kimberlytorres5 kimberlytorres5
  • 03-11-2018
  • Mathematics
contestada

A doctor prescribes 150 milligrams of a therapeutic drug that decays by about 15% each hour. To the nearest hour, what is the half-life of the drug?

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 03-11-2018

Answer:

4 hours

Step-by-step explanation:

The amount remaining at the end of each hour is 0.85 of the amount at the start of the hour. You want to find the exponent such that ...

... 0.85^x = 0.5 . . . . . x = the number of hours until half is left

... x·log(0.85) = log(0.5) . . . . . take the log to turn it to a linear equation

... x = log(0.5)/log(0.85) ≈ 4.265024

Rounded to the nearest  hour, x = 4.

Answer Link

Otras preguntas

passes through (-6,5) and parallel to 2x-3y=12
What invention most helped to make the shift to large plantations throughout the Deep South profitable? the textile mill the mechanical reaper the cotton gin t
Some nutrients and other types of particles can be taken into a cell when the cell's plasma membrane encloses the particles and pinches off, forming a free-floa
is 14.5% equivalent to the decimal 14.5
Harriet Beecher Stowe's novel Uncle Tom's Cabin Answer was hailed as a marvelous work in the South. communicated the ills the industrial North posed on workers.
The Chinese knew how to produce silk by about 2700 B.C. A. True B. False
how are simple cations and anions named ?
A cell phone plan uses a fixed charge of $20 per month plus 10 cents for each minute used to calculate the total bill. The total bill, t, can be expressed in te
what is the square root of 112
when a large animals eats a plant eater what does it get