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
Ksivusya [100]
2 years ago
13

The concentration of a drug in the body decreases exponentially after a dosage is given. In one clinical study, adult subjects a

veraged 14 micrograms/milliliter (mcg/mL) of the drug in their blood plasma 1 hr after a 1000-mg dosage and 3 micrograms/milliliter 4 hr after dosage.
a) Find the value k, and write an equation for an exponential function that can be used to predict the concentration of the drug, in micrograms/milliliter, t hours after a 1000-mg dosage.
b) Estimate the concentration of the drug 3 hr after a 1000-mg dosage.
c) To relieve a fever, the concentration of the drug should go no lower than 4 mcg/mL. After how many hours will a 1000-mg dosage drop to that level?
k = ________(Round to three decimal places as needed.)
Mathematics
1 answer:
Yanka [14]2 years ago
4 0

Answer:

Step-by-step explanation:

14 = 1000 e^{ k*1}

.014 = e^{k*1}

ln(.014) = k ln(e)

k = -4.268

~~~~~~~~~~~~~~~~~~

after 3 hrs

1000 e^{ -4.268*3}

0.00274

~~~~~~~~~~~~~~~

4 = 1000 e^{ -4.268*t}

.004 =  e^{ -4.268*t}

ln(.004)/-4.268 = t

t = 1.29368 hrs

You might be interested in
Candy and Tim share a paper route. It takes Candy 85 min to deliver all the papers, and it takes Tim 65 min. How long does it ta
RSB [31]

Answer:

The time required to finish the work by both candy and Tim working together = 36.83 minute

Step-by-step explanation:

Time taken by the candy to finish the work T_{1}= 85 min

Time taken by the Tim to finish the work T_{2}  = 65 min

Thus the time taken by both to finish the work = \frac{T_1 \times\ T_2}{T_1 + T_2}

Put the values of T_{1} and T_{2}  we get ,

                    T_{} = \frac{85 \times\ 65}{85 + 65}

                    T_{} = \frac{221}{6}

                    T_{} = 36.83 minute

Thus the time required to finish the work by both candy and Tim working together = 36.83 minute

3 0
3 years ago
Help with these, if theyre right, ill give brainliest
adelina 88 [10]

Answer:

q1: yes

q2: no

Step-by-step explanation:

2(5)+10(1)=20

10+10=20

20=20

(5)+(1)=6

5+1=6

6=6

(8)=(1)+3

8=1+3

8=4

3 0
2 years ago
Read 2 more answers
Please help, I I beg you please
Tatiana [17]

Answer:

<em>The volume of the cube is </em> \mathit{\frac{27}{z^3x^{9}}} <em>cu in.</em>

Step-by-step explanation:

<u>The Volume of a Cube</u>

Let's have a cube of side length a. The volume of the cube is:

V=a^3

The cube of the image has a side length of

\displaystyle a=\frac{3x^{-3}}{z}\ inches

Simplifying the expression of the base by converting the negative exponent in the numerator to the denominator:

\displaystyle a=\frac{3}{zx^{3}}\ inches

Now find the volume:

\displaystyle V=\left(\frac{3}{zx^{3}}\ inches\right)^3

Applying the exponents:

\displaystyle V=\frac{3^3}{z^3x^{9}}\ inches^3

\displaystyle V=\frac{27}{z^3x^{9}}\ inches^3

The volume of the cube is \mathbf{\frac{27}{z^3x^{9}}} cu in.

8 0
3 years ago
In a recent survey, students were asked how long they play video games in one sitting. The interquartile range of
Alex Ar [27]

Answer:

The middle half of the video game data has a range that is 43 minutes wide.

Step-by-step explanation:

Thats the answer on Edguinity I took the Quiz.

5 0
3 years ago
Verify that the given segments are parallel.
AlekseyPX

Answer:

Step-by-step explanation:

M and N and QR

4 0
3 years ago
Other questions:
  • The tail of a 1-mile long train exits a tunnel exactly 3 minutes after the front of the train entered the tunnel. If the train i
    5·2 answers
  • A total of 600 tickets were sold for a concert
    11·1 answer
  • How much of the circle is shaded 1/3+3/8
    6·1 answer
  • Tickets to a show cost $10 in advance and $15 at the door if 120 tickets are sold for a total of $1390, how many of the tickets
    10·1 answer
  • HELP I tried but no luck
    11·1 answer
  • Simplify the expression (2/9) ^2
    14·1 answer
  • The point (3, 6) is located on the graph of y = 2x. <br> <br> True <br> <br> False
    9·2 answers
  • Three points have coordinates A (0 , 7) , B (8 , 3) and C (3k , k)
    6·2 answers
  • What number would you add to both sides of x² + 7x = 4 to complete the square?
    12·1 answer
  • Yarin’s gross pay for the year was $3,500. The federal income tax withholding from his pay was 9% of his gross pay. Yarin determ
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!