Danica is creating a flyer for her cookies that she will sell during her school fair. she wants to add a registered symbol next to the name of her family's company, grandma's kitchen. how can danica tell word where she wants the symbol to be inserted?

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.

You have read about the beginnings of the internet and how it was created. what was the internet originally created to do? (select all that apply) share research. play games. communicate. share documents. sell toys

How can improving one’s reasoning skills also improve one’s performance on the job?