Answer:
Step-by-step explanation:
The average scores s (on a 100 point scale) for the students can be modeled by
s = 75 - 6 In(t + 1), 0 < t < 12
where t is the time in months.
a) Since the students were given an exam and then retested monthly with equivalent exams, then,
For the original exam, t = 0
Therefore,
s = 75 - 6 In(0 + 1) = 75 - 6 In1
s = 75 - 6 × 0 = 75
b) the average score after 4 months, t = 4
Therefore,
s = 75 - 6 In(4 + 1) = 75 - 6 In5
s = 75 - 9.66 = 65.34
c) s = 60
Therefore,
60 = 75 - 6 In(t + 1)
6 In(t + 1) = 75 - 60 = 15
In(t + 1) = 15/6 = 2.5
t + 1 = e^2.5 = 12.18
t = 12.18 - 1 = 11.18
t = 11 approximately
Answer:
Step-by-step explanation:
1 and 2 are linear pairs
1 and 3 are verticle
4 and 5 are adjacent
Think of it this way: your friend is thinking of a year, and you have to guess which. She has told you the year is in the 20th century (1900s).
There are 100 years in the 20th century (1901-1999 plus 1900).
There can be 100 possibilities
Answer:
f(x) = 8.14x + 300
Step-by-step explanation: