Answer:
8 months 
Step-by-step explanation:
12/3 = 4, 1/3 is 4 so 1/3 + 1/3 = 2/3 or 8
 
        
             
        
        
        
Answer:
A) Suppose we have an onedimensional situation.
in the 0 of our x-axis, we have a fruit tree, and we want to rest at a distance no bigger than 6 ft of the tree, then all the possible positions of our resting place are:
x ∈(-6ft, 6ft)
we can write this as: IxI < 6ft
b) now we think the opposite situation, we want to rest at least 6ft away from the tree, then we have that:
x ∉  [-6ft, 6ft].
or IxI > 6ft.
So you can see that the difference in those two cases is if we want to be "inside a given range" (for the first case) or "outside a given range" (for the second case).
 
        
             
        
        
        
Answer:
35/100
Step-by-step explanation:
it would be 7/20 because both the numerator and denominator are divisible by the number 5.
 
        
                    
             
        
        
        
Let's find the derivative of that hyperbola in order to find a slope formula to help us with this equation.  We already have an x and y value.  The derivative is found this way:  

 so  

.  The derivative supplies us with the slope formula we need to write the equation.  Sub in the x value of 3 to find what the slope is: 

.  So in our slope-intercept equation, x = 3, y = 1, and m = -1/3.  Use these values to solve for b.  

  so b = 2.  The equation, then, for the line tangent to that hyperbola at that given point is 
 
 
        
        
        
Answer:

Step-by-step explanation:
Simplify the expression and you will get this.
hope this helps