In a talent competition, half of the contestants are eliminated in each round. at the end of the nth round, 32 contestants remain. if there were 1,024 contestants at the start of the competition, what is the value of n?

5

Step-by-step explanation:

32 = 1024((1/2)^n

(1/2)^n = 32/1024 = 1/32

(1/2)^n = (1/2)^5

step-by-stp

the correct answer is the section c

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."