Answer:
8 hours
Step-by-step explanation:
Job v starts at time 0 and completes at time 3.
Job w starts at time 1 and completes at time 4.
Job x starts at time 4 and completes at time 8.
Job y starts at time 8 and completes at time 10.
Job z starts at time 10 and completes at time 15.
The average completion time is (3 +4 +8 +10 +15)/5 = 8 . . . hours.
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<em>Comment on the schedule</em>
Jobs v and x are the only ones completed by the time due. The latest is 8 hours late. If they are scheduled in order of due time, jobs v, w, and y can be completed by the due time; the others will be 4 and 6 hours late.
Answer:

Step-by-step explanation:
Given that:
Little Gull Island Lighthouse shines a light from a height of 91 feet above the sea level.
The angle of depression is unknown.
Distance of the point at sea surface from the base of lighthouse is 865 ft.
This situation can be modeled or can be represented as the figure attached in the answer area.
The situation can be represented by a right angled
in which we are given the base and the height of the triangle.
And we have to find the value of
(Because they are the internal vertically opposite angles).
Using tangent ratio:


Therefore, the angle of depression is: 
Answer:
D.)
15040000 <= k <=19840000
Step-by-step explanation:
V = 1200 -0.00002k
Value V after one year falls in the range of $803.20 and $899.20.
Let's substract these values from 1200.
1200-803.20=396.80
1200-899.20=300.80
So it means that
0.00002k= 396.80
And
0.00002k= 300.80
So
0.00002k= 396.80
K= 396.80/0.00002
K= 19840000
And
0.00002k= 300.80
K = 300.80/0.00002
K= 15040000
So range is between
15040000 <= k <=19840000
To find the time at which both balls are at the same height, set the equations equal to each other then solve for t.
h = -16t^2 + 56t
h = -16t^2 + 156t - 248
-16t^2 + 56t = -16t^2 + 156t - 248
You can cancel out the -16t^2's to get
56t = 156t - 248
=> 0 = 100t - 248
=> 248 = 100t
=> 2.48 = t
Using this time value, plug into either equation to find the height.
h = 16(2.48)^2 + 56(2.48)
Final answer:
h = 40.4736
Hope I helped :)
Given:
The system of inequalities is


To find:
The values of a for which the system has no solution.
Solution:
We have,
...(1)
It means the value of x is less than or equal to 5.
...(2)
It means the value of x is greater than or equal to a
Using (1) and (2), we get

But if a is great than 5, then there is no value of which satisfies this inequality.
Therefore, the system has no solution for a>5.