Answer:
m = 13.
Step-by-step explanation:
Recall that adding logarithmic equations, (ex: log a + log b) is the same as log (a·b). Therefore:
log 12 + log 5 = log (4m + 8) 
log (12·5) = log (4m + 8) 
log (60) = log (4m + 8)  **Ignore 'Log' to solve for 'm'
60 = 4m + 8  **Subtract both sides by 8
52 = 4m  **Divide both sides by 4
m = 13. 
 
        
             
        
        
        
Answer: I used the Pythagorean theorem and got 6.24, but if I was supposed to use another method, just let me know. 
The formula is a^2+b^2=c^2
a=5
c=8
b=?
5^2+b^2=8^2
25+b^2=64
b^2=39
b=6.24,
(If it doesn't work, put x=6.24, x=-6.24. It can be both technically, but most teachers ask only for the first one. )
 
        
             
        
        
        
Answer:
1) 20%
2) Choice a.
Step-by-step explanation:

1)  is the population initially.
 is the population initially.
 is the population after a year.
 is the population after a year.
 represents the population increase factor.
 represents the population increase factor.
So let's evaluate that fraction:
 
 


0.2=20%
2) Let's figure out the population growth in terms of months instead of years.

We want t to represent months.
A full year is 12 months, in a full year we have that 
So we want a new P such that  since 12 months equals a year.
 since 12 months equals a year.
Let's look at the functions given to see which gives us this:
a) 
b) 
c) 
d) 
So a is the function we want.
Also another way to look at this:
 where
 where  is in years.
 is in years.
 where
 where  is in months.
 is in months.
And 
 
        
             
        
        
        
Answer: I think it’s A the cylinder 
Step-by-step explanation:
 
        
             
        
        
        
Answer
 (C) y +5 =3(x+4)
We will use the point-slope formula to solve this problem.
We will use the point-slope formula to solve this problem.(y+5)=3(x+4)
)Explanation:
)Explanation:We can use the point slope formula to solve this problem.
)Explanation:We can use the point slope formula to solve this problem.The point-slope formula states: (y−y1)=m(x−x1)
)Explanation:We can use the point slope formula to solve this problem.The point-slope formula states: (y−y1)=m(x−x1)Where m is the slope and (x1y1) is a point the line passes through.
)Explanation:We can use the point slope formula to solve this problem.The point-slope formula states: (y−y1)=m(x−x1)Where m is the slope and (x1y1) is a point the line passes through.We can substitute the slope and point we were given into this formula to produce the equation we are looking for:
)Explanation:We can use the point slope formula to solve this problem.The point-slope formula states: (y−y1)=m(x−x1)Where m is the slope and (x1y1) is a point the line passes through.We can substitute the slope and point we were given into this formula to produce the equation we are looking for:(y−(−5))=3(x--(4))
 => (<u>y+</u><u>5</u><u>)=3(x</u><u>+</u><u>4</u><u>)</u>