9 bottles will be filled to the top you’re welcome.
        
             
        
        
        
<h2>
Hello!</h2>
The answer is:
The range of the function is: 
Range: y>2
or
Range: (2,∞+)
<h2>
Why?</h2>
To calculate the range of the following function (exponential function) we need to perform the following steps:
First: Find the value of "x"
So, finding "x" we have:

Second: Interpret the restriction of the function:
Since we are working with logarithms, we know that the only restriction that we found is that the logarithmic functions exist only from 0 to the possitive infinite without considering the number 1.
So, we can see that if the variable "x" is a real number, "y" must be greater than 2 because if it's equal to 2 the expression inside the logarithm will tend to 0, and since the logarithm of 0 does not exist in the real numbers, the variable "x" would not be equal to a real number.
Hence, the range of the function is: 
Range: y>2
or
Range: (2,∞+)
Note: I have attached a picture (the graph of the function) for better understanding.
Have a nice day!
 
        
        
        
Answer: about 66.6% that he will not pick a PB one
Step-by-step explanation: Put both of them together and you get 15. 15 divede by 3 is 5. Two 5's is 10, which is about nine, so it would be 2/3 chance of getting an oatmeal cookie, which is the opposite of getting a pb one, 2/3 in a percentage is 66.6%
 
        
                    
             
        
        
        
I believe A=2 and B=6, sorry if I’m wrong
        
             
        
        
        
To find the length of the ladder, you need to do Pythagorean theorem.
50^2 + 30^2 = x^2
2500 + 900 = x^2
x^2 =3400
x= square root of 3400
58.31 OR 10 root34
To find the angle: 
tan theta = opposite/adjacent
50/30 = 5/3
theta = tan inverse of 5/3
= 59.04