A culture of bacteria in a Petri dish has an initial population of 1500 cells and grows
Question:
A culture of bacteria in a Petri dish has an initial population of 1500 cells and grows at a rate (in cells/day) of N'(t) = 100e-0.25t. Assume t is measured in days.
a. What is the population after 20 days? After 40 days?
b. Find the population N(t) at any time t ≥ 0.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 100% (5 reviews)
025t dt 20 a N20 1500 0 100e 1897 cells 5t 10 150...View the full answer
Answered By
Muhammad Umair
I have done job as Embedded System Engineer for just four months but after it i have decided to open my own lab and to work on projects that i can launch my own product in market. I work on different softwares like Proteus, Mikroc to program Embedded Systems. My basic work is on Embedded Systems. I have skills in Autocad, Proteus, C++, C programming and i love to share these skills to other to enhance my knowledge too.
3.50+
1+ Reviews
10+ Question Solved
Related Book For
Calculus Early Transcendentals
ISBN: 978-0321947345
2nd edition
Authors: William L. Briggs, Lyle Cochran, Bernard Gillett
Question Posted:
Students also viewed these Mathematics questions
-
The population of a culture of bacteria has a growth rate given by
-
A bacteria culture initially contains 100 cells and grows at a rate proportional to its size. After an hour the population has increased to 420. (a) Find an expression for the number of bacteria...
-
A bacteria culture initially contains 100 cells and grows at a rate proportional to its size. After an hour the population has increased to 420. (a) Find an expression for the number of bacteria...
-
The national mean annual salary for a school administrator is $90,000 a year. A school official took a sample of 25 school administrators in the state of Ohio to learn about salaries in that state to...
-
At an initial point on the aggregate demand curve, the price level is 100, and real GDP is $15 trillion. After the price level rises to 110, however, there is an upward movement along the aggregate...
-
Explain whether or not the volume of a metal specimen changes when the specimen is subjected to a state of (a) Uniaxial compressive stress and (b) Uniaxial tensile stress, all in the elastic range.
-
Compute the point estimates b0 and b1. Exercises 610 refer to the following data set: x 25 13 16 19 29 19 16 30 y 40 20 33 30 50 37 34 37
-
Millie Company produces a product that passes through an assembly process and a finishing process. All manufacturing costs are added uniformly for both processes. The following information was...
-
Think of a product or service that you use regularly and describe what it is. Consider if you were an entrepreneur just starting up your own business to develop and sell that product. How would you...
-
Interest: the company has two credit facilities. A term loan that had a balance of $90M at the end of 2018, scheduled amortization of $5M / quarter and an interest rate of 10% / annum A revolving...
-
The population of a community of foxes is observed to fluctuate on a 10-year cycle due to variations in the availability of prey. When population measurements began (t = 0), the population was 35...
-
The daily discharge of the Spokane River as it flows through Spokane, Washington, in April and June is modeled by the functions r 1 (t) = 0.25t 2 + 37.46t + 722.47 (April) and r 2 (t) = 0.90t 2 -...
-
Determine whether your state has a lottery. If so, do research and write a paper indicating (a) The probability of winning the grand prize. (b) The odds against winning the grand prize. (c) Explain,...
-
Which of the following is not an example of a social force? A. trends B. values C. industrial change D. all of the above
-
To what extent can leaders institute change in their organizations? Practically speaking, how is this accomplished?
-
Ones collection of psychological attributes, such as motivation, empathy, self-awareness, and social skills is known as __________. A. emotional intelligence B. leadership traits C. leadership style...
-
When a recession occurs __________. A. all industries benefit B. some industries benefit C. no industries benefit D. none of the above
-
The unconscious reference to ones own cultural values as a standard of judgment is known as __________. A. emotional intelligence B. the self-reference criterion C. global awareness D. none of the...
-
On average how many units will be produced until the control chart signals that the process is out of control when it is under control? A firm that manufactures notebook computers uses statistical...
-
3.16. For a system with non-identical service rates (see Sect. 3.5) and a limit of N jobs in the system (Eq. 3.13), obtain an expression for the mean service time per job, E[Ts], as a function of the...
-
The instructions for the integrals have two parts, one for the Trapezoidal Rule and one for Simpsons Rule. I. Using the Trapezoidal Rule a. Estimate the integral with n = 4 steps and find an upper...
-
How are integral tables typically used? What do you do if a particular integral you want to evaluate is not listed in the table?
-
When the degree of a polynomial (x) is less than the degree of a polynomial g(x), how do you write (x)/g(x) as a sum of partial fractions if g(x) a. Is a product of distinct linear factors? b....
-
The following information is available for Bonita's Chocolates: Actual production 2,750 boxes Budgeted production 3,450 boxes Direct Materials Standard Actual 4 pounds of chocolate per box @ $6.00...
-
James is currently on a bridge, 2 1 meters above the water and throws a ball in the horizontal direction. The ball gets to the water surface at a horizontal distance of 1 2 meters from James. ( a )...
-
What is the percentage expected annual rate of return on a $ 1 million investment for a 1 5 % interest in a company? In 4 years, the company will be acquired for $ 1 1 million.
Study smarter with the SolutionInn App