Use the mathematical induction method or subsitution method to solve following recurrences by using big-o notation (a) t(n) = t([n/3] + 12) + n log n (b) t(n) = 2t(2n/7) + n^2

Write a program that reads the file, then displays the average number of steps taken for each month. (the data is from a year that was not a leap year, so february has 28 days.) your program needs to use at least 3 functions not counting main and display the information in a neat well formatted fashion.

The pyraminx is a rubik's cube-type toy in the shape of a tetrahedron (not a pyramid). the pyraminx shown below has edges 15\,\text{cm}15cm15, space, c, m long and vertical height h=12.2\,\text{cm}h=12.2cmh, equals, 12, point, 2, space, c, m. the triangle drawn with dashed lines is a right triangle. what is the distance rrr? round your answer to the nearest tenth.

Awide variety of “ apps “ are available to customize devices. which category of app does the word processing software fall into?