The number of bacteria in a culture begins with approximately 10,000 organisms at the start of an experiment. If the bacteria doubles every 3 hr, the model P(t) = 10,000e 0.231t represents
the population P(t) after t hours.
a. Write a function to model the amount of time it would be required to grow the model
to a population of 4.5 million.
b. Determine the amount of time required for the population to grow to 4.5 million. Round
to the nearest hour.

according to this law, when unemployment goes up by 1%, gdp drops by 2%. in the question, unemployment rate goes from 2% to 5%, meaning unemployment goes up by 3%, so the gdp drops by 6%. thus the effect is a drop in gdp by 6%.

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the equivalent expression are always the hardest ones but you look at the gcf also

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guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation: