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:
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.
Related Questions
Triangle GHI is similar to triangle JKL. Find the measure of side KL. Round your
answer to the nearest tenth if necessary.
8
H
K
11
G
48
J
Answers
Answer:
The answer is 34.9
Step-by-step explanation:
48÷11= 4.3636363636
4.3636363636×8=34.9090909088
So, the answer is 34.9
Factorise the following.
Answers
Answer:
x²(9x– 11)(9x + 11)
Step-by-step explanation:
81x⁴ – 121x²
The expression can be factorised as follow:
81x⁴ – 121x²
x² is common to both term. Thus:
81x⁴ – 121x² = x²(81x² – 121)
Recall:
81 = 9²
121 = 11²
Therefore,
x²(81x² – 121) = x²(9²x² – 11²)
= x²[(9x)² – 11²]
Difference of two squares
x²(9x– 11)(9x + 11)
Therefore,
81x⁴ – 121x² = x²(9x– 11)(9x + 11)
If 2 is the arithmetic mean of 1-2x and
3x then the value of x is
Answers
Answer:
x = 3
Step-by-step explanation:
Since, 2 is the arithmetic mean of 1-2x and 3x.
Therefore,
[tex] \frac{1 - 2x + 3x}{2} = 2 \\ \\ \frac{1 + x}{2} = 2 \\ \\ 1 + x = 4 \\ \\ x = 4 - 1 \\ \\ x = 3[/tex]
5x - y = 6
x + 6y = 4
To solve the system by elimination, what integer would you multiply the FIRST equation by?
Answers
Answer:
Multiply the first equation by 6.
Anna is two years younger than Elsa, and Elsa is two years younger than Kristoff. If the sum of their current ages is 81, then what would thier ages after three years.
Answers
Answer:
26, 28, and 30
...............
Answer:
In the first movie, Elsa is 21, Anna is 18, and Kristoff is 23.
So after 3 years, Elsa would be 23, Anna would be 21, and Kristoff would be 26.
Step-by-step explanation:
I didn't fully understand the question, so I tried my best.
Forgive me if I am wrong.
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.
What are the solutions to the quadric equation x^2-16=0
Answers
Answer:
x=4, x=-4
Step-by-step explanation:
x^2-16=0
Add 16 to both sides;
x^2-16+16=0+16
Simplify;
x^2=16
x=[tex]\sqrt{16}[/tex], x[tex]-\sqrt{16}[/tex]
[tex]\sqrt{16}[/tex]
=4
factor the number;16
[tex]\sqrt{4^2}[/tex]
=[tex]\sqrt{4}[/tex]
-[tex]\sqrt{16}[/tex]
Factor the number 16;
[tex]\sqrt{4^2}[/tex]
=-4
What is the value of s in the equation below? S + 1 1/2 = 10 1/2
Answers
Answer:
S=9
Step-by-step explanation:
10[tex]\frac{1}{2}[/tex] - 1[tex]\frac{1}{2}[/tex] = 9
Answer:
s=9
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
s+3/2=21/2
Step 2: Subtract 3/2 from both sides.
s+3/2−3/2=21/2−3/2
s=9
A pie recipe calls for you to use a cup of milk, 2 cup of oil, and 2 cup of water. How much liquid do you
need to make the pie?
Answers
this is because 1 + 2 + 2 = 5
1 cup milk
+
2 cups oil
+
2 cups water
=
5 total cups of liquid
please mark brainliest if this helped :)
A square playpen has sides that are 4 feet long. What is the playpen's area?
Answers
Answer:
16
Step-by-step explanation:
Line I is parallel to line m. If the
measure of 26 is 75°, what is the
measure of Z2?
1/2
4/3
5/6 = 75°
78
Answers
Answer:
75°
Step-by-step explanation:
All parallel lines will meet their transversal (the line going through them) at the same angle. We can imagine sliding line m up to line l until the two are overlapping, and naturally all of those angles at the intersection will overlap, too. ∠6 will overlap ∠2, so the two angles are congruent. If m∠6 = 75°, then m∠2 = 75°!
Ahmad had 7/8 acres of land. He planted 3/4 of this land with corn. How many acres did he plant with corn?
Answers
Answer:
Step-by-step explanation:
Here u r
Answer:
21/32
Step-by-step explanation:
The length of a swimming poollane
is 10 more than 2 times the width.
If the area is 300 square meters,
find the width of the lane. Write a
quadratic equation which can be
used to find x, the width of the
pool.
Answers
Answer:
x²+5x - 150 = 0
Step-by-step explanation:
Let the length be y and width be x
If the length of a swimming pool is 10 more than 2 times the width, then;
y = 2x+10 ...1
Since the Area is 300m²
A = xy
300 = xy .... 2
Substitute 1 into 2
300 = x(2x+10)
300 = 2x²+10x
Rearrange
2x²+10x - 300 = 0
Divide through by 2
x²+5x - 150 = 0
This gives the required quadratic expression
What solid would be created by rotating the figure above about line m?
Cone
Triangular Pyramid
A good ol' triangle
Triangular Prism
PLEASE HELP ILL GIVE BRAINLIEST!!
Answers
Answer:
Step-by-step explanation:
Since it is ROTATED about the vertical line a cone is formed.
Custom drapes are being fitted for a large circular
window. It is difficult to get these measurements, but the
window has an 8 ft horizontal shelf with a 2 ft brace that
sits in the frame. If the brace is extended upward, it
would go through the center of the shelf and the circle.
What is the diameter of the window?
Diameter =
feet
Help please
Answers
have a good day :)
Which graph represents an increasing function?
Graph A
Graph B
5
4
Z
012
Graph c
Graph D
7
6
5
6
5
4
1
4
3
2
1
1
O Graph A
O Graph B
O Graph C
O Graph D
Answers
Answer:
Graph B is correct answer of this question
hope it helps and your day will be full of happiness
During free throw practice, Michael made 52 out of 80 free throw
attempts. What percent of the free throws did he make? *
Answers
Answer:
65%
Step-by-step explanation:
[tex]\frac{52}{80} \times 100=65[/tex]
At a park, 80 out of the 200 people there are men. The rest are women.
What percent of the people are women?
Answers
120/200=60% women
Answer: 3/5 of the park population is female, or 60 percent. How? 80:200 can be simplified to 40:100, and this in fraction form is 40/100. We can further simplify it by dividing both by 10 to get 4/10, and then by 2 to get 2/5. 5 - 2 = 3, so 3/5 is the answer.
I hope this helps!
The statement below is fallacious. Indicate which fallacy the speaker has committed:
Answers
Answer:
Regression to the mean fallacy
Step-by-step explanation:
It assumes that something has returned to normal because of corrective actions taken while it was abnormal. This fails to account for natural fluctuations. It is frequently a special kind of the post hoc fallacy.
Deandre is going bowling with some friends. He pays $5 to rent a pair of bowling shoes and $7 per game, g. If Deandre spent $26, how many games, g, did he play?
What is the equation the represents this situation and what is the amount of games that he played?
PLEASE HELP!
Answers
Answer:
3
Step-by-step explanation:
he spend 26 dollars and bought the shoes for 5 dollars
26-5=21 so therefore you have to divide the amount of money per game
26÷7=3
Pls this one more i will 20 point
Answers
Answer:
u dont have a question attached
Step-by-step explanation:
PLEASE HELP ASAP
What is the equation of the line in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answers
Answer:
y = (-1/2)x-9
Step-by-step explanation:
the slope is -1/2 and the y-intercept is -9 plug that into y=mx+b is y = (-1/2)x-9.
Pleeease help for my exam. Suppose a bag contains 8 silver coins and 2 bronze coins what is the probability of randomly choosing a silver coin not replacing it and then randomly choosing another silver coin??
Answers
Answer: 28/45
Step-by-step explanation:
help with geometry question please
Answers
Answer:
23.5
Step-by-step explanation:
30.2-6.7=23.5
23.5+6.7=30.2
AD is the perpendicular bisector of BC.
BD = 5x – 10 and DC = 3x + 10.
Determine the value of x.
Answers
5x-10= 3x+10
5x-3x= 10+10
2x÷2= 20÷2
x= 10
Step-by-step explanation:
as AD bisects them they will be two equal parts so
5x-10=3x+10
5x-3x=10+10
2x=20
divide both sides by 2 and
x=10
Elena went to a sporting goods store that
was having a sale. She bought a tennis
racket and 3 cans of tennis balls. How much
will she pay for everything, including tax?
Answers
Are there any other numbers to this question? I will be glad to help.
which answer would go with this problem (match the quadratic graph to an equation)
Answers
Answer:
Second (middle) option
Step-by-step explanation:
You can clearly tell from the graph that the y intercept is at 0,0
in [tex]ax^2+bx+c[/tex], c is always the y value of the y-intercept
in this case the value is 0 so there shouldn't be a visible "c" in the equation, which is why the answer is the middle option
pls help me find the value of x!!!!
Answers
EXPLANATION:
Write an equation when Angle A and Angle B are vertical angles
Answers
Answer:
X + Y = 180°
Step-by-step explanation:
We know that vertical opposite angles are equal
So,
Angle A = Angle B
So,
Assume;
Angle A = x
So,
Angle A + Y = 180°
So,
X + Y = 180°
Round to the nearest cent. $76,028.85614 $76,028.85614 $ (Round to the nearest cent.)
Answers
Answer:
76,028.85610 ! Your welcome :)
Step-by-step explanation: