Part 1 - Write the ingredients list to a file (10 points) Modify the program you developed for Lab 5 to make it output the data in the same format to a text file cake_ingredients_list. txt Note: Writing to a file is easier to code, so let's do that first. Hints: After the file has been opened, call the .write() function to write one line at a time to the file, in almost the exact fashion as calling print

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.

Complete the sentence based on your knowledge of the professional difficulties faced by music artists. digital technology allows audiences to see free live telecasts of music or dance performances through

Luis is cloud-based( microsoft bot framework). true false