Find the maximum value of P = x + 4y subject to the constraints
D) 19
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Solve the problem.A summer camp consists of several lodges, dining rooms and bath houses, represented by the vertices on the graph below. These buildings are linked by gravel pathways whose lengths in yards are also indicated on the graph. The gravel paths become very muddy when it rains, so the camp owners wish to pave certain paths so that it is possible to walk between any two buildings without having to walk on a gravel path. Use Kruskal's algorithm to determine which paths should be covered in order to minimize the total length of paved paths. Also, determine the minimum total length of pathways that must be paved.
What will be an ideal response?
Convert the base-ten number to a number in the indicated base.13,562 to base eight
A. 32,327eight B. 23,272eight C. 32,372eight D. 23,227eight
Solve the problem.To find the height of this tree, Sarah marked the tree at eye level, 1.8 meters above the ground. She measured 36 m from the base of the tree and then held a 5-cm ruler vertically in front of her eye until the ruler just obscured the tree above the mark. Using a string tied through a hole in one end of the ruler, Sarah found that the distance from her eye to the ruler was 4.8 centimeters. What was the height of the tree? Round to the nearest unit.
A. 35 m B. 39 m C. 37 m D. 41 m
?ABC has vertices A(0, 0), B(6, 0) and C(2, 8).
(a) Sketch ?ABC and its image, ?A'B'C', under the size transformation with center A and scale factor 2.5.
(b) What are the coordinates of A', B' and C'?
(c) If a point has coordinates (a, b), what are the coordinates of its image under this size
transformation?