A water tank has the shape of a horizontal cylinder with radius 1 meter and length 2 meters. If water is being pumped into the tank at a rate of 5 I cubic meters per minute, find the rate at which the water level is rising when the water is 5 C meters deep. Simplify your answer completely.

Answers

Answer 1

Step-by-step explanation:

The answer is dhdt=325πmmin.

With related rates, we need a function to relate the 2 variables, in this case it is clearly volume and height. The formula is:

V=πr2h

There is radius in the formula, but in this problem, radius is constant so it is not a variable. We can substitute the value in:

V=π(5m)2h

Since the rate in this problem is time related, we need to implicitly differentiate wrt (with respect to) time:

dVdt=(25m2)πdhdt

In the problem, we are given 3m3min which is dVdt. So we substitute this in:

dhdt=3m3min(25m2)π=325πmmin


Related Questions

Graph f(x) = -3/4x - 4.

Answers

Answer:

PLS HELP ME 7

Step-by-step explanation:

A copy machine makes 32 copies per minute how long does it take to make 152 copies?

Answers

Answer:

It should take about 4.75 min.

Step-by-step explanation:

Hope this helps and could you mark me as the brainliest

Algebra 2 11th grade

Answers

4. If x = y + 3, then in the second equation you can write

-3 (y + 3) + 3y = 6

Expanding and simplifying gives

-3y - 9 + 3y = 6

-9 = 6

but this is clearly not true, so this system as no solution.

5. Solve the first equation for x :

x + 2y = 4   ===>   x = -2y + 4

Substitute into the other equation:

2 (-2y + 4) - 3y = 1

-4y + 8 - 3y = 1

-7y = -7

y = 1

Solve for x :

x = -2•1 + 4

x = -2 + 4

x = 2

6. Solve the first equation for y :

2x - y = 6   ===>   y = 2x - 6

Substitute into the other equation:

x + 2 (2x - 6) = -2

x + 4x - 12 = -2

5x = 10

x = 2

Solve for y :

y = 2•2 - 6

y = 4 - 6

y = -2

7. Solve either equation for x :

x + 4y = 10   ===>   x = -4y + 10

Substitute into the other equation:

(-4y + 10) - 2y = -8

-6y = -18

y = 3

Solve for x :

x = -4•3 + 10

x = -12 + 10

x = -2

8. Solve the first equation for y :

-2x + y = 1   ===>   y = 2x + 1

Substitute into the other equation:

4x - 2 (2x + 1) = 5

4x - 4x - 2 = 5

-2 = 5

This is false, so there is no solution.

9. Solve the second equation for x :

-x - 4y = -3   ===>   x = -4y + 3

Substitute into the other equation:

2 (-4y + 3) + 8y = 6

-8y + 6 + 8y = 6

0 = 0

This means any value of x and y will satisfy these two equations, so there are infinitely many solutions.

How many solutions does this linear system have?

y = -6x+2

-12x - 2y = -4

one solution: (0,0)

O one solution: (1.4)

O no solution

O infinite number of solutions

Answers

Answer:

in finity

Step-by-step explanation:

Both provide ATP molecules, but only fermentation occurs when oxygen is present.

okokoo

The linear system have y = -6x+2 and -12x - 2y = -4 have infinite number of solutions.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The given system of linear equations are y = -6x+2 and -12x - 2y = -4

To solve this system, we can substitute the expression for y from the first equation into the second equation, as follows.

-12x - 2y = -4

substitute y = -6x + 2 from first equation

-12x - 2(-6x + 2) = -4

Distribute the negative sign

-12x + 12x - 4 = -4

0 = 0

The equation 0 = 0 is a true statement, which means that the system has infinitely many solutions.

Hence, the linear system have y = -6x+2 and -12x - 2y = -4 have infinite number of solutions.

To learn more on Equation:

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Triangle ABC is graphed in the coordinate plane. ​

Answers

Answer:

the answer is d

Step-by-step explanation:

just see the matching coordinates

cot 10° . cot 20°. cot 70°. cot 80°. cot 45° = 1​

Answers

Answer:

steps below

Step-by-step explanation:

cot 10° * cot 20° * cot 70° * cot 80° * cot 45°

= (cos 10°/sin 10°)*(cos 20°/sin 20°)*(cos 70°/sin 70°)*(cos 80°/sin 80°)* (1)

= (cos 10°*cos 80°)(cos 20°*cos 70°) / (sin 10°*sin 80°)(sin 20°*sin 70°)

= (1/2*(cos60°+cos90°)*1/2(cos50°+cos90°))/(1/2*(cos60°-cos90°)*1/2(cos50°-cos90°))    ... cos90° = 0     cos60° = 1/2

= (1/8*cos50°) / (1/8*cos50°)

= 1

How much is 9396 divided by 18? Use partial quotients to answer.

Answers

Answer:

9396/18 is 522

Solving Equations with the Variable on Each Side
Justify each step.
a.
b.
1. 4k-3=2k + 5
4k-3-2k= 2k +5 - 2k
2k-3 = 5
2k-3+3=5+3
2k=8
2k_8
2 2
k=4
C.
d.
e.
f.

Answers

Answer:

See below

Step-by-step explanation:

4k - 3 = 2k + 5                      Given

4k - 3 -2k = 2k + 5 - 2k         Addition (added -2k to both sides )

4k - 2k - 3 = 2k - 2k + 5        Commutative  (changed the order of the terms)

2k - 3 =  0 + 5                         Addition/ Identity

 2k - 3 = 5                               Addition

 2k - 3 + 3 = 5 + 3                 Addition (added 3 to both sides)

  2k + 0 = 8                            Addition

  2k =  8                                 Identity

i dentify the given condition anf the unknown

Answers

Answer:

Is there a picture i could go by to answer your question or is this is?

A game spinner has 8 sections, 3 red, 1 blue, 2 yellow, and 2 green. What is the probability that you will spin a yellow?

Answers

Answer:

1/4 Percent

Step-by-step explanation:

add all them up and youll get 8 the see the yellow takes up 1/4 percent of the numbers.

please help me to solve problems ​

Answers

Step-by-step explanation:

ajhai ans Pani chaiyo ki sabai ko ans pathau

Firstly, a key fact to keep in mind is Angles in a triangle equals 180⁰.

a. x+60⁰+30⁰=180⁰

x+90⁰=180⁰

x=180⁰-90⁰

x=90⁰

b. x+3x+40⁰=180⁰

collect like terms

4x+40⁰=180⁰

4x=180⁰-40⁰

4x=140⁰

Divide both sides by 4

x=35⁰

c. x+(x+7)+(x+5)=180⁰

3x+12=180⁰

3x=180⁰-12

3x=168⁰

x=168⁰÷3

x=56⁰

d. 52+x+y=180⁰

keeping in mind, two sides of this triangle are equal...

180⁰-52⁰=128⁰

128⁰÷2=64⁰

x=64⁰

x=64⁰ y=64⁰

e. b+a+90⁰=180⁰

right angled triangle

180⁰-90⁰=90⁰

90⁰÷2=45⁰

b=45⁰

b=45⁰ a=45⁰

f. Angles on a straight line equals 180⁰

180⁰-130⁰=50⁰

x=50⁰

Back to the triangle, in which two are equal,

50⁰+x+y=180⁰

180⁰-50⁰=110⁰

110⁰÷2=55⁰

y=55⁰

y=55⁰ z=55⁰

To be honest, I don't know how to solve the last two questions, hope I was helpful, if you wish, please mark BRAINLIEST.

HELP PLZ!!!!!!!!!!! WILL GIVE BRAIN!!!!!!!

Answers

Answer: 1 go to 1 the 2 go to 5 the 3 go to 3 the 4 go to 2 the 5 go to 4

Step-by-step explanation: i hop this helps if not sorry :(

FIND THE FACTORS OF THE FOLLOWING POLYNOMIAL 3y²-2y-1

Answers

Answer:

y

[tex] y2 - 2y - 3[/tex]

[tex](y - 1)(y + 3) [/tex]

[tex](3y - 1)(3y + 3)[/tex]

Step-by-step explanation:

you multiple the 3 with the 1

then factor

then divide by 3 again but the denominator goes in front of the y.

What is the slope of the following line?
A. 1/3
B. - 1/3
C. 3
D. - 3

Answers

Answer:

A

Step-by-step explanation:

Points of origin are  (-3,0) and (0,1). Now we determine if it is a positive slope, it is as it goes up not down. It goes up 1 unit and over to the right 3 units, making the slope 1/3.

Which answer choice shows that the commutative property does NOT hold for matrix multiplication?

Answers

Answer:

D.

Step-by-step explanation:

AB is NOT equal to BA in matrix multiplication.

It is not commutative.

PLEASE help!! I’ll give brainliest!!

The graph shows the number of gallons in a pool being drained and
represents a linear function.

Which statement about this function is correct?

A. The y-intercept is (0, 8500), and the 8500 represents the number
of gallons before draining the pool.

B. The y-intercept is (0, 8500), and the 8500 represents the number of
gallons drained per hour.

C. The y-intercept is (8500, 0) and represents the number of hours it
takes to drain the pool.

D. The y-intercept is (8500,0) and represents the number of gallons
drained per hour.

Answers

Answer:A. The y-intercept is (0, 8500), and the 8500 represents the number

of gallons before draining the pool.

Step-by-step explanation:

The y-intercept is (8500,0) and -540 represents the number of gallons drained per hour. Then the correct option is D.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The graph shows the number of gallons in a pool being drained and represents a linear function.

Let 'x' be the number of hours and 'y' be the volume. And the points are (4, 6340) and (6, 5260). Then the equation of the line is given as,

(y - 6340) = [(6340 - 5260) / (4 - 6)] (x - 4)

y - 6340 = - 540x + 2160

y = - 540x + 8500

The y-intercept is (8500,0) and -540 represents the number of gallons drained per hour. Then the correct option is D.

More about the linear equation link is given below.

https://brainly.com/question/11897796

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Cho tam giác ABC vuông tại A có cạnh BC=10 AC=8 tính cạnh AB

Answers

Answer:

AB = 6

Step-by-step explanation:

Áp dụng định lý Pytago, ta có:

AB^2 + AC^2 = BC^2

=> AB = [tex]\sqrt{BC^{2}-AC^2 }[/tex]

          [tex]=\sqrt{10^2 - 8^2} \\= \sqrt{100 - 64} \\= \sqrt{36} \\= 6[/tex]

Mrs. James needs to have her Jeep repaired but does not want to spend more than $375 for the repairs. The mechanic says that the part needed for the repair will cost $100 and the labor will cost an additional $40 per hour. Which inequality represents the greatest number of hours the mechanic can work without exceeding Mrs. James' budget?

Answers

Answer:

375 = 40x + 100

Step-by-step explanation:

On the grid below, which point is located in the quadrant where the x-coordinate is a negative number and the y-coordinate is a positive number? ASAP!!

Group of answer choices

A

B

C

D
Is it B?

Answers

Answer:

B

Step-by-step explanation:

B is on the upper half of the plane meaning its y-value is positive, however it is on the left side of the plane meaning its x-value is negative.

A would be (+,+)

C would be (-,-)

D would be (+,-)

A company’s stock was selling at $20 a share. A month later, it was selling at $26 a share. What is the percent gain

Answers

Answer:

The percent gain would be 77952515`0%

PLEASE HELP WILL MARK BRAINLIEST NO FAKE ANSWERS
Arrange it in descending order and give the degree of the polynomial.

Answers

Answer:

the degree is 5

they are in decending order

Step-by-step explanation:


ASAP PLS!!

-GIVING OUT BRAINLIEST

Answers

Answer:

The answer is (C)

Step-by-step explanation:

what fraction of an hour is 5 minutes in its simplest form

Answers

Answer:

1 / 12

Step-by-step explanation:

one hour = 60 minutes

so

5 / 60

= 1 / 12

Answer:

[tex]\frac{1}{12}[/tex]

Step-by-step explanation:

There are 60 minutes in 1 hour , then 5 minutes as a fraction of an hour is

[tex]\frac{5}{60}[/tex] = [tex]\frac{1}{12}[/tex] ← in simplest form

plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz

Answers

Answer:

Its A

Step-by-step explanation:

took the test a while ago

What percent represents the part of the model shaded green. A.60% B.62.5%. C.66.7% D.75%

Answers

Answer:

60%

Step-by-step explanation:

3/5 = 6/10 = 60%

Answer:

A. 60%

Step-by-step explanation:

3/5 =30/50=60/100

PLS HELP ME
PLS HELP ME

Answers

Answer:

A x=-8 or x=-2

B x=-4 or x=-3

C x=-1 or x=-12

Only answer please please

Answers

Answer: D

Step-by-step explanation:

Answer:$22.50

Step-by-step explanation:

The three friends already paid the entrance fee. The question asks how much MORE will they pay for 5 MORE rides (8-3 rides). Since tickets are $1.50 each, and we have 3 people:

($1.50/ticket)*(5 tickets/person)*(3 persons) = $22.50 more.

[Note how the units cancel, leaving just $]

guys pls help me!!!!!!

Answers

Answer:

X = 126

Step-by-step explanation:

180 - 54 = 126

54+x=180

Solve for X then find the measure of angle B

Answers

Answer:

Below in bold.

Step-by-step explanation:

The 2 angles are equal so

8x - 8 = 5x + 25

3x = 33

x = 11.

m < B = 8(11) - 8 = 80 degrees.

PLEASE HELP ASAP I WILL GIVE U A LOT OF POINTS AND BRAINLIEST :D

Answers

1.46 x 10^10 if I believe right
#1

Multiply to get the answer:

4×10⁷ * 3.65×10² = (4*3.65)×10⁷⁺² = 14.6×10⁹ = 1.46×10¹⁰ krill#2

Convert to scientific notation and find the ratio of the second number by the first:

26000000000 = 2.6×10¹⁰

Divide:

4.94×10¹³ ÷ 2.6×10¹⁰ = (4.94/2.6)×10¹³⁻¹⁰ = 1.9×10³ = 1900 times
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