Let u and v be subspaces of a vector space w. Define u + v = {z | z = u + v where u ∈ u and v ∈ v} show that u + v is a subspace of w.

Write a numerical expression that satisfies all of the following conditions. 1.)the only number used in the expression is 5 2.)at least one exponent other than 1 is used 3.)when the expression is evaluated, the answer is greater than 40 and less than 50

An animal shelter has 21 puppies. if the puppies are 28% of the total dogs and cat population how many dogs and cats are in the animal shelter

Find the number of positive three-digit even integers whose digits are among 9, 8, 7,5, 3, and 1.