There are as many palindromic 12-bit binary strings as there are permutations with repetition of 6-bit binary strings, which is equal to .
There are also only two permutations with repetition of 6-bit binary strings, that when each of them is mirrored and the result is "glued" to the right side of the original string, will give a palindromic string without 10 as a substring. Those strings are 000000 and 111111.
Therefore there are palindromic 12-bit binary strings with 10 as substring.
The given equation is a wave function. When plotted, the graph is shown in the attached picture. However, the unit is in degrees instead of radians. A unit of π is equivalent to 180°. This plot could determine one variable if the other is given.
First we need to isolate the variable so we add 15 to both sides which is w/4=43 then we need to multiply by 4 to both sides so its 4w=172 then divide by 4 which is 43 so the answer is w=43