A cylindrical tank has a height of 10 feet and a radius of 4 feet. Carla fills the tank with water at a rate of 8 cubic feet per minute. At this rate, how many minutes will it take Carla to completely fill the tank without it overflowing? Round your answer to the nearest minute.

Answers

Answer 1
Area = 10(pi)(16) = 160pi cubic feet
160pi = 502.56
502.56/8 = 63 minutes
Answer 2

The time it will take for Jane to completely fill the tank without overflowing would be 62.8 minutes.

Used the concept of the volume of the cylinder:

The volume of the cylinder can be determined using the formula,

[tex]V = \pi r^2h[/tex]

Given:

A cylindrical tank has a height of 10 feet.

The radius of the cylindrical tank is 4 feet.

Jane fills the tank with water at a rate of 8 cubic feet per minute.

Since, the volume of the cylinder:

[tex]V = \pi r^2h[/tex]

Substituting the values, we have;

[tex]V = 3.14 \times 4^2 \times 10[/tex]

[tex]V = 502.4 \tex{ feet^3 }[/tex]

Thus, the volume of the cylinder is 502.4 cubic feet.

Time taken:

The time taken can be determined using the formula,

[tex]\text{Time} = \dfrac{\text{Volume}}{\text{Rate of filling}}[/tex]

Substituting the values, we have;

[tex]\text{Time} = \dfrac{\text{502.4}}{\text{8}}[/tex]

[tex]\text{Time} = 62.8[/tex]

Thus, Jane takes 62.8 minutes to completely fill the tank without overflowing it.

To learn more about the volume visit:

brainly.com/question/24372707

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Related Questions

16. The boys' soccer to a bouchoccer ball conoccer balls for $391. If the team bought a total of 17
soccer balls, how much did each soccer ball cost?
A. $21
B. $23
C. $374
D. $408

Answers

Answer:

The answer is B $23.

Step-by-step explanation:

You take 391 and divide it by 17

391/17=23

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the answer is 799 ur welcome

Answer:

Step-by-step explanation:

the parallelogram will have equal distances from center to along each diagonal.  It is hard to explain with words and not being able to draw it.

So       2a+ 14 = 5a - 4     and     a = 2b

solve the frist equation for a  then the second equation for b

2a+ 14 = 5a - 4

      18 = 3a

        6 = a                        a = 2b       6 = 2b

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dar el perímetro de un círculo con diámetro de 8.
dar el area de un círculo dado el radio de 12

Answers

The answer to this is 20.




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Answers

Answer:

m<A = 30degrees

m<B = 70degrees

Step-by-step explanation:

Find the diagram attached

From the diagram;

m<A + 150 = 180

m<A = 180 - 150

m<A = 30degrees

Also since the sum of angles in a triangle is 180degrees, hence;

m<B+m<A + 80 = 180

m<B+30+80 = 180

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Answer:

C 95

A 85

C 95

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So for 9, to graph all you need to do is start at the origin (0,0) and go up 4 and over (right) 1.

Le cratère d’un volcan a la forme d’un cône ; le fond du cratère est comblé de sédiments, un lac constitue la partie supérieure.
1) Le cône rempli de sédiments est une
réduction du grand cône. Calculer le
coefficient de réduction. DEJA REPONDU
2) Calculer le volume du cratère. DEJA REPONDU; le volume fait 2661845 m
3) En déduire le volume des sédiments.
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I think this is Spanish but I’m not sure

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Answers

The slope is 1/6 hope this helps here is the work

Solve the quadratic equation
3x²-5x-7=0

Answers

Answer:

Step-by-step explanation:

The coefficients of this quadratic equation are {3, -5, -7}.  The discriminant (part of the quadratic formula) is b^2 - 4ac, which here is 25 - 4(3)(-7), or 109.

This positive discriminant indicates that there are two real, unequal roots.  

They are:

      5 ± √109

x = ------------------

              6

A line that includes the point (2,7) has a slope of

8. What is its equation in point-slope form?
Use the specified point in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions.

Answers

Answer:

y - 7 = -8(x-2)

Step-by-step explanation:

The point slope form is: y-y1=m(x-x1)

From the information that was given, we know our two points: (2,7)

From here, we can fill in some of the missing information: y-y1=m(x-x1) → y - 7 = m(x-2)

Now I can't tell if you wrote down -8 or just 8, but just in case my answer isn't the right number.

The answer would either be: y - 7 = -8(x-2)    [if you wrote down -8 as the slope]

OR

The answer would be: y - 7 = 8(x-2)    [if you wrote down 8 as the slope]

the differences of 4 and a number x is 14

Answers

Answer:

x=18

Step-by-step explanation:

x-4=14

  +4  +4

x=18

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Find the are of the polygon 16m 10m 20m 8m

Answers

Answer:

Step-by-step explanation:

Simplify.

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Answers

Answer:

17 is the answer

Step-by-step explanation:

Since 17 × 17 is 289, the square root of 289 is 17.

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A ball is dropped from a height of 180 meters. The height of the ball can be represented by
-5t2 + 180, in meters, when t represents the time in seconds since the ball was dropped.
Which expression represents the height of the ball In factored form?

A) -5(t+6)^2
B) -5(t-6)^2
C) -5(t+6)(t-6)
D) (5t-3)(80t+3)

Answers

I think it is C but it also could be B as well

A cube is dilated by a scale factor of 0.75 to create a new cube. The surface area of the new cube is…

Answers

Answer:

9/16 of original cube area

Step-by-step explanation:

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Answers

Answer:

Didn't finish sorry. I wish I could help.

Solve the system of equations by substitution.

x+y= 0
2x+3y= 3

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Answers

the answer is A.
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now add those up
-6+9=3

Answer:

the answer is Option A) ( -3, 3)

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

( -3, 3)

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Answers

Creating a government based on religious

Taylor went shopping for a new camera. Sales tax where she lives is 4.5%. The price of the camera is $28. Find the total price including tax. Round to the nearest cent.

Answers

Answer:

I think the answer would be 29.30 . good luck ^^

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Answers

Answer:

Hi! The answer to your question is 100

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

Can someone please help me solve this I don’t have a right calculator to do it!

Answers

Answer:

Step-by-step explanation:

You can solve it using the calculator that came with windows -- as far back as windows 7. It probably goes back even further, but that's all I can guarantee. Your phone might be able to do it as well.

y = 25000 * 0.007^5

y = 25000 * 1.6807 *10^-11

y = 0.00000042 is what my calculator gives.

Windows can probably do better.

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Answers

Answer:

Quadratic

Step-by-step explanation:

Example of linear is 2x + 3

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Example of cubic is x³ + 2x² + 3x + 4

Example of quartic is x⁴ + 2x³ + 3x² + 4x + 5

What is the slope of the line passing through points (2, 1) and (5, 7)?

Answers

Answer:

(3, 6)

Step-by-step explanation:

(x1, y1) and (x2, y2)

x2 - x1, y2 - y1

(x*, x*)

(2, 1) and (5, 7)

5 - 2, 7 - 1

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Will mark Brianliest please answer :)

Answers

Answer:

3.5×10^4=35000

Step-by-step explanation:

Consider the value

3.5

we are saying that we are counting in units (1's) in that we have

3

1

2

of 1's

'.....................................................................................

Consider the value

3.5

×

10

. Now we are saying we have

3

1

2

of tens. That is; 3 lots of 10 is 30 and

1

2

of 10 is 5 so we have

30

+

5

=

35

'.................................................................................

Note that

10

2

is 100

Consider the value

3.5

×

10

2

. Now we are saying we have

3

1

2

of

100

'

s

So if we are counting in 100's then the decimal point stays where

it is and we move the number of 3.5 to the left until the

3 becomes hundreds.

Note that we have to insert a place holder of 0 just to the left of the decimal point to make sure the three is viewed as in the hundreds.

3.5

×

10

2

−−−−−−−−−−−−−−−−−−→

slide to the left 2 places

350.0

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C. (-1,3)
D. (-3,-1)

Answers

Answer:

(0,5)

x,y

Step-by-step explanation:

A loan of $4,000 was repaid at the end of 10 months with a check for $4,270. What annual rate
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Answers

The rate of interest charged seems to be 8.10%

Root5 /2 root5 -1
can be written in the form
a+rootb /c
where a, b and c are integers.
Find the values of a, b and c when the resulting fraction
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Answers

Answer:

10, 5, 19

Step-by-step explanation:

Recall that

[tex] {a}^{2} - {b}^{2} = (a + b)(a - b)[/tex]

So we can multiply the fraction by

[tex] \frac{2 \sqrt{5} + 1 }{2 \sqrt{5} + 1 } [/tex]

And get

[tex] \frac{ \sqrt{5} }{2 \sqrt{5} - 1} \times \frac{2 \sqrt{5} + 1 }{2 \sqrt{5} + 1 } = \frac{10 + \sqrt{5} }{20 - 1} = \frac{10 + \sqrt{5} }{19} [/tex]

Can someone do my math homework for me? i will give you the information you need. My head hurts constantly and i get too distracted easily. i am one almost 2 weeks behind on all my classes work. Math is the hardest and so thats why im asking. please it would be very helpful.

Answers

Answer:

I'll do your Home work Just post the questions

Answer:

I will help you too if I know the answer

Step-by-step explanation:

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Answers

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1.2x = 276
x = 230

Work out each of the following:
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2) −16 + −15=
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I recommend you download photo math sorry I didn’t get to this quicker

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Answer: think A

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