Convert 28.7251° to degrees, minutes, and seconds. round to the nearest second.

28.7251 =

 28 degrees

 then take the decimal and multiply by 60 to get the minutes

 so 0.7251 *60 = 43.506, use the whole number (43)

 so now you have 28 degrees, 43 minutes

 now take the remaining decimal ( 0.506) and multiply by 60

0.506*60= 30.36

 when you have a decimal left over for the seconds, keep that as is.

 so you now have 28 degrees, 43 minutes and 30.36 seconds

 use ' for minutes and " for seconds

28 degrees 43' 30.36"

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.