Subtract each number from 190 and then you have all of your answers
Answer:
(a) 9 buildings
(b) 2^n -1
Step-by-step explanation:
The number of distinct non-empty subsets of b objects is 2^b -1. Since the subsets are distinct, each could represent a list of the buildings, from the set of b buildings, in which a student is taking courses.
(a) For 8 buildings, 2^8 -1 = 255 students could enroll. for 9 buildings, 2^9-1 = 511 students could enroll.
For 500 students, 9 buildings are required.
__
(b) The maximum number of students for n buildings is ...
2^n -1
Answer:
-4
Step-by-step explanation:
Slope can be found with 
Pick two points on the graph that the line runs through
(-2, 4) will fill the values of x1 and y1, and (-1, 0) will fill the values of x2 and y2
Insert the coordinates into the formula



Therefore the slope is -4
<span>This question tells us that after every three squares, we will place a cork square. So there are 3 normal squares for every cork square. We are also told that there are a total of 12 squares. If we divide the total squares by the number of normal squares for every cork square, we obtain the number of cork squares. 12 / 3 = 4. So there are 4 cork squares.</span>