A, b and c start at the same time in the same direction to run around a circular stadium. a completes a round in 252 seconds, b in 308 seconds and c in 198 seconds, all starting at the same point. after what time will they again at the starting point ? a. 36 minutes 22 secondsb. 46 minutes 22 secondsc. 36 minutes 12 secondsd. 46 minutes 12 seconds

D. 46 minutes 12 seconds

Step-by-step explanation:

To find the answer, we need to calculate the least common multiple of 252,308 and 198

252=××7

308=×7×11

198=2××11

Then least common multiple is

××7×11=2772 seconds

2772 = 46×60 + 12

Therefore 2772 secondsis equal to 46 minutes 12 seconds.

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.