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
garri49 [273]
3 years ago
13

Which function can be used to find the number of cells of bacteria in the population at time t

Mathematics
1 answer:
Nonamiya [84]3 years ago
6 0

Answer:

db / dt = kb  

this becomes b(t) = Ce^(kt)  

C = 100, the initial population  

P(1) = 420 = 100 e^(1k)  

4.2 = e^k  

ln 4.2 = k  

a) thus, b(t) = 100 e^(t ln 4.2)  

b) b(3) = 100 e^(3 ln 4.2)  

c) growth constant will still be ln 4.2 (constant percentage of populatioin)  

d) 10000 = 100 e^(t ln 4.2)  

100 = e^(t ln 4.2)  

ln 100 = t ln 4.2  

t = ln 100 / ln 4.2

Step-by-step explanation:

You might be interested in
Thaddeus shakes his head as he pays $12.37 to the clerk for lunch. Complaining to a friend, Thaddeus says, “Do you realize that
atroni [7]

a)

his income must be "x" which is the 100%, and we would know that 0.2% of that is 12.37.

\begin{array}{ccll} amount&\%\\ \cline{1-2} x&100\\ 12.37&0.2 \end{array}\implies \cfrac{x}{12.37}=\cfrac{100}{0.2}\implies 0.2x=1237 \\\\\\ x=\cfrac{1237}{0.2}\implies x=61.85

b)

his income must be "x" which is the 100%, and we would know that 2% of that is 12.37.

\begin{array}{ccll} amount&\%\\ \cline{1-2} x&100\\ 12.37&2 \end{array}\implies \cfrac{x}{12.37}=\cfrac{100}{2}\implies 2x=1237 \\\\\\ x=\cfrac{1237}{2}\implies x=618.5

btw he's not making much either way.

7 0
2 years ago
A volleyball league organizer collected $2,040 for both divisions of volleyball teams.teams.the blue division costs &160 per
evablogger [386]

A volleyball league organizer collected $2,040 for both divisions of volleyball teams. The Blue division costs $160 per team and the Red division cost $180 per team. How many teams will play in each division.

<h3><u>Answer:</u></h3>

6 teams will play in each division

<h3><u>Solution:</u></h3>

Given that volleyball league organizer collected $2,040 for both divisions of volleyball teams

The blue division costs $160 per team

The Red division cost $180 per team.

Let the number of blue teams be "b"

Let the number of red teams be "r"

Total cost = number of blue teams x cost of blue division per team + number of red teams x cost of red division per team

Total cost = 160b + 180r

2040 = 160b + 180r

Assuming both divisions have the same number of teams, we substitute b = r = x

2040 = 160x + 180x

2040 = 340x

x = 6

So 6 teams will play in each division

4 0
3 years ago
Flora has 33 flowers and she can pick 7 flowers a minute. Write an equation that shows how many flowers, F, that Flora will have
monitta
F=7M
33=M
Both answers will work
3 0
4 years ago
6+5(a-1)=36 please answer me ​
azamat

i think the answer is 35

6 0
3 years ago
Read 2 more answers
Find all the zeros of f(x) = 2x - 5x² - 4x + 10.
galina1969 [7]

Answer:

10

Step-by-step explanation:

Plug in 0 where x is

See image below:)

6 0
3 years ago
Other questions:
  • Expression that is equal to 4(7x –2)–3(5x + 8).
    8·1 answer
  • The graph shows the function f(x) = (2.5)^x was horizontally
    8·2 answers
  • What expression is equivalent to 1/3(4-5x-1)?
    14·2 answers
  • HELP I don't understand please
    15·2 answers
  • In Art class, there was a bucket of markers on the counter with nine blue, six green, and ten orange markers. Each student will
    7·1 answer
  • Many young black ambitious musicians migrated to Harlem around 1940, where they found an alternative music scene in the after-ho
    13·1 answer
  • a candle supply store sells votive wax and low-shrink wax. how many pounds of low-shrink wax should be mixed with 8 pounds of vo
    13·1 answer
  • Hi guys! I need the answer quick for 10 points! Thx!
    7·1 answer
  • I need help someone ....
    12·2 answers
  • Please help me asap!
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!