Critical thinking: buses on your route run every 9 minutes from 6: 00 am to 10: 00 am. you get to the bus stop at 7: 16 am,…
a. what is the maximum amount of time you should have to wait for the bus?
b. how many minutes after the buses begin running at 6: 00 am, do you arrive at the bus stop?
c. what time does the first bus of the day arrive at the bus stop?

Taking 6:00 AM as the starting point and time in minutes from the starting point, You get to the bust stop at 76 min.

(a) Every 9 minutes, bus run from the bus stop. So the last bus was on 72 min. So you are 4 min late. Therefore you have to wait for, 9 - 4 = 5 min.

(b) As shown earlier, you arrived 76 min after the buses begin running.

(c) The first time is 9 minutes after the starting time, which is 6:09 AM.

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F = 3/r.

The formula for the volume of a cylinder is

V=πr²h.  We know that h=2r, so this gives us:

V = πr²(2r) = 2πr³

The surface area of a cylinder is the sum of the areas of all of the faces.  The bottom and top are circles, whose areas are both given by A=πr².  The lateral area of a cylinder is given by the circumference multiplied by the height.  C = 2πr, and the height is 2r, so the lateral area would be

A=(2πr)(2r)= 4πr².  This gives us a total surface area of

SA = 4πr²+πr²+πr² = 6πr².

The ratio of surface area to volume would be:

SA/V = 6πr²/2πr³.  After simplifying, we have f=3/r.