The inclusion/exclusion principle states that

That is, the union has as many members as the sum of the number of members of the individual sets, minus the number of elements contained in both sets (to avoid double-counting).
Therefore, 

 will have the most elements when the sets 

 and 

 are disjoint, i.e. 

, which would mean the most we can can in this case would be

(Note that 

 denotes the cardinality of the set 

.)
 
        
        
        
If the biker is going at the same rate than in 3 hours he should go 34.8 miles
        
             
        
        
        
A "derivative" is a rate of change.
The derivative of a plain old number is zero, since numbers never change.
Pi is a number.  Its value never changes.  Its derivative is zero.
        
                    
             
        
        
        
Answer:
x =105002
Step-by-step explanation:
5x=525010
Divide each side by 5
5x/5=525010/5
x =105002