A village wishes to measure the quantity of water that is piped to a factory during a typical morning. A gauge on the water line gives the flow rate (in cubic meters per hour) at any instant. The flow rate is about 100 m3/hr at 6 am and increases steadily to about 280 m3/hr at 9 am. Using only this information, give your best estimate of the total volume of water used by the factory between 6 am and 9 am.

Answers

Answer 1

Answer:

570 m³

Step-by-step explanation:

The volume of water is the product of flow rate of water and the time taken. We are to get the volume of water used between 6 am and 9 am, that is for 3 hours (9 - 6).

We are given the flow rate at 6 am and the flow rate at 9 am, but this flow rate changes between 6 am and 9 am. To get the estimate of the water used, Let us assume that it flows at the same flow rate as it was at 6 am throughout, hence:

[tex]V_L= 100 m^3/h * 3h=300\ m^3[/tex]

Also, let us assume that it flows at the same flow rate as it was at 9 am throughout, hence:

[tex]V_R= 280 m^3/h * 3h=840\ m^3[/tex]

To get the best estimate of the total volume, let us find the average of the two values, hence:

[tex]Volume=\frac{V_L+V_R}{2} =\frac{300+840}{2}=570\ m^3[/tex]


Related Questions

Where is the blue dot on the number line? 0 0 - 5 - 5 5 5 ? ?

Answers

the blue dot is on -15 as each interval is 5

The blue dot is at -15 because the line is counting by fives rather than by ones, twos, threes, etc. So, when you count from the left from 0, it goes by -5, -10, -15 which is where the blue dot is. Hope this helps :)

Consider the figure shown. What is the measure of exterior angle

Answers

Answer:

What grade are you in? I am not sure about this question...

Step-by-step explanation:

A line is parallel to the line y=-2/3x+1 and it passes through the point (4,-1). Determine the slope of the line.
A) m=2/3
B)m=-3/2
C)m=-2/3
D)m= 3/2

Answers

Answer:

C) m=-2/3

Step-by-step explanation:

Parallel slope means it'll be the same.

m = -2/3

Why does my app keep saying I’m not a member even tho it ends on 10/15/21

Answers

Answer:

Oof I have no idea 0_0

Step-by-step explanation:

I dont have brainly plus but I still have unlimited access...

I'm so sorry!!!

Have a nice day <3

The Diagram below shows rectangle PLUM find the area of PLUM if entering answer as a decimal, round your final answer to the nearest hundredth. Please Help!

Answers

Answer:

75 Units

Step-by-step explanation:

i got this on khan :)

What is the magnitude of -10 + 24i?

this is for a unit over complex numbers on a p e x​

Answers

Answer:

The magnitude of the number is of 26.

Step-by-step explanation:

Magnitude of a complex number:

A complex number has the following format: a + bi

In which a is the real coefficient and b is the imaginary coefficient.

The magnitude of the number is:

[tex]\sqrt{a^2+b^2}[/tex]

What is the magnitude of -10 + 24i?

For this number, a = -10, b = 24. So

[tex]\sqrt{a^2+b^2} = \sqrt{(-10)^2+24^2} = \sqrt{676} = 26[/tex]

The magnitude of the number is of 26.

What is the factored form of x^2-x-20​

Answers

Answer:

(x+4)(x-5)

Step-by-step explanation:

x²-x-20

But ax² + bx +c

product = ac = 1 × -20 = -20

sum = b = -1

Factors are: -5,4( numbers if you multiply you get -20 and sum to get -1)

Therefore:

x²-5x+4x-20

x(x-5)+4(x-5)

(x+4)(x-5)

Step-by-step explanation:

x^2-5x+4x-20

x(x-5)+4(x-5)

(x-5)(x+4)

the sum of 4 and 6 times a number z

Answers

Answer:

(4 + 6) × Z = 10 × Z

Step-by-step explanation:

The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept. If you know two points that a line passes through, this page will show you how to find the equation of the line.

What is the length of the third side of a right triangle if it is known that the two of the sides have lengths 9 and 12. How many solutions does this problem have

Answers

Answer:

34 the answer

Step-by-step explanation:

Identify the correct statement for the given figure.
Question 14 options:

A)

(5x)° + (2x + 7)° = 90°

B)

90° + (2x + 7)° = (5x)°

C)

(5x)° + (2x + 7)° = 180°

D)

(5x)° = (2x + 7)°

Answers

Answer:

A. 5x° + (2x + 7)° = 90°

Step-by-step explanation:

Complementary angles add up to give us 90°.

From the given diagram, we have a part of the angles on a straight line as a right angle. Which means it is 90°. Therefore, the other two angles, 5x° and (2x + 7)° will add up to give us 90°. Thus, 5x° and (2x + 7)° are complementary angles.

Therefore:

5x° + (2x + 7)° = 90°

18. At my son's birthday party, we had a piñata that we filled with 140 pieces of candy. If there were 42 Hershey
chocolate bars, what percent of the candy was Hershey chocolate bars?
19. On a recent test, there were 15 multiple-choice questions and 25 fill-in-the-blank problems. What percent of
the problems were fill-in-the-blank problems? (Hint: How many problems were on the entire test.)

Answers

Answer:

18.  30%

19.  62.5%

Step-by-step explanation:

42/140  mult by 100       30%

25 + 15 = 40

25/40   mult by  100 62.5%

18. 30%
19. 62.5

Because it is

What is the distance between the points (4,9) and (1,3)?

Answers

the distance between 4 and 1 is 3 and the distance between 9 and 3 is 6.
your teacher might make you right these as negatives because they are being subtracted, not sure though

The distance between 4 and 1 is 3 and the distance between 9 and 3 is 6.

We have given the points (4,9) and (1,3).

What is the distance between two points?

Distance between two points is the length of the line segment that connects the two given points.

Distance between two points in coordinate geometry can be calculated by finding the length of the line segment joining the given coordinates.

your teacher might make you right these as negatives because they are being subtracted, not sure though.

Therefore, The distance between 4 and 1 is 3 and the distance between 9 and 3 is 6.

To learn more about the distance visit:

https://brainly.com/question/1982296

#SPJ2

!NO LINKS, NO FILES!

please :)

Answers

Answer: 10.5 km

A = bh

A = 3.5 x 3

A = 10.5

Answer:

I think ur answer would be 10.5 km

Step-by-step explanation:

srry if wrong hope this helps

What is the area, in square centimeters, of the shaded part of the rectangle shown below

Answers

Answer:

Step-by-step explanation:

i think you forgot to link or import the question

(PLEASE HELP) A teacher surveyed a sample of students from Lake Middle School. He asked the students where they'd like to go for a field trip. He recorded these results:

• 80 chose the aquarium.

• 60 chose the science center.

• 30 chose the planetarium.

• 40 chose the farm.

The teacher wants to figure out the relative frequency of a student choosing the aquarium. He'll then estimate how many students out of all 1000 at the school are likely to choose the aquarium.

(he surveyed 210 students and about 38% of them chose the aquarium)

Write and solve a proportion that the teacher can use to estimate how many students in the whole school would choose the aquarium.

Answers

Answer:

relative frequency of choosing aquarium is 80/210

about 400 students out of 2000 will choose aquarium

Step-by-step explanation:

relative frequency of choosing aquarium is 80/210

proportion:

a = students who choose aquarium

80/210 = a/1000

210a = 80000

a = 80000/210 which is close to 80000/200 which equals 800/2 or about 400 students

MAX POINTS PLEASE HELp
part a. What are the values of x and y? If your answer is not a whole number, write it as a decimal and round to one decimal place if necessary.
part b:
Here is a triangular prism.


What is the volume of the prism, in cubic centimeters?

cubic centimeters

What is the surface area of the prism, in square centimeters?
cubic centimeters

Answers

Answer:

X=35 Y=73

Step-by-step explanation:

use the opposite angle theorem for x. X would equal 35.

we know that x is 35. So 2y+35=180

180-35=2y

y=72.5 or 73

srry I can’t help with question 2. I don’t know how

Find the erea of the trapezoid.

Answers

9514 1404 393

Answer:

  32 yd²

Step-by-step explanation:

Use the area formula with the given dimensions.

  A = 1/2(b1 +b2)h . . . . . base lengths b1, b2; height h

  A = 1/2(2 +6)8 = 1/2(8)(8) = 32 . . . . square yards

The area of the trapezoid is 32 square yards.

There are six essay questions on a history test, lettered a, b, c, d, e, and f. If you can choose any two the six questions to answer, how many different selections can you make?

Answers

Answer:

I can make there different selection

Answer:

Hmm, probably 2 selections?

Step-by-step explanation:

If there are six essay questions on the history test then it would maybe be 2 because, You have to choose the two best answer chose that fits the question.

Please help me on this question

Answers

Answer:

[tex]176.74 cm^{2}[/tex]

Step-by-step explanation:

[tex]radius=7.5 cm[/tex]

[tex]area=\pi (radius)^{2}[/tex]

[tex]3.142*(7.5)^{2}cm^{2}[/tex]

[tex]176.7375cm[/tex]

[tex]=176.74cm^{2}[/tex]

[tex]----------[/tex]

hope it helps...

have a great day!!

176.74 hope that was correct

please help me! it’s urgent

Answers

Answer: 85

Step-by-step explanation:

360degree for quad

thus

95+85+95 = 275

360-275 = 85

Answer:

S=85°

Step-by-step explanation:

95+85+95= 275

(a square is equaled to 360 degrees so you do this)

360°-275°= 85°

(Take away what the shape/angle is equal to from your findings in your first step) .

Please help me ASAP
Please help
No links please

Answers

Answer:

a is height

b is length

c is width

Step-by-step explanation:

what is the slope of the line?
khan academy

Answers

Answer:

4/5 is the slope

Answer:

(-5,-4) or (-4, -5)

Step-by-step explanation:

I Need help with this

Answers

The answer is B. I hope this helps with your work. For next time just match the frequency with how tall the line is.

Answer:

it would be choice B

Step-by-step explanation:

the frequencies in the chart are 4,5,9,8, and 4 so you look at which graph's bars go up to those numbers

In the Eqaulity -8 ≤ -5. Which number appears farther left on a number line and why?
A -8 appears farther left because -8 is smaller -5
B -5 appears farther left because -5 is larger than -8
C -8 appears farther left because -8 is larger than -5
D -5 appears farther left because -5 is smaller than -8

Answers

The answer is going to be number a

7 1/2 x 3/4 = 45/8 =

Answers

Answer:

90/6 is the answer

Step-by-step explanation:

Answer:

15/71

Step-by-step explanation:

(

71

2

x)(3)

4

=

45

8

(

71

2

x)(3)*(8)=(45)*(4)

852x=180

Step 2: Divide both sides by 852.

852x

852

=

180

852

Which graph represents the following piecewise defined function?

Answers

Answer: is B

Step-by-step explanation:

on edge 2020

The graph that represents the following piecewise defined function is graph D (Image attached).

What is piecewise defined function?

A piecewise function is known to be a type of function that is known to be formed or created from scratch (pieces) of different functions over different intervals.

An example, a person can make a piecewise function f(x) where f(x) = -9 when -8 < x ≤ -4, f(x) = 5 when -4 < x ≤ -1, and f(x) = -6 when -1 <x ≤ 9. Looking at the graph attached, you can see that it tells us more about  piecewise defined function.

Learn more about  piecewise defined function from

https://brainly.com/question/24313105

Diego predicts that his basketball teams has a 2/3 probability of winning each of their next 9 games.

PART A
Which is the most likely outcome for Diego's first game?


A
His team will win.
B
His team will lose.
C
His team will tie.
D
PART B
Why?

Answers

Answer:

g

Step-by-step explanation:

Sadie volunteers on the weekend at the Central Library. As a school project, she decides to record how many people visit the library, and where they go. On Saturday, 316 people went to The Youth Wing, 497 people went to Social Issues, and 460 went to Fiction and Literature. On Sunday, the library had 1400 total visitors. Based on what Sadie had recorded on Saturday, about how many people should be expected to go to The Youth Wing? Round your answer to the nearest whole number..​

Answers

Answer:

347

Step-by-step explanation:

Total visitors on Saturday:

316 + 497 + 460 = 1273

Proportion of people who went to The Youth Wing on Saturday:

316/1273 = 0.248

Expected number of people to visit The Youth Wing on Sunday:

1400*0.248 = 347 (rounded)

A quiz consists of five multiple choice questions. Each question has four choices. A student who forgot to study guesses randomly on every question What is the probability that the student answers exactly three questions correctly?​

Answers

Answer:

1/64

Step-by-step explanation:

probability of getting one question correct is 1/4

P(3 questions correct):  1/4 · 1/4 · 1/4

An expression is given.

16

14
÷
2
+
(
3
+
2
)
2

What is the value of the expression?

Answers

Answer:

19

Step-by-step explanation

Answer:

19

Step-by-step explanation:

16-14÷2+(3+2)2

16-14÷2+5×2

16-7+5×2

16-7+10

16+10-7

26-7

19

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