now that you know more about the golden ratio, do you believe its common presence shows evidence of a grand design within the universe or is it simply a coincidence? explain why you feel that way.

how does this topic reinforce or change your belief about the application of math to your daily life

In an effort to japan recover from the devastating effects of the 1929 depression, japanese military leaders in the 1930s formed an alliance with nazi germany negotiated more trade treaties with the soviet union closed its doors to western trade adopted a policy of imperialist expansion

Extensive and unusual cold snaps have occurred here recently. is this evidence that global warming is lessening or not occurring? no—although the long-term trend is for warming, short-term weather patterns can still be variable. no—melting of glaciers and ice caps is making the oceans cooler, which can cause cold snaps. yes-- if global warming really were occurring, cold snaps wouldn’t happen. yes—due to global warming, weather patterns should be become less—not more—variable.

Which of the following statements about the us federal boundaries is true