Final answer:
To evaluate N(2) for the function N(t) = 4|t+5| + 3, we substitute 2 into the function, compute the absolute value, and perform the arithmetic operations to find that N(2) equals 31.
Step-by-step explanation:
To evaluate the function N(t) = 4|t+5| + 3 for N(2), first substitute the value of t with 2:
N(2) = 4|2+5| + 3
Next we determine the absolute value:
N(2) = 4|7| + 3 = 4 × 7 + 3
Now, perform the multiplication:
N(2) = 28 + 3
Finally, add the numbers to find the value of the function:
N(2) = 31
Therefore, the function evaluated at t = 2 is N(2) = 31.