Well...this is a proportion problwm. for every 16 cups I have 1 gallon, so I can write that as:
16 cups
-----------
1 gallon
this value will be proportional to 1/4 a gallon equal "so many" cups. let's equal the unknown about of cups to x.
16 cups______ x cups
-----------.... = ..... ----------
1 gallon _____ 1/4 gallons
I can cross multiply to find x. 
1 gallon • x cups = 16 cups • 1/4 gallons
16 times 1/4 is the same as 16/4, which equals 4.
1 gallon • x cups = 4 cups gallons
divide both sides by gallons
x cups = 4 cups
so! 1/4 of a gallon equals 4 cups. 
        
             
        
        
        
Answer:
a(14)=469762048
Step-by-step explanation:
geometric sequence= a(n)=a*r^(n-1)
   we have:
   a=7
   r=28/7=4
So: 
   a(14)=7*4^(14-1)
          =7*4^(13)
           =469762048
hope this helps 
 
        
             
        
        
        
There are 2 tangent lines that pass through the point 

and

Explanation:
Given: 

The point-slope form of the equation of a line tells us that the form of the tangent lines must be:
 
 ![[1]](https://tex.z-dn.net/?f=%5B1%5D)
For the lines to be tangent to the curve, we must substitute the first derivative of the curve for  :
:



 
 ![[2]](https://tex.z-dn.net/?f=%5B2%5D)
Substitute equation [2] into equation [1]:
 
 ![[1.1]](https://tex.z-dn.net/?f=%5B1.1%5D)
Because the line must touch the curve, we may substitute 

Solve for x:




 ±
 ± 
 ±
 ±  <em> </em>
<em> </em> 
 
There are 2 tangent lines.

and

 
        
             
        
        
        
Answer:
135
Step-by-step explanation:
 
        
             
        
        
        
Some are said more than once but they is 10 different choices together so it’s be ‘1/10 probability’