Question

In: Math

The body removes antibacterial drugs at a rate in proportion to the amount present. Your task...

The body removes antibacterial drugs at a rate in proportion to the amount present. Your task is to:

  • Express this as a differential equation.
  • Assume the initial dosage is 450 milligrams. 7 hours later, 50 milligrams remain inside the body. Determine the decay constant.
  • Proceed given the facts in the previous statement. How long after the drug was administered would 200 milligrams be found in the body?

Solutions

Expert Solution

milcah answered 2 years ago
Next > < Previous

Related Solutions

Learning Task 19-04 - Drugs in the Body Create a chart that summarizes how drugs get...
Learning Task 19-04 - Drugs in the Body Create a chart that summarizes how drugs get into, are distributed, and do their job in the body. Make a note of some of the challenges to getting drugs where they are needed. Include information about the following in your chart : Circulatory System Liver Stomach and Stomach Acid Small Intestine Enzymes Protein Fat Receptors Cells
the amount of caffeine in a persons body follows an exponential function, as do many drugs....
the amount of caffeine in a persons body follows an exponential function, as do many drugs. the half life of caffeine is typically about 5.5 hours. if you drink a can of Red Bull, you put 80 mg of caffeine into your body. how long will it be until the amount of caffeine drops to 50 mg?
Suppose that Polonium decays at a rate propotional to the amount present. If a sample of...
Suppose that Polonium decays at a rate propotional to the amount present. If a sample of Polonium -210 decays so that there is 50 gr left after 140 days and 25 gr after 280 days, how much Polonium did the sample have to begin with? A balloon is rising at a constant speed 4 m/sec. A boy is cycling along a straight road at a speed of 8 m/sec. When he passes under the balloon, it is 36 metres above...
Your task is to write a program in C or C++ that calculates the total amount...
Your task is to write a program in C or C++ that calculates the total amount of money a person has made over the last year. Your program will prompt the user for dollar amounts showing how much the user has made per job. Some users will have had more than one job, make sure your program allows for this. The program will print out the total made (all jobs) and will print out the federal and state taxes based...
Your task is to create a Java application that converts a specified amount of one currency...
Your task is to create a Java application that converts a specified amount of one currency into another currency for a user. The application must meet the following requirements: Upon execution, the application shall display a brief welcome message announcing that the user is running the currency converter application. The application shall allow a user to convert amounts between any two of the following currencies: United States Dollars (USD), British Pounds (GBP), Swiss Francs (CHF), and Indian Rupees (INR). The...
Your task is to create a Java application that converts a specified amount of one currency...
Your task is to create a Java application that converts a specified amount of one currency into another currency for a user. The application must meet the following requirements: 1. Upon execution, the application shall display a brief welcome message to the user to let her know she is running the currency converter application. 2. The application shall allow a user to convert amounts between any two of the following currencies: United States Dollars (USD), British Pounds (GBP), Swiss Francs...
What percentage of your campus student body is female? Let p be the proportion of women...
What percentage of your campus student body is female? Let p be the proportion of women students on your campus. (a) If no preliminary study is made to estimate p, how large a sample is needed to be 99% sure that a point estimate p^ will be within a distance of 0.05 from p? (b) A report indicates that approximately 57% of college students are female. Answer part (a) using this estimate for p.
You decide to further your research project by hypothesizing that the true proportion of core body...
You decide to further your research project by hypothesizing that the true proportion of core body temperature increases amidst higher ambient temperature and humidity levels for the population who do not use electric fans is less than those who do use electric fans, setting the level of significance at 5% for the formal hypothesis test. In other words, you extend your sampling to two samples instead of just one. You randomly sample 31 and 39 participants for your first and...
A radioactive material disintegrates at a rate proportional to the amount currently present. If Q(t) is...
A radioactive material disintegrates at a rate proportional to the amount currently present. If Q(t) is the amount present at time t, then dQ/dt=−rQ where r>0 is the decay rate. If 300 mg of a mystery substance decays to 80.84 mg in 3 weeks, find the time required for the substance to decay to one-half its original amount. Round the answer to 3 decimal places.
1. Armando's body metabolizes caffeine at a rate of 13.6% per hour (so the amount of...
1. Armando's body metabolizes caffeine at a rate of 13.6% per hour (so the amount of caffeine in Armando's body decreases by 13.6% each hour). a) If Armando consumes a cup of coffee with 82 mg of caffeine in it, how long will it take for Armando's body to metabolize half of the 82 mg of caffeine? b) If Armando consumes an energy drink with 208 mg of caffeine in it, how long will it take for Armando's body to...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT