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
zimovet [89]
3 years ago
5

When a certain drug is taken orally, the concentration of the drug in the patient's bloodstream after t minutes is given by

Mathematics
1 answer:
sineoko [7]3 years ago
7 0
The time when the maximum serum concentration is reached is obtained by equating the derivative of C(t) to 0.
i.e. dC(t)/dt = 0.06 - 2(0.0002t) = 0.06 - 0.0004t = 0
0.0004t = 0.06
t = 0.06/0.0004 = 150
Therefore, the maximum serum concentration is reached at t = 150 mins

The maximum concentration = 0.06(150) - 0.0002(150)^2 = 9 - 0.0002(22,500) = 9 - 4.5 = 4.5
Therefore, the maximum concentration is 4.5mg/L
You might be interested in
Calculation of <br> 24 – 16 ÷ 4 x 2 + 3
zavuch27 [327]

Answer:

19

Step-by-step explanation:

BODMAS

Brackets.

Of

Division

Multiplication

Addition and

Subtraction

go according to the BODMAS rule and solve the division first

24-(16÷4)×2+3

Then solve the multiplication part

24-(4×2)+3

Now solve like a regular sum

24-8+3

16+3

19

7 0
3 years ago
Image point N'(12, -6) was dilated from the pre-image point N(4, -2). What was the scale factor used?
skelet666 [1.2K]
The scale factor's 3 since 12 and 4 can be divided by 3 and -6 and -2 can also be divided by 3.
7 0
3 years ago
Can someone please help me ASAP
forsale [732]

Answer:

its B

Step-by-step explanation:

8 0
3 years ago
[Algebra 2] Find the quotient with the necessary restrictions.​
Tatiana [17]

Answer:

The correct answer is:   3x² (4x - 1) / (x - 4) (x - 3) ∧ restriction x ≠ 3, x ≠ 4, x ≠ 0 and x ≠ 1/4

Step-by-step explanation:

Given:

((16x² - 8x + 1) / (x² - 7x + 12)) : ((20x² - 5x) / 15x³) =

dividing with one fraction is the same as multiplying with its reciprocal value

((16x² - 8x + 1) / (x² - 7x + 12)) · (15x³ / (20x² - 5x))

First we need to factorize both numerators and denominators

16x² - 8x + 1 = (4x - 1)²   This is square binomial

x² - 7x + 12 = x² - 4x - 3x + 12 = x (x - 4) - 3 (x - 4) = (x - 4) ( x - 3)

20x² - 5x = 5x (4x - 1)

(4x - 1)² / (x - 4) (x - 3) ·  15x³ / 5x (4x - 1)

The existence of this rational algebraic expression is possible only if it is:

x - 4 ≠ 0 and x - 3 ≠ 0 and x ≠ 0 and 4x - 1 ≠ 0  =>

x ≠ 4 and x ≠ 3 and x ≠ 0 and x ≠ 1/4  This is restriction

Finally we have:

3 x² (4x - 1) / (x - 4) (x - 3)

God with you!!!

8 0
3 years ago
Half a number is at least 2 units from 20. write the sentence as an absolute value inequality
Anuta_ua [19.1K]

Answer:

|1/2x - 20| ≥ 2

Step-by-step explanation:

The number is half of two and at least two units away.

8 0
3 years ago
Read 2 more answers
Other questions:
  • Solve the radical equation. q-6=sqrt(27-2q). What is the extraneous solution to the radical equation?
    14·1 answer
  • PLEASE HELP ME ON THIS!!
    14·1 answer
  • If y = 2^2p−1 and z = p − 2, what is the value of y/z when p = 2.5?
    7·1 answer
  • Please help ill brainlist and put higher points in my next question
    12·1 answer
  • Stella invested $42,000 in an account paying an interest rate of 4 7/8% compounded quarterly. Chloe invested $42,000 in an accou
    12·1 answer
  • Solve for d 71d+12=143​
    10·1 answer
  • HELPPP ME PLEASEEEEEEEEE
    6·1 answer
  • Diane split 3/4 pounds of candy among 8 people. What is the unit rate in pounds per person? Write your answer in simplest form.
    7·1 answer
  • Pls help me with this question
    11·1 answer
  • A bank has a fixed the rate of interest 8% p.a semi aaunually compound interest in account X and 12% p.a annually compound inter
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!