Solution: The test score that the teacher should expect from a student who did not attend her course is 37.
<u>Explanation:</u>
The teacher's equation for the line of best fit is
We know the equation for the line of the best fit is:
Where:
is slope of the equation. It represents the rate of change in y as one unit change in x.
is the intercept. It represents the expected mean value of y when all x=0.
Therefore, in the given teacher's equation, the slope is 0.7 and intercept is 37.
Here the intercept means the average score of student who who did not attend her course.
Therefore, the test score that the teacher should expect from a student who did not attend her course is 37.
3n (n+1) = 0
3n = 0 or n+1 = 0
therefore, n =0, or n= -1
Answer:
a) The sequence converges to 0
b) The lenght of the curve is
Step-by-step explanation:
Consider the sequence
a) We will prove it using the sandwich lemma. Note that for all n , then
Note that the expressions on the left and the right hand side have a greater degree on the denominator than the one on the numerator. Then, by takint the limit n goes to infinty on both sides, we have that
So, the sequence converges to 0.
b) The function the formula of curve lenght is given by
in this case, a=1, b=6
Note that . Then
. Take u = 1+36x. Then du= 36dx (i.e du/36 = dx). If x = 1, then u = 37 and if x = 6 then u = 217. So,
Answer:
6.43 MPH
Step-by-step explanation:
Divide the time by the distance