Consider a complete (thus the hamiltonian cycle exists) weighted graph g, in which the weights are the euclidean distance between nodes. show that the shortest hamiltonian cycle cannot intersect itself.

Anyone know? will mark brainliest if correct!

The volume of gas a balloon can hold varies directly as the cube of its radius. imagine a balloon with a radius of 3 inches can hold 81 cubic inches of gas. how many cubic inches of gas must be released to reduce the radius down to 2 inches?

Plz.yesterday, the snow was 2 feet deep in front of archie’s house. today, the snow depth dropped to 1.6 feet because the day is so warm. what is the percent change in the depth of the snow?