Mathematics High School

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

what are the next 3 terms of the sequence-3, -7, -11, -15?​

Answers

Answer:

-19,-23,-27

Step-by-step explanation:

When looking at the original sequence you can see that it decreases by 4 every number, so just keep subtracting 4 to get the next numbers.

Answer: -19, -23, -27

Step-by-step explanation:

<33

: How many 3/2's are in 5? ​

Answers

Answer:

3 1/3

Step-by-step explanation:

5/3/2 = 10/3 = 3 1/3

An architect draws a plan for a wheelchair ramp on the plan, the ramp is 2cm high and 24cm long what might the dimensions of the actual ramp be (use equivalent ratios)

Answers

Answer:

[tex]Height = 30cm[/tex]

[tex]Length = 360cm[/tex]

Step-by-step explanation:

Given

Scale Measurement

[tex]Height = 2cm[/tex]

[tex]Length = 24cm[/tex]

Required

Determine the possible actual measurement

First, calculate the equivalent ratio.

[tex]Ratio = \frac{Length}{Height}[/tex]

[tex]Ratio = \frac{24cm}{2cm}[/tex]

[tex]Ratio = 12[/tex]

To do this, we pick a scale factor.

Assume the scale factor is 15.

The actual measurement will be:

[tex]Height = 2cm * 15[/tex]

[tex]Height = 30cm[/tex]

[tex]Length = 24cm * 15[/tex]

[tex]Length = 360cm[/tex]

When the scale ratio is calculated, we have:

[tex]Ratio = \frac{Length}{Height}[/tex]

[tex]Ratio = \frac{360cm}{30cm}[/tex]

[tex]Ratio = 12[/tex]

Note that both have the same equivalent ratios of 12.

So, whatever the scale ratio you use, the equivalent ratio will be the same

Please help I’ll give brainiest! Fill in the missing exponent !

Answers

Answer:

Answer is .............3.

Answer:

It's 3

So whenever u see a power outside the bracket u times it with the inner brackets

In the final answer a is with the power of 8 because 2 times 4 is 8

U do the opposite to find the power of b u divide 12 with 4 which will be 3 ☺️

ASAP!! plzz help! thanks​

Answers

i believe the answer is C. natural numbers are positive while numbers

A book costs $ 25.00. You have a coupon for 30 % off. Calculate the final price of the book with a 5% GST. (Begin by finding the discount price and then adding the GST)

Answers

Answer:

$18.375 or rounded = $18.38  (brainliest if correct)

Step-by-step explanation:

25.00- 7.5 = $17.5

5% of 17.5 = 0.875

17.5 +0.875 = 18.375

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

Answers

Answer:

70 i am 100 percent sure

Step-by-step explanation:

1:10

7     70

Mark tried to pour 36 ounces of tea into 3 cups. after filling the cup to the top, there were still 13.5 ounces left in his tea pot. if each cup is the same size how much is in the tea cup? HELP PLEASE!

Answers

Answer:

its 12

Step-by-step explanation:

12 oz

Answer:

22.5/3

Step-by-step explanation:

Hey, the idea is to set up an equation that you can solve

36 ounces of tea = 3 cups(some ounces of tea) + 13.5 ounces left

Now just solve for how much tea is in each cup.

36-13.5 = 3(X)

3X = 22.5

x = 22.5/3

what is h ( t ) = − t ( 16 t + 7 ) in standard form

PLEASE HELP !!!!

Answers

y = 2x - 4

y = 4x - 6

y = 3x - 4

that's what i got

-2.4x+3.8x-x please helpppp

Answers

Answer:

0.4x

General Formulas and Concepts:

Algebra I

Terms/Coefficients/Degrees

Step-by-step explanation:

Step 1: Define

-2.4x + 3.8x - x

Step 2: Simplify

Combine like terms:                       1.4x - xCombine like terms:                       0.4x

Find The Quotient of 5/6÷ (-13/7)
5/6÷(-13/7)=5/6. ​

Answers

Answer:

- 35/78

Step-by-step explanation:

The quotient of

5/6÷ (-13/7) =5/6×(-7/13) =- 35/78

Find the length of side a.
A. 2
B. 3
C. 34
D. 9​

Answers

It’s B


You need to use the Pythagorean theorem which is a squared + b squared = c squared

So a^2+4^2=5^2
Simplified that would be a^2 + 16 = 25

Subtract 16 from both sides
A^2=9

And the square root of nine is 3

What is the measure of

Answers

Answer:

The measure of ∠G is 59°

Step-by-step explanation:

When two secants, intersect at a point outside a circle then the measure of the angle formed between them is one-half the positive difference of the measures of the intercepted arcs.

In the given figure

∵ GT is a secant that intersects the circle at points H and T

∵ GE is a secant that intersects the circle at points F and E

∴ The intercepted arcs are HF and TE

∵ GT ∩ GE at G

∵ Point G is outside the circle

→ By using the rule above

∴ m∠G = [tex]\frac{1}{2}[/tex] (m arc TE - m arc HF)

∵ m arc TE = 175°

∵ m arc HF = 57°

→ Substitute them in the rule above

∵ m∠G = [tex]\frac{1}{2}[/tex] (175 - 57) = [tex]\frac{1}{2}[/tex] (118)

∴ m∠G = 59

∴ The measure of ∠G is 59°

What is the radius of the circle?

Answers

Answer: The circumference of a circle is equal to Pi π times the diameter d . Since the diameter d is equal to 2 times the radius r , the formula for circumference using radius is 2πr 2 π r .

Step-by-step explanation:

Answer:

radius=area÷2

radius=9÷2

radius=4.5

what is the the constant of proportionality
X: 0 2 4 6
Y: 0 3 6 9

Answers

X: 2
Y: 3

Why:
2x3=9
3x3=9
So the constant of proportionality it’s 2 and 3

Is this correct?
:'(

Answers

Answer:

I think that's right cus I did this test

Solve for the variableeeeee plzzz

Answers

Answer: x= -7

Explanation for answer:

Answer:

x = -7

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other.

First, add 2x and subtract 18 from both sides:

5x - x + 18 (-18) (+2x) = 6 - 2x (+2x) - 30 (-18)

5x - x + 2x = 6 - 30 - 18

Next, simplify. Combine like terms:

(5x - x) + 2x = 6 + (-30 - 18)

(4x) + 2x = 6 + (-48)

6x = -42

Next, fully isolate the variable, x, by dividing 6 from both sides:

(6x)/6 = (-42)/6

x = -42/6 = -7

x = -7 is your answer.

~

In which diagram are angles 1 and 2 vertical angles?

Answers

The first diagram since the two angles are opposite of each other

Help ASAP please help

Answers

Answer:

Step-by-step explanation:

another isosceles triangle

SOH CAH TOA

Cos(x)=Adj/ Hyp

Hyp*Cos(45) = Adj

26 * [tex]\sqrt{2}/2\\[/tex] = Adj

13[tex]\sqrt{2}[/tex]  both legs

Pls help quickly!!!!!!!!!!!!!!!

Answers

Acute triangle because it has three acute angles. An acute-angled triangle is a type of triangle in which all the three internal angles of the triangle are acute, that is, they measure less than 90°.

Answer:

hmm. I would say right.

Step-by-step explanation:

The angle when you flip your triangle is 90 degrees.

the table shows the number of gold metals won by united states athletes during the summer olympics

Answers

Answer:

A

Step-by-step explanation:

help PLEASE!!!?!!!!!!

Answers

Answer:

yes

Step-by-step explanation:

Answer:

the answer is b

Step-by-step explanation:

How are fractals developed

Answers

Answer:

Fractals are infinitely complex patterns that are self-similar across different scales. They are created by repeating a simple process over and over in an ongoing feedback loop. ... Abstract fractals – such as the Mandelbrot Set – can be generated by a computer calculating a simple equation over and over.

Step-by-step explanation:

help please this is due in a few minutes!!​

Answers

Put the whole number over 1,
2 x 3/4
2/1 x 3/4
Now you would multiply across
6/4

Describe the relationship between the two quantities. WILL GIVE BRAINLIEST NO JOKE ANSWERS PLEASE..

Answers

Answer:

Between the two quantities, the sales have a longer increase rate for dollars than the bicycle has for speed, and the bicycle travel had a good speed rate, but slowed down the increased again.

Step-by-step explanation:

Question is on the photo pls help

Answers

Answer:

d)-8

Step-by-step explanation:

-6s-¹t²-6(3)-¹(-2)²-6(⅓)(4)-8

2x+3y=12 Complete the missing value in the solution to the equation. (_,8) I NEED HELP QUICK

Answers

Answer:

-6 is the missing value.....

Answer:

(-6, 8); the missing value is -6

Step-by-step explanation:

First, you need to solve the given equation for x

1: 2x + 3y = 12 (Given)

2: 2x = -3y + 12 (Subtract 3y from both sides to isolate x)

3: x = -1.5y + 6 (Divide both sides by 2)

Now, you can solve for the missing x in the solution set (x, 8):

where x = -1.5y + 6 and y = 8,

x = -1.5(8) + 6

x = -12 + 6

x = -6

So, the missing value is -6

An item is regularly priced at $43. Charmaine bought it at a discount of 95% off the regular price. How much did Charmaine pay?​

Answers

Answer:

Charmaine paid $2.15

Step-by-step explanation:

So Charmaine only paid for 5% of the regular price

5/100×$43=5×$0.43

=$2.15

Answer:

2.15$

Step-by-step explanation:

95% of 43 is 40.85

43 - 40.85 = 2.15

Which expressions have a value of 49 when w = 4? Choose the correct answers and show your work.

A) 3w2+ 25

B) 7(w2- 9)

C) w3/8+ 41

Answers

Answer:

Step-by-step explanation:

Please help me out! ​

Answers

1. there are two methods to solve this system

I.substition

from the first relation we can deduct

2a-b=4

2a=4+b

a=(4+b)/2

now we substitute a in the second relation

(4+b)/2+b=5

we multiply by 2

4+b+2b=10

3b=6

b=6/3=2

a+2=5

a=3

II.reduction

2a-b=4

a+b=5

we can add the two relations together

2a+a-b+b=4+5

3a=9

a=3

3+b=5

b=2

Other Questions
Translate the word phrase into a math expression.11 fewer than the quotient of 2 and a number11(n2)11n211(2n)2n11 At Cindy's birthday each guest will get one-third of a medium sized pizza. Therewill be 12 people at the party, including Cindy. How many pizza's does her momneed? What does the word "incident" mean and why do you think Cullen uses thisword to describe the event in this poem? Which scenario could be represented by this graph?O A Mark leaves home and walks to a friend's house. He picks up hisfriend and they return to Mark's house, where they stay for theevening. The x-axis represents time; the yaxis represents thedistance from Mark's houseO B. Mark leaves home and starts walking to a friend's house, but hehas to return home when he realizes he has forgotten somethingAfter returning home, he heads back out to his friend's house. Thex-axis represents time; the y-axis represents the distance fromMark's houseOC. Mark leaves home and walks to a friend's house. They stay therefor an hour before returning to Mark's house. The x-axis representstime; the y-axis represents the distance from Mark's house,OD Mark leaves home and walks to a friend's house, but he gets lostand goes too far. He then retraces his steps and arrives at hisfriend's house, where he stays for the evening. The axisrepresents time the y-axis represents the distance from Mark'shouse PLEASE HELP! WILL GIVE BRAINLIEST! Write a method that takes a RegularPolygon as a parameter, sets its number of sides to a random integer between 10 and 20 inclusive, and sets its side length to a random decimal number greater than or equal to 5 and less than 12. Use Math.random() to generate random numbers.This method must be called randomize() and it must take an RegularPolygon parameter. Could someone help me out here thanks! C: .. Identify how many atoms of each element are in the molecule: H2O2 True or False: A cheetah, that has a mass of 40 kg, must exert a bigger force to change directions than a 15 kg gazelle because the cheetah has a greater mass Please select the word from the list that best fits the definition.Science lab, bring water and sodiuma) term calendar b) weekly schedule c) daily organizer what medical uses does radiation have? A pair of linear equations is shown below: y = 3x + 5 y = x + 2 Which of the following statements best explains the steps to solve the pair of equations graphically? (4 points) On a graph, find the point of intersection of two lines, the first line has y-intercept = 5 and slope = 3, and the second line has y-intercept = 2 and slope = 1. On a graph, find the point of intersection of two lines, the first line has y-intercept = 3 and slope = 5, and the second line has y-intercept = 1 and slope = 2. On a graph, find the point of intersection of two lines, the first line has y-intercept = 5 and slope = 3, and the second line has y-intercept = 2 and slope = 1. On a graph, find the point of intersection of two lines, the first line has y-intercept = 3 and slope = 5, and the second line has y-intercept = 1 and slope = 2. Will mark brainliest, if correct! A boy throws a ball into the air. The equation h=16t^2+23t+4 models the path of the ball, where h is the height (in feet) of the ball t seconds after it is thrown. How long is the ball in the air? Where can you locate the Function Library group?View tab of the ribbonFormulas tab of the ribbonFile tab of the ribbonInsert tab of the ribbon PLEASE HELP Question 1 (4 points)What is capitalism? (4 points) aA free market system in which people go into business to make a profit bA free market system in which government sets prices and earns profit cA system in which businesses are owned in common or by the government dA system in which businesses and all property are owned by the governmentQuestion 2 (4 points)Who owns the resources in socialism? (4 points) aIndividuals bMilitary leaders cThe common people dThe governmentQuestion 3 (4 points)Who owns the resources in communism? (4 points) aIndividuals bMilitary leaders cThe common people dThe governmentQuestion 4 (4 points)What role does the government take in communism? (4 points) aIt does not interfere with business or trade. bIt limits rules on trade with other nations. cIt decides how to spread resources to people. dIt lets people own private property and resources.Question 5 (4 points)What role does the government take in capitalism? (4 points) aIt takes a limited or no role in business or trade. bIt makes rules to prevent trade with other nations. cIt has people vote on how to share resources. dIt assigns businesses to certain people to run.Question 6 (4 points)How is capitalism different than socialism? (4 points) aSocialism depends on the forces of supply and demand. bCapitalism gets rid of the divisions between social classes. cSocialism most values the choices made by individuals. dCapitalism relies on a market economy to regulate itself. Structural formula of 2 ethyl, 4 methyl-Heptane Need this very badly A 40-foot flagpole casts a 25-footshadow. How long is the shadowcast by a nearby building that is200 feet tall? 2. What does ST TU mean? Why isthis true? Use watercolors or water-based gels for this activity. First, take the three primary colors and mix them to make the secondary colors. Then, mix the primary and the secondary colors to get the tertiary colors. Remember that the proportion in which you mix these colors determines the color you get. From among the primary, secondary, and tertiary colors, list four warm colors and four cool colors. Apply a few strokes of the mixed colors on paper and scan the paper for submission.