How do you change your username on this app/website? This is very serious!

Show that there is a language a ⚆ {0, 1} â— with the following properties: 1. for all x â a, |x| ≤ 5. 2. no dfa with fewer than 9 states recognizes a. hint: you don’t have to define a explicitly; just show that it has to exist. count the number of languages satisfying (1) and the number of dfas satisfying (2), and argue that there aren’t enough dfas to recognize all those languages. to count the number of languages satisfying (1), think about writing down all the strings of length at most 5, and then to define such a language, you have to make a binary decision for each string about whether to include it in the language or not. how many ways are there to make these choices? to count the number of dfas satisfying (2), consider that a dfa behaves identically even if you rename all the states, so you can assume without loss of generality that any dfa with k states has the state set {q1, q2, . . , qk}. now think about how to count how many ways there are to choose the other four parts of the dfa.

Create a cell reference in a formula by typing in the cell name or         a. right-clicking the cell. b. clicking the cell. c. clicking the column where the cell is located. d. clicking the row where the cell is located.

The file sales data.xlsx contains monthly sales amounts for 40 sales regions. write a sub that uses a for loop to color the interior of every other row (rows 3, 5, etc.) gray. color only the data area, columns a to m. (check the file colors in excel.xlsm to find a nice color of gray.)