A constant volume of pizza dough is formed into a cylinder with a relatively small height and large radius. The dough is spun and tossed into the air in such a way that the height of the dough decreases the radius increases, it retains its cylindrical shapeAt time of the dough 1/3 inch, the radius of the dough is 12 inches, and the radius of the dough is increasing at a rate of 2 inches per minute at the area of the circular surface of the dough increasing with respect to time? Show answer and numerical answer and units of measure.

Answers

Answer 1

Answer:

The rate of change of each circular surface of the dough is approximately 150.796 in.²/minute

Step-by-step explanation:

The given parameters are;

When the radius of the dough, r = 12 inches, the radius is increasing at 2 inches per minute

Therefore, we have;

dr/dt = 2 in./min

The area of the circular surface of the dough, A = π·r²

The rate of change of each (top or bottom) circular surface area of the dough dA/dt is given as follows;

dA/dt = d(π·r²)/dt = π·2·r·dr/dt

Where;

r = 12 in.

dr/dt = 2 in./min

Substituting, we have;

dA/dt = π·2·r·dr/dt = π × 2 × 12 in. × 2 in./min ≈ 150.796 in.²/minute.

The rate of change of each circular surface of the dough = dA/dt ≈ 150.796 in.²/minute.


Related Questions

Help please ASAP please I’ll mark you as brainlister

Answers

Answer:

a = 4

Step-by-step explanation:

[tex] \sin(theta) = \frac{opposite}{hypotenuse} [/tex]

[tex] \cos(theta) = \frac{adjacent}{hypotenuse} [/tex]

[tex] \tan(theta) = \frac{opposite}{adjacent} [/tex]

hypotenuse = a

opposite = 2√3

adjacent = b

theta = 60°

the best formula to use is the first formula cause we have all the values to substitute in it in order to find the value of a

[tex] \sin(60) = \frac{2 \sqrt{3} }{a} [/tex]

[tex] \frac{2 \sqrt{3} }{ \sin(60) } = a[/tex]

[tex]4 = a[/tex]

[tex]a = 4[/tex]

A store is having a sale on office
products. Leo buys 4 notebooks that
have a regular price of $3.30 each. They
are on sale for 20% off the regular
price. How much does Leo pay for the
4 notebooks before sales tax?
A $0.66
B $2.64
C$10.56
D $13.20

Answers

Answer:

c. $10.56

Step-by-step explanation:

$3.30 x 4 = $13.20 x 0.20 (20%) = $2.64

$13.20 - $2.64 = $10.56

I’m begging please help me with this

Answers

one solution i think it has one solution

Gracelyn has 3 more children than Ella has. Gracelyn has 9 children.

How any children does Ella have?
Pick an equation and then solve
a3-x=9
b9x=3
c3/x=9 (fraction)
dx+9=3
ex-3=9
f3x=9
gx+3=9
h.x/3=9 (fraction)

Answers

It is 9x=3
It could simply be 9-3 or 3+x=9

How could Grace handle those children?!? My parents have trouble handling 4 kids

1. Use the points in the diagram to name the figure
1)JS↔️
2JS➡️
3)JS—
4)JS

Answers

Answer:

The correct option is;

[tex]\ \underset{JS}{\rightarrow} \right |[/tex]

Step-by-step explanation:

The given diagram consists of a a starting point, J having a direction passing through the point S and the line has one arrowhead on the right pointing to infinity, which is the symbol for a ray, JS

The denotation of a ray is made by the name of the ray having an overhead arrow as follows;

ray [tex]\ \underset{JS}{\rightarrow} \right |[/tex]

Option B is correct that is [tex]\overrightarrow{JS}[/tex].

Vector

It has magnitude, direction, and follows the law of vector addition.

How to find the direction of vectro?

As the direction is given from J to S. our JS vector becomes [tex]\overrightarrow{JS}[/tex].

Thus, option B is correct that is [tex]\overrightarrow{JS}[/tex].

More about the vector link is given below.

https://brainly.com/question/13188123

what is a/4 - 5/6 = -1/2 pls help

Answers

Answer:

it is 4/3 or 1.333333...

Step-by-step explanation:

make it braintliest please

Answer:

a/4-5/6=-1/2

or, 3a-10 /12 = -1/2. ( putting the factor)

or, 6a-20 =-12 (cross multiplication)

or, 6a= -12+20

or, a=8/6

or, a = 1.33 ( 4/3)

5. Adam spent half of his weekly allowance buying lunch. To earn
more money his parents let him shovel snow for $9.30.
What is his weekly allowance if he ended with $15.10?

Answers

Answer: $11.60

Explanation: First, you want to do 15.1 - 9.3 to find what half of his weekly allowance is, and that would be 5.8, AKA $5.80. Next, you want to multiply that number by 2, which would be 5.8(2) to get 11.6, or your final answer, $11.60.

Solve the proportion.
Need help right now!!

Answers

Answer:

k=5

Step-by-step explanation:

please tell me if wrong

Answer:

The answer is b or k=5.

Step-by-step explanation:

this should be right I just did that problem

n=1,064÷28
anyone knows the answer \

Answers

I think the answer is 38

Answer:

n=38

Step-by-step explanation:

Select all ratios equivalent to 2:5

Answers

Answer:

Sorry but ummm... you forgot to add a screenshot... :/

Step-by-step explanation:

Maybe post that question again with a screenshot

Answer:

16 : 40

Step-by-step explanation:

it is the only option that will work

Jif peanut butter costs $3.29 for 16 oz. Skippy peanut butter costs $7.69 for 40 oz. Which is the better buy?

Answers

40 oz is better cause 3.29 x 2 is 6.58 for 32 oz add 8oz or 1.50 add you get 8.08

What is -3 + 4 is it 1, -1, 7 or -7?

Answers

Answer:

The Answer Is 1

Step-by-step explanation:

Because if you take -3+4 you get 1

need help plz, completely don’t understand :(

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

In each empty table square, fill in the value that is computed by replacing 'n' in the rule to the left with the value of 'n' above that square.

For example:

The upper left empty square will be filled with ...

  n -5 . . . . with n replaced by 1

  1 - 5 = -4 . . . . the value that goes in the upper left square.

__

Another example:

The lower right square will be filled with ...

  4n -3 . . . . with n replaced by 100

  4·100 -3 = 400 -3 = 397 . . . . the value that goes in the lower right square

_____

Additional comment

When there are numerous table values to fill, it can be convenient to let a spreadsheet do the calculations. Here, each formula was entered once, then filled to the right.


The area of a rectangle is 276.9 m². If the length is 15 m, what is the perimeter of the
rectangle?

Answers

Answer:

[tex]66.92\:\mathrm{m}[/tex]

Step-by-step explanation:

The area of a rectangle is given by [tex]l\cdot w[/tex] where [tex]l[/tex] is the length of the rectangle and [tex]w[/tex] is the width of the rectangle. Therefore, based on the information given, we can write the following equation to solve for the width:

[tex]15\cdot w=276.9,\\w=\frac{276.9}{15},\\w=18.46\:\mathrm{m}[/tex].

The perimeter of a rectangle is given by [tex]p=2w+2l[/tex]. Therefore, the perimeter of the rectangle is:

[tex]2(15)+2(18.46)=\fbox{$66.92\:\mathrm{m}$}[/tex].

-81 = 5x + 3x + 3x - 1
solve the multi step equation ​

Answers

Answer:

x= -7.27

Step-by-step explanation:

-81 = 5x + 3x + 3x - 1

combine all like terms

-81=11x-1

add 1 on both sides

-81=11x-1

+1 +1

-80=11x

divide by 11 on both sides to get x by itself

-80/11=11x/11

x=-7.27

Find the x- and y-intercepts of
3x – 4y = 24

Answers

y= -6
and
x= 8
i hope that helps :)

PLS HELP OMG ITS ALGEBRA 1 im gonna drop out at this point

Answers

Answer: h≈3.42in

Good luck!

What is the quotient of (x cubed + 3 x squared minus 4 x minus 12) divided by (x squared + 5 x + 6)?

Answers

Answer:

x – 2

Step-by-step explanation:

Answer:

B. x-2

Step-by-step explanation:

A video store charges $15 for a rental card plus $1.50 per rental. Write a linear equation in
slope-intercept form to model the situation.

Answers

Answer:

15 + 1.50x

Step-by-step explanation:

Clear selection
If I double a number, subtract 3 and the answer is 7, what number did I start 1 point
with?
10
5
4
6

Answers

Answer:

5

Step-by-step explanation:

if you double 5 you get 10 and if you remove 3 you get 7

Answer:

5

Step-by-step explanation:

since 5 +5 = 10 then you'd subtract 3 u would end up with 7

Amy want to buy a desk. The original price is 60$. It is on
sale for 10%. How much will amy save?

Answers

Answer:

20.40

Step-by-step explanation:

Answer:

10 dollars. I think.

Step-by-step explanation:

Use the diagram to prove that ∆CAS≅TAS.

Answers

The two-column proof that shows that ΔCAS ≅ ΔTAS by HL Congruence Theorem is shown in the table attached below.

What is the HL Congruence Theorem?The HL Congruence Theorem is used to prove two right triangles congruent if both triangles have a pair of congruent hypotenuse and a pair of congruent legs.

Thus, ΔCAS and ΔTAS both have a pair of congruent legs and a pair of congruent hypotenuse. Therefore, the two-column proof that shows that ΔCAS ≅ ΔTAS by HL Congruence Theorem is shown in the table attached below.

Learn more about the HL Congruence Theorem on:

https://brainly.com/question/4155972

I do draws a blueprint of a house using the scale 1 in equals 6 ft in the kitchen has a length of 24 ft what is the length of the kitchen on the blueprint

Answers

Answer:

Length of kitchen on blueprint = 4 in.

Step-by-step explanation:

Scale used to draw a blueprint of a house :

6 feet = 1 in.

Therefore, 1 feet = [tex]\frac{1}{6}[/tex] in.

If the length of kitchen = 24 feet

Then the length of kitchen on the blueprint will be

= [tex]\frac{1}{6}\times 24[/tex]

= 4 in.

Therefore, length of kitchen on blueprint is 4 in.

I'm not good at mathematics and I need a bit of help.​

Answers

Answer:

2/3

Step-by-step explanation:

5/6*4/5=20/30

20/30 divided by ten equals 2/3

the answer is 2/3

Helpppppp please like fr help mee

Answers

Answer:

The time he spent at his friend's house is represented by the horizontal line, from .5 to 1.5 hours, which means he stayed at his friend's house for 1 hour.

Answer:

1 hour

Step-by-step explanation:

1) so lets look at the various aspects of this graph,

the first thing we see is a downhill spike from(0,4) to (0.5,2)

we can assume this segment is from riding to his friends house from school, as thats the first thing stated in this scenario. Next we notice a horizontal line(note: horizontal line means 0 slope, AKA no distance travelled) since Joey is not travelling at this time(hence the horizontal line) we can assume that thats when he was at his friends house. to find the amount of time he was at his friends house simply subtract the endpoints of the horizontal line

so: 1.5-0.5=1

he was at his friends house for 1 hour

1 of 3
Enter the next 3 terms from the geometric sequence below.
2,8,32,...

T4=
T5=
T6=

Answers

Answer:

a

n

=

2

2

n

1

Step-by-step explanation:

hope this helps

Doah builds a gardening shed for her father's birthday Based on the measurements below what is the volume of the shed doah builds ?​

Answers

Answer:

672

Step-by-step explanation:

because im smart and youre not

14+x = -9

X equals what?

Answers

Answer:

x=−23

Step-by-step explanation:

14+x=−9

Step 1: Simplify both sides of the equation.

x+14=−9

Step 2: Subtract 14 from both sides.

x+14−14=−9−14

x=−23

Answer:

-23

Step-by-step explanation:

14+x =-9

-14      -14

x = -23

i need help pleaseee
screen shot attatched

Answers

Answer:

1,200 cubic cm

Step-by-step explanation:

First, you separate it into two prisms, which gives you two different volume formulas.

14*20*2 = 560

20*4*8 = 640

You then add the two volumes together, which equals 1,200

Answer:

sorry wish i could help....

Step-by-step explanation:

John's goal is to have more than -7−7minus, 7 dollars in his bank account by the end of the month. The variable ddd is the number of dollars in John's bank account at the end of the month

Answers

Answer:

tricky picky question pal,

Step-by-step explanation:

What are the awnswes

Answer:

d > -7.

Step-by-step explanation:

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