Mathematics College

Gravel is being dumped from a conveyor belt at a rate of 15 ft3/hr and its coarseness is such that it forms a pile in the shape of an inverted right cone whose height is three times its base radius. How fast is the height of the pile increasing when the pile has a height of 10 ft

Answers

Answer 1

Answer:

0.43 ft/hr

Step-by-step explanation:

dv/dt = 15ft³/hr

Height = 10ft

We are required to get dh/dt

h = 3r

r = h/3

Formula for volume = 1/3πr²h

We put value of h

1/3π(h/3)²h

= 1/3π(h²/9)h

= 1/3πh³/9

= πh³/29

dv/dt = 1/27π.3h²dh/dt

= dv/dt = πh²/9dh/dt

Remember dv/dt = 15

When we put this in we get

dh/dt = 15x9/3.142x10²

= 135/314.2

= 0.43 ft³/hr

Please check the attachment I added also to add you.

Gravel Is Being Dumped From A Conveyor Belt At A Rate Of 15 Ft3/hr And Its Coarseness Is Such That It

Related Questions

7 9 4
-2 4 -3
3 10 0
Inverse of this

Answers

Answer:

The answer is -7, -9, -4, 2, -4, 3, -3, -10, -0

Step-by-step explanation:

If you see them in the number line, the integers on the left are negative and the integers on the right is positive. Therefore, negative numbers are inverses of positive numbers. For example, 1 is the inverse of -1.

A lunch menu consists of 8 different sandwiches, 5 different soups, and 5 different drinks. How many choices are there for ordering a sandwich, a bowl of soup, and a drink?

A) 291
B) 18
C) 200
D) 296

Answers

the answer is C) 200.

Find the equation of the line passing through the point (8, -4) and slope -4.
A: y + 4x = 22
B: y + 4x = 28
C: y - 4x = 28
D: y + x = 36

Answers

Answer:

y+4x=36

Step-by-step explanation:

the answer isn't in the choice

PLS HELP AND HURRY

After how many hours is the price the same in both companies? Explain how you found the answer.

Answers

Step-by-step explanation: 5

Answer:

Step-by-step explanation:

Raging River costs

y=9x

Paddlers costs

y=x+40

So they cost the same when y=y

9x=x+40

8x=40

x=5

So they cost the same for 5 hours.

Please help and give brainliest answer

Answers


(a^4+5a^2+4)(7a^2)
The answer is:

7a^6+35a^4+28a^2

please help me i really need help please

Answers

Answer:

7: 100

8: 40

9: 74

Step-by-step explanation:

Answer:

7. x= 100 8. x= 40 and 9. x= 74

Step-by-step explanation:

x + 45 +35=180(sum of angle of triangle )

or, x+ 80=180

or, x=180-80

or, x=100

same process as above for all

How many centimeters are in 3.2 inches? [1 inch = 2.5 cm] Show your work.

Answers

Answer:

8 cm

Step-by-step explanation:

Just multiply 3.2 by 2.5

3.2 x 2.5 = 8

Answer:

Sure, your answer is 8

Step-by-step explanation:

3.2 * 2.5=8

Fill the blanks using Product formula. ​

Answers

Answer: (-4s-1)*(-8) + (-4)*(-8s+7)

You have the right idea, but you swapped the items in the wrong order. Meaning that you applied the derivative to the wrong pieces as shown in the order above. It seems you have to follow this specific order for the computer to accept the answer.

Question Help About 6% of the population of a large country is hopelessly romantic. If two people are randomly selected, what is the probability both are hopelessly romantic? What is the probability at least one is hopelessly romantic? Assume the events are independent. (a) The probability that both will be hopelessly romantic is (Round to four decimal places as needed.)​

Answers

Answer:

0.0144

Step-by-step explanation:

Answer:

Step-by-step explanation:

Both

P(both) = 6/100 * 6/100 = 36/10000 = 0.0036

At Least one

Just One

94/100 * 6/100 =  564/10000 = 0.0564    

Both                                            0.0036

Total                                             0.06

                                                   

MULTIPLE CHOICE PLS ANSWER THANKS

Answers

Answer:

I think answer is B

B.10x+150=180

(Need help) (ASAP)

Point: 18

Answers

Answer:

10

Step-by-step explanation:

Sarah has 30 pencils. She wants to give her 5 friends the same amount of pencils. How many pencils does Sarah give each friend? (Write an equation and then solve.)

Answers

Answer:

6 pencils

Step-by-step explanation:

30/5=6

Equation:

30/5=6 pencils each

The price of an item has been reduced by 35%. The original price was $25.

Answers

Step-by-step explanation:

what thanks for free points btw

Answer:

not sure ans sorry if its wrong but i think its 8.75

the slope of a line is 1, and the y-intercept is -1. what is the equation of the line written in slope-intercept form?​

Answers

Answer:

y=x-1

Step-by-step explanation:

Rohan bought an almirah for Rs 15,600 and spent Rs 400 on its transportation. The total C.P is __________

Answers

From the question,

Rohan bought an almirah for =Rs.13600= cost price

Transportation cost =Rs.400

The total cost price of almirah =Rs.(13600+400)

The total cost price of almirah =Rs.(13600+400)=Rs.14000

He sold it for =Rs.16800= selling price

By comparing SP and CP=SP>CP, so there is a gain

Gain=SP−CP

=16800−14000

=Rs.2800

Gain %={(gain/CP)×100}

={(2800/14000)×100}

={2800/140}

=20%

Given that n is an integer, prove that 6 is a factor ofn3+ 5n

Answers

Answer:

n3+5n=6

taking common as n

n(5+3)=6

n8=6

I need help!!!! I’m stuck!!!

Answers

Answer:

66.3

Step-by-step explanation:

3x3 grid using 24cm wire. How much wire for 20x20 grid?

Answers

Answer:

840cm

Let Me Know If This Is Correct I Always Want To Improve!

Thanks :)

need help with this one

Answers

Answer:

Step-by-step explanation:

B + 87 +78 +66 = 360

B = 129 °

the angle next to B then is

180 = 129 + b '

51 °  = b '

A  + 61 + b ' = 180

A = 68 °

In a poll, 417 students voted. Nominee D received 2/3 of the votes. How many did nominee D receive?

Answers

417/3 = 139 x 2 = 278

= 278

Answer:

278 votes

Step-by-step explanation:

[tex]2/3 * 417 = 278[/tex]

Find the area and perimeter of the polygons formed by the algebra tiles below: area: y X perimeter: 1 area: perimeter: 2​

Answers

Answer:

The answer is below

Step-by-step explanation:

a)

The area of the figure = sum of the area of the individual polygons

The area of the figure = x + 1 + y + 1 + x = 2x + y  + 2

The perimeter of the figure = sum of the length of the sides = 2(1 + (x + 1 + y + 1 + x)) = 2(2x + y + 3) = 4x + 2y + 6

b)

a)

The area of the figure = sum of the area of the individual polygons

The area of the figure = y² + xy + 1 + 1 + 1 = y² + xy + 3

The perimeter of the figure = sum of the length of the sides = (y + 1) + x + y + (y + 1) + y + 1 + 1 + 1 + x + 1 = 4y + 2x + 6

m= -3 b= -1 slope intercept form ​

Answers

Answer:

y = -3x-1

Step-by-step explanation:

all u had to do was plug it into y = mx+b

giving brainliest ! *easy*

Answers

Answer:

170

Step-by-step explanation:

17π/18 * 180/π

17*180/18

=170

Solve the equation in two different ways. Choose one method of solving in detail 5x+7(x+1) = 5x - 21

Answers

Answer:

METHOD 1:

5x+7(x+1)=5x-21

5x+7x+7=5x-21

12x+7=5x-21

12x-5x=-21-7

7x=-28

x=28/7

x=4

METHOD 2:

5x+7(x+1)=5x-21

5x+7(x+1)=5x-21-5x

7(x+1)=-21

7x+7=-21

7x=-28

x=4

Step-by-step explanation:

METHOD 1:

5x+7(x+1)=5x-21

5x+7x+7=5x-21

12x+7=5x-21

12x-5x=-21-7

7x=-28

x=28/7

x=4

METHOD 2:

5x+7(x+1)=5x-21

5x+7(x+1)=5x-21-5x

7(x+1)=-21

7x+7=-21

7x=-28

x=4


The area is ___ square meters. UH HELP I need the steps if anyone can!?

Answers

ANSWER:
27m squared

STEP BY STEP:
-Find the area of the rectangle (6*3), which is 18
-Find the area of the triangle (6*2)/2=6
-The second triangle (3*3)/2=3
-Add all the answers up (27)
-Add the label (meters squared)
- your answer is 27m squared

Please help will give brainliest answer

Answers

h=w=4w^3
l=5w^2-3w-4
A=w•l
A=4w^3(5w^2-3w-4)
A=20w^5-12w^4-16w^3
Good luck

The arc length of this circle is 9.42 inches. Determine the length of the radius.

Complete your work in the space provided.

Answers

Answer:

Radius = 5.996958 (They probably just want “6”).

Step-by-step explanation:

9.42x4=37.68 (perimeter)

Perimeter=2[tex]\pi[/tex]r

37.68÷2[tex]\pi[/tex]=r

5.996958=r

Which two numbers are exactly 10 units away from 5?​

Answers

Answer:

-5 and 15

Step-by-step explanation:

10±5 = -5, 15

15 and -5 are exactly 10 units away from zero

1O POINTS PLS ANSWER ASAP THANKS

Answers

Answer:

Step-by-step explanation:

The angle measuring 152 is split up, per se, into 2 angles. One of them is a 90 degree angle, as demonstrated by the little square that is above the 152. That 90 degree angle is on a straight line with the 28 degree angle and the angle measured as x. A straight line has a measure of 180. Therefore, 180 - 28 - 90 = x, so x = 62

i have $2 in my pocket what might be in my pocket (number puzzle)

Answers

Answer:

$2

Step-by-step explanation:

You might have spend the two dollar and got something small and put it in your pocket?
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