In a sewage treatment plant, a large concrete tank initially contains 440,000 liters of liquid and 10,000 kg of fine suspended solids. To flush this material out of the tank, water is pumped into the vessel at a rate of 40,000 l/h. Liquid containing solids leaves at the same rate. Estimate the concentration of suspended solids in the tank at the end of 4 h. You can assume that the initial concentration of solids in the tank

Answers

Answer 1

Answer:

[tex]Concentration = 8.26kg/m^3[/tex]

Step-by-step explanation:

Given

  [tex]V = 440000L[/tex] --- volume of tank

[tex]m = 10,000 kg[/tex] --- solid mass

[tex]r = 40000L/hr[/tex] --- outflow rate  

Required

Determine the concentration at the end of 4 hours

First, calculate the amount of liquid that has been replaced at the end of the 4 hours.

[tex]Amount = r * Time[/tex]

[tex]Amount = 40000L/hr * 4hr[/tex]

[tex]Amount = 40000L * 4[/tex]

[tex]Amount = 160000L[/tex]

This implies that, over the 4 hours; The tank has 160000 liters of liquid out of 440000 liters were replaced

Calculate the ratio of the liquid replaced.

[tex]Ratio = \frac{Amount}{Volume}[/tex]

[tex]Ratio = \frac{160000L}{440000L}[/tex]

[tex]Ratio = \frac{16}{44}[/tex]

[tex]Ratio = \frac{4}{11}[/tex]

Next, calculate the amount of solid left.

[tex]Amount (Solid)= Ratio * m[/tex]

[tex]Amount (Solid)= \frac{4}{11} * 10000kg[/tex]

[tex]Amount (Solid)= \frac{40000}{11}kg[/tex]

[tex]Amount (Solid)= 3636kg[/tex]

Lastly, the concentration is calculated as:

[tex]Concentration = \frac{Amount (Solid)}{Volume}[/tex]

[tex]Concentration = \frac{3636kg}{440000L}[/tex]

Convert L to cubic meters

[tex]Concentration = \frac{3636kg}{440000* 0.001m^3}[/tex]

[tex]Concentration = \frac{3636kg}{440m^3}[/tex]

[tex]Concentration = 8.26kg/m^3[/tex]


Related Questions

I NEED HELP PLEASE NO LINKS OR U WILL GET REPORTED. I WILL GIVE BRAINLY THING, make sure you are correct ​

Answers

Answer:

D

Step-by-step explanation:

French colonies were north of the US. Portugal only owned Brazil, and Germany had no colonies.

Question 8 of 10 What is the median of this data set? 14, 18, 31, 34, 44, 50 A. 32.5 B. 33 C. 31.5 O O D. 31 SUBM​

Answers

Answer:

32.5

Step-by-step explanation:

median is the middle number, in this case the sum of the two middle number divided by 2

31 + 34 = 65/2

32.5

Answer:

33

Step-by-step explanation:

A color printer prints 8 pages in 5 minutes.
How many minutes does it take per page?

Answers

Answer:

It takes 5/8 minutes or 0.625 minutes to print per page.

Step-by-step explanation:

The find the singular unit value of how long it would take per page you simply divide the amount that you are trying to figure out by the total amount of time you are taking and in this case it would be 5 divided by 8 in order to solve for the amount of minutes it takes per page.

1.Write the expression in expanded form. The subscript number can be write in
normal form. E.g. X1 + X1Y1, do not forget the correct parenthesis and the correct
order. *



2.For the equation in above evaluate the notation using the values below. Please
enter the exact value.
X1 =0
Y1 = 5
Z1 = 0
X2 = 1
Y2 = 26
Z2 = -2
X3 = 12
Y3 = -2
Z3 = 3
X4 = -1
Y4 = 25
Z4 = 24​

Answers

Answer:

(a) Expanded form:

[tex]((X_1 + X_1Y_1) - X_1Z_1) + ((X_2 + X_2Y_2) - X_2Z_2) + ((X_3 + X_3Y_3) - X_3Z_3) + ((X_4 + X_4Y_4) - X_4Z_4)[/tex]

(b) The value of the expression: -21

Step-by-step explanation:

Given

[tex]\sum \limit^4_{i=1}\ ((X_i+X_iY_i) - X_iZ_i)[/tex]

Solving (a): The expanded form:

This means that we substitute the values of i from 1 to 4 in the above expression.

So, the expression becomes:

[tex]((X_1 + X_1Y_1) - X_1Z_1) + ((X_2 + X_2Y_2) - X_2Z_2) + ((X_3 + X_3Y_3) - X_3Z_3) + ((X_4 + X_4Y_4) - X_4Z_4)[/tex]

Solving (b): The value of the expression

To do this, we simply substitute the given values of X1, X2....... in the expression.

This gives:

So, the expression becomes:

[tex]((0 + 0*5) - 0*0) + ((1 + 1*26) - 1*-2) + ((12 + 12*-2) - 12*3) + ((-1 + -1*25) - -1*24)[/tex]

Simplify each bracket

[tex]((0 + 0) - 0) + ((1 + 26) +2) + ((12 -24) - 36) + ((-1 -25) +24)[/tex]

[tex]0 + 29 -48 -2[/tex]

[tex]-21[/tex]

Hence, the result of the expression is -21

1
Type the correct answer in the box.
5 units
2 units
2 units
3 units
2 units
The area of the figure is
square units
Reset
Next

Answers

You didn't add enough information to solve this problem. Comment on this when you do.

Answer:

Is there any more information to this so I can try and help

A TV has a listed price of $751.98 before tax. If the sales tax rate is 8.75%, find the total cost of the TV with sales tax included.
Round your answer to the nearest cent, as necessary.

Answers

Answer:

$817.78

Step-by-step explanation:

To find the tax you must do the equation:

751.98 x 0.0875

(Btw, 0.0875 is decimal form of 8.75%. Always turn the percentage into a decimal before finding the tax or sale amount)

751.98 x 0.0875 = 65.80.

Now, add the sale tax amount and the original price:

751.98 + 65.80 = 817.78

Therefore, the answer is 817.78.

Find the circumference of the circle P. Find the length of arc AB.

Answers

Answer:

A) 56.549

B) 9.425

Step-by-step explanation:

2(pi)r=56.54867

60/360x56.54867=9.425

the product of 215 and 2​

Answers

Answer:

430

Step-by-step explanation:

The "product" means multiply

215*2=430 or you can break it up:

215+215=430

Answer: 430

→Hope this helps!←

Many businesses and organizations insist that official communications use professional-looking fonts, such as Times New Roman. Fonts characterized as less professional, such as Comic Sans, should be avoided. A student would like to determine if font choice makes a difference in the average grade on a typed response in English classes. There are currently four English classes available from which the student can collect data, and each class has a similar writing assignment. That the start of the assignment, students are randomly assigned a font, either times new Roman or comic sans, and then complete the assignment the teachers grade the assignment and the mean grade for each font is found.


What is the response variable in this experiment?

A the font used by each h student
B, the teachers grading the responses
C the grade received on each assignment
D the length of the student response on the assignment

Answers

Answer:

C.

Step-by-step explanation:

The response variable can be defined as those variables that are considered to be the focus of a question in research or experiment. It is also known as a dependent variable and is marked on the y-axis. The response variable is explained with the help of an explanatory variable, marked on the x-axis. The other names for response variables are y-variables or outcome variables.

In the given case, the response variable is the grade received on each assignment. The grades received by students on each assignment are the main focus of this research.

Therefore, option C is correct.

Round 569.903507815 to the nearest whole number?

Answers

Answer:

if you round it to a whole number... it should be 570

Step-by-step explanation:

just round the tenth place

Solve the following inequality
4 + 6x ≤ x + 6x
Select one:
A. x ≤ 4
B. x ≥ 4
C. x > 4
D. x < 4

Answers

Answer:

x ≥ 4

Step-by-step explanation:

The given inequality is :

4 + 6x ≤ x + 6x

Subtract 6x from both sides,

4 + 6x-6x ≤ x + 6x -6x

4≤ x

or

x ≥ 4

Hence, the correct option is (b) i.e. x ≥ 4.

*10 POINTS *
find the value of x

x = ___??

Answers

The value is 22 because I took the test

Answer:

[tex]x=-2[/tex]

Step-by-step explanation:

You can create a proportion with the sides and solve for x:

[tex]\frac{SR}{QR} =\frac{TR}{UR}[/tex]

[tex]\frac{20}{24}=\frac{15}{-4x+10}[/tex]

[tex]\frac{5}{6}=\frac{15}{-4x+10}[/tex]

[tex]-20x+50=90[/tex]

[tex]-20x=40[/tex]

[tex]x=-2[/tex]

63°
13°
Choose the equation that best describes the image.

Answers

Answer:

13+63 if I'm not wrong......

Use the graph. How does the diagram show that the slope between any two points on a line is the same? A. It does not show this because the triangles are not the same size. B. The triangles have the same vertical heights and horizontal lengths. C. The distance between A and B is the same as the distance between B and C. D. The triangles are similar so the ratios of their vertical heights to their horizontal lengths are equivalent.

Answers

Answer:

the answer is D The triangles are similar so the ratios of their vertical heights to their horizontal lengths are equivalent.

Step-by-step explanation:

The triangles are similar so the ratios of their vertical heights to their horizontal lengths are equivalent. Therefore, option D is the correct answer.

What is slope of a line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

We know that, slope = Rise/Run.

Here, slope of a line AB = 3/6

= 1/2

Now, slope of a line BC = 2/4

= 1/2

Therefore, option D is the correct answer.

To learn more about the slope of a line visit:

https://brainly.com/question/14511992.

#SPJ3

someone please help me answer this!!

Answers

Answer:

-5 63/100

Step-by-step explanation:

expand the square of a binomial (y^7-11)^2​

Answers

Answer:

[tex]y^{14} -22y^7+121[/tex]

Step-by-step explanation:

This equation should help:

[tex](a+b)^2=a^2+2ab+b^2[/tex]

[tex](y^{7}-11)^2\\\\=y^{14} +2*y^7*-11+11^2\\\\=y^{14} -22y^7+121[/tex]

Answer:

[tex] {y}^{14} - 22 {y}^{7} + 121[/tex]

Step-by-step explanation:

[tex](y {}^{7 } - 11)( {y}^{7} - 11)[/tex]

First terms,

[tex]{y}^{14} [/tex]

Outer,

[tex] {y}^{7} \times - 11 = - 11 {y}^{7} [/tex]

Inner,

[tex] {y}^{7} \times - 11 = - 11 {y}^{7} [/tex]

Last,

[tex] - 11 \times - 11 = 121[/tex]

Add all terms up

[tex] {y}^{14} - 22 {y}^{7} + 121[/tex]

Order the numbers from least to greatest.
= –1.5
- (-2)
2.5
8/3

HELPP

Answers

Answer:

-1.5, -(-2), 2.5, 8/3

Step-by-step explanation:

pretty sure this is right

-1.5, -(-2), 2.5, 8/3

The equal sides of an isosceles triangle are 2 cm shorter than the length of the third side. If the perimeter of the triangle is 35 cm, find the length of the third side.​

with the formula plsssss

Answers

Given Information :

• Equal sides of an isosceles triangle = 2cm shorter than the length of the third side.

To calculate :

• Length of the third side.

Calculation :

Let the third side be c.

Also, two equal sides be a and b.

According to the question,

[tex] \longmapsto [/tex] a = ( Third side - 2 ) cm

[tex] \longmapsto [/tex] a = ( c - 2 ) cm

Similarly, length of b(second side) will also be same as a and b are two equal sides of an isosceles triangle.

[tex] \longmapsto [/tex] b = ( c - 2 ) cm

Now, we know that :

Perimeter of = Sum of all sides

Perimeter = 35 cm.

[tex] \longmapsto [/tex] 35 = a + b + c

[tex] \longmapsto [/tex] 35 = (c - 2) + (c - 2) + c

[tex] \longmapsto [/tex] 35 = c - 2 + c - 2 + c

[tex] \longmapsto [/tex] 35 = c + c + c - 2 - 2

[tex] \longmapsto [/tex] 35 = 3c - 4

[tex] \longmapsto [/tex] 35 + 4 = 3c

[tex] \longmapsto [/tex] 39 = 3c

[tex] \longmapsto [/tex] [tex] \sf \dfrac{39}{3} [/tex] = c

[tex] \longmapsto [/tex] 13 = c

So, third side of the triangle is 13 cm.

P+p+p/2+p/4+1=100
Polinomios

Answers

Answer:

=

3

6

Step-by-step explanation:

+

+

2

+

4

+

1

=

1

0

0

{\color{#c92786}{p}}+{\color{#c92786}{p}}+\frac{p}{2}+\frac{p}{4}+1=100

p+p+2p​+4p​+1=100

2

+

2

+

4

+

1

=

1

0

0.         2

+

2

+

4

+

1

=

1

0

0

2p+\frac{p}{2}+\frac{p}{4}+1=100

2p+2p​+4p​+1=100

2

+

2

+

4

+

1

1

=

1

0

0

1.              Subtract the numbers

Subtract the numbers

2

+

2

+

4

=

9

=

3

6

.        

Shawn bought 3 items at the grocery store that cost $3.35, $6.85, and $2.90. After paying the cashier, Shawn received $2.15 in change.

How much did Shawn give the cashier to pay for his purchase?

Answers

Answer:  Shawn payed the cashier $15.25

Step-by-step explanation:

Type your answer into the box.
240 people are going to a charity event.
3/5 of the guests have ordered chicken for their meals.
Of the remaining guests, 12.5% have ordered gluten-free meals
How many people haven't ordered their meals yet?

Answers

Answer:

84 people

Step-by-step explanation:

HELPPPPP! Tamlin collects action figures and has 2 more female action figures than male action figures. He chooses two action figures randomly. Write and simplify an expression that represents the probability that Tamlin will pick two female action figures without replacing the first action figure. Let x be the number of male action figures.

Answers

Answer:

x+2/2(2x+1)

Step-by-step explanation:

Tamlin has x male action figures and x + 2 female action figures, so a total of x + x + 2, or 2x + 2 action figures. The probability of picking two female action figures without replacement is equal to the product of the probability of

-picking 1 female action figure from the total number and

-picking 1 female action figure after 1 has been removed.

The probability of picking 1 female action figure from the total is equal to the total number of female action figures divided by the total number of action figures.

The probability of picking 1 female action figure after 1 has been removed is equal to the total number of female action figures minus 1 divided by the total number of action figures minus 1.

Multiply these two expressions and simplify.

Answer:

The answer is x+2/2(2x+1)

A certain brand of all-purpose plant food is sprinkled evenly over the soil surface at a rate of 4.8 ounces per 10
square feet. What is the unit rate of ounces per square feet?
A)0.48
B)21
C)48
D) 2.08

Answers

Answer:

48(c)

Step-by-step explanation:

4.8=48 as move 10 will change 4.8 as 48

After basketball practice, 8 players equally shared 3 large bottles of water. What fraction of a bottle did each player get?

Answers

It would be 3/8 since you divide the 3 bottles to 8 players

Help plz if your good at finding the area of the compound figure plz help if you don’t know the answer your not needed but if you do plz help

Answers

Answer:

96cm^2

Step-by-step explanation:

We can divide it into two rectangles: 7x8 and 10x(12-8), arriving at the solution of 7cm*8cm + 10cm*4cm = 56cm^2 + 40cm^2 = 96cm^2

We can also divide it into two rectangles: 12x7 + (12-8)x(10-7), arriving at 12cm*7cm + 4cm*3cm = 84cm^2 + 12cm^2 = 96cm^2

We could also divide it to one big rectangle and one "negative" rectangle of 10x12 and -8x(10-7), arriving at 10cm*12cm - 8cm*3cm = 120cm^2 - 24cm^2 = 96cm^2

Alex's pig weighs under 220 pounds.
Let p = the weight of the pig

Answers

Answer:

p > 220

Explanation:

This inequality says, "p (the weight of the pig) is less than 220." This describes the situation shown. So, the answer is p > 220.

Good luck ^^

A number between 0 and 1, expressed as one number over another, is called a

Answers

Answer:

its called a frcaction

Step-by-step explanation:

Fraction po

#carryonlearning

HELP I BEG
Solve the linear equation and explain why it’s either one solution, infinite solution or no solution

2(4+2.5x)+7 = -3(x-5)

Answers

Answer:

infinite solution , b/c when i graphed it , it showed a line that went on & on

Step-by-step explanation:

2(4+2.5x)+7 = -3(x-5)

8+5x+7=-3x+15

15+5x=-3x+15

2x=0

Plzz help will mark brainleast

Answers

The last one, it will be easier for more readers that way. Plus the message should get to as many people.

Lauren bought 20 oz of sliced ham. She used 3/4 of the ham to make sandwiches for her friends. She used 1/5 of the ham in an omelet. How many ounces of ham were left?

Answers

Answer:

19 oz

Step-by-step explanation:

Lauren bought 20 ounces of sliced ham, out of which she used three-fourth of the ham to make sandwiches for her friends and one fifth of the ham in an omelette. We are to find the ounces of ham that were left. So, total ounces of ham that were used = 15 + 4 = 19 ounces.

Hope this helped!

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