Answer:
Part 1) Geometric sequence
Part 2) 64 minutes or one hour and four minutes to complete station 5. 
Part 3) 512 minutes or 8 hours and 53 minutes to complete station 8. 
Step-by-step explanation:
Trust me. I used my calculator. 
 
        
             
        
        
        
Answer: 12-n=25
-n=25-12
-n=13
Step-by-step explanation:
 
        
             
        
        
        
Answer:
P(t)=25000(1.12)^t
Step-by-step explanation:
If we start with the initial population size, 25,000 people, and keep multiplying by 1.12 this function gives us the population of Madison t years from now: P(t)=25000(1.12)^t
 
        
                    
             
        
        
        
Answer:
B) Independent; the 1st marble selection will not affect the 2nd marble selection.
Step-by-step explanation:
When finding the probability of events in mathematics, we have both independent and dependent events.
Independent events are events that occur when the results of selection of the first events does not affect the results or outcomes of the second events.
Dependent events are the opposite of Independent events. They are events that occur when the results or outcomes obtained from the second events is affected by the results or outcomes from the selection of the first events. 
From the question, we can see that the first event is she picked one marble from the bag. The second event is she replaced the marble before picking another marble. By doing this, the total number of possible outcomes for the probabilities of both events remains the same and they are unaffected.
Therefore, we can say that the two events are Independent because the 1st marble selection will not affect the 2nd marble selection.
 
        
                    
             
        
        
        
<span>Find the equation of the line parallel to the line y = 4x – 2 that passes through the point (–1, 5).
</span>y = 4x – 2 has slope = 4
<span>parallel lines have same slope so slope  = 4
</span><span>passes through the point (–1, 5).
</span><span>y = mx+b
5 = 4(-1) + b
b =9
equation
y = 4x + 9
answer
The slope of y = 4x – 2 is 4
The slope of a line parallel to y = 4x – 2 is  4
The equation of the line parallel to y = 4x – 2 that passes through the point (–1, 5) is y = 4x + 9</span>