Suppose a set of 8 numbers are selected from the set {1, 2, …, 13, 14}. show that two of the selected numbers must sum to 15. keyboard_arrow_down solution (b) there are 14 3-digit numbers in a list. can you conclude that there are two distinct subsets of the 14 numbers that have the same sum? justify your answer.

Graph y ≥ -x^2 - 1. click on the graph until the correct graph appears.

Solve the problem. a student earned grades of c, a, b, and a in four different courses. those courses had these corresponding numbers of credit hours: 4, 5, 1, and 5. the grading system assigns quality points to letter grades as follows: a = 4, b = 3, c = 2, d = 1, and f = 0. compute the grade point average (gpa) and round the result to two decimal places. 3.40 3.50 8.75 2.18

Use the spider tool located on page 1 of this activity to draw a 12-pointed star for the new logo. (hint: if the spider rotates 360 degrees -- or 720 degrees or 1080 degrees -- she will be facing in the same direction in which she started. when the spider is done drawing, you want her to be facing in the same direction in which she started. she'll be making 12 rotations, all the same size, so each rotation must be some multiple of 360/12 = 30 degrees.) urgently. been stuck on this problem for around 45 minutes now.! it should be easy if you're smart enough