculators to write linear regressions) and apply similar techniques for data sets that are

better suited to modeling with quadratic or exponential regressions. Students use that

same technique to find linear regressions and use their graphing calculators to examine

the correlation coefficient and to find quadratic and exponential regressions. They

compare correlation coefficients to determine which model is best for the data.

Ultimately, students choose the regression model (linear, quadratic, or exponential) most

appropriate to a given data set and then write, verify, and interpret these models in

context. Students need a graphing calculator to complete this lesson. Graphing calculator

instructions are provided, but steps may vary slightly depending on the model of the

graphing calculator.

Refer to the following full modeling cycle during this lesson (Found on page 61 of the CCLS

and page 72 of the CCSSM).

Scaffolding:

 Students are more

engaged when working

with relevant and real data

that interests them.

Websites that provide

data sets are a good

resource for classroom

investigations.

 This lesson might need to

be divided into two days if

students need more time

to master the technology.

Step-by-step explanation:

A triangle has angles of 30° 60° and 90° It is dilated by a scale factor of three give the angle measures of the dilation of the triangle

Answers

The scale factor will create a similar triangle and thus there will be no change in angles so angles will still be 30° 60° and 90°.

What is the scale factor?

You must specify the extent of the shape's enlargement when describing one.

The scale factor is the ratio of two dimensions such that one figure is large and another is small.

The scale factor is done due to the unpractical measurement of any figure.

Scale factor gives either a small or big similar image of a triangle, for example, if we have a triangle with vertices 2,4,6 and it is scaled by 1/2 then the resultant dimension will 1,2,3 but angles still remain the same.

Hence "The scale factor will create a similar triangle and thus there will be no change in angles so angles will still be 30° 60° and 90°".

To learn more about scale factors,

brainly.com/question/22312172

#SPJ1

WHATS A FUTURE FUNKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKK

500,325+6,773,500,135

Answers

Answer: future the time or a period of time following the moment of speaking or writing; time regarded as still to come.

Step-by-step explanation:

I need help plz!!!!!! Will give 100 points.
Point-Slope Form: y - 5 = 3(x - 1)
Standard Form: ???? HELP

Answers

Answer : y = 3x + 2.
Explained : Distribute 3 to what’s inside of the parenthesis. Now you have y - 5 = 3x - 3. Add 5 to both sides and you have y = 3x + 2. Final answer.

During the winter months, heating bills can be expensive. A contractor claims that installing a new brand of insulation will considerably lower your heating bill (which was $205 last month). After conducting the test (assuming the data were provided). you find that the results are significant at the 5% level. You may also conclude: __________.a. the test would also be significant at the 10% level. b. the test would also be significant at the 1% level. c. both of the above. d. none of the above.

Answers

Answer:

The correct option is  a

Step-by-step explanation:

Generally the null hypothesis is  rejected (that the result is significant ) when the p-value is less that the the level of significance

Now from the question when the the level of significance was 5% the p-value was less than the level of significance so also when the level of significance is   10% the p-value will be less than the level of significance hence null hypothesis will also be rejected at this level(that is the result will also  be significant at the level of significance )  

Two-thirds of the fruit in a basket are apples. One-fourth of the apples are green apples. What fraction of the fruit in the basket are green apples?

Answers

Answer:

1/6

Step-by-step explanation:

2/3*1/4

=2/12

=1/6

PLS GIVE BRAINLIEST

First, we need to find the least common denominator. This would be 12. So, our new fractions would be 8/12 and 3/12. We know that 8/12 of the basket are apples, and we need to take away the 3/12 of the green apples. This means there are 5/12 of the red apples.

Hope this helps :)

can someone answer these?

Answers

Answer:

1. SSS

2.SSA

3.ASA

Step-by-step explanation:

For number one there is three congruent sides with the on in the middle

For number two there is two sides and one angle congruent

And number three has an embedded side between the two angles

which two triangles are congruent? complete the congruence statement.​

Answers

The two at the top not the one at the botton

Pls help ASAP WILL GIVE BRAINEST :/

Answers

Answer:

6+7(b-1)=5+b
6+7b-7=5+b
-1+7b=5+b
7b-b=5+1
6b=6
6b/6=6/6
b=1

Step-by-step explanation:

b=1 the person above or below me has the explanation

the price of a video game was reduced by $60 to 45. By what percentage was the price of the video game reduced?

Answers

Answer:

25% reduced

Step-by-step explanation:

45/60= .75

1-.75=.25

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