Answer:
(4) -1.
Step-by-step explanation:
First evaluate f(π/2) which is 2 * π/2 = π.
So g(f(π/2)) = g(π)
= cos π
= -1.
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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The value of a = 2.17 and b = 1.95.
<h3>What is regression line?</h3>
A regression line is a graphic representation of the regression equation expressing the hypothesized relationship between an outcome or dependent variable and one or more predictors or independent variables;
y=
Correlation:
r=0.964
R-squared:
r²=0.9292
Hence, value of a and b is 2.17 and 1.95.
learn more about regression line here:
brainly.com/question/11340674
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Answer:
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Step-by-step explanation:
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