a conical tank with vertex down is 10 feet across the top and 12 feet deep. If water is flowing out of the tank at a rate of 12 cubic feet per minute, find the rate at which the water level is dropping when radius of water level is 4ft.

Answers

Answer 1

Answer:

The water level is dropping at a rate of 0.24 ft/s

Step-by-step explanation:

Here, we simply want to calculate the change in depth (height of the cone) , given the volume change

Mathematically, we have the volume of a cone as;

V = 1/3 * π * r^2 * h

we are given dv/dt as 12 ft^3/m

dv/dh = 1/3 * π * r^2

Substituting the value for the radius, we have

dv/dh = 1/3 * 22/7 * 4^2 = 50.29

dh/dt = dh/dv * dv/dt

dh/dv = 1/(dv/dh) = 1/50.29

Thus,

dh/dt = 1/50.29 * 12

dh/dt = 0.24 ft/s


Related Questions

Which statement is true? CLEAR CHECK 0.25 = 14 because 25100 = 14 0.20 = 2010 because 0.20 means 20 tenths 0.23 > 12 because 0.23 = 23 0.4 = 14 because they are on the same place on a number lin

Answers

Answer:

because 25/100 = 1/4

0.20 = 20/100

Step-by-step explanation:

because 25/100 = 1/4

0.20 = 20/100

because 0.20 means 20 tenths 0.23 > 1/2

because 0.23 = 23

0.4 = 1/4

because they are on the same place on a number lin

Find the x value of the system of equations. Use the technique of ELIMINATION to solve this problem. Proper work must be shown on your work submission. 3x-2y=4 5x+y=11 the answer choices are 2 , -1 , 1 , -2

Answers

Answer:

2

Step-by-step explanation:

Given the equation :

3x - 2y = 4 - - - (1)

5x + y = 11 - - - (2)

Multiply (1) by 1 and (2) by 2

3x - 2y = 4 - - - - - (3)

10x + 2y = 22 - - (4)

Add (3) and (4)

13x = 26

x = 26/13

x = 2

(Y-2,2x+1)=(x-1,y+2)

Answers

Answer:

x=2 and y=3

Step-by-step explanation:

y-2=x-1

or,x-y=-1.......(1)

again,

2x+1=y+2

or,2x-y=1.......(2)

now,

solving equations (1)&(2),we get,

x=2 and y=3

Which of the following is a monomial?

A.−5x

B.5x+1

C.x2+x

D.x+5+x−7

Answers

Answer:

A.

Step-by-step explanation:

A monomial is an expression in algebra that contains one term, like 3xy. Monomials include: numbers, whole numbers and variables that are multiplied together, and variables that are multiplied together. A polynomial is a sum of monomials where each monomial is called a term.  

pOiNtS gIvE aWaY i DoNt HaVe MuCh BuT hErE yA gO

Answers

Answer:

Gracias generous mane •‿•

Step-by-step explanation:

Answer:yes

Step-by-step explanation:

Given an inequality, what strategies can we use to determine where the boundary line is? Explain your strategies in detail.

4x+3y≥12

Answers

Answer:

Step-by-step explanation:

The strategy to determine the boundary line is that we need to remove the inequality sign and replace it with and equal to sign and then sketch the equation of the function which is

[tex]4x+3y=12[/tex]

to sketch the function we need the function's x-intercept which means the graphs crosses the x-axis at that specific point (x , 0) and y-intercept which means the graph crosses the y-axis at that specific point (0 , y).

Since both these points lie on line we can substitute it into the equation to find the x-y intercepts and hence sketch the line so here goes.

For x-intercept:

[tex]4x+3y=12\\4(x)+3(0)=12\\4x=12\\x=12/4\\x=3[/tex]

so the x-intercept is (3 , 0)

For y-intercept:

[tex]4x+3y=12\\4(0)+3(y)=12\\3y=12\\y=12/3\\y=4[/tex]

so the y-intercept is (0 , 4)

now we sketch these 2 points and draw a straight line joining both the points as shown in the image below.

A bag has 5 yellow marbles, 3 red marbles, and 2 blue marbles. Quinn randomly picks a marble from the bag and returns it before another is picked. How many times would Quinn expect to a blue marble if he picks a marble 200 times

Answers

Answer:

He would expect to see the blue marble 40 times. Hope this helps!

Step-by-step explanation:

Answer:

40 blue marbles

Step-by-step explanation:

You would find the probability of a blue marble

2 blue/ ( 5+3+2) total

2 divided by 10 is 1/5

Then, you multiply 200 and 1/5 together, which would equal 40.

Quinn should expect to pick 40 blue marbles.

what ordered pair is a solution to the equation y= -2/3x + 9?
(-3/2, 10), (0, 10), (-1, 10 2/3), (2/3, 10)

Answers

Answer:

(-3/2, 10)

Step-by-step explanation:

(x, y)

Set y = 10

10 = -2/3(x) + 9

x = -3/2

(-3/2, 10)

Set y = 10 2/3

10 2/3 = -2/3(x) + 9

x = -5/2

(-5/2, 10 2/3)

You can also plot the line and see which point is on the line which would be (-3/2, 10).

The ordered pair that represents the solution to y= -2/3x + 9 is: A.  (-3/2, 10)

Recall:

An ordered pair, (x, y) is a solution to a given equation if we plug the x and y values of the ordered pair and the equation remains TRUE.

Thus, plug in the ordered pair, (-3/2, 10) into y= -2/3x + 9:

10 = -2/3(-3/2) + 9

Simplify

10 = 1 + 9

10 = 10 (TRUE)

Therefore, the ordered pair that represents the solution to y= -2/3x + 9 is: A.  (-3/2, 10)

Learn more about solution to an equation on:

https://brainly.com/question/15523338

Please help! I will mark the brainliest!
How do you graph the equation...
y=6x+600
y=8x
y=1300+3x
with a domain of 0 t 650 and a range of 0 d 1500

Answers

The first is in the form y=Mx+b where m is the slope and b is the y-intercept. Start at 600 on the y-axis and graph with a slope of six. The second is in the same form but the y-intercept is 0, so start at the origin and graph with a slope of 8. The last is in the form y=b+mx, so start at 1300 and graph with a slope of 3. Remember, slope is rise/run or (change in y)/(change in x). Since the domain and range start at 0 these graphs will only be in the first quadrant with an x limit of 650 and a y limit of 1500.

can someone help with this equation?

Answers

Answer:

OK what is equation ??????

Who's ur favorite song artist?

Answers

Probably Metallica or Pink Floyd
I like drake, he drops greaaatt music every year, you?

Find the equation of the line.
Use exact numbers.
y =
+

Answers

Step-by-step explanation:

The equation of the line is y = 4x - 9.

You bought a soda for $0.50, then sold it for $1.00. What was the percent
change?

Answers

Answer:

50

Step-by-step explanation:

Answer:

I think the answer is 50%

Step-by-step explanation:

$1.00-$0.50=$0.5

0.5 as a percentage is 50%

jasmine deals 2 cards. whats the probability of dealing 2 hearts in a row if she didn't replace the card after it was dealt?

WILL GIVE BRAINLIEST FOR CORRECT ANSWER

Answers

Assuming the deck is shuffled well and the dealings are random, the answer is the probability she deals a heart on the first dealing * the probability she deals a heart on the second dealing given she dealt a heart on the first dealing. Since we are sampling without replacement we need to include this given part. The answer is in the image :) apologies for bad handwriting but answer is .0588 or a 5.88% chance

It takes 12 hours to fill a pool with two pipes, where the water in one pipe flows three times as fast as the other pipe. How long will it take the slower pipe to fill the pool by itself

Answers

I think it’s 72hours

4. Find x. Please help and explain.

Answers

Answer:

x is in top of 5.9

Step-by-step explanation:

hope it helps u find x and if you still cant find it try some glasses

Answer:

11.8

Step-by-step explanation:

because those two 5.9 if you look those two segments put together make a line that is the same length as x so if you add them up it's 11.8

Please Help Me with this one too

Answers

Answer:

The second one

Step-by-step explanation:

0.5 times 5 is 2.5

2.5 plus 14 is 16.5

0.5 times 10 is 5

5 plus 14 is 19

And so on

For one Chemistry test, Joan had to answer 40 questions. Of these 40 questions, Joan answered 22 of them correctly. What percent did Joan get on her Chemistry test? Round your answer to the nearest whole number if necessary. *

Answers

Answer:

55%

Step-by-step explanation:

The total number of questions gotten correctly = 22

The total number of questions to be answered = 40

The percent of questions Joan got correctly is calculated as:

(The total number of questions gotten correctly/The total number of questions to be answered) × 100

22/40 × 100

= 55%

Brian is baking apple pies to donate to a local retirement home. Apples are selling for $2.90 a pound. How much will it cost Brian to buy 3.8 pounds of apples

Answers

Step-by-step explanation:

Brian would need $2.90 * 3.8 = $11.02 to buy the 3.8 pounds of apples.

Answer:$11.02

Brian would need ($2.90 * 3.8 = $11.02)to buy all the 3.8 pounds of apples.

Clare analyzes oil prices in her economics class. She finds that the mean oil price between 1988 and 2002 is $27 per barrel with a standard deviation of $5.50 per barrel. Select the z-score for a price of $35.25 per barrel. (Select one answer)

0.67

1.5

8.25

-8.25

Answers

Answer:

Option 2: 1.5 is the correct answer.

Step-by-step explanation:

Given information is:

Mean = μ = $27

SD = σ = $5.50

A z-score simply tells us how far a selected data value from the mean is.

Z-score is denoted by z and is given by the formula:

[tex]z = \frac{x-mean}{SD}[/tex]

Let x = $35.25

Putting the values of mean and SD we get,

[tex]z = \frac{35.25-27}{5.50}\\z = \frac{8.25}{5.50}\\z =1.5[/tex]

The value of z-score for a price of $35.25 per barrel is 1.5

Hence,

Option 2: 1.5 is the correct answer.

4.
What is the slope of the line with the equation y = 4x + 12
a) 4
b) 1/4
C) -4
d) -1/4

Answers

4 is the slope of the line of equation
a, 4. that is the x thru x and y so it is a

1.2(4x – 1) = 8x – 2


2(4x – 1) = –8x – 2

whats the solution :one , infently, or no solutions

Answers

6x

Step-by-step explanation:

1.2(4x-1)=8x-2=6x

Mr. Clemens painted his barn for 3 and 4/5 hours in the morning. He painted the barn for 5 and 3/4 hours in the afternoon. How many more hours did Mr. Clemens paint the barn in the afternoon than in the morning?

Answers

Answer:

1 19/20 hours

Step-by-step explanation:

We solve the above question using Subtraction operation

Hence:

The number rod hours Mr. Clemens painted the barn in the afternoon than in the morning is calculated as:

5 3/4 hours - 3 4/5 hours

5- 3 +( 3/4 - 4/5)

Lowest Common Denominator = 20

2 + (15 - 16/20)

2 + -1/20 hours

= 1 19/20 hours

What is the constant rate of change between the values of x and y in the table?

Answers

The answer is -3/2. ( I used the formula y/x)

HELP PLZ! SERIOUS ANSWERS ONLY THO!
You are going to design an advertisement for a new polynomial identity that you are going to invent. Your goal for this activity is to demonstrate the proof of your polynomial identity through an algebraic proof and a numerical proof in an engaging way! Make it so the whole world wants to purchase your polynomial identity and can't imagine living without it!

You may do this by making a flier, a newspaper or magazine advertisement, making an infomercial video or audio recording, or designing a visual presentation for investors through a flowchart or PowerPoint.

You must:

Label and display your new polynomial identity
Prove that it is true through an algebraic proof, identifying each step
Demonstrate that your polynomial identity works on numerical relationships
Warning! No identities used in the lesson may be submitted. Create your own using the columns below. See what happens when different binomials or trinomials are combined. Square one factor from column A and add it to one factor from column B to develop your own identity.

Column A Column B
(x − y) (x2 + 2xy + y2)
(x + y) (x2 − 2xy + y2)
(y + x) (ax + b)
(y − x) (cy + d)

Answers

COLUM A




I think maybe it is

Diagram shows the distance-time graph of teo cars. FGHI shows the journey of car J from town K to town L. MGN shows the journey of car P from town L to town K. When did the two cars meet?​

Answers

Answer:

1100 is when the two cars met

Step-by-step explanation:

the two lines intercept at 1100, 60km

A subtract 3g^2 + 5g + 2g - 2 from 6g^2 + 6 - 4g + 2g^2

Answers

1. Collect like terms.

(6g^2+2g^2-3g^2)+(6-2)+(-4g+5g+2g)

2. Simplify

5g^2+4+3g

Sorry i'm hoping that helps, i'm on a school computer i cant see the picture you attached but i did 6g^2 + 6 - 4g + 2g^2 - 3g^2 + 5g + 2g - 2 because that's what it seemed you were asking.

how many of the equations listed below represent the line passing through the points (2,3) and (4,-7)

Answers

Answer: 3 equations

Step-by-step explanation:

The 4th one doesn’t work for both pairs.

1st : 3 - 7 = -4 | 5 x 2 = 10 5 x 4 = 20

10 - 20 = -10.  

-4 does not equal -10

2nd equation : -7 - 7 = -14  

5 x 4 = 20| 5 x 4 = 20 20 - 20 = 0

-14 does not equal 0

The only one equation that represents the line passing through both points is y = -x + 5. which is the correct answer that would be an option (D).

What is an equation?

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

To determine the number of the given equations representing the line passing through the points (2,3) and (4,-7), you can substitute the coordinates of these points into the equations and see if they are satisfied.

If an equation is satisfied by both points, then the line described by that equation passes through both points.

Here are the given equations:

A. y = 3x + 5

B. y = -7x + 1

C. y = x + 1

D. y = -x + 5

E. y = -1/3x + 1

Substituting the coordinates of the point (2,3) into each of these equations, we find that equations A, C, and D are satisfied by this point.

Substituting the coordinates of the point (4,-7) into each of these equations, we find that equations B and D are satisfied by this point.

Therefore, the only one equation that represents the line passing through both points is D. Thus, the answer is 1.

Learn more about the equation here:

brainly.com/question/10413253

#SPJ2

The question seems to be incomplete the correct question would be

how many of the equations listed below represent the line passing through both points (2,3) and (4,-7).

A. y = 3x + 5

B. y = -7x + 1

C. y = x + 1

D. y = -x + 5

E. y = -1/3x + 1

If a $1000 computer is marked off 35%, what is the sale price?

A) $300

B) $350

C) $650

D) $1350

Answers

What I did was I took the $1000 and subtracted the percent off (35% equals 350)

[tex]1000 - 350 = 650[/tex]

The total cost of the sale price is $650 (C)

Thank you! btw can i please get brainly :3

Answer:

650

Step-by-step explanation:

1000-350=650

What does 7/2h(-15h + 1 1/2) equal to? x doesn’t equal anything.

Answers

Answer: -7 (30h - 11) / 4h

Step-by-step explanation:

Answer:

Step-by-step explanation:

All you can do is remove the brackets.

7/2 h * -15h = -52.5 h^2

7/2 h * 1 1/2= 7/2h * 3/2 = 21/4 h =5.25 h

7/2h(-15h + 21/4) = - 52.5 h^2 + 5.25 h = -52 1/2 h^2 + 5 1/4 h

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