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

Martin is playing a probability game with his friend. He places 9 blue marbles, 8 red marbles, and 3 white marbles in a
bag. What is the probability that Martin picks out a red marble, places it in his pocket, and picks out a second red
marble? Enter your answer as a fraction in the box provided.

Answers

8/8 6/8 so your going to take 2 from 8/8 so that would be 6/8

the fifth term of an arithmetic sequence is 23 and the 12th is 72. determine the next three terms and general formula​

Answers

Answer:

first three terms are -5 , 2, and 9

Step-by-step explanation:

term(n) = a + (n-1)d

term5 = a+ 4d = 23

term12 = a + 11d = 72

subtract them

7d = 49

d = 7

sub into a+4d = 23

a + 28 = 23

a = -5

Area of equilateral triangle with a perimeter of 96?

Answers

answer: 443.41

hope this helped :)

A right cylinder has a radius of 3 and a height of 12. What is its surface area? O A. 72 units O B. 90 units O c. 45rt units O D. 108r units​

Answers

Answer:

[tex]A=72\pi\ units^2[/tex]

Step-by-step explanation:

Given that,

The radius of the cylinder, r = 3

Height of the cylinder, h = 12

We need to find the surface area of the cylinder. The formula for the surface area of a cylindrical object is given by :

[tex]A=2\pi rh\\\\=2\times \pi\times 3\times 12\\\\=72\pi\ units^2[/tex]

So, the surface area of the cylinder is equal to [tex]72\pi\ units^2[/tex].

I need help with this if you get it right I will mark you

Answers

9514 1404 393

Answer:

  D  9/DF = 18/16

Step-by-step explanation:

Corresponding sides are proportional. The proportions based on a given similarity statement can be written 4 ways.

For these isosceles triangles, the similarity statement could be written either of two ways:

  ΔDEF ~ ΔABC  or  ΔDEF ~ ΔCBA

Corresponding sides will depend on the similarity statement you use. Using the first one, they are ...

  DF and AC (short sides)

  DE and AB (long sides)

  EF and BC (long sides)

For each (short side, long side) pair, we can write the proportion 4 ways:

DF/DE = AC/AB  ⇒  DF/9 = 16/18DF/AC = DE/AB  ⇒  DF/16 = 9/18DE/DF = AB/AC  ⇒  9/DF = 18/16 . . . . . matches choice DAC/DF = AB/DE  ⇒  16/DF = 18/9

Using the other pair of long sides, or using the other similarity statement, the numerical proportions are the same as the ones listed above.

A researcher is investigating the relationship between the length, in centimeters, and weight, in grams, of pineapples. The researcher will select a random sample of 15 pineapples from grocery stores in a region and construct a 95% confidence interval for the slope of the population regression line, where length is the explanatory variable and weight is the response variable. When computing a confidence interval for the slope of the population regression line, which of the following is not a condition that must be checked?
A. The true relationship between length and weight is linear.
B. The standard deviation for weight does not vary with length.
C. The values of weight are approximately normally distributed at each value of length.
D. The sum of the residuals is zero.
E. The observations are independent.

Answers

Answer:

D. The sum of the residuals is zero.

Step-by-step explanation:

The relation between length and weight of pineapples is observed. The observation should be independent and the values must be normally distributed in order to find the confidence interval for slope of population regression line.

Can someone please help. This is stressful

Answers

Answer:

132

Step-by-step explanation:

[tex]V=\pi r^{2} \frac{h}{3}[/tex]

Can u give me the steps to this problem? What should I do first? Please please

Answers

First, look at pemdas
Parentheses
Exponents
Multiplication
Division
Add
Subtract
Do it in order

i have no clue how to do this

Answers

Answer:

being e tnn 6t FCC CBC ni irdghyy42s nhi it a njugkinsa high by nigh

The Graph of a function g is shown below. Find the following: g(10)

Answers

Answer: the graph is not shown, but I'll try to explain how hypothetically, you would be able to graph g(10). If you are given something like an image of the graph, find slope and y-intercept first. The y-intercept is the point (0, #), and is on the y-axis. After finding what g(x) = mx + b <- slope intercept form is, substitute 10 for x, then solve.

Step-by-step explanation:

HIiiiiiiiiiiiiiiiiiiiiiiiii

Answers

Answer:

hi the answer is 7.3

Step-by-step explanation:

hope it helps you have a good day

Can someone help finds the area of this figure

Answers

9514 1404 393

Answer:

  49 cm^2

Step-by-step explanation:

The shape is a 3 × 3 square on top of a 4 × 10 rectangle. The area of each rectangle is found by multiplying the dimensions.

  Total Area = (3 cm)(3 cm) +(4 cm)(10 cm) = 9 cm^2 +40 cm^2

  Total area = 49 cm^2

6 1/8 liters of Lemonade and I use 1/4 for each cup how many cups can I fill?

Answers

Answer:

4

Step-by-step explanation:

Lol :b

Helpppp please

The athletics director at Peter's school has created a phone tree that is used to notify team players in the event a
game has to be canceled or rescheduled. The phone tree is initiated when the director calls two captains. During
the second stage of the phone tree, the captains each call two players. During the third stage of the phone tree,
these players each call two other players. The phone tree continues until all players have been notified. If there are
50 players on the teams, how many stages will it take to notify all of the players?

Answers

Answer:

Pppppppppppppppppppppppppp

Which of the following rules describes the function graphed below?
Output = Input
Output = 2 • Input − 1
Output = Input + 2
Output = 3 • Input − 2

Answers

Answer:

Output= 3 • Input - 2

Step-by-step explanation:

x     |      y

3 • x - 2

--------------

1      |     1

2     |     4

3     |     7

4     |    10

Answer: last option - output=3 · input - 2

Step-by-step explanation:

Since the enactment of a smoking ban in a particular​ city, the number of smokers has slowly declined. Statistics show that the number of smokers in this city has decreased for four consecutive months by​ 3%, 2%,​ 5%, and​ 2%. What was the overall percentage decrease in the number of smokers during this four month​ period? Round your answer to the nearest tenth of a percentage point.

Answers

Answer:

11.5%

Step-by-step explanation:

Let the number of smokers before ban = 100

Decrease in 1st month = 3% , of 100 = 3

Smokers after 1st month = 100 - 3 = 97

Decrease in 2nd month = 2%, of 97 = 1.94

Smokers after 2nd month = 97 - 1.94 =  95.06

Decrease in 3rd month = 5%, of 95.06 = 4.75

Smokers after 3rd month = 95.06 - 4.75 = 90.31

Decrease in 4th month = 2%, of 90.31 = 1.80

Smokers after 4th month = 90.31 - 1.80 = 88.51

Decrease in smokers after 4th month = (Decrease / old value) x 100

[ (100 - 88.51) / 100 ] x 100 = (11.49 / 100) x 100

= 11.5%

⚠️⚠️⚠️⚠️ Help Mhanifa! XXXXTRA Points! Please I really need help on my math. No links please! Quality answer please! Answer all parts to the question. Thanks in advance. ⚠️⚠️⚠️⚠️

Answers

Answer:

36 units

Step-by-step explanation:

Top base:

a = 6 units

Left leg:

b = 8 units

Bottom base:

d = 12 units

Right leg:

c² = √6²+8² = √100c = 10 units

Perimeter:

P = 6 + 8 + 10 + 12 = 36 units

there are 4 roses for every 7 carnations in a bouqeuet. Mr rodriguez buys a bouqeuet with 12 roses in it. How many total flowers are in the bouqeuet Mr rodriguez bought?

Please explain

Answers

Answer:

Step-by-step explanation:

there is a 4 to 7 ratio in the first situation.

so if there is (4*3) the it would be (7*3) so it would be 21 carnations

this gives 12+21 for a total of 33 flowers.

the ratio is 4/7 so you could also go (4/7)(12) and then add that to the original 12 in the boqouet in order to get the same answer. Hope this helps!

m
Which is equivalent to *_?
V2
OA.
xV2
2
2x
OB.
V2
Oc.
2x
12
OD.
D. **v2
2
O E V2x​

Answers

1233444567801082737373727272

Find the surface of the triangular prism
17m 17m 15m 16m 10m

Answers

Please dont press that file.

PLS HELPP
Find the surface area.

Answers

Answer:

To find the area of the rectangle, just multiply the two edges together. Area (bottom edge) = length times width = lw.

Step-by-step explanation:

l=12in

w=5in

h=3in

Area(all)=lw+lw+wh+wh+lh+lh

Area(all)=12×5+12×5+5×3+5×3+12×3+12×3

Area(all)=222 square inches

Please help

If m1 = 46°, what is m2?
A.
134°
B.
44°
C.
88°
D.
54°

Answers

Answer:

B. 44°

Step-by-step explanation:

That's it.

90° + 46° + 44° = 180°

Answer:

m2 = 44°.

Step-by-step explanation:

The sum of the measures of the angles of a triangle always equals 180°.

One of the angles is a right angle, so its measure is 90°.

Let n equal m2.

90+46+n=180

n=44

Therefore, m2 = 44°.

1. Suppose the positive numbers a և b are such that a + b = 7.
A. b-1:
B. 1:
Գ. 0:
D. -1:
E. a

Answers

Գ is the answer for the question

Please, I need help Try to explain if you can

Answers

Answer:

it the last choice

Step-by-step explanation:

you simply put the the x value and solove

WILL NAME BRAINLIST PLEASE

Use the table to write a linear function that relates y to x . PLEASE NO HACKERS

y=

Answers

Answer: -2

Step-by-step explanation:

When x is 0, y is -2.

Also, warning, the people who go into the comments saying to download something from bitly, do not do it. They are viruses and will not get the answer, please only report their answer and ignore them.

Answer:

Step-by-step explanation:

y= -1/4x

What is the slope for the line that goes through the points?
(The answer should be a fraction (rise/run)

Answers

Answer: 2/1x

Step-by-step explanation:

you follow the graph from the y intercept to the next point

up 2 over 1

Answer:

2/1 or 2

Step-by-step explanation:

from point (0,2) to (1,4) it goes up 2 and to the left 1 so the rise is 2 and the run is 1

I need help with this plsss

Answers

Answer:

8 boxes

Step-by-step explanation:

Surface area of the rectangular prism:

A=2(wl+hl+hw)

A = 2(5·4+7·4+7·5) = 166

The 166 represents the square ft of one box.

Take the total number of wallpaper she has, 1328 ft^2, and divide by 166 to find the number of boxes that she can cover.

[tex]\frac{1328}{166} = 8[/tex]

Hope that helps!

Answer:

Step-by-step explanation:

Firstly lets calculate the total surface area of the cuboid

Total surface area of cuboid (A1)

= 2( l*b+ b*h +l*h)

= 2( 7 * 5+ 5 * 4 + 7 * 4)

= 166 ft²

also given that

Total area of the wallpaper ( A2)= 1328 ft²

Now

Number of boxes that she can cover is

= A2 / A1

= 1328 / 166

= 8 BOXES.

hope it will help :)

Please help 5 points

Answers

Answer:

below

Step-by-step explanation:

Table One-

0 -0

1- .5

2- 1

3 - 1.5

Table Two-  

0 - 0

1 - .25

2 - .50

3 - .75

Which is equivalent to
?
V2
Ο ΑΜΣ
2
OB. 120
2
2x
O
C.
al
OD
x+V2
2
OE V2​

Answers

Just what the bleep is happening here! 74847

DetermIne the inverse function of f(x) = 1/3 + 6
Please show work

Answers

Answer:

f(x)⁻¹ = 3x - 18

Step-by-step explanation:

I'm going to assume that 1/3 is the coefficient of the x.

f(x) = 1/3x + 6

y = 1/3x + 6

x = 1/3y + 6

x - 6 = 1/3y

3x - 18 = y

f(x)⁻¹ = 3x - 18

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