cake batter poured into a pan creates a circular batter pattern whose radius increases at a constant rate of 1 in/sec. at what rate is the total batter area increasing at the end of 4 second

Answers

Answer 1

Answer:

8 π .

Step-by-step explanation:

radius increases at a constant rate of 1 in/sec.

dr / dt = 1

where r is radius .

radius after 4 sec

r = 1 x 4 = 4 in

area A = π r²

differentiating both sides

dA / dt = 2 π r dr / dt

Putting dr / dt  = 1 , r = 4 in

dA / dt = 2 π x 4 x 1

= 8 π sq in per sec.

Area increases at the rate of 8 π per sec.


Related Questions

solve the following inequality.2×-5<17​

Answers

Answer:

x=1

Step-by-step explanation:

2x-5<17

2x-5<17      Add 5 to both sides

    +5  +5

2x<22     Divide by 2 to get x alone

/2    /2

x=11

X=1 I think this is the answer

Which number on the number line is exactly halfway between 9/10 and 11/12

Answers

Answer:

2/2

Step-by-step explanation:

because take it away

[tex]4x^{2} *4x^{x}=[/tex]

Answers

16x^x+2

just simplify it

if you start from 0, how many steps do you have to take to get to -3. what does the number of steps represent​

Answers

Answer:

3 steps

Step-by-step explanation:

FIrst of all, if you think about it, we can just say -3 as 3 ( even though they are not equal, were just counting steps.)

On a number line, negative numbers are on the left of 0 and positive on the right of 0.

So, lets say the middle number is 0 on our number line. -3 is 3 steps to the left. We take 1 step to negative 1, another step to -2, and then a 3rd and final step to -3.

The steps represent how far the number is from 0. FIr example, we have to add 3 to -3 to get to 0, like how we add 7 to 0 to get 7!

Hope this helps!

Answer:

If you start at 0, you would have to take 3 steps back or -3 steps.

The number of steps represent the positive and negative numbers on the number line.

Step-by-step explanation:

I did the question

Please help ASAP!!!!!!!!!!!

Answers

Answer:

the answer is 1/5

Step-by-step explanation:

constant of proportionality is determined by y/x. if y is 2 and x is 10 then 2/10=1/5

It would be 1/5 y=2 x=10 then 2/10= 1/5

Leon's older brother is 4 3/4 feet tall. Leon is 1/3 foot shorter than his brother . How tall is leon?

Answers

Let

x------> height of Leon's older brother

y------> height of Leon

Convert mixed number to an improper fraction

4\frac{3}{4}\ ft=\frac{4*4+3}{4}= \frac{19}{4}\ ft443 ft=44∗4+3=419 ft

we know that

x=\frac{19}{4}\ ftx=419 ft -----> equation A

y=x-\frac{1}{3}y=x−31 -----> equation B

substitute equation A in equation B

y=\frac{19}{4}-\frac{1}{3}=\frac{53}{12}\ fty=419−31=1253 ft

Convert to mixed number

\frac{53}{12}=\frac{48}{12}+\frac{5}{12}=4\frac{5}{12}\ ft1253=1248+125=4125 ft

therefore

the answer is

4\frac{5}{12}\ ft4125 ft

Answer:

4 3/4 - 1/3 = 4 5/12

Step-by-step explanation:

4 9/12 - 4/12 = 4 5/12

I’m gonna get in trouble if I don’t get this done please help me!!

Answers

Answer:

the 2nd and last one

Step-by-step explanation:

Answer:

B. Each gallon costs $3

and

D. 8 gallons cost $24

Write an expression for the sequence of operations described below.
raise 2 to the 5th power, then find the product of the result and w
Do not simplify any part of the expression.

Answers

Answer:

2x2x2x2x2, 32

Step-by-step explanation:

Basically just multiplying 2 by itself 5 times.

2x2=4

2x2x2=8

2x2x2x2=16

2x2x2x2x2=32

If triangle ABC is similar to triangle AVW, find the values of x and y

Answers

Answer: x = 7.2, y = 7.5

Step-by-step explanation:

Similar triangles have the same proportions.

Since ABC ≅  DEF, then  

Let's solve for x:

   

⇒  

⇒  

⇒  

⇒  

⇒  

Let's solve for y:

   

⇒  

⇒  

⇒  

⇒  

The ratio of corresponding sides is same for all the sides for similar triangles. The value [tex]x[/tex] is 17.5 units and value of [tex]y[/tex] is 19.2 units.

What are the properties of similar polygon?

Two polygons are said to be similar or congruent pentagon-

The corresponding angle of two pentagons are congruent.The ratio of corresponding sides is same for all the sides.

Given information-

In the given figure,

[tex]\Delta ABC\cong \Delta AVW[/tex]

As for the similar triangle the ratios of corresponding sides is same for all the sides. Hence,

[tex]\dfrac{AB}{AV} =\dfrac{BC}{VW} =\dfrac{AC}{AW}[/tex]

Take two ratios to find [tex]x[/tex],

[tex]\dfrac{BC}{VW} =\dfrac{AC}{AW}[/tex]

Put the values,

[tex]\dfrac{16}{10} =\dfrac{28}{x}\\16x=280\\x=\dfrac{280}{16} \\x=17.5[/tex]

Take another two ratios to find [tex]y[/tex],

[tex]\dfrac{BC}{VW} =\dfrac{AB}{AV}[/tex]

Put the values,

[tex]\dfrac{16}{10} =\dfrac{y}{12}\\16\times12=10y\\y=\dfrac{192}{10} \\y=19.2[/tex]

Hence, the value [tex]x[/tex] is 17.5 units and value of [tex]y[/tex] is 19.2 units.

Learn more about the similar polygon here;

https://brainly.com/question/17756657

14x+28y+21 = ?
Factor completely.

Answers

The answer: 7(2x+4y+3)

Answer:

14x+28+21=

14*1+28*1+21

14+28+21

35+28

63

Step-by-step explanation:

Which equation represents the sentence:
Amanda's age is four less than three times Jacob's age.
A.a=3c−4
B.a−4=3c
C.4a=3+c
D.a=4−3c

Answers

Answer:

a.) 1/2n 4=3−5/n b.) 1/2(n 4)=5/n−3 c.) 1/2(n 4)=3−5/n d.) 1/2n 4=5/n−3

Let's assume the number be n.

So, sum of number and four can be written as n+4.

Now one-half of n+4 will be .

Quotient of five and the number can be written as .

Now three less \frac{5}{n} can be written as \frac{5}{n} -3.

So, one-half the sum of a number and four is three less than the quotient of five and the number can be converted into equation as follows:

So, b is the correct choice.

Step-by-step explanation:

Can you mark brainliest

Yooo help. I attached a pic of the question

Answers

Answer:

will it will be D because That the y - intercept

Examine the diagram.
The mZ1 is
the 63° angle.
What is the measure of angle 1?
v degrees
1
63°

Answers

Answer:

1. the supplement of

2. 117

Step-by-step explanation:

got it right

Answer:

The m∠1 is

the supplement of

the 63° angle.

What is the measure of angle 1?

117

degrees

The total weight of 15 containers on a freight train is 330 tonnes. What is the mean weight of the containers?

Answers

Answer:

the mean weight is 22 tonnes

Step-by-step explanation:

mean=total sum/number of numbers you added

in this case the question already gave you the total so just divide right away

mean weight= 330/15 = 22 tonnes

if i ate 1/4 of a pizza. what fraction of the pizza is left?​

Answers

3/4th of the pizza is left Could you slide a Brainly? I’m trynna get to expert

Can someone help me please

Answers

Answer:

A. addition property of equality

Step-by-step explanation:

To make x stand alone, "5" was added to both sides of the equation. The property that is applied here is the addition property of equality.

Adding "5" to both sides of the equation makes the equation balanced.

The answer is: A. addition property of equality

What is 2/6 x 3/9 i need help

Answers

Answer:1/9

Step-by-step explanation:

Simplified:

1/3 x 1/3

1/9

6/54 but simplified its 1/9

HELP PLEASE! This is the problem I am doing:

Evaluate 12.3v+11.7w when v=7 and w=8.
12.3(_)+11.7(_)=__ +93.6
= __

Please help ​

Answers

12.3(7) + 11.7(8) =
86.1 + 93.6 = 179.7

179.7 + 93.6 = 273.3

Mr. Moreno drove 60 miles in March. He drove 10 times as many miles in March as he did in January. He drove 6 times as many miles in February as he did in January. How many miles did Mr. Moreno drive in February?

Answers

Answer:36 miles

Step-by-step explanation:

60/10=6

6x6=36

A florist just received a shipment of 1308 roses. How many bouquets of a dozen roses can the florist make using the shipment of roses?

Answers

Answer: 109

Step-by-step explanation:

1308 divided by 12 = 109

Answer:

109

Step-by-step explanation:

1,308 divided by 12 equals 109

HELP PLS! whoever gets it right gets brainliest!!

Answers

Answer:

(7, -4)

Step-by-step explanation:

it's the only one remotely close to the line.

HELP PLEASE WILL GIVE BRAINLIEST BE QUICK

Answers

Answer:

(2,0) and (4,0)

Step-by-step explanation:

The roots of the parabola are the points where the value of the function is zero, i.e., where the graph crosses the x-axis.

(2,0) and (4,0)

2x+17=25 helppppppppppppop

Answers

Answer:

x=4

Step-by-step explanation:

2x+17=25

First subtract 17 from both 17 and 25

2x=8

Now to isolate the exponent, divide by two for both the 2x and 8

x=4

Hope this helped!

What is the distance between the points (5, 1) and (-3, -5)?

Answers

The distance between the points is 10.

You pay sales tax on your purchases at the rate of 0.07. What fraction of your money is​ this? Remember to reduce your fraction to its lowest terms.
0.07 is equal to
nothing

Answers

Answer:

This is [tex]\frac{7}{100}[/tex] of your money.

Step-by-step explanation:

We have a decimal number, and we want the answer to be a fraction. To transform a decimal number into a fraction, we multiply both the numerator and the denominator by 10 until none of them have decimal parts. So

[tex]0.07\times \frac{10}{10} = \frac{0.7}{10}\times \frac{10}{10} = \frac{7}{100}[/tex]

This is [tex]\frac{7}{100}[/tex] of your money.

Please help me I don’t know y but it’s hard

Answers

Answer:

6

Step-by-step explanation:

hope this helps

1 sorry ceds to the person who commented under me

PLEASE HELP!! WILL MARK BRAINLY

Answers

Answer:

arc length = 84.82 cm

Step-by-step explanation:

arc length = 36 * 3π/4

arc length = 3π * 9

arc length = 84.82 cm

Hope this helps!

When x = 1, then y =

Answers

Answer:

y=3..................

i will give give brainliest to first correct answer!! pls pls pls

Answers

Answer: (0,-3)

Step-by-step explanation:

what percentage of the students in the servey have a car

Answers

Answer:

E

Step-by-step explanation:

64%

Answer: dont see a servay but 60

Step-by-step explanation:

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