Answer:
See explanation
Step-by-step explanation:
We want to show that:

One way is to use the basic double angle formula:


We simplify further to get:

We simplify again to get;

This finally gives:

Answer:
I don't exactly know what the question is here
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.
a discrete graph (I had to look this one up)
Answer:
November 13
Step-by-step explanation:
Following dates are given
On November 10 = Merchandise ordered
Date of an invoice prepared, dated and mailed = November 13
Date when the merchandised received by the buyer = November 18
So, the credit period begins when the invoice is prepared, dated and the mailed by the seller to the buyer as it is the evidence of that the merchandise is ordered