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
nadezda [96]
3 years ago
8

A freshly inoculated bacterial culture of Streptococcus contains 100 cells. When the culture is checked 60 minutes later, it is

determined that there are 450 cells present. Assuming exponential growth, determine the number of cells present at any time t (measured in minutes) and the find the doubling time.​
Mathematics
1 answer:
Luba_88 [7]3 years ago
7 0

Answer:

P(t) = 100e^{0.0251t}

The doubling time is of 27.65 minutes.

Step-by-step explanation:

Exponential equation of growth:

The exponential equation for population growth is given by:

P(t) = P(0)e^{kt}

In which P(0) is the initial value and k is the growth rate.

A freshly inoculated bacterial culture of Streptococcus contains 100 cells.

This means that P(0) = 100. So

P(t) = 100e^{kt}

When the culture is checked 60 minutes later, it is determined that there are 450 cells present.

This means that P(60) = 450, and we use this to find k. So

450 = 100e^{60k}

e^{60k} = 4.5

\ln{e^{60k}} = \ln{4.5}

60k = \ln{4.5}

k = \frac{\ln{4.5}}{60}

k = 0.0251

So

P(t) = 100e^{0.0251t}

Doubling time:

This is t for which P(t) = 2P(0) = 200. So

200 = 100e^{0.0251t}

e^{0.0251t} = 2

\ln{e^{0.0251t}} = \ln{2}

0.0251t = \ln{2}

t = \frac{\ln{2}}{0.0251}

t = 27.65

The doubling time is of 27.65 minutes.

You might be interested in
There are 80 runners to start a race. IN the first half of the race, 1/4 of them dropped out. In the second half of the race , 1
mihalych1998 [28]

Answer:

48

Step-by-step explanation:

80 divided by 4 is 20 so thats 1/4 of 80

80-20=60

1/5 of 60 = 12

20+12=32

80-32=48

5 0
3 years ago
Need help question 11
Helga [31]
I am sorry i dont understand

5 0
3 years ago
What is the total number of digits required in numbering a book that has 1724 pages?
Reptile [31]

Answer:

5,789

Step-by-step explanation:

I got 5,789 because there are 9 one digit numbers. 1-9 -> 9x1=9. There are 90 two digit numbers. (10-99)-> 90x2=180. There are 900 three digit numbers. (100-999)-> 900x3=2700. There are 725 four digit numbers. (1000-1724)-> 724x4= 2900. Then, I added 9+180+2700+2900=5789.

In conclusion, the total number of digits required in numbering a book that has 1724 pages is 5789.

8 0
3 years ago
._. Help me please I’m putting my faith in this app.
IRINA_888 [86]
Vas happenin!
Hope your day is going well
I think it’s A
Sorry if it’s wrong
Hope this helps *smiles*
8 0
3 years ago
Bajo del Gualicho has an elevation of - 72 meters. Lago Enriquillo has an elevation of - 46 meters. Note
Harman [31]

Answer: Bajo del Gualicho has a higher elevation than Lago Enriquillo.

Step-by-step explanation:

Since in this case the "elevations" are negative because are under sea level, we can call it depth.

In this sense, we are given the "elevations" or depths of two places:

Bajo del Gualicho: -72 m

Lago Enriquillo: -46 m

Keeping in mind we are actually talking about the depth of this places, we can  say Bajo del Gualicho is deeper than Lago Enriquillo, and this is best expressed with the following inequality:

G>E

Where G represents Bajo del Gualicho and E represents Lago Enriquillo.

4 0
3 years ago
Read 2 more answers
Other questions:
  • A sphere and a cylinder have the same radius and height. The volume of the cylinder is 21m3
    13·2 answers
  • Holly says 4.131131113... is a rational number. Which of the following best describes whether Holly is correct and why?
    10·1 answer
  • Solve for x, when y = 5.<br> 9x + 2y = 10​
    15·1 answer
  • Drag and drop descriptions in the box that correctly classifies the angle pairs you may use multiple responses in the boxes?
    9·1 answer
  • You measure 50 textbooks' weights, and find they have a mean weight of 37 ounces. Assume the population standard deviation is 5.
    7·1 answer
  • What is the estimated probability that Aidan's bus will be late every day next
    8·1 answer
  • IM SO CONFUSED! HELP AND EXPLAINNNNNN
    13·1 answer
  • HELPPPP ILL MAKE YOU BRAINLIEST OR WHATEVER IS SPELL
    5·2 answers
  • HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
    8·2 answers
  • What is the probability of picking an 8 and then picking a number greater than 6?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!