Let n€N prove by induction that n(n+1) is an even number​

Write a method replacekey in the minheap class with the following signature: public void replacekey(integer oldkey, integer newkey) the method will replace the first occurrence of oldkey with the newkey, and restore the min-heap property after the change. if the oldkey does not exist in the heap, the method prints an appropriate message and returns without changing the heap. example: suppose our binary heap object (bh) has the following keys: *** 4 6 7 32 19 64 26 99 42 54 28 then the method call: bh.replacekey (oldkey integer(54), newkey integer(2))

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

1. you have a small business that is divided into 3 departments: accounting, sales, and administration. these departments have the following number of devices (computers, printers, etc.): accounting-31, sales-28, and administration-13. using a class c private network, subnet the network so that each department will have their own subnet. you must show/explain how you arrived at your conclusion and also show the following: all available device addresses for each department, the broadcast address for each department, and the network address for each department. also, determine how many "wasted" (not usable) addresses resulted from your subnetting (enumerate them).