Answer: 6 m
This statement:
"Jared has run two-thirds of an 18-kilometer race" can be written as an equation:

This means two-thirds of 18 km is equivalent to 12 km
If we substract this value to the total, we have the values of the kilometers left to run:

Therefore the correct option is D
 
        
             
        
        
        
Answer:
A. Cubic binomial.
Step-by-step explanation:
 
        
             
        
        
        
Answer:
The initial mass of the sample was 16 mg. 
The mass after 5 weeks will be about 0.0372 mg. 
Step-by-step explanation:
We can write an exponential function to model the situation. 
Let the initial amount be A. The standard exponential function is given by: 

Where r is the rate of growth/decay. 
Since the half-life of Palladium-100 is four days, r = 1/2. We will also substitute t/4 for t to to represent one cycle every four days. Therefore: 

After 12 days, a sample of Palladium-100 has been reduced to a mass of two milligrams. 
Therefore, when x = 12, P(x) = 2. By substitution: 

Solve for A. Simplify: 

Simplify:

Thus, the initial mass of the sample was: 

5 weeks is equivalent to 35 days. Therefore, we can find P(35): 

About 0.0372 mg will be left of the original 16 mg sample after 5 weeks.