Once you remember the definition of a log, the answer to this question will literally fall out of your pencil.
First, ' Ln ' means 'natural log' ... logs to the base of ' e '.
Definition of the natural log of a number:
In order to get the number, what power do I have to raise ' e ' to ?
OK. What power do you have to raise ' e ' to in order to get 1/e² ?
Isn't 1/e² the same thing as e⁻² ?
So, in order to get 1/e² , you have to raise ' e ' to the -2 power .
In math-speak: Ln(1/e²) = <em><u>-2</u></em> .
Answer:
(2.54×12) ×5280
Step-by-step explanation:
Since there are 2.54cm in an inch, multiply 2.54 by 12 to find out how many cm there are in a foot. Then you multiply that by 5280
Answer:
5
Step-by-step explanation:
The function
is
- decreasing for all

- is increasing for all
![x\in (0,2]](https://tex.z-dn.net/?f=x%5Cin%20%280%2C2%5D)
(see attached diagram for details).
The maximum value of the function is at endpoints -3 or 2. find y(-3) and y(2):

So, the maximum value is 5.
Answer:
see below
Step-by-step explanation:
Consider the rule y = 5x + 7.
a. How many tiles are in Figure 0?
In figure 0, we let x=0
y = 5*0+7 = 0+7 = 7
b. Which figure has 37 tiles?
This means y = 37
37 = 5x+7
Subtract 7 from each side
37-7 = 5x+7-7
30 = 5x
Divide by 5
30/5 = 5x/5
6 =x
Figure 6 has 37 tiles
c. In the equation y = mx + b, what do the letters m and b represent?
m is the slope or how much it is increasing each time x increases by 1 and b is how much we start with when x =0