If you wanted to make certain numbers in a spreadsheet stand out, you should

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.

2. fabulously fit offers memberships for$35 per month plus a $50 enrollmentfee. the fitness studio offersmemberships for $40 per month plus a$35 enrollment fee. in how many monthswill the fitness clubs cost the same? what will the cost be?

Open this link after reading about ana's situation. complete each sentence using the drop-downs. ana would need a minimum of ato work as a translator. according to job outlook information, the number of jobs for translators willin the future.