Gravel is being dumped from a conveyor belt at a rate of 40 ft3/min, and its coarseness is such that it forms a pile in the shape of a cone whose base diameter and height are always equal. How fast is the height of the pile increasing when the pile is 11 ft high? (Round your answer to two decimal places.)

Answers

Answer 1

Answer:

0.42ft/mn

Step-by-step explanation:

we have the following information to answer this question

dv/dt = 40 feet

height = 11 ft

volume = 1/3πr²h

= 1/3π(h/2)²h

= 1/3πh³/4

= πh³/12

dv/dt = π3h²/12

= πh²/4

dh/dt = 4/πh²dv/dt

= 4(40)÷22/7(11)²

= 160/380.29

= 0.42 ft/min

The height of the pile is therefore increasing by 0.42ft/min at a height of 11 feets

Gravel Is Being Dumped From A Conveyor Belt At A Rate Of 40 Ft3/min, And Its Coarseness Is Such That

Related Questions

Suppose a normal distribution has a mean or 70 and a standard deviation of 7. What is P(x>=94)? O A. 0.075 O 8. 0.025 c. 0.84 OD 0,16​

Answers

Answer:

0.025

Step-by-step explanation:

Mean = 79 ; Standard deviation = 7

P(x ≥ 93)

We obtain the ZSCORE :

Zscore = (x - mean) / standard deviation

x = 93

Zscore = (93 - 79) / 7 = 2

P(Z ≥ 2) = 0.02275

A density graph is used to find the probability of a discrete random variable
taking on a range of values.
A. True
B. False

Answers

Answer:

False

Step-by-step explanation:

This is false because A density graph is not used to find the probability of a discrete random variable taking on a range of values. This is because you have to use a calculations instead of a graph. The correct how to calculate is: Determine a single event with a single outcome. Identify the total number of outcomes that can occur. Divide the number of events by the number of possible outcomes.

Therefore, it's B ( false).

PLS HELP For the upcoming holiday season, Dorothy wants to mold 20 bars of chocolate into tiny pyramids. Each bar of chocolate contains 6 cubic inches of chocolate. Dorothy
plans to make chocolate pyramids with a square base of 1 square inch and a height of 2 inches. What is the largest number of pyramids she can make from the 20
bars of chocolate?
A.
180
Св.
240
OC
450
OD
520
E.
580

Answers

Answer:

180

Step-by-step explanation:

Answer:

Step-by-step explanation:180

please can anybody help me?​

Answers

Answer:

A) BEM is an acute angle. B) MBX is an obtuse angle. C) XBE is a straight angle. D) XBE is an angle of vertex B. E) MBY is an angle of side [My). F) Another name for angle BER is REB. G. XBY and MBE are adjacent. EBY and XBM are supplementary angles.

Expand and simplify 4(p+2)-3(5-6p)

Answers

Step-by-step explanation:

4p+8-15+18p=04p+18p=-8+15

22p-7

pahelp po pls.... BRAINLIEST KO PO ANG TAMANG SAGOT PLSS:((​

Answers

Answer:

i can not understand your language please type in english

(please help me with these)
Draw the figures with the following dimensions. Then, solve for the missing terms.

Answers

9514 1404 393

Answer:

V = 125 m³l = 7.5 cm

Step-by-step explanation:

You have not told us the sort of figure you're supposed to draw. If these are cuboids, then their drawings are substantially similar to the one shown in the attachment. Your figures may need to show the units on each of the dimensions.

1. A cube with edge lengths of 5 m has a volume of ...

  V = s³

  V = (5 m)³ = 125 m³

__

2. A cuboid with the given volume and other dimensions has a length of ...

  V = lwh

  675 cm³ = l(9 cm)(10 cm)

  675 cm³/(90 cm²) = l = 7.5 cm . . . . . . . . divide by the coefficient of l

Write a linear equation in standard form for the line that goes through (2, -3)
and (4, -2).
A. X + 2y = -4
B. y - 3 = {(x - 2
C. x - 2y = 8
D. X+ 4y = 12

Answers

9514 1404 393

Answer:

  C.  x -2y = 8

Step-by-step explanation:

One way you can do this is to use the form ...

  (Δy)(x -x1) -(Δx)(y -y1) = 0

where Δx = x2 -x1 = 4 -2 = 2, and Δy = y2 -y1 = -2 -(-3) = 1

This gives ...

  (x -2) -2(y -(-3)) = 0 . . . above form with numbers filled in

  x -2y -8 = 0 . . . . . . . general form

  x -2y = 8 . . . . . . . . .  standard form

_____

Additional comment

You can use any of several other strategies, including finding the slope and y-intercept, then rearranging the equation.

Another strategy that works is to try the answer choices. You might notice that the first given point works in the first equation, so it may make sense to try the second given point in each equation.

The above version of the equation of a line is a variation on one that says the slope of a line is the same everywhere:

  [tex]\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{y-y_1}{x-x_1}\ \Rightarrow\ (y_2-y_1)(x-x_1)=(x_2-x_1)(y-y_1)\\\\(y_2-y_1)(x-x_1)-(x_2-x_1)(y-y_1)=0[/tex]

A new car's original price is $13,999. If it's on sale for 10% off, what's the new price?​

Answers

Answer:

12,599.1

Step-by-step explanation:

13,999 * 0.9 = 12,599.1

Answer:

1399.9

Step-by-step explanation:

Firstly you get your number 13'999 and divide it by ten because its ten percent of.

3. An expandable cone-shaped funnel consists of two sections as shown. (a) What is the volume of the bottom section? (b) What is the volume of the top section?

Answers

Answer:

1. Volume of cone =  

where h is the height of the cone and r is the radius.

2. The bottom section is a cone with radius 6/2 = 3 (cm) and height= 8 cm

so the volume =  ()

3. The volume of the top section is the volume of the cone - volume of bottom cone, which we already found.

V(cone)=

V(top section)=192-24=168

Step-by-step explanation:

Jonas runs a pet store that sells guinea pigs. He wants to ensure he has more than 1 pound of dry food for every five guinea pigs he has in the store. He currently has 8 pounds of dry food and wants to know how many guinea pigs can he have in the store. Write and solve an inequality to solve this problem. What is the solution to the inequality?

Answers

Answer:

He can have 40 guinea pigs in the store.

Step-by-step explanation:

Since Jonas runs a pet store that sells guinea pigs, and he wants to ensure he has more than 1 pound of dry food for every five guinea pigs he has in the store, and he currently has 8 pounds of dry food, to know how many guinea pigs can he have in the store, the following equation must be performed:

1 = 5

8 = X

8 x 5 = X

40 = X

Therefore, he can have 40 guinea pigs in the store.

Answer:

x less-than-or-equal-to 40

Step-by-step explanation:

someone please help marking brainliest

Answers

Answer: (1, 4)


Explanation: When using the method of elimination, the goal is to eliminate a variable by either adding or subtracting the 2 equations. For this question, you can choose either to eliminate X or Y. I’ll eliminate X as an example:

In order to eliminate a variable, the same variable in both equations must have the same coefficient.

(1) 3x+y=7
(2) 2x+5y=22

Multiply (1) by 2:

(3) 6x+2y=14

Multiply (2) by 3:

(4) 6x+15y=66

Now that X in both equations has the same coefficient of 6, you can subtract the two equations to officially eliminate the variable and solve for Y:

Subtract (4) from (3):

-13y=-52
y=4

Now that you have the value of Y, substitute that into either one of the equations to get X. I’ll use the first equation as an example:

3x+(4)=7
3x=3
x=1

Therefore, the point of intersection is (1, 4).


Hope this helps シ

look at pic 10 pts will mark brainilest AND WILL HELP OUT W A QUESTION shsu

Answers

Answer:

B

Step-by-step explanation:

Four accounting majors, two economics majors, and three marketing majors have interviewed for five different positions with a large company. Find the number of different ways that five of these could be hired. Instead of five positions, the company has decided that only three positions, with no restriction on the college majors, must be filled.
A. 2520 ways
B. 24 ways
C. 504 ways
D. 6 ways

Answers

Answer:

Option c

Step-by-step explanation:

From the question we are told that:

Four accounting majors [tex]N_a=4[/tex]

Two economics majors  [tex]N_e=2[/tex]

Three marketing majors  [tex]N_m=3[/tex]

Total Applicants N_T=9

Generally the equation for Different ways that five of these could be hired is mathematically given by

[tex]X_5=^9P_5[/tex]

[tex]X_5=\frac{9!}{(9-5)!}[/tex]

[tex]X_5=15120[/tex]

Generally the equation for Different ways that Three of these could be hired is mathematically given by

[tex]X_3=^9P_3[/tex]

[tex]X_3=\frac{9!}{(9-5\3)!}[/tex]

[tex]X_3=504 ways[/tex]

Option c

i will mark brainliest please help me on this question! ​​

Answers

Answer:

C

Step-by-step explanation:

You can determine this by the third and fourth quartiles.

Answer:

C

Step-by-step explanation:

1,4,4,9,10,10,14

We know the smallest number is 1 and the largest number is 14, so they are left and right whiskers

1,4,4, 9, 10,10,14

The middle number is the 4th number, which is 9 so it is the middle number of the box

Taking the numbers on the left

1,4,4

The middle number is 4  so it is the left hand side of the box

Taking the numbers on the right

10,10,14

10 is the middle number so it is the right hand side of the box

answer plz. dont put random response bc i will do the same

Answers

Answer:

m∠ABC = 53°

Step-by-step explanation:

m∠ABC + m∠CBD = m∠ABD

m∠ABC + 37° = 90°

m∠ABC = 53°

Answer:

53º

Step-by-step explanation:

abc = 90 - 37

abc = 53º

simplify 2p/3 ×5p/12​

Answers

Answer:

After simplify answer will be :[tex]\frac{5p}{18}[/tex]

Step-by-step explanation:

Given data:

[tex]\frac{2p}{3} *\frac{5p}{12}[/tex]

Now,

[tex]\frac{10p}{36}[/tex]

Final answer would be :

[tex]\frac{10p}{36}=\frac{5p}{18}[/tex]

Sami wants to find the measures of the sides and angles of the parallelogram shown.
Which tools can she use to find these measures?
Protractor,Scale,compass .ruler select all that apply

Answers

Answer:

Step-by-step explanation:

for sides you can use ruler but for angles you should use protractor

The tools Sami would used to measure the sides and angles of the parallelogram are: compass and ruler.

What is a Parallelogram?

A parallelogram is a type of quadrilateral that has two pairs of opposite sides that are parallel and congruent, and has opposite angles that are also congruent.

A compass ca be used to measure the interior angles while a ruler can be used to measure the side lengths of the parallelogram.

Therefore, the tools Sami would used to measure the sides and angles of the parallelogram are: compass and ruler.

Learn more about the parallelogram on:

https://brainly.com/question/3050890

HELP PLSSS I will give first person to answer this write Brainlyest
I suck at math this is easy

Answers

Answer:

C)

Step-by-step explanation:

When you see something like 6³) 2, to get both the exponent and the multiplier together, you must multiply 3 x 2. As this problem goes, there is -7 and 5 as our exponents. If we both multiply them by 2, we will get -14 and 10. Its one of the rules in basic algebra. Check the pic I posted below.

Hope this helps!

-kiniwih426

Find the y-intercept of the line
y + 8x = 5​

Answers

Answer:

y= 5-8x

Step-by-step explanation:

See image below:)

The delivery truck drove 5 miles from store A to store B. Then the truck drove 13 miles from store B to the warehouse. If store A is directly south of store B and directly east of the warehouse, how far is store A from the warehouse!​

Answers

Answer:

The distance from the store A to the warehouse is of 13.93 miles.

Step-by-step explanation:

The delivery truck drove 5 miles from store A to store B

5 miles south.

13 miles from store B to the warehouse.

13 miles east.

The situation can be represented by:

A

B         Warehouse

In which the distance of A to B is of 5 miles, and the distance of B to the warehouse is of 13 miles. Thus, the distance of store A to the warehouse is the hypothenuse of a right triangle, with sides 5 and 13.

Using the Pytagorean Theorem:

[tex]h^2 = 5^2 + 13^2[/tex]

[tex]h^2 = 25 + 169[/tex]

[tex]h^2 = 194[/tex]

[tex]h = \sqrt{194}[/tex]

[tex]h = 13.93[/tex]

The distance from the store A to the warehouse is of 13.93 miles.

a water main is to be constructed with a 10% grade in the north direction and a 20% grade in the east direction. determine the angle theta required in the water main for the turn from north to east

Answers

Answer:

26.6degrees

Step-by-step explanation:

Given

percent grade through north = 10% (opposite)

percent grade through east = 20% (adjacent)

Get the direction

Using the SOH CAH TOA identity

tan theta = opp/adj

tan theta = 10/20

tan theta = 0.5

theta = arctan (0.5)

theta = 26.6degrees

Hence the required angle is 26.6degrees

Michelle is a financial analyst who works 47.75 hours a week. Michelle earns $27 per hour as a financial analyst, and her
overtime pay rate is time-and-a-half. If full-time employment is considered 40 hours per week, how much does Michelle
earn each week? Round to the nearest penny.
O $1,353.78
$1,393.88
$1,423,68
o $1.453.68

Answers

9514 1404 393

Answer:

  (b)  $1,393.88

Step-by-step explanation:

For each overtime hour, Michelle is paid for 1.5 hours. That is we can figure her pay as though she worked straight time for ...

  47.75 hours + (7.75 hours)/2 = 51.625 hours

That pay is ...

  (51.625 h)($27/h) = $1393.88

school uniform cost $25 plus a one time $5 fee if you get your initials embroidered on the collar . how much did bryce pay if he ordered 4 embroidered uniforms?

Answers

4 embroidered uniforms= $5 fee for each 4 embroidered uniform and $25 for each uniform. 5 x 4 = 20. 25 x 4 = 100. 100 + 20= 125. He paid $120 for the embroidered uniform.

WDYM BY SUBSTITUTION when u get the two proportions, u say "substitute" im giving 100

Answers

Answer:

substitute means to use or add in place of something.

Step-by-step explanation:

Example: Substitute 1 for x: therefore x now is equal to 1.

You are going to a 1940 mile trip, and your car get about 28 miles per gallon. Gas prices along your route average $2.95 per gallons. Calculate the cost of the trip

Answers

Answer: [tex]\$\ 204.4[/tex]

Step-by-step explanation:

Given

The total length of the trip is [tex]l=1940\ \text{miles}[/tex]

Car average is 28 miles per gallon

So, car requires

[tex]\Rightarrow \dfrac{1940}{28}=69.285\ \text{gallon}[/tex]

Price of gas is $2.95 per gallons

[tex]\therefore \text{cost is =}69.285\times 2.95\\\Rightarrow \$\ 204.4[/tex]

So, the cost of the trip is [tex]\$\ 204.4[/tex]

help me this question

Answers

Slope= 3/2 - find another point on line. Use slope formula (y2-y1/x2-x1)
It is 3/2. Use the method rise/run. Find a point on it that crosses the grid like 0,4 and go up 3 and over to the right 2 to find another point. that means the slope is positive 3/2! hope this helps

I need help with this ,math problem 0.17/0.2975

Answers

0.17/0.2975 = 4/7 = 0.5714285714

HELP PLEASE Which expressions are equivalent to 2(3/4x+7) -3(1/2x + -5)? Check all that apply.​

Answers

Answer:

2., 3., 5.

Step-by-step explanation:

when we do the multiplications we see

2×3x/4 + 2×7 - 3×1x/2 + 3×5 = 3x/2 + 14 - 3x/2 + 15 = 29

as 3x/2 and -3x/2 reduce themselves in a sum to 0.

this gives answer option 2.

the other correct answer options are just splitting the addition part in a multiplication into their 2 "sub-multiplications" and adding these results.

the only correct ones (correctly maintaining our converting the signs) are 3 and 5.

option 4 suddenly converts the -3 factor into +3 without any other compensation. so, that is wrong.

and option 1 made again a sign mistake with -3×-5, which is correctly +15 and not -15.

what is the answer?i need it bc im stuck​

Answers

Answer:

steam iron = 41.25

t-shirts = 17.82

paintbrushes = 13.94

bags of pasta = 3.52

total = 76.53

Answer:

1. 17.82 2. 13.94 3. 3.52 4. 35.28

Step-by-step explanation:

Hope thishelps :)

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