Answer:
what do you need help with?
Step-by-step explanation:
 
        
                    
             
        
        
        
Answer:
1. 5040
2. 20
Step-by-step explanation:
1. using the formula for permutation
nPr=n!/(n-r)! 
10P4 = 10!/(10-4)!
=10*9*8*7*6!/6!
then we are left with 
=10*9*8*7
=5040
2.using the formula for combination 
nCr=n!/(n-r)!r! 
6C3=6!/(6-3)!3!
=6*5*4*3!/3!3!
=6*5*4/3*2*1
=20
 
        
             
        
        
        
A half-life of the isotope is 15 days and at start its mass is 32 g.
A table:
              t:                 m:
              0                32 g
             15               16 g
             30                 8 g
             45                 4 g
             60                 2 g
             75                 1 g
In the first column is used an arithmetic sequence ( a 1 = 0, d = 15 ).
In the second column is used a geometric sequence ( a 1 = 32, r = 1/2 )                       
        
             
        
        
        
Answer:
Alex = No B.
Step-by-step explanation:
1) Use Quotient Rule: 

2) Simplify 1 - 3 = 2

3) Use Negative Power Rule: 

 
        
             
        
        
        
Computing the rate we get:

Then, when the assembly line runs at the same rate for 24 hours they will produce:

Answer: Option C) 720.