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
Irina18 [472]
3 years ago
13

A bacteria culture initially contains 100 cells and grows at a rate proportional to its size. After an hour the population has i

ncreased to 570. (a) Find an expression for the number of bacteria after t hours. P(t)
Biology
1 answer:
Naddika [18.5K]3 years ago
5 0

Answer:

p(t)=100e^ln5.7t

Explanation:

The growth rate of bacteria is directly proportional to its size and shows the exponential growth. The initial bacteria amount is 100 and later increased to 570.

The number of bacteria after t hours is

p(t)=100e^kt where k is the relative growth rate. and t is the time.

Here p (t) = 570 and t = 1 hour, then K =

 420=100e^k(1)  

K = ln(5.7)

Put the value of K in original equation then,

p(t)=100e^ln(5.7)t

Thus, the expression for the number of bacteria after t hours is p(t)=100e^ln(5.7)t .

You might be interested in
Which of the following activities would disqualifyan animal from USDA category C?Terminal Surgery
suter [353]

Answer:

SURGERY.

Explanation:

Based on classification by the United States department of Agriculture, Category C, animals are exempted from procedure that can inflict pain, or distress.in addition any procedure that involved the use of analgesics (e.g. surgery) should not be performed on the animals.

Besides, regular procedures, of administration of injections and taken blood samples(preparation for surgery) which may produce minimal discomfort are also classified in this category.

5 0
3 years ago
What are two examples of organisms competing for a shared resources?
Katen [24]
Lions and tigers competing for an antelope.
5 0
3 years ago
N the species selection model, __________ is to macroevolution as __________ is to microevolution.
rosijanka [135]
Big growth is
<span>macroevolution as small growth is to microevolution</span>
7 0
3 years ago
Research indicates that ibuprofen a drug used to relieve inflammation and pain is a mixture of two enantiomers that is molecules
sergeinik [125]
<span>Are mirror images of one another
  in science, an enantiomer, otherwise called an optical isomer, where you have two stereoisomers that are perfect representations of each other that are non-superimposable , much as one's left and right hands are the same aside from being turned around along one pivot.</span>
5 0
3 years ago
Que hará un pez que tiene vejiga natatoria para sumergirse en aguas más profundas
kotykmax [81]

Answer:

La vejiga natatoria en un pez, se ve afectada por la presión hidrostatica del agua, generando presión y estrechamiento sobre esta, al disminuirse hace más fácil la inmersión, puesto que está vejiga contiene aire que tiene peso menor que el agua y hace flotar con más facilidad al pez, sin embargo cuando el pez sube, la vejiga aumentará su volumen y tendrá que nadar más para mantenerse más abajo en el agua

4 0
3 years ago
Other questions:
  • Which of the following is an example of the pattern of evolution? heredity descent with modification the inheritance of acquired
    11·1 answer
  • _____ better mirrors the mitosis process.<br> Meiosis I<br> Meiosis II
    6·2 answers
  • What does this photograph, which is representative of most of mercury, indicate about the planet?
    11·1 answer
  • What is an advantage of using nuclear power?
    10·1 answer
  • What are 3 limiting factors that can prevent a population from increasing?
    14·1 answer
  • Will give Brainliest (8th grade science) HELP
    6·1 answer
  • As a child, you contracted hand, foot, and mouth disease, which is caused by a virus. Several years later, your sibling also con
    5·1 answer
  • Which of the following statements about wildfires in deciduous forests is not true?
    7·2 answers
  • The head of a human offspring turns down and prepares to enter the birth canal during ________
    9·2 answers
  • NEED ANSWER QUICKLY PLZ
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!