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vampirchik [111]
3 years ago
13

suppose that the number of bacteria in a certain population increases according to a continuous exponential growth model. A samp

le of 1700 bacteria selected from this population reach the size of 1892 bacteria in three hours. Find the hourly growth rate parameter
Mathematics
1 answer:
Tema [17]3 years ago
8 0

Answer:

3.33% per hour

Step-by-step explanation:

Use the A=Pe^rt equation. A is the end amount, so it's 1892. P is the original amount, 1700. E is a constant, around 2.72. R is the growth constant. T is the time that passed, 3 hours. You can substitute the givens into the equation and get 1892=1700e^(3r). Divide by 1700 to isolate the e. This leaves you with 1892/1700=e^(3r). Do the natural log of each side cancel the e and bring the exponent down. This leaves you with ln(1892/1700)=3r. Divide by 3 to isolate r. ln(1892/1700) is .1. .1/3 is .03333. Multiply by 100 to get a percent. 3.33 percent is your final answer.

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mihalych1998 [28]

624/27

first you have to know what number that can be subtracted by 62

1. do 27 times 2 equal 54 then you subtract 62 by 54 equal 8 then you put 84 together that will 84 then multiply 27 times 3 = 81 then subtracted by 84

84-81 equal 3

In the calculator the answer is 23.1111111111

3 0
3 years ago
Which ordered pair is a solution of the equation y = -5x + 4
arsen [322]

D. (5,-21) would be your answer

8 0
3 years ago
Which number line shows the solution to 5 + (−5)?
alex41 [277]

Answer:

first one is A  and the second one is B.

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
What is the area of triangle abc below? If necessary, round your answer to two decimal places..... PLEASE PLEASE HELP ME
antiseptic1488 [7]
For a triangle:
A=\frac{bh}{2}
A=\frac{b \times 7.9}{2}
b=AD+DC
Use Pythagorean theorem twice:
AD^{2}+9.4^{2}=7.9^{2}
AD=5.09

DC^{2}+23.2^{2}=7.9^{2}
DC=21.81

Thus:
b=26.9

And:
Area=\frac{26.9 \times 7.9}{2}=106.26

6 0
3 years ago
Bianca had a weekly allowance of $8.50 two years ago. Last year, her weekly allowance was $9.75. This year, Bianca's weekly allo
Natasha_Volkova [10]

Answer:

No

Step-by-step explanation:

In this particular scenario, based on the numbers I would say that it does not make sense to represent this with a constant rate. That is because in a span of three years the change between each year is completely different, for example, between the first and second year there was a change of

9.75 - 8.50 = 1.25 dollar change

1.25 / 8.50 = 0.147 or a 14.7% increase

Between the second and third year, there was a change of

12 - 9.75 = 2.25 dollar change

2.25 / 9.75 = 0.23 or 23% increase

Therefore, each year the percent and dollar value increase is increasing more and more which would not be a constant rate.

3 0
3 years ago
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