1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
jonny [76]
3 years ago
11

1. Contaminated water is subjected to a cleaning process. The concentration of the

Mathematics
1 answer:
Leokris [45]3 years ago
6 0

Answer:

The concentration of pollutants in the water can be defined as the quotient between the mass of pollutants and the total mass of water.

Assuming that 1L of water weighs 1000 grams, we know that:

Mass of pollutants = 5mg = 0.005g.

Initial concentration = 0.005g/1000g = 0.000005

If we multiply this by 100%, we get the percentage:

0.000005*100% = 0.0005%

Now, the mass of pollutants decreases by 10% each hour.

So if initially, we have 5mg

After one hour, we will have: 5mg - 0.1*5mg = 5mg*(0.9).

After another hour, we will have: 5mg*(0.9) - 0.1*5mg*0.9 = 5mg*(0.9)^2.

And so on, then after n hours, the mass of pollutants will be:

M(n) = 5mg*(0.9)^n

Or we can write this in grams as:

M(n) = 0.005g*(0.9)^n

Then the concentration as a function of time in hours will be:

C(n) = M(n)/1000g = (0.005g/1000g)*(0.9)^n

Notice that the thing between the parentheses is the initial concentration, then if we write this in percentage form:

c(n) = 100%*(0.005g/1000g)*(0.9)^n = 0.0005%*(0.9)

The function that represents the concentration of polution in the water as a function of hours is:

c(n) = 0.0005%*(0.9)

You might be interested in
Eli is moving to a new city. He packs his belongings in cube-shaped boxes that each have a volume of one cubic foot. He places t
klemol [59]

Answer:

jnnm mnn m

Step-by-step explanation:

4 0
2 years ago
Given: PRST square
yuradex [85]
There is no difficulty in this problem until you construct the figures. How can we do it is shown in the attached picture. After drawing PRST, from the point P, we can draw PMKD and later we can complete PMCT as a result. From this picture, we can see that the side of PMCT is also a. Then, the area of this square is A=a^{2}

6 0
2 years ago
DF bisects EDG Find FG. The diagram is not to scale.<br><br>A.15<br>B.14<br>C.19<br>D. 28​
Ahat [919]

Answer:

○ b. 14

Step-by-step explanation:

Since <em>DF</em><em> </em>is a segment bisector, set both expressions equal to each other:

3n - 4 = n + 8

-3n - 3n

__________

−4 = −2n + 8

-8 - 8

_________

−12 = −2n

__ ___

−2 −2

6 = n [Plug this back into both expressions above to get the value of 14]; 14 = FG; 14 = EF

I am joyous to assist you anytime.

6 0
3 years ago
b. Two events are dependent if the occurrence of one event changes to occurrence of the second event. True or False
Naddika [18.5K]

Answer:

true

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
The measures of two angles of a triangle are given below. Find the measure of the third angle of the triangle in decimal form.
Sedbober [7]

Answer:

22.8°+65.3=88.1

180-88.1=91.9

5 0
2 years ago
Other questions:
  • Refer to the equation 2x − 3y = 18.
    15·1 answer
  • A company that sells phones generates revenue given by the function
    7·1 answer
  • Please show work with every step
    11·1 answer
  • What type of numbers is 7.874 rational integer whole natural irrational
    14·1 answer
  • Kall is single and earns $45,800 per year. what is her annual federal withholding?
    5·1 answer
  • Wwwwwwwwwwwwqqqqqqqqqqqqqqqqqqqq
    10·2 answers
  • HELP HELP HELP Sally can paint a room in 4 hours. Joe can paint a room in 6 hours. How
    5·2 answers
  • Point J (-8, -12) is reflected over the x-axis. Where is J?​
    14·1 answer
  • Is 0.225 a rational number?
    10·2 answers
  • Rachel bought a sheet of fifty 34-cent stamps from the post office. she paid for the stamps with a $20 bill. how much money shou
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!