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
riadik2000 [5.3K]
3 years ago
13

A drug is eliminated from the body through urine. Suppose that for a dose of 10 milligrams, the amount A(t) remaining in the bod

y t hours later is given by A(t) = 10(0.7)t and that in order for the drug to be effective, at least 4 milligrams must be in the body.
a. Determine when 2 milligrams is left in the body.
b. What is the half-life of the drug?
Mathematics
1 answer:
adell [148]3 years ago
6 0

Answer: a - 4.512 hours

b - 1.94 hours

Step-by-step explanation:

Given,

a) A(t) = 10 (0.7)^t

To determine when 2mg is left in the body

We would have,

A(t) = 2, therefore

2 = 10(0.7)^t

0.7^t =2÷10

0.7^t = 0.2

Take the log of both sides,

Log (0.7)^t = log 0.2

t log 0.7 = log 0.2

t = log 0.2/ 0.7

t = 4.512 hours

Thus it will take 4.512 hours for 2mg to be left in the body.

b) Half life

Let A(t) = 1/2 A(0)

Thus,

1/2 A(0) = A(0)0.7^t

Divide both sides by A(0)

1/2 = 0.7^t

0.7^t = 0.5

Take log of both sides

Log 0.7^t = log 0.5

t log 0.7 = log 0.5

t = log 0.5/log 0.7

t = 1.94 hours

Therefore, the half life of the drug is 1.94 hours

You might be interested in
X
9966 [12]
The answer will be x=23
6 0
2 years ago
Which of the following is the equation of a line that is perpendicular to the graph of y=2/5x-1
monitta
Where is the line...................
8 0
2 years ago
What is the slope of (4,8) and (10,7)
saveliy_v [14]

Answer:

The answer is -1 / 6

Step-by-step explanation:

use the formula y2 - y1 / x2 - x1 = m

7 - 8 / 10 - 4 = -1 / 6

4 0
3 years ago
Read 2 more answers
Mr. Sims received $3.36 in change from his grocery purchase. If the total amount of his purchase was $56.64, which equation and
polet [3.4K]

Answer:

The answer to your question is x – 56.64 = 3.36; x = 60  because He gave the cashier 60 dollars, and the cashier game him back 3.36 dollars. And 60-$56.64 = $3.36.

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
A Kite of Area 255 m2 has one diagonal of length 9m . find the length of the other diagonal
Bas_tet [7]

\\ \rm\longmapsto Area=255m^2

\\ \rm\longmapsto LB=255

\\ \rm\longmapsto 9L=255

\\ \rm\longmapsto L=\dfrac{255}{9}

\\ \rm\longmapsto L=28.3m

6 0
3 years ago
Other questions:
  • Factor the expression. 8g3 + 10g2 – 12g – 15
    6·1 answer
  • 1. Hellppppppppppp!!!!!!
    11·1 answer
  • What are the roots of the quadratic equation x2+2x=-5
    13·1 answer
  • J bought three 15pund bags of dry dog food. Her dog eats 10 ounces of dry dog food a day. After how many days will J need to buy
    10·1 answer
  • Joe drew a circle Whose Circumference is 25 cm Mario drew a circle who is diameters three times the dynamic number of Joe Circle
    12·1 answer
  • Please answer quickk
    14·2 answers
  • I need help my math teacher is bugging me to answer the question for a day assignment
    7·2 answers
  • This my lil sis work help her
    6·2 answers
  • Dana is riding her bike. She rides 20 miles in 2 hours, 30 miles in 3 hours, and 40 miles in 4 hours. Find the constant of prop
    11·1 answer
  • A racing car on the straight accelerates from 100 km/h to 316 km/h in three seconds.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!