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
Ratling [72]
3 years ago
10

Nana has a water purifier that filters \dfrac13 3 1 ​ start fraction, 1, divided by, 3, end fraction of the contaminants each ho

ur. She used it to purify water that had \dfrac12 2 1 ​ start fraction, 1, divided by, 2, end fraction kilogram of contaminants. Write a function that gives the remaining amount of contaminants in kilograms, C(t)C(t)C, left parenthesis, t, right parenthesis, ttt hours after Nana started purifying the water.
Mathematics
1 answer:
Fiesta28 [93]3 years ago
4 0

Given:

Nana has a water purifier that filters \dfrac{1}{3} of the contaminants each hour.

Water has contaminants = \dfrac{1}{2}

To find:

The function that gives the remaining amount of contaminants in kilograms, C(t), t hours after Nana started purifying the water.

Solution:

Let C(t) be the remaining amount of contaminants in kilograms after t hours.

Initial amount of contaminants = \dfrac{1}{2}

Decreasing rate is \dfrac{1}{3} .

Using the exponential decay model:

C(t)=C_0(1-r)^t

where, C_0 is initial amount of contaminants, r is the decreasing rate and t is time in hours.

Substituting the values, we get

C(t)=\dfrac{1}{2}(1-\dfrac{1}{3})^t

C(t)=\dfrac{1}{2}(\dfrac{2}{3})^t

Therefore, the required function is C(t)=\dfrac{1}{2}(\dfrac{2}{3})^t.

You might be interested in
Select the correct answer from the drop-down menu.<br> Fill in the missing number in the equation.
kramer

Answer:

what equation

Step-by-step explanation:

what equation

5 0
3 years ago
Place the fractions 3 7 , 1 3 , 2 5 , and 3 8 in order from least to greatest.
eimsori [14]

Answer:

1/3,  3/8,  2/5,  3/7

Step-by-step explanation:

3/7 \approx 0.42857142857

1/3 \approx 0.33333333333

2/5 = 0.4

3/8 = 0.375

4 0
3 years ago
Read 2 more answers
Simplify the expression 2(x + 7)(x2 – 3x – 6).
Oksi-84 [34.3K]

Answer:

2x^3+8x^2-54x-84

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
The standard divination of a set of data is 9.5 the mean is 205 what is the margin of error
skelet666 [1.2K]

Step-by-step explanation:

Margin of error = critical value × standard deviation

We aren't given the critical value or any information to calculate it, so we need to make some assumptions.  Assuming the data set is large enough to be approximated as normal, and that the confidence level is 95%, then the critical value is 1.96.

ME = 1.96 × 9.5

ME = 18.62

You may choose to round 1.96 to 2, in which case the margin of error is:

ME = 2 × 9.5

ME = 19

8 0
3 years ago
Pls help me in this question
solong [7]

Answer:

x=28°

Step-by-step explanation:

supplementary angles equal 180°

So:

3x+2x+x+12=180°

6x+12=180

6x=168

x=28°

Therefore:

3x:

3(28)=84°

2x:

2(28)=26°

x+12:

28+12=40°

4 0
2 years ago
Other questions:
  • A person invest 1500 dollars in a bank. The bank pays 6.25% interest compounded daily. To the neatest tenth of a year, how long
    9·1 answer
  • 4 friends went to the movies and each ordered a container of popcorn.They spent $24 on popcorn.How much did each container of po
    12·2 answers
  • (1,5) and (2,3) write a linear function in the form y=Mx+b for the line
    10·1 answer
  • Can somebody help me I’m stuck with this!!
    5·1 answer
  • Evaluate the expression 15x + 4 for x = -1 1/2
    7·1 answer
  • What is the center of a circle represented by the equation (x-5)2+(y+6)2=42?
    10·2 answers
  • Jordan's recipe calls for 3 cups of flour and two cups of water what is the ratio of flour to water if Jordan wants to Triple hi
    13·1 answer
  • If it takes 1 3/4 m of cloth to make a dress. How many dresses can be made from 10 1/2 m of cloth?
    9·1 answer
  • 3,9,15 find the 45th term
    5·2 answers
  • What is this? (2 photos please look and just answer A, B, or C)
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!