Final answer:
To evaluate the expression 5+|3-n| with the values r = -2, n=-3, and t=3, first determine the absolute value of 3-n, which results in 6, then add this to 5 to get the final answer of 11.
Step-by-step explanation:
The student asks to evaluate the expression 5+|3-n| given that r = -2, n=-3, and t=3. To solve this problem, first calculate the absolute value part of the expression <|3-n|>, which becomes |3-(-3)| or |3+3|. The absolute value of 6 is simply 6, because absolute value indicates the distance a number is from 0 on a number line, irrespective of the direction, and is always positive or zero. Therefore, the expression simplifies to 5+6.
Adding these together, 5 plus 6 equals 11. So, the final answer to the expression 5+|3-n| with the provided values is 11.