Human breath through bronchi. what structure do insert have for breathing

Which expression is equivalent to 8(k + m) − 15(2k + 5m)?

Sketch one cycle if the cosine function y=2cos2theta

1- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis.2- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in the first question?