(6) (bonus) here is a proof that for n > 0, 12 22 +..+2" = 2n+1. proof. suppose 1 + 2 + 2 +..+ 2" = 2n+1 for some n > 0. then 2n+12n+1 .. +2" +2"n+1. 1222 using the inductive hypothesis 2(2"+1) 2"+2 2(n+1)+1 as we needed to show. now, obviously there is something wrong with this proof by induction since, for example, 1+222 7, but 22+1 = 23 = 8. what specifically is wrong with the proof?

Need on this geometry question. explain how you did it.

In new york city at the spring equinox there are 12 hours 8 minutes of daylight. the longest and shortest days of the year very by two hours and 53 minutes from the equinox in this year the equinox falls on march 21 in this task you use trigonometric function to model the hours of daylight hours on certain days of the year in new york city a.what is the independent and dependent variables? b.find the amplitude and the period of the function. c.create a trigonometric function that describes the hours of sunlight for each day of the year. d. graph the function you build in part c. e. use the function you build in part c to find out how many fewer daylight hours february 10 will have than march 21. you may look at the calendar.

The ratio of the perimeters of two similar triangles is 4: 3. what are the areas of these triangles if the sum of their areas is 130cm2?