A triangular prism. The base of a triangular side is shaded. What are the possible shapes of cross sections of this figure? A cross section formed by a plane that intersects the prism parallel to its base would take the shape of a . A cross section formed by a plane that intersects the prism perpendicular to its base would take the shape of a .

Consider the following generator matrix: g= (1 0 0 0 1 0 0 0 1 1 1 1 1 0 1 1 1 0) find all the codewords generated by this generator matrix. determine the number of errors that this code will detect. determine the number of errors that this code will correct. prove that a linear code's minimum weight is equivalent to its minimum distance. that is, where c is a linear code, dist(c) = wh(c)

Write a program called assignment3 (saved in a file assignment3.java) that computes the greatest common divisor of two given integers. one of the oldest numerical algorithms was described by the greek mathematician, euclid, in 300 b. c. it is a simple but very e↵ective algorithm that computes the greatest common divisor of two given integers. for instance, given integers 24 and 18, the greatest common divisor is 6, because 6 is the largest integer that divides evenly into both 24 and 18. we will denote the greatest common divisor of x and y as gcd(x, y). the algorithm is based on the clever idea that the gcd(x, y) = gcd(x ! y, y) if x > = y and gcd(x, y) = gcd(x, y ! x) if x < y. the algorithm consists of a series of steps (loop iterations) where the “larger” integer is replaced by the di↵erence of the larger and smaller integer. this continues until the two values are equal. that is then the gcd.

What are two of the most common reasons that peolpe who need mental health care do not access it?