An oil tank has to be drained for maintenance. The tank is shaped like a cylinder that is 4 ft long with a diameter of 2.2 ft. Suppose oil is drained at a
rate of 1.5 per minute. If the tank starts completely full, how many minutes will it take to empty the tank?
Use the value 3.14 for, and round your answer to the nearest minute. Do not round any intermediate computations.

Answers

Answer 1

Answer:

[tex]8\:\mathrm{minutes}[/tex]

Step-by-step explanation:

The volume of a cylinder is given as:

[tex]r^2\cdot\pi\cdot h[/tex]

Since the diameter is [tex]2.2[/tex], the radius is [tex]\frac{2.2}{2}=1.1[/tex].

Therefore, the volume of this cylinder is:

[tex]1.1^2\cdot 3.14\cdot 4=15.1976\:\mathrm{ft^3}[/tex], using [tex]\pi=3.14[/tex] as requested in the problem.

Since the tank is emptied at a constant rate of [tex]1.5\:\mathrm{ft^3\:per\:minute}[/tex], it will take

[tex]\frac{15.1976}{1.5}=7.5988=\fbox{$8\:\mathrm{minutes}$}[/tex] to empty the tank.


Related Questions

What is half of 9 minutes and 28 seconds

Answers

4 minutes and 44 seconds. Half of 9 minutes is 4 minutes and 30 seconds half of 28 seconds is 14 seconds. If you add 4 minutes and 30 seconds and 14 seconds you get 4 minutes and 44 seconds.

One minute contains 60 seconds. The half of 9 minutes and 28 seconds in time is 4 minutes and 44 seconds.

How are minutes and seconds related?

A minute can be expressed in terms of seconds by the relation:

[tex]1 \: \rm min. = 60 \: \rm sec.[/tex]

9 minutes = [tex]9 \times 60 = 540 \: \rm sec.[/tex]

Thus, 9 mintues and 28 seconds = 540 + 28 = 568 seconds.

Its half would be:

[tex]\dfrac{568}{2} = 284 \: \rm sec.[/tex]

Dividing it by 60 to convert it back to minute and second form, we get:

Quotient = 4, remainder = 44

The remainder is still not divided by 60, so its in minutes.

But the quotient is the divided part of 284 by 60, so its in minutes.


Thus, 284 seconds = 4 mintues + 44 seconds.


Thus, the half of 9 minutes and 28 seconds in time is 4 minutes and 44 seconds.

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The graphs of x=2(y-4) and x=5(y-4) are shown below.
How does the graph of x=2(y-4) compare with the graph of x=5(y-4)


A. The graph of x=2(y-4) crosses the y-axis lower than the graph of x=5(y-4)

B. The graph of x=2(y-4) has greater slope than the graph of x=5(y-4)

C. The graph of x=5(y-4) has greater slope than the graph of x=2(y-4)

D. The graph of x=2(y-4) crosses the y-axis higher than the graph of x=5(y-4)

Answers

Answer:

B is the correct answer

Step-by-step explanation:

because x=2y-8 is same as y=1/2 x+4 x=5y-20 is the same as y=1/5 x+4 slope of the first is 1/2 slope of the second is 1/5 so 1/2>1/5

there y intercept are the same which is 4

The graph of x=2(y-4) has greater slope than the graph of x=5(y-4), the correct option is B.

What is the standard equation of a line?

The standard equation of a line is given by

y = mx+c

Here m is the slope and c is the y intercept

The slope can be determined by

m = (y₂ -y₁)/(x₂ -x₁)

The equation of the line is

x=2(y-4)

x=5(y-4)

y =  (1/2)x +4  

y = (1/5)x +4

The slope is (1/2) and (1/5),

(1/2) > (1/5)

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If the ratio between boys and girls is 3 to 2 if there are 12 boys how many girls are there

Answers

Answer:

the ratio is 12:8 boys to girls

Step-by-step explanation:

if the amount of boys is 12 then multiply the 3 by 4 and using distribution multiply the 2 by 4 as well to get 8 girls

Monty bought a small swimming pool, as shown below, for his Labrador
puppy. He fills the pool halfway to the top. If one cubic foot of water is
approximately 7.5 gallons of water, about how many gallons of water will
be in the pool?
6 ft
2 ft

Answers

Answer:

It would be 45 gallons for 6ft

15 gallons for 2 feet

Step-by-step explanation:

BRAINLIEST
please help and leave a small explanation:)

Answers

Answer:

Choose option D. Angle 3 and Angle 6

Step-by-step explanation:

Angle 3 = Angle 6 ( being alternate angels)

Hope it will help :)

Answer:

congruent means that they are the same angle so that being said, you can clearly tell that A, B, and C are not the same angles at all. and D is the only correct answer.

Step-by-step explanation:

I really hope this helps!

please help, thanks :)​

Answers

I think its A OR C I just think

Answer:

D :)

Step-by-step explanation:

Find the value of each variable. I’ll mark you as a brainliest

Answers

Answer:

See below

Step-by-step explanation:

Q11

Triangle is 45° and therefore isosceles

x = 10y = 10√2

Q12

y = 2*7 = 14 as the side opposite to 30° angle is half of the hypotenusex = √14²-7² = 7√3

Q13

x = 32/2 = 16, same reason as abovey = 16√3

Q14

x = y = 6/√2 = 6√2/2 = 3√2

Q15

x = 11√3/√3 = 11y = 2x = 2*11 = 22

Q16

z = 24√2/√2 = 24x = 24√3y = x/2 = 24√3/2 = 12√3

Find the sum of 2x2 – 8x — 6 and 9x2 – 8.
Answer:
Submit Answer

Answers

Answer:f

( x ) = x ,  g ( x ) = x 3 − 1 f ( x ) = x 4 + x 3 − 11 x 2 − 5 x + 30 ,  g ( x ) = 2 x − 2 f ( x ) = x 2 ,  g ( x ) = 7 x − 1

in short ways the answer is  7 x − 1

Hence , the sum is [tex]11x^2-8x-14[/tex].

WHAT IS A POLYNOMIAL

In mathematics, a polynomial is an expression consisting of indeterminates (also called variables) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

How to Solve?

Given , we need to add [tex]2x^2-8x-6[/tex] and [tex]9x^2-8[/tex].

So, we can write it as :

[tex]2x^2 -8x-6+9x^2-8[/tex]

Writing like terms together:

[tex]= 2x^2+9x^2-8x-6-8[/tex]

[tex]=11x^2-8x-14[/tex]

Hence , the answer is [tex]11x^2-8x-14[/tex].

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Which row of the table reveals the y-intercept of function ? X f(x) 2 -1 0 2 1 0 2 ch -6 3 -24​

Answers

Answer:

2, -1

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

The row of the table of the y-intercept of the function is f ( 2 ) = -6

What is a function rule?

The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Given data ,

Let the function be represented as A

Now , the value of A is

f ( -1 ) = 2^2/3

f ( 0 ) = 2

f ( 1 ) = 0

f ( 2 ) = -6

f ( 3 ) = -24

Hence , the function is f ( 2 ) = -6

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Brainly please help I been asking

Answers

Answer:

114

Step-by-step explanation:

break apart the shape into 2 smaller shapes and you'll get 15 and 4 for the 1st shape multiply them and you'll get 60. Then for the second shape you'll get 6 and 9 multiply them and you'll get 54. Last add them together and you get 114. (Sorry if I get it wrong)

Reflection over the x axis ;vertical shift down 7 units

Answers

I need a picture to find the answer

The cost to rent a moving truck is a flat fee of $25 plus $0.60 per mile. The equation c = 25 + 0.6m models the cost, c, in dollars for the number of miles, m, traveled in the truck.

Identify the independent and dependent variables.

HEEEEELP ME ILL DOOOO ANYTHING PLEEEEASE

Answers

Answer:

The miles travelled is the independent variable.

The cost is the dependent variable.

Step-by-step explanation:

hope this helps ;)

What the slope of this please help :)

Answers

Answer:

-0.1

Step-by-step explanation:

Answer:

The answer to the question provided is:

[tex] - \frac{1}{10} [/tex]

An Olympic diver is competing for a metal. His height in meters above the water can be modeled by the function
f (x)= -4.9x^2+9.8x+14.7f(x)=−4.9x +9.8x+14.7
where is is the time in seconds after he begins the dive.

After how many seconds does he reach the water?


What domain makes sense for this scenario?

Answers

Answer:

-4.9x²+75x=-4.9x+50x+38

75x=50x+38

25x=38

x=1.52

1.52 -4.9(1.52)²+75(1.52)=102.67904≈102.7 meters

Double check: -4.9(1.52)²+50(1.52)+38=102.67904≈102.7. Yes.

102.7 meter.

Step-by-step explanation:

Why did a gacha yt ad pop up when my teacher put up a yt vid

Answers

Answer:

she watching u

Step-by-step explanation:

Can you please give more details it’s would help a lot

What is the answer to 9 - x - 5x = -9

Answers

Answer:

x=3

Step-by-step explanation:

Answer:

so 9 - x - 5x = 9 because the 9 means x so its making the number negative. so - 9 and the 9 at the end = 9 don't worry about that bc you can subtract 5x

Step-by-step explanation: so what I'm saying is theirs many ways to solve that its just you don't know the level or something similar to that I'm only helping because I'm bored btw.

Start with 2. Add 6 to each term to get the following term. What is the 6th term of the sequence?

Answers

Answer:

32

Step-by-step explanation:

We can either add all the terms.

2+6=8

2,8

8+6=14

2,8,14

14+6=20

2,8,14,20

20+6=6

2,8,14,20,26

26+6=32

2,8,14,20,26,32

The Sixth term is 32

or We can multiply 6 times 5 (30) and add 2, which would give us 32.

The reasoning behind this is that we are adding six five times (so six times five) and we are also adding the first term (2).

A subway train arrives at the station every 9 minutes. You have a doctor’s appointment near the station,
so you take the subway and arrive at 10:06. You are finished with your appointment at 11:44.
When will the next subway train arrive at the station?
The next train will arrive at

Answers

Answer:

THE swords men and archer men will take over

Step-by-step explanation:

The train will arrive at 11:45

Roxie is picking out some movies to rent, and she is primarily interested in horror films and foreign films. She has narrowed down her selections to 20 horror films and 8 foreign films. How many different combinations of 3 movies can she rent if she wants at least two horror films?

Answers

Answer:

She has 2,660 combinations

Step-by-step explanation:

Here, we want to calculate the number of different combinations of 3 movies that can be rented

The condition is at least two horror movies

What this means is that she can select 2 or 3 horror movies

if two horror movies, then 1 foreign film

The combination is as follows;

20 C 2 * 8 C 1

= 190 * 8 = 1,520

If she is selecting 3 horror movies, then no foreign film will be selected

Number of ways this can be done is;

20 C 3 = 1,140

So the

number of different combinations would be;

1,140 + 1,520 = 2.660

HHHHHHEEEEEELLLLLPPPPPP!!!!!!!!!

Answers

Step-by-step explanation:

Area of Glass surface

= Area of Parallelogram - Area of Rectangle

= (20in * 16in) - (4in * 16in)

= 256in².

Hence it is 256 square inches.

P.S. Question photo got changed, ignore this.

Answer: The area of the figure is 32 square

plz mark brainly

Factor completely. 9 x 2 + 6 x + 1

Answers

Answer:24

Step-by-step explanation:

PLEASE HELP 8 ml of a 80% acid solution was mixed with 12 ml of a 20% acid solution. What is the percentage of acid in the new solution?

Answers

Answer:

44%

Step-by-step explanation:

So you have 2 bottles. One bottle is 8ml and is 80% acid. the other is 12 ml and is 20% acid.

This means there's 6.4 ml of acid in bottle 1(8*0.8) and 2.4 ml of acid in the other one(12*0.2).

The total amount of liquid is 8+12 = 20

The total amount of acid is 6.4+2.4 = 8.8

Percentage of acid in the new solution is 8.8/20 = 0.44 = 44%

Which table represents the statement "Di runs at a rate of 4 meters per second " ?​

Answers

Answer:

d=4t

Step-by-step explanation:

If A1
= 9 and An = An-1 + 4 then find the value of A5
BRAINLIEST TO ANYONE

Answers

Answer:

25

Step-by-step explanation:

a1 = 9

a2 = a1 + 4

a2 = 9 + 4

a2 = 13

a3 = a2 + 4

a3 = 13 + 4

a3 = 17

a4 = 21

a5 = 21 + 4

a5 = 25

This can more easily be done by using this formula

L = a1 + (n - 1) * d

a1 = 9

n = 5

d = 4

L = 9 + (5 -1)*4

L = 9 + 4*4

L = 9 + 16

L = 25

The area of Neil's sqaure bedroom is 256 feet2. what is the length of any sidewall in his bedroom

Answers

Answer: 64 ft for each wall in his bedroom..

Step-by-step explanation: 256 divide 4 = 64.

What is the answer to this Question?


8 – 6 (x – 4) = 2x – 2 (4x – 5) + 22

Answers

Answer:

Here

Step-by-step explanation:

Let's solve your equation step-by-step.

8−6(x−4)=2x−2(4x−5)+22

Step 1: Simplify both sides of the equation.

8−6(x−4)=2x−2(4x−5)+22

8+(−6)(x)+(−6)(−4)=2x+(−2)(4x)+(−2)(−5)+22(Distribute)

8+−6x+24=2x+−8x+10+22

(−6x)+(8+24)=(2x+−8x)+(10+22)(Combine Like Terms)

−6x+32=−6x+32

−6x+32=−6x+32

Step 2: Add 6x to both sides.

−6x+32+6x=−6x+32+6x

32=32

Step 3: Subtract 32 from both sides.

32−32=32−32

0=0

I need help with this

Answers

Answer:

yes because 96/6 equals 16, and 6x16=96

Step-by-step explanation:

KA-BOOM!!! meh

Answer:

Yes it is

because 96/6 = 16

And if you flip it you'll get the same thing

Step-by-step explanation:

Someone pls help! X*2(4x+3^2%)/23/21^2

Answers

Answer:

x+2^23(45*21)

Step-by-step explanation:

Pls help extra points and mark brainlist easy reading

Answers

Answer: the second one

Step-by-step explanation:

Help plz:)))I’ll mark u Brainliest

Answers

Answer:

if the other person answers give it to them :)

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