In a network of straight-line tunnels, emergency lights will be installed at select intersections, points where several tunnels meet. The goal is that from every intersection, at least one light should be visible. You can see the light at the intersection where you are standing, and any light at the other end of a tunnel. You are given the network with n intersections, and asked whether installing k lights is enough. Required:
Prove this problem is NP-complete.

Howard is designing a chair swing ride. the swing ropes are 5 meters long, and in full swing they tilt in an angle of 29° outside chairs to be 2.75 m above the ground in full swing.

One of your customers wants you to build a personal server that he can use in his home. one of his concerns is making sure he has at least one backup of their data stored on the server in the event that a disk fails. you have decided to back up his data using raid. since this server is for personal use only, the customer wants to keep costs down. therefore, he would like to keep the number of drives to a minimum. which of the following raid systems would best meet the customer's specifications? a. raid 0 b. raid 1 c. raid 5 d. raid 10

Now, open this passage to read about fafsa requirements. describe the information you will need to provide in order to complete a fafsa. list at least three of the required documents you must include.