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

Factor 24x – 18 using the GCF​

Answers

Answer:

24x – 18

6(4x-3)is required factor.

I need help on deltamath

Answers

Answer:

(-4,-5)

Step-by-step explanation:

(x,y)... always x-axis first and then y-axis

The market is located at point (−3, −2) on the coordinate graph.

The barber shop is 6 units to the right and 5 units up from the market.

Graph two points on the coordinate grid to show the location of the market and the location of the barber shop.

Answers

Answer:

(2,4)

Step-by-step explanation:

For addition, drag tiles onto the board.
To form a group, place one tile on top of another.
What is the sum of -2 and -7?
Board sum: 0
Reset

Answers

Answer:

-9

Step-by-step explanation:

The sum of -2 and -7 is given as follows;

-2 + (-7)

In mathematical operations, +  *  - is -.

So we have;

-2 - 7

This gives us: -9

Answer:

10

Step-by-step explanation:

im on enginuity leson multiplying with intager tiles qestion 4

Graph the solution set to this inequality 3x -12 >_ 7x+4

Answers

Answer:

x [tex]\leq[/tex] -4

Step-by-step explanation:

1. 3x-12 [tex]\geq[/tex] 7x+4

add 12 to 12 to cancel it out, add 12 to 4.

2. 3x [tex]\geq[/tex] 7x+16

subtract 7x from 7x to cancel it out, subtract 7x from 3x.

3. -4x [tex]\geq[/tex] 16

divide -4 from -4x to cancel it out, divide -4 from 16.

4. x [tex]\geq[/tex] -4

since division was involved, the inequality symbol needs to be reversed.

ANSWER: x [tex]\leq[/tex] -4

write the equation of the line for the following table of values.


x. -3 -5 -7 -9 -11


y. -16 -26 -36 -46 -56


Plz helppp 35 points:)​

Answers

Answer:

We conclude that the equation of the line is:

[tex]y = 5x + 1[/tex]

Step-by-step explanation:

The slope-intercept form of the line equation

[tex]y = mx+b[/tex]

where

m is the slopeb is the y-intercept

Given the data table

x      -3 -5 -7 -9 -11

y      -16 -26 -36 -46 -56

From the table taking two points

(-3, -16)(-5, -26)

Determining the slope between (-3, -16) and (-5, -26)

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-3,\:-16\right),\:\left(x_2,\:y_2\right)=\left(-5,\:-26\right)[/tex]

[tex]m=\frac{-26-\left(-16\right)}{-5-\left(-3\right)}[/tex]

[tex]m=5[/tex]

Thus, the slope of the line is:  m = 5

substituting m = 5 and (-3, -16) in the slope-intercept form of the line equation  to determine the y-intercept b

[tex]y = mx+b[/tex]

-16 = 5(-3) + b

-16 = -15 + b

b = -16+15

b = 1

Thus, the y-intercept b = 1

now substituting m = 5 and b = 1 in the slope-intercept form of the line equation

[tex]y = mx+b[/tex]

[tex]y = 5x + 1[/tex]

Therefore, we conclude that the equation of the line is:

[tex]y = 5x + 1[/tex]

Which brand would Cala need more of to fertilize her 450-foot row of vegetables

Answers

Answer:

What do,you mean

Step-by-step explanation:

Zared plays basketball on his high school team. One of the things he needs to practice is his free throws. On his first shot, there is a probability of 0.6 that he will make the basket. If he makes a basket, his confidence grows and the probability he makes the next shot increases by 0.05. If he misses the shot, the probability he makes the next one decreases by 0.05.
He takes 5 shots. What is the probability he makes at least 3 shots? (Hint: a tree diagram might be a helpful strategy)

Answers

Answer:

lol brainliest

Step-by-step explanation:

The probability that he makes at least 3 shots is P{E} = 0.15

What is a probability?               Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.

Given is that Zared plays basketball on his high school team. One of the things he needs to practice is his free throws. On his first shot, there is a probability of 0.6 that he will make the basket. If he makes a basket, his confidence grows and the probability he makes the next shot increases by 0.05. If he misses the shot, the probability he makes the next one decreases by 0.05.

If he takes 5 shots, than the probability that he makes at least 3 shots is-

P{E} = 5 x 0.05 - 2 x 0.05

P{E} = 0.25 - 0.1

P{E} = 0.15

Therefore, the probability that he makes at least 3 shots is P{E} = 0.15.

To solve more questions on functions, expressions and polynomials, visit the link below -

brainly.com/question/17421223

SPJ2

Ivan has 6 times as many blue beads as red beads. he has 49 red and blue beads in all. how many blue beads does Ivan have​

Answers

Answer:

Ivan has 42 blue beads.

Step-by-step explanation:

We need to find how many blue beads Ivan has.

Blue beads = 6 times as many as red beans

b = 6r

r + b = 49

r + (6r) = 49

7r = 49

Divide both sides by seven to isolate r

r = 7

b = 6(7)

b = 42

Which decimal is equivalent to 7.5%? A 7.5 B 0.75 C 0.705 D 0.075

Answers

Answer:

D.) 0.075

Step-by-step explanation:

The Answer is D. (0.075)

Decide whether the two equations are equations are equivalent 7v-3/2=5 14v-3=15 sho work

Answers

Answer:

Not equivalent.

Step-by-step explanation:

The given equations are :

7v-3/2=5 ....(1)

14v-3=15 ....(2)

Taking equation (1) first,

7v-3/2=5

Adding 3/2 to both the sides.

7v-3/2+3/2=5+3/2

7v = 6.5

v = 0.928

Taking equation (2).

14v-3=15

Adding 3 to both sides.

14v-3+3=15+3

14v=18

v = 1.285

So, the values of v in both equations ar not the same. It means two equations are not equivalent.

Why is it impossible for m

Answers

Answer:

? What M? What is impossible?

write 36/48 in simplest form​

Answers

Answer:

3/4

Step-by-step explanation:

heyyyyyyyyyyyyyyyyyyyyy

Answer:

3/4 (find the GCF, greatest common factor, and divide both sides [12])

Step-by-step explanation:

please mark brainliest, give a thanks, and rate a five stars if this helped! feel free to ask anymore questions if you need any more help! thanks!

(lol optional): add my sc: tealyn337

What interval notation represents the data graphed below?
A. [-∞, -2) U [4, ∞]
B. [-∞, -2] U (4, ∞]
C. (-∞, -2] U (4, ∞]
D. (-∞, -2) U [4, ∞)

Answers

Answer: Choice D

[tex](-\infty, -2) \cup [4, \infty)[/tex]

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

Explanation:

The left portion is the interval (-∞, -2)

This is a shorthand way of saying [tex]-\infty < x < -2[/tex]

The curved parenthesis says "do not include this endpoint as part of the solution set". Note the open hole at x = -2 in the diagram.

In contrast, the value x = 4 is included (due to the filled in circle), so we use a square bracket for this endpoint. Therefore, the right-hand portion is represented by [4, ∞) which translates to [tex]4 \le x < \infty[/tex]

Negative and positive infinity will always use a parenthesis, and never a square bracket. This is because we can only approach infinity but never reach it, so we cannot include it as an endpoint.

All of this builds up to the full interval notation to be [tex](-\infty, -2) \cup [4, \infty)[/tex]

The only square bracket is near the 4; everything else is a curved parenthesis. This is why choice D is the final answer.

Which of the following graphs represents a function?

Answers

9514 1404 393

Answer:

  (a)  see below

Step-by-step explanation:

The graph that has no two points one above the other is the graph of a function. That is the first of your attachments.

Which of the following statements are true?
The value of the 5 in 592,841 is 10 times the value of the 5 in 358,764.
The value of the 6 in 861,257 is 10 times the value of the 6 in 651,042.
The value of the 8 in 358,764 is 10 times the value of the 8 in 592,841.
The value of the 5 in 592,841 is in of the value of the 5 in 358,764.
The value of the 6 in 861,257 is in of the value of the 6 in 651,042.
The value of the 8 in 358,764 is id of the value of the 8 in 592,841.

Answers

The value of the 5 in 592,841 is 10 times the value of the 5 in 358,764

Answer:

5/6 is eaqual to 2.5/3

Step-by-step explanation:

What is | -7.9 ?
help

Answers

I think you mean |-7.9| which is the absolute value of 7.9
Absolute value just means how far away it is from zero on a number line.
So the value is always positive. So the positive of -7.9 is 7.9
|-7.9|= 7.9
Good luck!
Please brainliest

help please pleasdes​

Answers

Answer: Triangle A'B'C is an enlargement of triangle ABC

Step-by-step explanation: When figuring out whether a dilation of a triangle is an enlargement or reduction, you see if the scale factor is larger or smaller than 1. If the scale factor is less than 1, it's a reduction. If the scale factor is larger than 1, it's an enlargement. 4/3 > 1 so this means the triangle gets bigger and is an enlargement. This means triangle A'B'C is an enlargement of triangle ABC.

A pizza shop sells three sizes of pizza, and they track how often each size gets ordered along with how much they profit from each size. Let X represent the shop's profit on a randomly selected pizza. Here's the probability distribution of X along with summary statistics:
Small Medium Large
X = profit ($) 4 8 12
P(X) 0.18 0.50 0.32
Mean: μX = $8.56
Standard deviation: σx =$2.77
The company is going to run a promotion where customers get $2 off any size pizza. Assume that the promotion will not change the probability that corresponds to each size. Let Y represent their profit on a randomly selected pizza with this promotion. What are the mean and standard deviation of Y?

Answers

Answer:

The mean and standard deviation of Y is $6.56 and $2.77 respectively.

Step-by-step explanation:

Consider the provided information.

Let Y represent their profit on a randomly selected pizza with this promotion.

The company is going to run a promotion where customers get $2 off any size pizza.

Therefore, [tex]Y=\text{Profit}-\$2[/tex]

[tex]Y=X-\$2[/tex]

So the mean will be reduced by 2.

[tex]\mu_Y=\mu_X-\$2[/tex]

[tex]\mu_Y =\$ 8.56 - \$2[/tex]

[tex]\mu_Y =\$6.56[/tex]

If we add or subtract any constant number from a given distribution, then the mean is changed by the same number(i.e constant number) but the standard deviation will remain the same.

Therefore [tex]\sigma_Y=\sigma_X=2.77[/tex]

Hence, the mean and standard deviation of Y is $6.56 and $2.77 respectively.

solve the equation. 7+3lnx=20

Answers

Answer:

Simplifying

7 + 3lnx = 15

Solving

7 + 3lnx = 15

Solving for variable 'l'.

Move all terms containing l to the left, all other terms to the right.

Add '-7' to each side of the equation.

7 + -7 + 3lnx = 15 + -7

Combine like terms: 7 + -7 = 0

0 + 3lnx = 15 + -7

3lnx = 15 + -7

Combine like terms: 15 + -7 = 8

3lnx = 8

Divide each side by '3nx'.

l = 2.666666667n-1x-1

Simplifying

l = 2.666666667n-1x-1

Answer:

The answer for " X" would be,

[tex]x = \frac{13}{3in} [/tex]

The answer for "N" would be,

[tex]n = \frac{13}{3ix} [/tex]

I'm supposed to solve for PQ. it's pythagorean theorem.​

Answers

Answer:

29 i think

Step-by-step explanation:

pythagoreon thereom is a^2+b^2=c^2 so c^2 being the hypotneuse you would do 2*2=4 +5*5=25 and 4+25=29

What is always true about the net of a prism? O It contains 0 triangles. o It contains O or 2 triangles. olt contains 3 or more triangles. O It contains 4 or more triangles. HURRY ITS A TEST ​

Answers

Answer:

It contains 0 or 2 triangles.

Step-by-step explanation:

Answer:

its b

Step-by-step explanation:

find the area or this triangle ​

Answers

Answer:

Area of triangle = 15 square units

Step-by-step explanation:

We need to find area of the triangle, given the vertices:

A=(4,0)

B=(1,5)

C=(7,5)

The formula used is: [tex]Area\:of\:triangle=\frac{1}{2}(x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2))[/tex]

We have: [tex]x_1 =4, y_1 =0, x_2 =1, y_2=5, x_3=7 , y_3=5[/tex]

Putting values and finding area

[tex]Area\:of\:triangle=\frac{1}{2}(x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2))\\Area\:of\:triangle=\frac{1}{2}(4(5-5)+1(5-0)+7(0-5))\\Area\:of\:triangle=\frac{1}{2}(4(0)+1(5)+7(-5))\\Area\:of\:triangle=\frac{1}{2}(0+5-35)\\Area\:of\:triangle=\frac{1}{2}(-30)\\Area\:of\:triangle=-15[/tex]

We will be ignoring negative sign, because area of triangle is positive.

So, Area of triangle = 15

If 10 men can cut a piece of lawn in 4
days, how long will it take 8 men to
cut the same lawn?​

Answers

Answer:

About 3

Step-by-step explanation:

Step-by-step explanation:

10 men =4 days

8 men =x days

cross multiply

10×x=8×4=24

Need help ASAP swill mark Brainly

Answers

Answer:

B

Step-by-step explanation:

Hope it helps!

Answer:

-1 and 1/7

Step-by-step explanation:

hope this helps! have a great day!

Rachel wants to use the Distributive Property to rewrite 72 + 45. Which expression could she use?

Answers

Answer:

1.17 x 10^2

Step-by-step explanation:

Im pretty sure its right

(21.) A writer earns $3400 a month. Last month she spent $204 on food.
What percent of her income was spent on food?

Answers

6 percent was spent

Answer: 6%

Step-by-step explanation:

3400's x%=204

(3400)x/100=204

34x=204

34x/34=204/34

I used my calculator to divide

x=6

So  6%

8 + 3 × (4 ÷ 2) − 7



Step 1: 8 + 3 × 2 − 7

Step 2: 11 × 2 − 7

Step 3: 22 − 7

Step 4: 15



In which step does a mistake first appear?

Answers

Step 2

Follow Bodmas (Brackets, other, divide, multiply, add, subtract)

8+3*(4/2)-7
8+3*2-7
8+6-7
14-7
7

Solve for the missing monomial F.
-27x3y - (-3x)(F)

Answers

Answer:

7

Step-by-step explanation:

answer quick will give 20 points

Answers

Answer:

I think c but I'm not sure

Answer:

C: (-3,6)

Step-by-step explanation:

add both equations

5x+2x+2y-2y=-15+(-6)

7x=-21

x=-3

input x=3 into any equation in system and solve for y

2(3)-2y=-6

-2y=-12

y=6

solution: (-3, 6)

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