How many 8 inch square tiles will it take to cover a rectangular kitchen floor that is 8 feet wide and 10 feet long?
1 answer:
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Answer:
The population is of 500 after 10.22 hours.
Step-by-step explanation:
The rate of change of the population of a certain organism is proportional to the population at time t, in hours.
This means that the population can be modeled by the following differential equation:
In which r is the growth rate.
Solving by separation of variables, then integrating both sides, we have that:
Applying the exponential to both sides:
In which K is the initial population.
At time t = 0 hours, the population is 300.
This means that K = 300. So
At time t = 24 hours, the population is 1000.
This means that P(24) = 1000. We use this to find the growth rate. So
So
At what time t is the population 500?
This is t for which P(t) = 500. So
The population is of 500 after 10.22 hours.
An exponential parent function is the option C. f(x)= , from the given options.
What do you mean by exponential parent function?
The formula for their parent function is y = , where b is any non zero constant. Below is a graph of the parent function, y =
, which demonstrates that it will never equal 0. And at y = 1 when x = 0, y crosses the y-axis.
According to options in the given question,
We have the option below in the given question:
A. f(x) = 2^x – 3 
B. f(x) = 2^x + 2 
C. f(x) = 2^x 
D. f(x) = 2^x + 1/3
We know from the above definition that the option C. is the right answer to the given question.
Therefore, the exponential parent function is f(x)= .
To learn more about exponential parent function, visit:
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