Ask Question
MathematicsMathematics
2 December, 11:39

75000 live bacteria present in a culture in a flask. When antibiotic is added to the culture, the number of live bacteria is reduced by half every four hours. Approximately how many hours have passed when there are 1500 bacteria left alive?

A. 22.3 hours

B. 22.6 hours

C. 22.9 hours

D. 22.2 hours

+2
Answers (1)
  1. 2 December, 11:56
    0
    The number of bacteria at any time t where t is number of hours is given by the equation,

    At = Ao (1/2) ^t/4

    where Ao is the original number of bacteria. Substituting the known values from the equation,

    1500 = (75000) (0.5) ^t/4

    The value of t from the equation is equal to 22.57 hours.
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “75000 live bacteria present in a culture in a flask. When antibiotic is added to the culture, the number of live bacteria is reduced by ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers
You Might be Interested in
Which algebraic expression represents the phrase "two times the quantity of a number minus 12"? 2y - 12 26-12) 26 + 12) 0 2y + 12
Answers (2)
Roots of quadratic equation x square - 3x=0, will be
Answers (2)
A weather forecaster predicts that the temperature in antarctica will decrease 8°f each hour for the next 6 hours. write and solve an inequality to determine how many hours tt it will take for the temperature to drop at least 36°f.
Answers (1)
A newspaper stand sold 1,000 copies of the city newspapers for $1,600. write and solve an equation to find the price of one copy
Answers (1)
Jasmine's plane ticket cost $466.88. She has already saved 25% of the cost of the ticket. During the next 2 weeks, she will save 1/2 of the remaining cost of the ticket. How much money will she save during each of the next 2 weeks
Answers (1)
New Questions in Mathematics
What does the graph of an equation reveal about the solutions to the equation? How do you solve a system of equations approximately using graphs and tables?
Answers (2)
If the equation of a parabola is y = 7 (x-4) ^2+v and its vertex is (4,-2), what is the value of v in the equation
Answers (1)
16+16= 32+32= 64+64= 128+128= 256+256=
Answers (1)
The produce place sells cranberries in bulk for $2.40 a pound. The store also sells and 8 ounce package for $1.50. Which is the better buy? Show all work!
Answers (2)
A pump discharges 278 gallons of water in 3.5 minutes. How long would it take to empty a container with 750 gallons? Round up to the nearest minute
Answers (1)
Home » Mathematics » 75000 live bacteria present in a culture in a flask. When antibiotic is added to the culture, the number of live bacteria is reduced by half every four hours. Approximately how many hours have passed when there are 1500 bacteria left alive? A. 22.
Sign Up Forgot Password?