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
tatyana61 [14]
3 years ago
10

After the consumption of an alcoholic beverage, the concentration of alcohol in the bloodstream (blood alcohol concentration, or

BAC) surges as the alcohol is absorbed, followed by a gradual decline as the alcohol is metabolized. The function C(t) = 1.35te−2.802t † models the average BAC, measured in mg/mL, of a group of eight male subjects t hours after rapid consumption of 15 mL of ethanol (corresponding to one alcoholic drink). What is the maximum average BAC during the first 6 hours? (Round your answer to three decimal places.)

Mathematics
1 answer:
bezimeni [28]3 years ago
8 0

Answer:

  about 0.177 mg/mL

Step-by-step explanation:

The maximum is found where the derivative of C(t) is zero.

  dC/dt = 1.35e^(-2.802t) -(1.35t)2.802e^(-2.802t) = 0

Solving for t gives ...

  t = 1/2.802

So, the maximum C(t) is ...

  C(1/2.802) = 1.35/2.802e^(-1) ≈ 0.177 . . . . . mg/mL

The maximum average BAC during the first 6 hours is about 0.177 mg/mL.

_____

The maximum occurs about 21 minutes 25 seconds after consumption.

You might be interested in
Pls help asap!! Hhuwdqnjwl
vampirchik [111]

Answer:

14

Step-by-step explanation:

To get the answer, add the whole numbers together and then add the fractions together:

9 + 4 = 13

(You can even stop here because 14 is the closest to 13)

Now, add the fractions:

\frac{2}{3}+\frac{1}{5}

To add fractions you have to have a common denominator. To find the common denominator multiply 3 by 5, and 5 by 3. Like this:

(\frac{5}{5})\frac{2}{3}  + \frac{1}{5} (\frac{3}{3} )

Simplify:

\frac{10}{15} +\frac{3}{15}              Distribute everything from above

\frac{13}{15}                      Add

So, the whole fraction will look like this 13\frac{13}{15}. This is closest to 14.

Hope this helps!! Ask questions if you need!

7 0
2 years ago
Read 2 more answers
Please help!!!! FINALS NEXT WEEKKKKKK I’ll mark!!
stich3 [128]

Step-by-step explanation:

1. it does not go through the origin (0)

2. 15.

it is constant

3. 40 and 70

it means the money earned and the hours match.

6 0
3 years ago
Please need help on this please
STatiana [176]

Answer:

C

Step-by-step explanation:

Given

x² - 10x + 24 = 0

Consider the factors of the constant term (+ 24) which sum to give the coefficient of the x- term (- 10)

The factors are - 4 and - 6, since

- 4 × - 6 = + 24 and - 4 - 10 = - 10, hence

(x - 4)(x - 6) = 0 ← in factored form → C

4 0
3 years ago
Read 2 more answers
the strauss insurance company laid off 20% of its employees one year and then increased its staff by 12 1/2% the following year.
jekas [21]
<span>The Strauss Insurance company's net change in staff over the two-year period was a loss of twelve employees. 24 of the original 120 were laid off the first year, leaving 96, and 12 were hired the following year,</span>
7 0
4 years ago
I need a legit answer with just a little explanation please it would mean alot to me
SSSSS [86.1K]

Answer: C.

Step-by-step explanation: Plug in x in the formula. Solve for each y by plugging in each x in the formula and seeing if it works. This took me like 3 min to solve

5 0
3 years ago
Other questions:
  • How do you do integers
    5·1 answer
  • 32.8 written in cm is?
    7·1 answer
  • PLEASE HELP ASAP! LOTS OF POINTS
    9·2 answers
  • When ordering a sundae, you may choose three toppings from their list of 10 available. Assuming that your chosen toppings must b
    7·1 answer
  • My filter cleans 125 gallons every hour. How many times does my 20 gallon tank get cleaned every hour
    11·1 answer
  • What is 514 divided by 28 in partial qotient
    14·1 answer
  • What is the variance of the following set of data? 5 ,55 , 505, 255, 5, 75 , 85, 65
    10·2 answers
  • Vonda has 6 pencils. lipe has 12 times as many pencils as vonda. let n equal the number of pencils lupe has?
    8·1 answer
  • I need 1-3, 6,8, and 10
    10·1 answer
  • Which type of quadrilateral can have exactly 1 pair of parallel sides? D trapezold Brhombus C squara A rectangle help please i n
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!