Could you zoom in more I can barely see the equation and model.
Answer:
38
Step-by-step explanation:
The simplest (almost trivial) solution is to add the two inequalities:
(x +3y) +(3x +2y) ≤ (13) +(25)
4x +5y ≤ 38
The maximum value of P is 38.
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Perhaps more conventionally, you can graph the equations, or solve them to find the point of intersection of their boundary lines. That point is (x, y) = (7, 2), which is the point in the doubly-shaded solution space that gives the maximum value of P (puts the objective function line farthest from the origin).
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In the attached graph, we have been a little sloppy, not applying the constraints that x, y ≥ 0. For the purpose of finding the requested solution, that is of no consequence.
0.02
1/8 = 0.125
2/3 = 0.667
least to greatest : 0.02, 1/8, 2/3....although, u have only listed 3 insects, not 4
Answer:
890.1 cm^3
Step-by-step explanation:
The volume of the cylinder is given by the formula ...
V = πr^2h
Filling in the given numbers, we find the volume of the cylinder to be ...
V = π(5 cm)^2(8 cm) = 200π cm^3
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The volume of a hemisphere is given by the formula ...
V = (2/3)πr^3
Filling in the given radius, we find the hemisphere volume to be ...
V = (2/3)π(5 cm)^3 = 250π/3 cm^3
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The total volume of the toy is presumed to be the sum of these volumes, so is ...
toy volume = (200π cm^3 +250π/3 cm^3) = 850π/3 cm^3
toy volume ≈ 890.1 cm^3