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

Find the unit rate for each of the following tables

Answers

Answer:

First table's unit rate is -1.6

Second table's unit rate is  3.5

Step-by-step explanation:

First table:

[tex]\Delta y/\Delta x =(-16--8)/(10-5)= -8/5[/tex]

and this is constant for any pair of (x, y) values of the table.

So the unit rate is: -8/5 = -1.6

Second table:

[tex]\Delta y/\Delta x =(21-7)/(6-2)=14/4=7/2[/tex]

and the rate is constant for any pair of (x, y) values of the table.

So the unit rate is: 7/2 = 3.5

Jessica and Monte sell bananas at a produce stand. Jessica earns $4 for each crate of bananas she sells. At the end of the week, Monte has earned $15 less than Jessica. The following expression shows Monte's earnings:

4y − 15

In the expression, what does the first term represent?

Jessica's earnings at the end of the week
The number of crates of bananas Jessica sold
Monte's earnings at the end of the week
The number of crates of bananas Monte sold

Answers

Answer:

Jessica's Earning's at the end of the week

Step-by-step explanation:

If Jessica earns $4 for every crate she sells that means the first term would be what Jessica earned at the end of the week minus $15 because Monte made $15 dollars less then Jessica.

In the expression the first term represents "The number of crates of bananas Monte sold". So option D is correct.

What are expressions?

An expression is a sentence with at least two numbers or variables having mathematical operation. Maths operations can be subtraction, multiplication, addition,  division.

For example, 2x+3

The expression given for Monte's earnings is 4y - 15.

In this expression, the first term is 4y.

This term represents the amount of money Monte earns per crate of bananas he sells.

Therefore, the first term represents the rate of pay for Monte's earnings, which is $4 per crate.

So, the answer is: The first term represents the amount of money Monte earns per crate of bananas he sells.

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Jenna must run a total of 12 miles on Monday.
Jenna ran 3 5/6 miles in morning and 4 1/12 miles in the afternoon.
How many miles does Jenna still need to run before the end of the day?
•1 9/12
•4 1/12
•7 11/12
•5 5/12

Answers

Jenna would need to fun 4 1/12 miles before the end of the day.
12-3 5/6= 8 1/6
8 1/6-4 1/12= 4 1/12

hope that helps!

Morgan reads 45 pages in 60 minutes how much can she read in 1 minute

Answers

Answer:

Morgan can read [tex]\frac{3}{4}[/tex] of a page in 1 minute.

Step-by-step explanation:

If you divide 45 ÷ 60 you get 0.75 which is equal to [tex]\frac{3}{4}[/tex].

Morgan can read 0.75 pages in 1 minute.

What is division?

Math operations include division as one of its types. This technique involves splitting the phrases or numbers into the same amount of components.

To find out how many pages Morgan can read in 1 minute, we divide the total number of pages she read by the time it took her to read them. This gives us the average number of pages she read per minute.

In this case, Morgan read 45 pages in 60 minutes. So, we divide 45 pages by 60 minutes:

45 pages ÷ 60 minutes = 0.75 pages per minute

This means that on average, Morgan can read 0.75 pages in 1 minute.

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What is x = to? If you know it would be really helpful thanks

Answers

Answer:

x is 131°.

Step-by-step explanation:

Don't really know how to explain it. but I know that is what the measurement is.

g 3. Suppose X and Y are independent, Binomial random variables, respectively, with parameters (n1, p) and (n2, p). Calculate the frequency function of X Y .

Answers

Answer and Explanation:

Solution:

Let x and y are independent, ariables.

The parameters of x and y are (n1, p) and (n2, p), respectively.

It means the sum of the independent binomial variable is itself a binomial random variable.

Consider probability of the event [ x = n1],

Denoted by: p(x=n1)

The function:

                   P(n1) = p(x = n1)

Over the possible value of x say, n1, n2, n3, …, is called frequency function.

The frequency function must satisfy.

∑I p (ni) = 1,

Where the sum is possible values of x.

Similarly,

Consider probability of the event [ y = n2],

Denoted by: p(y=n2)

The function:

P (n2) = p(y = n2)

Over the possible value of y say, n1, n2, n3, …, is called frequency function.

The frequency function completely describes the probabilistic nature of the random variable.

please help .. i have toxic parents and they yell at me ... and i already have like 6 missing assignemnts soo can someone please answer these questions .

In one full day, a kudzu vine can grow 15 inches in length. How many inches per hour is this?

2. Allison threw a baseball that traveled 145 feet in 2 ½ seconds. What was the average speed of the ball in feet per second?

3. Erica runs 4 ½ meters per second. At this speed, how many meters can she run in 45 seconds?

4. Roland’s remote control boat has a max speed of 25 miles per hour. How many miles can Roland’s boat travel in 1/3 of an hour?

5. Anna can walk 10 miles in 4 hours. At this rate, how many minutes does it take her to walk one mile

Answers

Answer:

1. 0.625 inch

2. 58 feet per second

3. 202.5 meters

4. 8.333 miles

5. 0.4 hour or 24 minutes

Step-by-step explanation:

^^^

Answer:

In one full day, a kudzu vine can grow 15 inches in length. How many inches per hour is this? (.625 inches)

2. Allison threw a baseball that traveled 145 feet in 2 ½ seconds. What was the average speed of the ball in feet per second?   (58 feet)

3. Erica runs 4 ½ meters per second. At this speed, how many meters can she run in 45 seconds?  (202.5 meters)

4. Roland’s remote control boat has a max speed of 25 miles per hour. How many miles can Roland’s boat travel in 1/3 of an hour? (8.3 miles)

5. Anna can walk 10 miles in 4 hours. At this rate, how many minutes does it take her to walk one mile? (.0416)

Step-by-step explanation:

For #1.) 15 divided by 24 which equals 0.625

For #2.) divide 145 by 2.5

For #3.) time 4.5 by 45

For #4.) divide 25 by 3

For #5.) divide 10 by 4 then 2.5 by 60 to get .0416

I need help with this and can you explain how to do this?
3(2y + 3) + y

Answers

Answer: 7y + 9

Step-by-step explanation: First you will distribute 3(2y + 3). This means we will multiply 3 to the numbers in the parenthesis. 3 x 2y = 6y and 3 x 3 = 9. This is 6y + 9.

Now we have the y left over so combine like terms 6y + y and that is 7y.

Answer:

7y + 9.

Step-by-step explanation:

1. Expand by distributing terms.

3(2y + 3) + y

2. Collect like terms.

(6y + y) + 9.

3. Simplify.

7y + 9.

Hope this helps.

Have a good night ma´am/sir.

Be safe!

Determine whether each equation is true or false.
-5/-1 = 5
(0/-4) = 0
-3/1 = -3
- 8/0 = 0

Answers

Step-by-step explanation:

1.False

2.True

3.True

4.False

A baseball organization has 209 players. It wants to buy sweatshirts or jackets for players’ warmups.

Warm-up Type Price
Sweatshirt $38
Jacket $50

What is the difference in the total price of the sweatshirts and the jackets for all 209 players?
Enter your answer in the box.

Answers

Answer:

The answer is 2508

Step-by-step explanation:

I'm confused on how to find x​

Answers

Answer:

x = 2

Step-by-step explanation:

Since this is a 45-45-90 triangle, the 2 legs will be the same, meaning that y will also be [tex]\sqrt2[/tex].

We can then solve for x using the Pythagorean theorem:

[tex]\sqrt2^2+\sqrt2^2=x^2\\2+2=x^2\\4=x^2\\x=2[/tex]

Or, we could use a quicker approach: if the triangle is a 45-45-90 triangle, the hypotenuse will be [tex]\sqrt2[/tex] times the length of 1 leg. It essentially does the same thing; it's just faster so you could save time on tests.

Solve the following equation algebraically. Show your work.

6=x+23

Answers

Answer: 23+x=6

-23 -23

1x/1 -17/1

x=-17

Step-by-step explanation:

Answer:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

 -6*x-(23)=0  

Step by step explanation :

Pulling out like terms

Pull out like factors :

-6x - 23  =   -1 • (6x + 23)  

Solving a Single Variable Equation:

2.1      Solve  :    -6x-23 = 0  

Add  23  to both sides of the equation :  

                     -6x = 23

Multiply both sides of the equation by (-1) :  6x = -23

Divide both sides of the equation by 6:

                    x = -23/6 = -3.833

Therfor the answer is : x = -23/6 = -3.833

Quadrilateral ABCD is transformed according to the rule (x, y) → (y, –x). Which is another way to state the transformation?
R0, 90°
R0, 180°
R0, 270°
R0, 360°

Answers

Answer:

C. R0, 270°

Step-by-step explanation:

R0, 270°:(x, y) → (y, –x)

Answer:

Step-by-step explanation:

the answer is c

Factorise fully
48 + 6x

please do quick it's due In 2 min ​

Answers

Answer:

6(8+x)

Step-by-step explanation:

Notice that the constant and the coefficient have a greatest common factor of 6. Therefore, we can just factor the 6 out to get 6(8+x).

Answer:

6(x+8)

Step-by-step explanation:

[tex]48 + 6x\\\\\mathrm{Rewrite\:}48\mathrm{\:as\:}6\times\:8\\\\=6x+6\times\:8\\\\\mathrm{Factor\:out\:common\:term\:}6\\\\=6\left(x+8\right)[/tex]

y+7=y–3 how many solutions does this equation have?

Answers

Answer:

No value

Step-by-step explanation:

Y has zero solutions

Victor runs 3 laps around the track every 5 minutes. How long would it take to run 6 laps?

Answers

I believe 10 Bc it says 3 laps every 5 min

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 24 divided by 4 is 6 what is the remainder?

Answers

there are no remainders left it’s 0

The remainder from the given division is 0.

Given that, 24 divided by 4 is 6.

The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.

Here,

4|24|6

  24

______

    0

So, the remainder is 0.

Therefore, the remainder from the given division is 0.

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Match the functions f(x, y, z) with the description of their gradients. No reasons needed.
(a) x2 + y2 + z2
a. points radially outward from the z-axis
b. points radially inward toward the z-axis
c. points radially outward from the origin
d. points radially inward toward the origin
(b) x2 + y2
a. points radially outward from the z-axis
b. points radially inward toward the z-axis
c. points radially outward from the origin
d. points radially inward toward the origin
(c) 1/x2 + y2 + z2
a. points radially outward from the z-axis
b. points radially inward toward the z-axis
c. points radially outward from the origin
d. points radially inward toward the origin
(d) 1/x2 + y2
a. points radially outward from the z-axis
b. points radially inward toward the z-axis
c. points radially outward from the origin
d. points radially inward toward the origin

Answers

Answer:

1. C points radially outward from origin

2. A. Points radially outward from z origin

3. D. Radially inwards toward origin

4. B. Inwards towards the z axis

Step-by-step explanation:

1.

X²+y²+z² = f(x,y,z)

Vector P<x,y,z>

2<x,y,z> = 2p

The answer is c points radially outward from origin

2.

X²+y² = f(x,y)

<2x,2y,0>

Points radially outward from z axis

3.

D. Points radially inwards toward origin

4.

B. Points radially inwards toward the z axis.

Please check attachment for solutions to answers 3 and 4

Jennifer bought an umbrella on a business trip. The umbrella is 29 inches long.
The length of the sides of the box is 18 Inches.
The length of the top and bottom of the box is 24 Inches.
Jennifer thinks she can bring the umbrella home in her suitcase.

Is she correct?

Explain using your understanding of the Pythagorean Theorem to answer.

Use the dimensions provided in your explanation.

Answers

Answer:

Answer 30^{2}

Step-by-step explanation:

24^{2} + 18^ {2} = c^{2}

576 + 324 = c^{2}

\sqrt{900}  c^{2} = 30

hope this helps!

(Look at picture.............)

Answers

Answer:

3460

Step-by-step explanation:

Answer:

lol

Step-by-step explanation:

imin middle school

Determine wheather the given lines are parallel or not. Write the reasons .​

Answers

Answer:

yes it is parallel because the alternate interior angles are equal

30 points!! If line segment AB is dilated with a scale factor 1.5, what is the length
of the new line segment A'B'?
A) 5 cm
B) 7.5 cm
C) 12.5 cm
D) 15 cm

Answers

Answer:

B

Step-by-step explanation: You divide 30 by 1.5 and then divide 15 by t for segment A and then B

The length of the new line segment A'B' will be D) 15 cm.

What are transformations?

Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.

Dilation: The preimage is scaled up or down to create the image.

Reflection: The picture is a preimage that has been reversed.

Rotation: Around a given point, the preimage is rotated to create the final image.

Translation: The image is translated and moved a fixed amount from the preimage.

Given a line segment AB is dilated with a scale factor of 1.5.

Assuming the line segment has a length of 10 units.

∴ Dilating by a scale factor of 1.5 the length of the dilated line segment A'B'

it will be 1.5(10) = 15 units.

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a tourist information center charges $10 per hour to rent a bicycle

Answers

whats the question? I think you forgot to type it

Answer:

10per the other side of alloys

Answer options:
A:y=-2x+160
B:y=-40x+160
C:y=2x+160
D:y=40x+160

PLEASE I NEED HELP ASAP!

Answers

Answer:

B:y=-40x+160. hello, just typing to take up space

HELP PLSSS . Miley is purchasing several yards of fabric for a school project. If she spent $13.41 and the fabric was $2.98 per yard, how many yards did she purchase?

Answers

Answer:

4.5 yards of fabric.

Step-by-step explanation:

In order to find out how many yards she purchased, you need to divide the money she spent by the price of fabric per yard. Therefore, you divide

13.41/2.98=4.5

4.5 yards of fabric

Challenge 1
A: Can you find the
area of the shape?
B:Can you find the
perimeter of the shape?

Answers

Answer:

A.can you find the area of shape.

find the lengths of the missing side . Simplify all radicals !!!
help mee!!!!!!

Answers

Answer:

[tex] e = 13\sqrt{2} [/tex]

[tex] f = 13\sqrt{2} [/tex]

Step-by-step explanation:

The ∆ given is an isosceles ∆ with a right angle measuring 90°, and two congruent angles measuring 45° each.

Using trigonometric ratio formula, we can find the lengths of the missing side as shown below:

Finding e:

[tex] sin(\theta) = \frac{opp}{hyp} [/tex]

[tex] sin(\theta) = sin(45) = \frac{\sqrt{2}}{2} [/tex]

hyp = 26

opp = e = ?

Plug in the values into the formula

[tex] \frac{\sqrt{2}}{2} = \frac{e}{26} [/tex]

Multiply both sides by 26

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

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

[tex] \frac{\sqrt{2}}{1}*13 = e [/tex]

[tex] 13\sqrt{2} = e [/tex]

[tex] e = 13\sqrt{2} [/tex]

Since side e is of the same length with side f, therefore, the length of side f = [tex] 13\sqrt{2} [/tex]

The following relation is a function: {(-8, – 9), (-4, 5), (1, 5), (4, 7)}

Answers

Answer:

Yes

Step-by-step explanation:

The following relation is a function. When graphed, it passes the vertical line test, and you don't go across any two points at the same time. So therefore, it is a function. Another easy way to determine if the relation is a function is by taking a look at the x-coordinates. If any x-coordinates are the same, then it's not a function. If all x-coordinates are the same, then it's a function.

Hope this helps. Please mark brainliest.

Help Please! Will mark brainliest and all of that
THX :)
(which one is from LEAST to GREATEST)

Answers

Answer:B.

Step-by-step explanation:

-16 is the least. It is behind zero. 3 is near zero but it is still greater. 47 is way past zero.

Second one, negatives are always less than positives and then smaller positive numbers are less than bigger positive numbers
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