Answer:
1655
Step-by-step explanation:
Note the common difference d between consecutive terms of the sequence
d = - 1 - (- 4) = 2 - (- 1) = 5 - 2 = 8 - 5 = 3
This indicates the sequence is arithmetic with sum to n terms
=
[ 2a₁ + (n - 1)d ]
Here a₁ = - 4, d = 3 and n = 90, thus
=
[ (2 × - 4) + (89 × 3) ] = 45(- 8 + 267) = 45 × 259 = 1655
Let's assume time taken by plane on one way distance as 't'
The total flying time in both directions was 10.5 hr
so, time taken in other direction =10.5-t
now, we are given
A plane averaged 500 mph on a trip going east
so, total distance of one way is
total distance of other way is
now, we can that distance is same from both sides
so, we get
now, we can solve for t
now, we can find one way distance
miles..............Answer
Answer:
Step-by-step explanation:
We are asked to find the equation of mid-line of the given sinusoidal function.
Since the mid-line of a sinusoidal function is the line that runs between the maximum and minimum y-values of the function. We can consider it the middle y-value.
We can see from our given graph that the maximum value of our function is 5 and minimum value of our function is -5.
Upon substituting these values in mid-line formula we will get,
Therefore, the equation of the mid-line of the given sinusoidal function is .