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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.

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Zanzabum

9514 1404 393

Answer:

  7 in

Step-by-step explanation:

For width w in inches, the length is given as 2w+1. The area is the product of length and width, so we have ...

  A = LW

  105 = (2w +1)w

  2w^2 +w -105 = 0

To factor this, we're looking for factors of -210 that have a difference of 1.

  -210 = -1(210) = -2(105) = -3(70) = -5(42) = -6(35) = -7(30) = -10(21) = -14(15)

So, the factorization is ...

  (2w +15)(w -7) = 0

Solutions are values of w that make the factors zero:

  w = -15/2, +7 . . . . . negative dimensions are irrelevant

The width of the rectangle is 7 inches.

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Andrea and sula ran a race on a track that was 100 meters long.When andrea crossed the finish line sula was exactly 5 meters beh
cestrela7 [59]
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7 0
3 years ago
The formula for simple interest is I=Prt.
sineoko [7]

a. The formula solved for t is t = I/Pr

b. The value of t in the table is 3 years

<h3>Simple Interest</h3>

From the question, we are to solve for t in the given formula

The given formula is the formula for simple interest

I = Prt

To solve for t, we will divide both sides of the equation by Pr

That is,

I/Pr = Prt/Pr

I/Pr = t

∴ t = I/Pr

The formula solved for t is t = I/Pr

b. We are to find the value of t when

I = $75

P = $500

r = 5% = 0.05

From

t = I/Pr

t = 75/(500×0.05)

t = 75/25

t = 3 years

Hence, the value of t in the table is 3 years

Learn more on Simple interest here: brainly.com/question/25793394

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4 0
1 year ago
A snail can crawl 2/5 of a meter in a minute.
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In short, Your Answer would be 15 minutes

Hope this helps!
6 0
3 years ago
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