Suppose the number of bacteria are increasing exponentially, We can model the number of bacteria at a given time t, using the formula:
f(t)=ae(tk)
where, k=constant of proportionally and a=initial number;
thus;
f(t)=2000e(0.005t)
Therefore the population after 12 hours will be:
f(12)=2000e^(0.005*12)
f(12)=2,123.67=2,123 bacteria
Y = 2x + 1
y = 2x - 1
so the 1st one has a y int of 1 and the second one has a y int of -1...so the original line will shift down 2 units
Answer: B. f(x)=(x+4)(x-2)^2(x+3)
Step-by-step explanation:
in the graph there's two negative x value and one positive x value
so the function should be in a form of f(x)= (x+a) (x-b)^2 (x+c)
the one with negative value has a square, (x-b)^{2}, because that's where the y = 0 (the point is hitting the (x,0))
Answer:
m = - 1/4
Step-by-step explanation:
When two line is perpendicular to each other the product of them is - 1
So let the other line be B
Gradient of B = t
Gradient of A = 4
therefore m = - 1/4
Answer: 4 minutes
Step-by-step explanation: 1 minute = 44 words so 176 divided by 44 is 4 minutes.
