$2,200 people enter an amusement park every hour. How long will it take for 6,600 people to enter the park ?
2 answers:
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Answer:
C. 5
Step-by-step explanation:
Point R divides the line segment PQ internally. The x-coordinate of the point which divides the line segment in ration m:n internally can be calculated as:
Here, x1 is the x-coordinate of 1st point, x2 is the x-coordinate of 2nd point, x is the x-coordinate of point dividing the segment. We have all the values except x2. Using the given values in above formula, we get:
Thus the x-coordinate of point Q will be 5
The x-coordinate of Q is 5.
Answer:
A. see below for a graph
B. f(x, y) = f(0, 15) = 90 is the maximum point
Step-by-step explanation:
A. See below for a graph. The vertices are those defined by the second inequality, since it is completely enclosed by the first inequality: (0, 0), (0, 15), (10, 0)
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B. For f(x, y) = 4x +6y, we have ...
f(0, 0) = 0
f(0, 15) = 6·15 = 90 . . . . . the maximum point
f(10, 0) = 4·10 = 40
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<em>Comment on evaluating the objective function</em>
I find it convenient to draw the line f(x, y) = 0 on the graph and then visually choose the vertex point that will put that line as far as possible from the origin. Here, the objective function is less steep than the feasible region boundary, so vertices toward the top of the graph will maximize the objective function.
For this case we have that by definition, the volume of a rectangular prism is given by:
Where:
It is the area of the base
h: It's the height
According to the data we have:
Then:
Thus, the volume is:
Answer: