Answer:
Step-by-step explanation:
Given that,
Cells are divided into two cell every 20mins, this implies that the half-life is 20mins
Initial population growth is 60cells
Growth rate r?
Population growth is modeled as
P(t) = Po•exp(rt)
Where,
Po is the initial growth at t= 0
Po= 60
P(t) is population at any time t.
Since the population doubles every 20mins(⅓hr)
Then, P(⅓) = 2×60 =120
Then, P(t) = 120cells
So, applying the formula
P(t) = Po•exp(rt)
120 = 60•exp(⅓r)
120/60 = exp(r/3)
2 = exp(r/3)
Take In of both sides
In(2) = r/3
Cross multiply
r = 3In(2)
r = 2.079 /hour
The growth rate is 2.079/hour.
Answer:
70.86 degrees
Step-by-step explanation:
cos x = adjacent side / hypotenuse
= 2/6.1 = 0.32787
x = 70.86.
Answer:
x= -3+√2 or x= -3-√2 ( answer : A and B )
Step-by-step explanation:
hello :
x²+6x+9 = (x+3)².....identity
x²+6x+9 =2 means : (x+3)²=2
so : (x+3 = √2) or (x+3 = - √2)
so two solutions :
x= -3+√2 or x= -3-√2
Answer:
A = ((a+b)/2)h
Step-by-step explanation:
a and b are base (the top and bottom)
h is height
The vertex is (3,0).
The 3 inside the abs val bar tells you the x value of the vertex is 3. No number outside the abs value bar is a +0 which is the y value of the vertex.
