Two sisters, Anna and Bailey, are going to have a timed 10 second running race. Anna is always quick out of the blocks but loses steam toward the end. Bailey starts slowly and continues her acceleration through the entire race. Anna's velocity is given as:
VA(t) = 10t - t^2 ft/s
and Bailey's velocity is given by
VB(t) = 4t ft/s
(a) Graph the two velocity functions on the same axis and calculate where the two functions intersect.
(b) From the graph, can you determine the time at which Anna has his largest lead?

Beryl states that insulation with the smallest possible thermal conductivity is best to keep a house warm in winter, but worst for keeping a house cool in summer. sapphire insists the reverse is true: low thermal conductivity is good in the summer, but bad in the winter. which one, if either is correct? a. beryl, because low thermal conductivity results in low heat transfer. b. beryl, because low thermal conductivity results in high heat transfer. d. sapphire, because low thermal conductivity results in high heat transfer. e. neither, because low heat transfer is desirable both in summer and in winter.