Sand falls onto a conical pile at the rate of 10 cubic feet per minute. The radius of the pile is always equal to one half it altitude. How fast is the altitude of the pile increasing when the pile is 5 feet high?​

Answers

Answer 1

Answer:

Either one of these.

Step-by-step explanation:

volumepile=1/3 (PI r^2)h

but r=h/2, so

volume=1/12 PI h^3

dv/dt=10 ft^3/min

but dv/dt=1/12 PI 3h^2 dh/dt

solve for dh/dt

This assumes you mean by "altitude" the height. If you mean altitude as slant height, you have to adjust the fromula

_______________________________________________

given: r = h/2

V = (1/3)π r^2 h

= (1/3)π (h/2)^2 (h)

= (1/12) π h^3

dV/dt = (1/4)π h^2 dh/dt

for the given data ...

10 = (1/4)π(25)dh/dt

dh/dt = 10(4)/((25π) = 1.6/π feet/min


Related Questions

Which equation could be represented by the number line?
O A. 3+(-1) = 2
B. -3+4 = 1
C. -1+(-3) = -4
O D. 1 + 3 = 4

Answers

Letter B I have done this before

Answer:

id say D

Step-by-step explanation:

Think about it. It moves over tree times from the first spot. so D is most reasonable.

Which expressions have a quotient of 3/4?

Answers

Answer:

Step-by-step explanation:

When you divide one number by another, the result is called the quotient.

So, We need more then one number fraction.

I hope this kinda helped.  

Answer:

Step-by-step explanation:

Sorry I have no idea i just need points

NEEED HELP QUICK PLS PLS pls pls pls .

Answers

Answer:

step 4 is correct because h-¹(x)=2x+5

Marking brainiest
Jessica melts 200 grams of dark chocolate that contains 60% cocoa and mixes it with 200 grams of milk chocolate that contains 30% cocoa


What is the concentration of cocoa in the resulting mixture?

Answers

Answer:

45%

Step-by-step explanation:

200g milk chocolate

200g dark chocolate

= 400g of chocolate

x = the %

x/100 = 180/400

18000 = 400x

x = 45

45%

2. 124 2. 1
tell what theroem you used in each class​

Answers

Answer:

Vertical Angles Theorem

Step-by-step explanation:

I'm not sure what you're asking because 2. 124 2. 1 doesn't make mathematical sense, but if angle 1=angle 2, you use the vertical angles theorem.

subtract 9 from y, then subtract 8 from the result

Answers

Answer:

(y - 9) - 8

Step-by-step explanation:

an equation that is perpendicular to x-3y=3 and pases through the point (5,-9) in slope-intercept form

Answers

Answer:

y = - 3x + 6

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

x - 3y = 3 ( subtract x from both sides )

- 3y = - x + 3 ( divide all terms by - 3 )

y = [tex]\frac{1}{3}[/tex] x - 1 ← in slope- intercept form

with slope m = [tex]\frac{1}{3}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{1}{3} }[/tex] = - 3, then

y = - 3x + c ← is the partial equation

To find c substitute (5, - 9) into the partial equation

- 9 = - 15 + c ⇒ c = - 9 + 15 = 6

y = - 3x + 6 ← equation of perpendicular line

x^2+5x-6 how do i factor this

Answers

Answer:

Step-by-step explanation:

you have to use the quadratic equation,

and we will get 2 roots,

x=1 and x=-6

(x-1)(x+6)

x-1)(x+6. Hope it helps man

PLEASEEEEEE HELPPPPPPP

What types of jobs were Deaf people frequently hired for during the wars?

health care

part time

construction

factory

Answers

Answer:

Factory

Step-by-step explanation:

Answer:

factory

Step-by-step explanation:

the rate of change of sales tax on trousers is 10% one can buy a pair of trousers at$660. What is the marked price?

Answers

Step-by-step explanation:

Total price = Marked price + Sales tax

= Marked price + (0.1 * Marked price)

= 1.1 * Marked price.

Since the total price is $660, the marked price is $660 / 1.1 = $600.

Which of the following describes
how the graph of f(x) = x2 is
translated to the graph of
g(x) = (x + 8)27
A. left 8 units
B. right 8 units
C. up 8 units
D. down 8 units

Answers

B because y is always left or right but since it’s positive it’s right

The correct translation will be;

⇒  left 8 units

What is Translation?

A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.

Given that;

The function is,

⇒ f (x) = x²

And, The graph after translation is,

⇒ g (x) = (x + 8)²

Now,

Since, The graph after translation is,

⇒ g (x) = (x + 8)²

And, The function is,

⇒ f (x) = x²

So, We can say that the translation used is,

⇒ left 8 units.

Thus, The correct translation is;

⇒  left 8 units

Learn more about the translation visit:

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Select the correct answer.
g
If g = 8, what is the value of the expression 2+3?
?
ОА. В
O B. (11)
OC. 7
O D.
19

Answers

Answer:

A. 8/5

Step-by-step explanation:

first, you add the bottom and get 5 then you end up with 8 over 5 or answer choice A

Answer:

a

Step-by-step explanation:

g/2+3

g=8

8/2+3

2+3=5

g/2+3=8/5

Which statement is false?
1) All points with an x-value of 3 are located in Quadrant I.
2) There is only one point on the coordinate plane that is on both the x- and y-axes.
3) All points with an x-value of 0 are located on the y-axis.
4) There is only one point on the coordinate plane with an x-value of 2 and a y-value of 2.

Answers

Answer:Choice A)  All points with an x-value of 3 are located in Quadrant I.

We can show it is false through the use of a counter example. For instance, the point (3, -5) is not in quadrant 1, but rather in quadrant 4.

We would need to say "all points with x value 3 and positive y value" to ensure the point is in quadrant 1.

1 because the other 3 make no sense because it 4 wouldn’t be congruent on the other planes and number 3 0 is on the other axis
Deez nurs

A car travels 45 miles on 1 gallon of gas. the car uses 10 gallons of gas how many miles it does travel.

Answers

Answer:

450 miles

Step-by-step explanation:

Answer:

450

Step-by-step explanation:

45 miles for 1 gallon

Every gallon is 45 miles

This is the equation: 45 x G (gallon)

45 x 10 Gallons is 450

Consider the line y = 7x-3.
What is the slope of a line parallel to this line?
What is the slope of a line perpendicular to this line?

Answers

Answer:

Gradient of parallel line= 7

Gradient of perpendicular line [tex] = - \frac{1}{7} [/tex]

Step-by-step explanation:

The equation of the line is already in slope-intercept form (y= mx +c). This means that the coefficient of x is the gradient and the constant -3 is the y-intercept of the line.

y= 7x -3

Gradient= 7

Parallel lines have the same gradient.

Thus, the slope of the line parallel to this line is also 7.

The product of the gradients of 2 perpendicular lines is -1.

(Gradient of perpendicular line)(7)= -1

Gradient of perpendicular line

= -1 ÷7

[tex] = - \frac{1}{7} [/tex]

Hello! :)

Parallel lines have the same slope.

If one line has a slope of 7, then the line parallel to it has a slope of 7 as well.

Now, perpendicular lines have slopes that are opposite reciprocals. It means we take the slope of one line, make it negative, and flop it over:

[tex]7\\-7\\-\frac{1}{7}[/tex]

Hope it helps. Feel free to ask me if you have any questions.

~A determined teen

[tex]MagicalNature[/tex]

Which of the following describes a simple event?

A. Rolling a die and tossing a coin

B. drawing a card from a deck of cards and rolling a die

C. spinning a spinner

D. tossing a coin 3 times

Answers

c. spinning a spinner

Option D is correct, tossing a coin 3 times is a simple event.

What is Probability?

It is a branch of mathematics that deals with the occurrence of a random event.

A simple event is a single outcome or result of an experiment or probability experiment.

In option D, the simple event is tossing a coin once and getting either a heads or a tails.

Since the event is repeated three times, there are a total of 8 possible outcomes (HHH, HHT, HTH, THH, TTH, THT, HTT, TTT).

However, each of these outcomes is made up of three simple events, which are the individual tosses of the coin.

In options A and B, there are multiple events happening, each of which has multiple possible outcomes, so they do not describe a simple event. In option C, there is only one event happening, but there are multiple possible outcomes of that event, so it also does not describe a simple event.

Hence, Option D is correct, tossing a coin 3 times is a simple event.

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do this worksheet if someone do I will make him or her brainly if correct

Answers

Answer:

1. 19/100

2. 3/10

3. 80%

4. 85%

5. 3/20

Write each phrase as an expression. A number more than -13

Answers

Answer:

-13+n

Step-by-step explanation:

n stands for a number

Each day a company used 2 / 8 of a box of paper. How many would they have used after 5 days?

Answers

Answer:

Now to secrtly stalk this man

Step-by-step explanation:

They have used after 5 days, 1 full box and 1/4 of another box.

What is fraction?

Fractions are used to represent smaller pieces of a whole.

Given that, Each day, a company used 2 / 8 of a box of paper.

They are using 1/4 box of paper each day,

So, after 5 days = 5*1/4 = 5/4 = 1+ 1/4

Hence, They have used after 5 days, 1 full box and 1/4 of another box.

For more references on fraction, click;

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What would the function be for the following statement:
"y is 3 more than half of x"?

Answers

Answer:

0

Step-by-step explanation:

Is 3/2 less than greater than equal than 1

Answers

Answer:

greater than

Step-by-step explanation:

2/2 = 1

3/2 = 1 1/2

At 1:00 P.M, you have 24 megabytes of a movie. At 1:15 P.M, you have 96 megabytes. What is the download rate in megabytes per minute?

A) 96 MB per minute
B) 4 MB per minute
C) 8.0 MB per minute
D) 4.8 MB per minute

Answers

9514 1404 393

Answer:

  D)  4.8 MB per minute

Step-by-step explanation:

In the 15 minutes between 1 pm and 1:15 pm, the number of megabytes downloaded was 96 -24 = 72. The rate of download is ...

  (72 MB)/(15 min) = 4.8 MB/min

aight can someone help me lol

Answers

It’s gonna be -1/8 correct me if I’m wrong:)

Find the value of the power by completing the statements.

94

The base is
.
The exponent is
.
Its expanded form is
.
The value of 94 is
.

Answers

Answer:

Step-by-step explanation:

The base is 9

The exponent is 4

The expanded form is 9x9x9x9

The value of 9 to the fourth is 6,561

Answer:

The base is  ✔ 9

The exponent is  ✔ 4

Its expanded form is  ✔ 9 x 9 x 9 x 9

The value of 94 is  ✔ 6,561  

Step-by-step explanation: Got it right on Edge.

Heather is a cashier. She can ring up 121 customers in 9 minutes.
At this rate, how many minutes does it take her to ring up 4 customers

Answers

Answer:

In four minutes Heather can ring up 52 maybe even 53 customers.

Step-by-step explanation:

To find this answer you would have to find how many customers Heather can rind up in one minute. To do this you can do 121 divided by 9 which equals about 13 so you can use 13. And then you would do 13 times 4 because that's how many minutes the question is asking for, and your answer would be about 52, so your answer is about 52 close to 53, you might not get an exact answer for a problem like this. :)

Use order of operations to solve:
14+15(5)-2^2​

Answers

Answer: 95

Step-by-step explanation:

follow the order of operations P.E.M.D.A.S

First multiply 15 with 5 and you get 75. Next, 14+75=99

now for the last part 2^2 is 4

99-4=95

if it’s not 95 it’s 85

4. Calculate the expected value for the spinner at right?
(3pts)
8
1200
24
6

Answers

Answer: The expected value is 12.44

Step-by-step explanation:

The expected value can be calculated as:

EV = ∑xₙ*pₙ

Where xₙ is the n-th outcome. For the case of the spinner we have 3 possible outcomes:

x₁ = 8

x₂ = 6

x₃ = 24

And pₙ is the probability of the n-th event.

For the case of the spinner, the probability of each section will be equal to the quotient between the degrees of each arc, and the total number of degrees in a circle (360°).

First, we can see that for outcome = 8, the angle is a right angle, then it is equal to 90°, then the probability of this event will be:

p₁ = 90°/360° = 0.25

For outcome = 24, we have an angle of 120°, then the probability for this event is:

p₃ = (120°/360°) = 0.33

And the angle for the third arc must be such that:

90° + 120° + A = 360°

then:

A = 360° - 90° - 120° = 150°

Then the probability for the outcome = 6 is:

p₂ = (150°/360°) = 0.42

Now we can find the expected value as:

EV = (8*0.25 + 6*0.42 + 24*0.33) = 12.44

Please help me with my homework!!!!

Answers

Answer:

-3.5

Step-by-step explanation:

Flip the equation so it's 0 - 3.5 which would give you -3.5

Answer:

- 3 [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Any number combined with it's opposite will make zero. The opposite of a number is the same number with it's sign flipped. For example, the opposite of 5 is -5, and the opposite of -3 is 3. If I combine any number, for example 10, with it's opposite, in this case -10, it will make zero. (10 - 10 = 0.) Hope this helps!

Cilia are very thin, hair-like projections from cells. They are 2.0 × 10–4
millimeters wide. What is the maximum number of cilia that would fit
side by side—without overlapping—across a microscope slide that is 25
millimeters wide? Write the answer in scientific notation.

A. 8.0 × 10–6
B. 1.25 × 10–3
C. 8.0 × 102
D. 1.25 × 105

Answers

C.8.0×102

that is my answer

#study well:-)

Find the 43rd term in the sequence: -6, -3, 0,...

Answers

Answer: 129

Step-by-step explanation: 43•3=129

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