Write prolog clauses that define each of the following predicates: a. exactly_3(x) is true if x is a list with exactly three elements. b. at_least_3(x) is true if x is a list with at least three elements. c. at_most_3(x) is true if x is list with at most three elements. hint: use four clauses. d. intersect(x, y) is true if x and y are lists with an element in common. intersect([1,2,3,4],[5,4,1,6]) holds, but intersect([1,2,3,4],[5,6]) does not hold. hint: use member but no recursion. e. all_intersect(z, y) is true if every element of list z is a list x such that intersect(x, y) holds. all_intersect([[1,2,3],[5,4,6]],[3, 4]) holds, and all_intersect([],[3,4]) holds, but all_intersect([[1,2,3],[1,2,5],[5,4 ,6]],[3,4]) does not hold.

Respecting individual differencespre-test active2time remaining48: 47nina is exploring her gender identity and sexual orientationwhich best describes how the role of the media might influence nina during this time in her life? the media would her decide because television shows are always unbiased about gender issues and do notstereotypethe media could make things difficult for her because television sometimes portrays rigid ideas about gender roles.all forms of media will her decide because the media always portrays rigid ideas about gender roles.all forms of media will make things easy for her because the media always portrays open and fair ideas about gender roles.

Write a program that begins by reading in a series of positive integers on a single line of input and then computes and prints the product of those integers. integers are accepted and multiplied until the user enters an integer less than 1. this final number is not part of the product. then, the program prints the product. if the first entered number is negative or 0, the program must print “bad input.” and terminate immediately. next, the program determines and prints the prime factorization of the product, listing the factors in increasing order. if a prime number is not a factor of the product, then it must not appear in the factorization. sample runs are given below. note that if the power of a prime is 1, then that 1 must appear in t

Avariable definition defines the name of a variable that will be used in a program, as well as