It takes him 17 minutes to make each shoe.
<em>How to Solve: </em>
- take away the 30 min lunch break from the time becomes 11:45 to 4:00
- calculate the distance from 11:45 to 4:00 which is 4 hours and 15 minutes to complete each shoe.
- Convert the hours into 60 minutes each so 60*4= 240 now add the extra minutes 240+15= 255 minutes
- Now divide that bye 15 shoes 255/15= 17 minutes
- So it takes 17 minutes to make each shoe. :)
Given:
The two functions are:


To find:
The statement that best compares the graph of g(x) with the graph of f(x).
Solution:
The horizontal stretch is defined as:
...(i)
If
, the function f(x) is horizontally stretched by factor
.
If
, the function f(x) is horizontally compressed by factor
.
We have,


Using these functions, we get
...(ii)
On comparing (i) and (ii), we get

Since
, the function f(x) is horizontally stretched by factor
.
Hence, the correct option is D.
Answer:
Step-by-step explanation:
QR = 27 ÷ 2 = 13.5
Horizontal distance = 48'
difference in elevation = 18"-6" = 12" = 1'
Slope of the sewer line = rise/run = 1/48 = 0.0208 = 2.08%
The answer is 24.4 degrees