Problem 4: Consider a single-tape Turing machine that cannot write on its tape, but does have three pebbles on the tape. The pebbles are colored red, green, and blue, and all three are initially on the leftmost tape cell. Each move of this Turing machine works like a standard one (except it cannot write on the tape) with the additional operation of determining which pebbles (if any) are on the tape cell currently being scanned by the head, and optionally moving each of these pebbles one cell to the left or right (pebbles do not have to move in the same direction that the head does, and if there is more than one pebble on the current tape cell, they do not have to more in the same direction). A. Describe how any r. e. set can be accepted by such a Turing Machine. HINT: Simulate a two-counter machine. B. Suppose that the pebbles are not colored and one cannot tell them apart; is it still possible to accept any r. e. set

The width of a piece of rectangular land is 5m shorter rhan 1/3 of its length .find the width of the land if the length is 60m,150m.

This first part of the film shows the early history of motion pictures. how accurate do you think the portrayal of the early motion picture industry is? why? is historical accuracy important in films and theatre productions? explain. in the scene where don is going to the party (starting at time code 14: 51), we see a street scene as he first rides with cosmo and then with kathy. what aspects did the filmmaker include to make the scene look and feel like don, cosmo, and kathy are riding in a car on a street? think about elements such as scenery, sound, props, lighting, and so on. a "talkie" picture is shown starting around time code 21: 15. how does the audience in the film react to the "talkie"? what influence do audiences have on film and theatre performances? how do film and theatre actors influence audiences? in the musical scene with cosmo (starting at time code 27: 00), how does the actor use props? what is the result? do you think the use of props effectively fulfilled the artistic vision for this musical number? why or why not?

Awell-diversified portfolio needs about 20-25 stocks from different categories is this true or false?