1. You are eating on a Tootsie Roll Lollipop that is in the shape of a sphere. It is giving up volume at a steady rate of 0.25 in3 /min. How fast will the radius be decreasing when the Tootsie Roll Pop is .75 inches across?

Answers

Answer 1

Answer:

Step-by-step explanation:

Since the Tootsie Roll lollipop is a sphere

volume of sphere= [tex]\frac{4}{3}piR^3[/tex] = -0.25 [tex]in^3/min[/tex]

the negative sign indicates that the volume is decreasing

upon differentiating

as the diameter given is =0.75 so radius will be = 0.375

[tex]dV/dt = 4piR^2*dR/dt[/tex]

so [tex]dR/dt = 0.25/4*3.14 *(0.375)^2[/tex]

So the radius is decreasing at the rate of dR/dt= 0.142in/min


Related Questions

Plzz Answer this Correctly!!!! It's Easy Points!!!!

The value of the solid's surface area is equal to the value of the solid's volume. Find the value of x.

Answers

dnssnskjsjsjsjajjawiiwiw

The answer is 13.2 or 66/5

Have a nice day! :)

i poopoo myself how to clean

Answers

Answer:

you clean!?

Step-by-step explanation:

I just lick it

Answer:

use toilet paper

Step-by-step explanation:

first you clean yourself then you clean again until very clean lol

what is -1(9)


Ignore theses it said it was too short

Answers

-9, apologies if I got this wrong

please help... i’m stuck on that question.

Answers

Answer:

5 is the answer

Step-by-step explanation:

120/24=5

Answer:

A. 5

Step-by-step explanation:

The angle is 120 degrees because of certain rules which explanations I can't remember off the top of my head. To get 24z to equal 120 you plug in 5.

If lim f(x)=5 g(x)=0 and h(x)=-2 then find (3h/2f+g)(x)

Answers

Answer:

B

Step-by-step explanation:

edg 2021 unit test review

1. Mrs. Wendt called Drano Plumbing Company to fix a leak. Their fee is $35 for the
service call, and $42 per hour.
a) Build a table.
b) Write an equation for the amount she would pay for ‘x’ hours:
_________________________
c) Write and solve an equation to find out how long they worked if her bill was $140.
Equation:_________________________
Solution:_______________

Answers

Answer:

the equation is 140÷42 and the answer is 4

Find the values of x and y.

x=

Answers

x = 40°
y = 6

hope this helps!

1. Describe how to show that triangle PMO = triangle PMN using the SSS Congruence Postulate. Then, without using a protractor, find a way to show that the triangles are congruent using the SAS Congruence Postulate.

Answers

Answer:

ayudenle porfa :)

Step-by-step explanation:

porfa

Coweta Nutrition sells shakes for $3.39 each. They also sell tea for $2.50. If Mrs.
Morgan bought 1 tea and spent $19.45 this week, not including tax, how many
shakes did she buy?*

Answers

Answer:

she bought 5 shakes

Step-by-step explanation:

shakes: $3.39

tea: $2.50

2.50 + 3.39s = 19.45

3.39s = 16.95

s = 16.95 ÷ 3.39

s = 5

Check:

2.50 + 3.39(5) = 19.45

or

2.50 + 3.39 + 3.39 + 3.39 + 3.39 + 3.39 =  19.45

She bought 5 snakes

Jada wants to know how fast the water comes out of her faucet. what information would she need to know to be able to determine that​

Answers

Answer:

Time, and Amount

Step-by-step explanation:

Well she would need to determine a time frame from within the water falling out of the tap, and how much water comes out. then she would need to observe how much water came out in that time frame, and how much time it took.

The information that Jada needs to know how fast the water comes out of her faucet include time and the amount of water.

Since Jada needs to know how fast the water comes out of her faucet include time and the amount of water. For example, let's say the amount of water coming out is 20 liters in 4 hours.

Therefore, this means the amount of water coming out per hour will be:

= 20 liters / 4 hours

= 5 liters per hour.

The main information needed is the time and the amount of water.

Read related link on:

https://brainly.com/question/17908987

If the Plot of Land is an 80 ft by 50 ft rectangle,
what is the area?

Answers

Answer:

4000ft.

Step-by-step explanation:

The formula for area of a rectangle is length times width.

80 x 50 = 4000

That is correct. The area of a rectangle is l*w

g A circle is a special case of an ellipse. Explain how a circle is different from other ellipses.

Answers

Answer:

Main difference between circle & ellipse

Step-by-step explanation:

Circle is a line forming a close loop, all points on the loop line are at equal distance from the centre, that distance is called Radius. Eg : Wheel

Ellipse is also a close loop line, such that distance of locus of all points on the plane to two fixed points (foci) always sum up to same constant. Eg : Orbits of planets

Cricle is the round shape entity in which it contains only radius and double of radius is diameter Thus below explanation is the answer to the Question

Explanation:

Cricle is the most rounded shape. Its different from ellipse because it has the radius, chord  and diameter.cricle can be drawn easily with compass and ellipse is oval shape.cricle contains two types perimeter cricle and normal cricle. Ellipse has also two types partial ellipse and normal ellipse.Cricle does not  have major and minor axis length both are different.

Thus we conclude that cricle is totally different from ellipse

To know more about cricle and ellipse

https://brainly.com/question/9689499

Please answer this correctly without making mistakes

Answers

Answer:

89%

Step-by-step explanation:

There are 100 units within the shape and 89 of them are painted so 89% is orange

Find the product of a^2 (4ab - 6c)

Answers

Answer:

4a^3b − 6a^2c

Step-by-step explanation:

can someone help me i don’t get this at all !!!! (my mouse is covering the letter “L”)

Answers

Answer:  A) 30

===========================================

Work Shown:

SM/MK = RM/ML

33/44 = x/40

3/4 = x/40

3*40 = 4*x ... cross multiply

120 = 4x

4x = 120

x = 120/4

x = 30

RM = 30

How many edges are there on a cylinder?

Answers

Answer:

There are 0 number of edges on a cylinder

If 1 liter = 1.057 quarts, about how many liters are in 1 gallon of milk? Round to the nearest liter.

Answers

Answer:

3.78541 liters (sorry I'm horrible at rounding)

Write 1 fifth (1|5)
as a decimal.

Answers

Answer:

The answer is 0.2

Step-by-step explanation:

=1/5

=1 Divided by 5

=0.2

It’s .2 ! Hope this helped

giving brainliest !!!!!!

Answers

Answer:

[tex]m\angle{QPR}}=40[/tex]

Step-by-step explanation:

We are given that lines [tex]PQ[/tex] and [tex]PS[/tex] are perpendicular lines, meaning they intersect and each other, and as a result, create a right angle ([tex]90[/tex]).

With that being said, let's add the expressions representative of the two angles and set them equal to [tex]90[/tex] degrees:

[tex]7x-9+4x+22=90[/tex]

Combine like terms:

[tex]11x+13=90[/tex]

Subtract 13 from both sides of the equation:

[tex]11x=77[/tex]

Divide both sides of the equation by the coefficient of [tex]x[/tex], which is [tex]11[/tex]:

[tex]x=7[/tex]

Now, let's substitute this into the expression of angle [tex]QPR[/tex]:

[tex]7(7)-9[/tex]

[tex]=40[/tex]

_

You can check your work by substituting the value of [tex]x[/tex] into the other expression, and then adding that answer with our initial answer to make sure it equals [tex]90[/tex] degrees:

[tex]4(7)+22[/tex]

[tex]28+22=50[/tex]

[tex]40+50=90[/tex]

Since the two angles add up to 90, our answer is correct!

please help
Select the correct answer.
In 14 days, the daily high temperature in Cedar Hills dropped by 16.8 degrees Fahrenheit. What is the average daily rate of change in the high temperature in degrees Fahrenheit?
A.
+2.2
B.
+1.2
C.
+1.1
D.
-1.2
E.
-2.2

Answers

Answer:-1.2 Degree Fahrenheit.

Step-by-step explanation:

Since,

The average daily changes,   total changes/number of days

Here,

The total changes = - 16.8° F ( - sign shows the decreasing )

And, the number of days = 14

Hence,

⇒ The average daily rate of change in the high temperature in degrees Fahrenheit is -1.2° F.

-16.8 / 14 = - 1.2 per day

Bender Electronics buys keyboards for its computers from another company. The keyboards are received in shipments of 100 boxes, each box containing 20 keyboards. The quality control department at Bender Electronics first randomly selects one box from each shipment and then randomly selects 5 key boards from that box. The shipment is accepted if not more than 1 of the 5 keyboards is defective. The quality control inspector at Bender Electronics selected a box from a recently received shipment of keyboards. Unknown to the inspector, this box contains 6 defective keyboards.
Round your answers to four decimal places.
a. What is the probability that this shipment will be accepted?
P(shipment accepted)=
b. What is the probability that this shipment will not be accepted?
P(shipment not accepted)=

Answers

Answer:

a

  [tex]P(shipment\ accepted) =0.6337 [/tex]\

b

   [tex]P(shipment\ not\ accepted)= 0.3663 [/tex]  

Step-by-step explanation:

from the question we are told that

   The number of boxes N  =  100

     The  number of keyboard in each box is  k =  20  

     The sample size is  n =  5

Generally the number of ways of selecting 1 keyboard from the 5 selected keyboard is mathematically represented as

     [tex]G  =  \ ^{5}C_1[/tex]

Here  C stands for  combination (Hence in the question we will be making use of the combination functionality in our calculator )

Generally the number of ways of selecting 0 keyboard from the 5 selected keyboard is mathematically represented as

       [tex]H  =  \ ^{5}C_0[/tex]

Generally the number of ways of selecting 5 keyboard from the 20 keyboards is mathematically represented as

          [tex]F  =  \ ^{20}C_5[/tex]

Generally the number of ways of selecting 5 keyboard from the  15 keyboards is mathematically represented as

        [tex]W  =  \ ^{15}C_5[/tex]

Generally the number of ways of selecting 5 keyboard from the  15 keyboards is mathematically represented as

        [tex]V  =  \ ^{15}C_4 [/tex]

Generally the probability that a shipment will be accepted is mathematically represented as

 Probability of  0 defect out of  5 + Probability of  1 defect out of 5

Now  

  Probability of  0 defect out of  5 is mathematically represented  as

        [tex]P(A_1) =  \frac{H*W }{ F}[/tex]

=>      [tex]P(A_1) =  \frac{1 *3003 }{ 15504}[/tex]

=>      [tex]P(A_1) =  0.1937[/tex]

And  Probability of  1 defect out of 5 is mathematically represented as

     [tex]P(A_2) =  \frac{ G * V}{ F}[/tex]

 => [tex]P(A_2) =  \frac{ 5 * 1365}{15504}[/tex]  

 =>   [tex]P(A_2) =  0.440[/tex]  

Generally the probability that a shipment will be accepted is mathematically represented as

     [tex]P(shipment\ accepted) =0.1937 +  0.440[/tex]

=>    [tex]P(shipment\ accepted) =0.6337 [/tex]

Generally the probability that this shipment will not be accepted is mathematically represented as

    [tex]P(shipment\ not\ accepted)= 1 -P(shipment \ accepted)[/tex]

     [tex]P(shipment\ not\ accepted)= 1 - 0.6337 [/tex]  

     [tex]P(shipment\ not\ accepted)= 0.3663 [/tex]  

The equation of a lone is 3/5x + 1/3y = 1/15

Answers

Answer:

Step-by-step explanation:

x intercept is where the line is crossing the x axis or where y=0

y intercept is where the line crosses the y axis or where x=0

to find them, set other ting to zero

3/5x+1/3y=1/15

xintercept, set y=0

3/5x+1/3(0)=1/15

3/5x+0=1/15

3/5x=1/15

times 5/3 both sides

x=1/9

xintercept is x=1/9

yintercet

set x=0

3/5(0)+1/3y=1/15

0+1/3y=1/15

1/3y=1/15

times 3/1 both sides

y=1/5

yintercept is y=1/5

xint is x=1/9

yint is y=1/5

3. Use the equation y = 3.2x + 5
to complete in the table.
Type the answers in the boxes below.
1
2
4
3. Is y proportional to x and y?
Select the correct choice from the drop down.
Explain why or why not.
Type your response in the space below.

Answers

Answer/Step-by-step explanation:

Plug in the value of x in each row into the equation, y = 3.2x + 5, to find their corresponding y values respectively.

When x = 1:

y = 3.2(1) + 5

y = 3.2 + 5

y = 8.2

When x = 2:

y = 3.2(2) + 5

y = 6.4 + 5

y = 11.4

When x = 4:

y = 3.2(4) + 5

y = 12.8 + 5

y = 17.5

You have the following table:

x | y

1 | 8.2

2 | 11.4

4 | 17.5

To find out if y is proportional to x, find the ratio of y to x of each pair in the table.

x | y | ratio of y to x (y/x)

1 | 8.2 | 8.2/1 = 8.2

2 | 11.4 | 11.4/2 = 5.7

4 | 17.5 | 17.5/4 = 4.375

As you can see, here is no equal ratio. Each pair has a different ratio. Therefore, the a proportional relationship does not exist between x and y.

I need to find the missing angle of this triangle or whatever it is

Answers

Answer:

×=126+28

=154 degrees

People living in a society where one person rules by force have which type of government?

Answers

Answer:

An autocracy is a government structure in which the ultimate political authority is concentrated in one person's hands.

Hope this helps please give me brainliest!

God bless!

An autocracy.

An autocracy is a system of government in which a supreme political power is concentrated in the hands of one person.

if there are 5 fish and 1 of the dies how many are left ​

Answers

There are 4 living fish, but unless the dead one was taken from the tank, there are still 5 fish in the tank.

I need help. Is this right????

Answers

Answer: (I can only see stage 1 and 2 fully) Stage 1: 2 Stage 2: 4

Step-by-step explanation:

Answer:

Step-by-step explanation:

0 = 0

1 = 2

2 = 4

3 = 6

20 = 40

Properties of the normal distribution include?

Answers

Answer:

Properties of a normal distribution

The mean, mode and median are all equal.

The curve is symmetric at the center (i.e. around the mean, μ).

Exactly half of the values are to the left of center and exactly half the values are to the right.

The total area under the curve is 1.

Step-by-step explanation:

The solution is , given below.

What is normal distribution?

A normal distribution is a type of continuous probability distribution in which most data points cluster toward the middle of the range, while the rest taper off symmetrically toward either extreme. The middle of the range is also known as the mean of the distribution.

here, we have,

Properties of a normal distributionThe mean, mode and median are all equal.The curve is symmetric at the center (i.e. around the mean, μ).Exactly half of the values are to the left of center and exactly half the values are to the right.The total area under the curve is 1.

To learn more on normal distribution click:

https://brainly.com/question/14651443

#SPJ6

Find the value of
5x^2 if x = -3.

Answers

Step-by-step explanation:

5x²

If x = 3

Then,

5(3)²

= 5×9

= 45

Which quadratic equation gives the area A of the rectangle in square feet given its width in w feet

Given: (10,900) (20,1600)

Answers

Answer: 2nd choice on Ed

Step-by-step explanation:

Answer:

B

2400ft

Step-by-step explanation:

Other Questions
The perimeter of a rectangular field is 358 m.If the width of the field is 84 m, what is its length? is there a need for you to know the guidelines in choosing products? Why? Buffer stock is the level of stock Indicate which of the following transactions will be included in (that is, directly increase) the GDP of the United States in 2017. a. Athleticus, a U.S. shoe company, produces a pair of sneakers at a plant in Vietnam on March 10, 2017. Athleticus imports the pair of sneakers into the United States on May 20, 2017. b. An accountant starts a client's 2017 tax return on April 14, 2018, finishing it just before midnight on April 15, 2018. c. Graincorp, a U.S. agricultural company, produces corn syrup at a plant in Iowa on September 13, 2017. It sells the corn syrup to Crunchy's for use in the production of cereal that will be made in the United States in 2017. (Note: Focus exclusively on whether production of the corn syrup increases GDP directly, and ignore the effect of production of the cereal on GDP.) d. Tasty's, a U.S. fast-food company, produces a hamburger at one of its many St. Louis locations on January 21, 2017. It sells the hamburger to a customer that same day. e. Chocolate Express, a Swiss chocolate company, produces a chocolate bar at a plant in Illinois on December 5, 2017. An elementary school student buys the chocolate bar on December 24. how do I get the equation ? If a system of linear equations has the unique solution (2, -3), then its graph consists of what?parallel lineslines that intersect at a single pointidentical linesa y-intercept at -3 . A nail is hammered into a piece of wood. * Which of the following is not a long-term health effect of the atomic bombings on Japan? Explain the meaning. A scale on a map is 1mm:20 miles In pigeons, the allele B produces blue feathers. The allele W produces white feathers. The B and W alleles are codominant. A blue and white pigeon BW is crossed with a solid white pigeon WW. What percent of the offspring are expected to be blue and white? What was the code of hammurabi? 3/4 + 1/6z = 35/4 solve Helppp please i got hella hw!!!! At least 5 sentencesPROMPT: What is the overall message of Mad Woman by Taylor Swift?Answer using the response paragraph format:TWO QUOTES-one from each piece. Be sure they are embedded & cited)-highlight quotes any color, highlight the citation a different color. Example of embedded quote with citation: In the song Mad Woman, Taylor Swift compares herself to a scorpion by saying they strike to kill, suggesting that when she gets provoked, she will fight back (Swift). Commentary (your thoughts/opinions)-[place brackets around commentary] How is the voltage V across the resistor related to the current I and the resistance R of the resistor? (Use I for current and R for resistance.) Seth wants to build a wall of bricks. Which equipment will help him in the process?OA masonry pumpOB. hacksawOC. mortar mixerOD. pressurized cleaning equipment What are some reasons students go into college with limited knowledge about sex? (PLEASE HELP!) The probability of drawing a pink marble from a bag containing these marbles is 3/10.If you replace the marble each time, predict how many times a pink marble will be chosen out of 100 draws. Healthcare is considered a(n) ___career field What events caused the decline of the Abbasid dynasty?A. The Abbasids willingly gave up their lands to the Seljuk Turks and the Mongols.B. The Abbasid empire fragmented, and other peoples gained control.The invaders from Spain created small kingdoms throughout the former empire.D. The Umayyads and the Abbasids waged a civil war that destroyed the empire. If a polynomial function f(x) has roots 4 - 13i and 5, what must be a factor of f(x)?(x + (13- 41)(x - (13 + 41))(x + (4 + 131)O (x -(4+131)