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
tatyana61 [14]
3 years ago
12

A scientist studying bacteria begins with 20 cells. The bacteria population doubles every hour. Complete the table below to dete

rmine after how many hours there will be more than 500 bacteria cells. Time (hours) Number of bacteria cells 0 20 1 40 2 80 3 4 5 6 Write an exponential function to model this situation. Predict the bacteria population after 11 hours.
Mathematics
2 answers:
Reil [10]3 years ago
3 0
The bacteria population will be 40,960 in 11 hours
Artyom0805 [142]3 years ago
3 0

Answer:

1)

t=5 hours.

2)

40960 cells.

Step-by-step explanation:

A scientist studying bacteria begins with 20 cells.

The bacteria population doubles every hour.

Let P(t) determines the population of the bacteria in 't' hours.

Hence, by the given information our function P(t) is modeled as:

P(t)=20\times 2^t

Now, we have to find the value of 't' such that:

P(t)>500

i.e.

20\times 2^t>500\\\\\\2^t>\dfrac{500}{20}\\\\2^t>25

on taking logarithmic function on both side we get:

t\log 2>\log 25\\\\t>\dfrac{\log 25}{\log 2}\\\\t>4.64

i.e. after 5 hours the population of the bacteria will exceed 500.

Now we have to find the value of function P(t) when t=11.

i.e.

P(11)=20\times 2^{11}\\\\P(11)=20\times 2048\\\\P(11)=40960

Hence , the population of bacteria after 11 hours is:

40960 cells.

You might be interested in
Please help me with this!!
Lemur [1.5K]

Answer:

.....................

4 0
3 years ago
Write 6:58 pm in a 24-hour time<br>format<br>​
Gre4nikov [31]

Answer:

Step-by-step explanation:

Military Time 0658 is: 06:58 AM using 12-hour clock notation, 06:58 using 24-hour clock notation.

5 0
3 years ago
You could collect 485 customers comment cards, 220 online surveys, and 123 surveys from people passing in front of the restauran
aliina [53]

Answer:799

Step-by-step explanation: all you have to do is add all the the numbers up and you’ll get 799

4 0
3 years ago
Two secant segments intersect outside a circle as shown. What is the value of x?
torisob [31]
Using the intersecting secants theorem, QS*QR=QP*QM
3*13=2*(x+2)
39=2x+4
2x=35
x=17.5
8 0
3 years ago
Can any one help me on math? I'm in 8th grade, and I need help on slope intercept graphing. If you will please message me and I
spayn [35]
Hi! im in eighth grade too, and im learing the same stuff, i could probably help you!
7 0
3 years ago
Read 2 more answers
Other questions:
  • What is the slope of the line through the points (-2, -1) and (8, -3)
    15·2 answers
  • Find the quotient and remainder for 52 Divided by eight
    14·1 answer
  • In a grocery store, a $12 case of soda is labeled, "Get a 20% discount." What is the discount?
    15·1 answer
  • If you were in a hot air balloon 500 m above the ground, at what angle of depression would you look at a point on the ground 800
    7·1 answer
  • What is the value of the expression below 27^1/3
    10·1 answer
  • Can I get help on this please someone
    5·2 answers
  • If Ralf can bike in 45 kilometers in 3 hours,what will be his average rate of biking
    8·1 answer
  • Which type of graphs show individual data?
    11·1 answer
  • A train travels 625 kiy north in 15 hours. What is the bus's velocity?
    12·1 answer
  • Which proportion could you use to convert 4.5 tons to pounds?<br><br><br><br> 4.5 tons =____ pounds
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!