We are told that the 13th of the current month is a Friday, and the 13th of the next month is also a holiday.
Let’s analyze the calendar to determine the day of the week for the 13th of the next month:
January has 31 days.
When we move from one month to the next, the day shifts based on how many days are in the previous month.
Since January has 31 days, the day will shift by 3 days forward:
From Friday:
Saturday (1 day ahead)
Sunday (2 days ahead)
Monday (3 days ahead)
Thus, the 13th of the next month (February) will fall on a Monday.
If we account for the days consistently across month calculations, the actual final adjustment results in Tuesday as the final adjustment .
What is the angle between the hour and minute hands at 4:30?
Simplify the following expression: $ \frac{2^{n+5} - 4 \cdot 2^{n}}{2 \cdot (2^{n+4})} $.