A 33 gram sample has k value of .1124
(Actually I think the problem SHOULD be worded: A 33 gram sample has k value of -.1124/days)
See attached graphic:
Half-Life = ln (.5) / k
Half-Life = -.693147 / -.1124/days
Half-Life =
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6.1667882562
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days
Source:
http://www.1728.org/halflif2.htm
Answer:
A. 
B. 
Step-by-step explanation:
Consider the equation

A. This equation has no solutions when the coefficients at x are the same and the free coefficients are not the same.
First, use distributive property:

So, the equation is

This equation has no solutions when

B. The equation has infinitely many solutions when the coefficients at x are the same and the free coefficients are the same too.
So, the equation

has infinitely many solutions when

In other cases, the equation has a unique solution
1. 64
2.32
3. 16
4. 8
5. 4
6. 2
The answer to the equation is approximately 536.91