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


The function g(x) is a transformation of the cube root parent function, f(x) = 3/x . What function is g(x) help
Me

Answers

The function g(x) is a transformation of the cube root parent function f(x) = ∛x will be g(x) = ∛(x - 4) - 3. Then the correct option is D.

What is a function?

A statement, principle, or policy that creates the link between two variables is known as a function.

The function g(x) is a transformation of the cube root parent function that will be given below.

f(x) = ∛x.

If we subtract h in the variable of the function then the function shifts toward the left by h units.

And if we subtract k in the function then the function shifts downward by k units.

Then the function g(x) will be

g(x) = ∛(x - 4) - 3

Then the correct option is D.

More about the function link is given below.

https://brainly.com/question/5245372

#SPJ1

Select the correct answer. For what value of x is sin x = cos 19º, where 0°< x < 90°? OA. 38° ° O B. 71° OC. 26° O D. 19°​

Answers

Answer:

x = 71°

Option B is correct answer.

Step-by-step explanation:

We need to find for what value of x is [tex]sin\: x = cos 19^{\circ}[/tex], where 0°< x < 90°?

Solving:

[tex]sin\: x = cos\: 19^{\circ}\\Finding \:cos\: 19^{\circ}=0.94551\\Putting\:value:\\sin\:x=0.94551\\Now\:taking\:sin\:inverse\\x=sin^{-1}(0.94551)\\x=71^{\circ}[/tex]

So, we get x = 71°

Option B is correct answer.

17. Pour faire des petits cadeaux à ses proches, Johanne a décidé d'acheter
des petites feuilles en sucre d'érable au coût de 1,14$ chacune. Si elle a
dépensé 13,68$ au total, combien de feuilles a-t-elle achetées ?​

Answers

Answer:

12

Step-by-step explanation:

divisez 13.68 par 1.14 et vous obtenez 12.

Pour confirmer votre réponse, multipliez 1.14 par 12 et vous obtiendrez 13.68 (ce avec quoi vous avez commencé)

plssss say this makes sense i know absolutely nothing about french


MATH LOVERS PLS!!!!!!!

Answers

Answer:
7) C
8) A
9)D
10)B

A customer paid 9x + 11y dollars for a bag that contains x pounds of chocolate and y pounds of almonds.

Which statements about the expression are true?

Select the three statements that are true.

The amount the customer paid, in dollars, for the chocolate in the bag is 9x.

O The amount the customer paid, in dollars, for the chocolate in the bag is 11y.

The total weight of the bag of chocolate and almonds is 9x + 11y.

The total weight of the bag of chocolate and almonds is x + y.

The cost per pound of the chocolate is $11.

The cost per pound of the almonds is $11.

Answers

Answer:

*The amount the customer paid, in dollars, for the chocolate in the bag is 9x.

*The total weight of the bag of chocolate and almonds is x + y.

*The cost per pound of the almonds is $11.

Step-by-step explanation:

A customer paid 9x + 11y dollars for a bag that contains x pounds of chocolate and y pounds of almonds.

From the above questions, we know that:

The weight of Chocolate = x pounds

The weight of Almonds = y pounds

The cost per Chocolate = $9

The cost per Almonds = $11

Therefore, the three statements that are true are:

* The amount the customer paid, in dollars, for the chocolate in the bag is 9x.

* The total weight of the bag of chocolate and almonds is x + y.

*The cost per pound of the almonds is $11.

This is the one i need help with help and explain

Answers

Answer:

Step-by-step explanation:

count all the full squares...  12

and add 1/2 a square for the angled one

12.5  :)  or 12  1/2

Answer: 12.5 sq units

Step-by-step explanation:

Make two triangles (big and small triangle) and one rectangle. ( kinda like what's in the pic)

Area of big triangle:

b = 3  h = 3

1/2 x 3 x 3 = 4.5 sq units

Area of small triangle:

b = 2  h = 2

1/2 x 2 x 2 = 2 sq units

Area of rectangle:

l = 3   w = 2

3 x 2 = 6 sq units

Area of the figure: A. of rect. + A. of s. tri. + A. b. tri.

6 + 2 + 4.5 = 12.5 sq  units

Helpppp meeeeee pleaseeeee

Answers

Answer:

x+3=5 is the answer you're looking for.

Answer:

x+3=5

Step-by-step explanation:

Pls pls pls help!! And thank you I’m stuckk

Answers

Answer:

C = 12π

Step-by-step explanation:

The circumference (C) of a circle is calculated as

C = πd ( d is the diameter )

Here d = 12, then

C = 12π

11x – 2y = 20 in slope intercept form

Answers

Answer:

[tex]y=\frac{11}{2}x-10[/tex]

Step-by-step explanation:

Answer: y= 11/2 x - 10

Step-by-step explanation: I think

Simplify as fully as possible
4x²y^4 × (3xy²)² / 2x²y×4xy^9

Answers

Answer:

The answer is ;

9x/2y^2

Step-by-step explanation:

Here, we want to simplify as far as possible

Let us take all the numbers one after the other

All numbers on numerator and denominator;

(4 * 9)/(2 * 4) = 9/2

All x

(x^2 * x^2)/(x^2 * x) = x

All y

(y^4 * y^4)/(y * y^9) = y^8/y^10 = 1/y^2

So the complete answer is;

9/2 * x * 1/y^2

= 9x/2y^2

Rhonda bought 16.72 meters of yarn from the fabric store. She cut the yarn into 11 pieces of equal length. What was the length of each piece of yarn in meters?

Answers

The answer will be - 1.52 meter each piece

The figure below is the graph of the dimensions of a rectangle whose adjacent side lengths exhibit Inverse Variation (1,4) (2,2) (8,0.5) (16,0.25)

Answers

Answer: true

Step-by-step explanation:

PLZ HELP ME


6÷2(1+2)=?????

Answers

9

6/2x3

3x3

9

Hope I helped

which equation represents this graph?

Answers

Answer:

It would be the 1st answer, y= 3/2x + 2.

Step-by-step explanation:

The intersection on the Y axis determins the "+2". To find the slope, it is always x/y. It rises 3, and runs 2. Hope this helps

Combine like terms : 10a+11x+3+10-9a-9+2+6x

Answers

a+17x+6.................

Answer:

a+17x+6

Step-by-step explanation:

I NEED HELP PLZ ANSWER THIS

Answers

Answer:

A

Step-by-step explanation:

(✓x)^5

(x^1/2)^5

x^5/2

A its a i think pls correc tme

HELP GIVING BRAINLIEST NUMBER 5!!!!!!

Answers

Answer:

1 solution

Step-by-step explanation:

4x + 5 = 6(x+3) - 20 - 2x

4x + 5 = 6x + 18 - 20 - 2x

4x + 5 = 4x -2

X = 3 therefore, there is only one solution

Find the exact length of the third side.
39
36

Answers

The answer is 15 cm

39 cm, 15 cm, 36 cm

solve (−8x−12)+(9x+4)=

Answers

(-8x-12) + (9x+4)
= -8x+9x-12+4
= X - 8

Hi there, I just want to say happy new year and have a great rest of your day!
Also, can you please mark my answer as the brainliest answer?
Thank you!

Pls pls help I don’t have time HELP ASAP. It also detects if it’s right or wrong.

Answers

Answer:

10 cents an ounce‍♂️‍♂️

Answer:

10 I believe but I can't remember everything because I learned this like a year ago

An airplane begins decreasing its altitude as it approaches the runway. At time t=1, the pilot notes that he has an altitude of 30,000 feet. One minute later, his altitude drops to 29,450 feet. One minute after that, his altitude drops to 28,900 feet. Assuming this pattern continues, write a recursive formula for the altitude of the plane A(t) after t minutes.(1 point)

A(t)=30000+550(t−1)

A(t)=A(t−1)−550 for t>1, where A(1)=30000

A(t)=A(t−1)+550 for t>1, where A(1)=30000

A(t)=30000−550(t−1)

Answers

4th one btw I was a prospect elite on Brainly but I got banned

Answer: i think A(t)=30000−550(t−1)

Step-by-step explanation:

the equation of the line which has a gradient of 3 and passes through the point (-1,3)

Answers

Answer:

Call the line (d): y = ax + b

(d) intersects the vertical axis at the point where the intersection is 3 ⇒x = 0, y = 3 Instead of (d) we have: b = 3

(d) intersects the horizontal axis at the point where the coordinate is -1 ⇒x = −1, y = 0 Instead of (d) we have: −a + b = 0

Replace into b = 3 into -a + b = 0 we have: −a + 3 = 0⇔a = 3

So the equation for the line is y = 3x + 3

Step-by-step explanation:

Solve for z.

Z/4 - 11= -9

Z=

Answers

Answer:

8

Step-by-step explanation:

z/4 - 11 = -9

z/4 = 2

z = 8

CAN SOMEONE HELP ME ON ALL AND THOSE ANSWERS ARE ANSWERS FOR THESE PROBLEMS PLS HELP ME I WILL GIVE BRAINLIST ):

Answers

1. 30
2. 18
3. 12.56
4. 9.42
5. 8pi
6. 5pi
7. 62.8
8. 7.5
:)

Find the midpoint of the line segment with the given endpoints (-4,4),(-2,2)

Answers

Answer:

(-3,3)

Step-by-step explanation:

use the midpoint formula

which graph represents the solution for the equation 1/6x=-2x+5

Answers

Answer:

Pllsssss Pllsssss Pllsssss

Step-by-step explanation:

Pllsssss Pllsssss Pllsssss

help pleaseee I really need this done​

Answers

Angle 1 is 115 and angle 2 is 65.

what is the ordered pair to y=7x-2

Answers

It would be (0,-2) I believe

Please help with all thank you!!! Brainliest will be given!!

Answers

Answer:

1) Strong correlation

2) no correlation

3a) 2008       3b) 47       3c) The authors are trying to communicate the number of male teachers in different school years

4b) inches of rain (r) = (around) 0.6

Step-by-step explanation:

Xi-ling has a net income that is 5% of her monthly salary of $2,315. Xi-ling would like to keep a net income of $50 and put any additional money towards paying down debt. How much more can Xi-ling put towards paying down debt each month?
a.
$55.75
b.
$65.75
c.
$115.75
d.
$165.75

Answers

Answer:

it going be b 65.75

Step-by-step explanation:

just did test

The total amount of money put down by Xi-ling monthly  is mathematically given as

y=65.75

What is the total amount of money put down by Xi-ling monthly?

Question Parameters:

Xi-ling has a net income that is 5% of her monthly salary of $2,315. Xi-ling would like to keep a net income of $50

Generally,  5% of her monthly salary   is mathematically given as

x=0.05*2315

x=115.75

Therefore, if she has a net income equal to 115.75

y=115.75-50

y=65.75

Xi-ling puts y=65.75 towards paying down debt each month.

For more information on Arithmetic

https://brainly.com/question/22568180

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