The function that represents the growth of this culture of bacteria as a function of time is; P = 1500e^(1.0986t)
<h3>How to calculate Exponential Growth?</h3>
The formula for exponential growth is;
P = P₀e^(rt)
where;
P = current population at time t
P₀ = starting population
r = rate of exponential growth/decay
t = time after start
Thus, from our question we have;
4500 = 1500 * e^(r * 1)
4500/1500 = e^r
e^r = 3
In 3 = r
r = 1.0986
Thus, the function that represents the growth of this culture of bacteria as a function of time is;
P = 1500e^(1.0986t)
For the culture to double, then;
P/P₀ = 2. Thus;
e^(1.0986t) = 2
In 2 = 1.0986t
t = 0.6931/1.0986
t = 0.631 hours
Read more about Exponential Growth at; brainly.com/question/27161222
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Answer:
That is a lot of questions to answer. But I will try.
5)
a) 6 square units
b) 5/6
Second picture
1. Area = 6
2. Area = 4.5
3. Area = 20
4. Area = 9
5. Area = 17.5
Third picture
a) 8 units because if you move the bottom triangle to the top of the other triangle it makes a rectangle with height of 2 and length of 4.
I'm sorry I have to go I would love to finish this but I hope what I gave helps you!
8/15 = m/15
Cross multiply:
8 * 45 = 15 * M
Simplifying
8 * 45 = 15 * M
Multiply 8 * 45
360 = 15 * M
Solving
360 = 15M
Answer:
287.7 u gotta be kidding,
Step-by-step explanation:
42×6.85=287.7
