Answer:
Step-by-step explanation:
Set up equation
Step 1: Simplify
Step 2:Multiply by conjugate
Step 3:Simplify
We can reduce this and we must make the imaginary number and real number serpate equations.
Reduce each by 2
7q^2 - 28 = 0
7q^2 = 28
q^2 = 4
q = +/-2
solution set is {-2,2}
Answer:
its is either 339.3 or 1357.2
Step-by-step explanation:
Answer: The constant of proportionality is 5 because the equation would be y=kx but instead of k it has 5.
The population of the bacteria after 7 hours is 230 bacteria.
An exponential function is given by:
y = abˣ
where y, x are variables, a is the initial value of y and b is the multiplier.
Let y represent the population of bacteria after x hours.
Given that he starts his experiment with 200 bacteria, hence
a = 200
The bacteria grow at a rate of 2% per hour, hence:
b = 100% + 2% = 1.02
The exponential equation becomes:
y = 200(1.02)ˣ
After 7 hours:
y = 200(1.02)⁷ = 230
The population of the bacteria after 7 hours is 230 bacteria.
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