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madam [21]
4 years ago
9

What is happening to the population during phase 2

Mathematics
1 answer:
astra-53 [7]4 years ago
3 0
The population is increasing greatly at a very fast rate compared to the rest of the data.
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A bacteria population experiences continuous growth. If there were 2,000 bacteria present at the start of an experiment, how lon
allochka39001 [22]

Answer:

D. About 15.69 hours.

Step-by-step explanation:

Let x be the number of hours.

We have been given that there  were 2,000 bacteria present at the start of an experiment and the growth rate was 7% per hour.

Since number of bacteria is growing exponentially, so we will use exponential growth function to solve our given problem.

The continuous exponential growth formula is in form: y=e^{kx}, where,

e= mathematical constant,

k = Growth rate in decimal form.

Let us convert our given rate in decimal form.

7\%=\frac{7}{100}=0.07

Upon substituting our given values we will get exponential function for bacteria growth as: y=2,000*e^{0.07x}, where, y represents number of bacteria after x hours.

Since we need to figure out the number of hours it will take for there to be 6,000 bacteria, so we will substitute y= 6,000 in our function.

6,000=2,000*e^{0.07x}

Let us divide both sides of our equation by 2,000.

\frac{6,000}{2,000}=\frac{2,000*e^{0.07x}}{2,000}

3=e^{0.07x}

Let us take natural log of both sides of our equation.

\text{ln}(3)=ln(e^{0.07x})

\text{ln}(3)=0.07x

1.0986122=0.07x  

x=\frac{1.0986122}{0.07}  

x=15.69446\approx 15.69  

Therefore, it will take about 15.69 hours to be 6,000 bacteria and option D is the correct choice.




3 0
3 years ago
Suppose the total weight of the fish caught stayed the same but instead of 100 fish caught during the weeklong fishing trip only
Paha777 [63]
The weight of each fish would be multiplied by 10.

Assume the first time, the weight was 800 lb.  Since there were 100 fish caught, the weight of each fish would be 800/100 = 8 lb.

This time, however, only 10 fish were caught.  The weight would be 800/10 = 80 lb.  

80 = 8(10), so the weight is 10 times more.
4 0
3 years ago
Hey! please help i’ll give brainliest
Anna11 [10]

Answer: A goverment by people

Step-by-step explanation:

3 0
3 years ago
What is the distributive property of 36÷3
olya-2409 [2.1K]
12 is the answer your looking for
7 0
3 years ago
Read 2 more answers
6 numbers are shown
Sonja [21]

Answer:

-1\frac{1}{2}, -\frac{3}{4}, -\frac{37}{50}, \frac{5}{4}, 1\frac{1}{4}, 2\frac{3}{4}

Step-by-step explanation:

1\frac{1}{4} , -1\frac{1}{2},  -\frac{37}{50}, -\frac{3}{4}, 2\frac{3}{4},  \frac{5}{4}

Order everything, negative to the left side and positive to the right side

<u><em>Negative numbers:</em></u>

-1\frac{1}{2}, -\frac{37}{50}, -\frac{3}{4}

<u><em>Positive numbers:</em></u>

1\frac{1}{4}, 2\frac{3}{4}, \frac{5}{4}

<em><u>Now order it on a number line:</u></em>

-1\frac{1}{2}, -\frac{3}{4}, -\frac{37}{50}, \frac{5}{4}, 1\frac{1}{4}, 2\frac{3}{4}

8 0
3 years ago
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