Since in this problem, we are dealing with a balloon we can now say that the container or the shape we are dealing with is a sphere. The volume of a sphere is
hence the volume is directly proportional to the radius. The volume increase by a factor of
Answer:
A triangle.
Step-by-step explanation:
The plane would pass through opposite sloping faces of the pyramid and through the base; the shape formed is a triangle.
No, it isn't!
first, the discount is 20 percent of 18 dollars, that is 18/5=3.6
this means that during the first week the prize is 18-3.6=14.4
now, the prize is marked up 20 % of 14.4! this is 2.88
so the prize later will be 14.4+2.88, that is 17.28, not 18
what is relevant here is what a number is a percent OF
Answer:
The slope is 4
Step-by-step explanation:
First we pick 2 points (x, y):
(0, -2) and (1, 2)
Then, we use the slope (m) formula:
m = (y2 - y1)/(x2 - x1)
Given:
y2 = 2
y1 = -2
x2 = 1
x1 = 0
Work:
m = (y2 - y1)/(x2 - x1)
m = (2 + 2)/(1 - 0)
m = 4/1
m = 4
Answer:
1. Objective function is a maximum at (16,0), Z = 4x+4y = 4(16) + 4(0) = 64
2. Objective function is at a maximum at (5,3), Z=3x+2y=3(5)+2(3)=21
Step-by-step explanation:
1. Maximize: P = 4x +4y
Subject to: 2x + y ≤ 20
x + 2y ≤ 16
x, y ≥ 0
Plot the constraints and the objective function Z, or P=4x+4y)
Push the objective function to the limit permitted by the feasible region to find the maximum.
Answer: Objective function is a maximum at (16,0),
Z = 4x+4y = 4(16) + 4(0) = 64
2. Maximize P = 3x + 2y
Subject to x + y ≤ 8
2x + y ≤ 13
x ≥ 0, y ≥ 0
Plot the constraints and the objective function Z, or P=3x+2y.
Push the objective function to the limit in the increase + direction permitted by the feasible region to find the maximum intersection.
Answer: Objective function is at a maximum at (5,3),
Z = 3x+2y = 3(5)+2(3) = 21
