Argue that the solution to recurrence t(n) = t(n/3) + t(2n/3) +n is ω(nlgn) by appealing to a recursion tree.

Matlab question: use switch and anythe lottery game matches three different integer numbers between 1 and 10. winning depends on how many matching numbers are provided by a player. the player provides three different integers between 1 and 10.if there is a match of all 3 numbers, the winning $ 1000.if there is a match with 2 numbers, the winning $ 10.if there is a match of all with 1 numbers, the winning $ 1.with no match, the winning is $0.write a function lottery3 that checks three numbers provided by a player and determine the winning amount. if the user mistakenly enters same number twice/thrice and if that number matches one of the winning numbers, the code should count that number only once and display correct result. the player doesn’t have to guess the order of numbers. the input to the function lottery3 can have up to two input arguments. the first input argument is a row array numbers with 3 numbers. if the second argument input testcode is present, and is a row vector of 3 values, the function lottery3 uses the code in testcode as the three winning numbers (the test must be three different integer numbers between 1 and 10), else three different numbers will be automatically generated by testcode. the ouput should return the variable winnings and the three winning numbers in the row array winnumbers. hint: make use of the internal function any. restriction: the function must use switch-case statements to determine the winning. example #1: winning = lottery3( [1,2,1],[1,2,3])produceswinning =10example #2: [winning, winnumbers] = lottery3( [1,2,3])produceswinning =3winnumbers =8 5 3

This graph compares the total cost of attending educational institutions in texas. the graph demonstrates that the cost at private and public technical schools greatly varies.

When early motion pictures played in movie theaters, they were often accompanied by live organ or piano music. which of the following are the most likely reasons that this happened? (select all that apply). the music was provided to distract audience members from the loud sounds made when filmstrips were changed. the music accompanied the movies because the movies were silent and audiences were used to hearing music during plays in theaters. the music usually was played before, and sometimes after the movie, as an alternative form of entertainment. the music viewers to interpret the dramatic action in the films.