Compute the value of a v [ 0.5 , 1 ] . av[0.5,1]. what does this value measure geometrically? what does this value measure physically? in particular, what are the units on a v [ 0.5 , 1 ] ?

Popeye produces 20 cans of spinach in 8 hours. wimpy produces 15 hamburgers in 10 hours. if each hamburger trades for 1.5 cans of spinach, then: a.wimpy’s production and productivity are greater than popeye’s. b.popeye’s production is greater than wimpy’s, but his productivity is less. c.wimpy’s production is greater than popeye’s, but his productivity is less. d.popeye’s production and productivity are greater than wimpy’s.

Acolleague from the plant in germany has arrived at the chicago plant to share insights on a recent product line changeover implemented in germany. this changeover has saved thousands of euros at the german facility, but jim does not think it will work in the united states. jim feels that there is a completely different attitude towards work and innovation in the u.s., and in fact, thinks the german facility is technologically behind his plant. additionally, the colleague often mispronounces words when he speaks english, and doesn't dress appropriately for the u.s. office. he showed up to work on the plant floor in a formal suit and tie, with dress shoes that had a slippery sole. however, the colleague is a guest, and it is important that jim pretends to be interested. identify the listening barriers. check all that apply. thought speed grandstanding faking attention nonverbal distractions psychological barriers

Which theorem states that no two species competing for the exact same resources can coexist? which theorem states that no two species competing for the exact same resources can coexist? resource partitioning principle complex community network principle dominance species principle competitive exclusion principle?