Solve the problem. Round your answer, if appropriate.A man 6 ft tall walks at a rate of 4 ft/sec away from a lamppost that is 18 ft high. At what rate is the length of his shadow changing when he is 75 ft away from the lamppost? (Do not round your answer)

A.  ft/sec
B. 1 ft/sec
C. 2 ft/sec
D. 50 ft/sec


Answer: C

Mathematics

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Solve.Find the center, vertices, and foci of the ellipse 16x2 - 128x + 25y2 - 150y + 81 = 0

A. C: (4, 3); V: (-1, 3), (9, 3); F: (0, 3), (8, 3) B. C: (4, 3); V: (3, -1), (3, 9); F: (3, 1), (3, 7) C. C: (4, 3); V: (-1, 3), (9, 3); F: (1, 3), (7, 3) D. C: (4, 3); V: (3, -1), (3, 9); F: (3, 0), (3, 8)

Mathematics

Estimate the answer from the table or graph.A retail store has items such that they fall under the categories of clothes, housewares, jewelry, and other. The percentage floor space allocated for displaying each category of items is shown in the pie chart. If the floor space allocated to clothes is 22,000 ft2, what is the floor space allocated to jewelry?

A. 66,000 ft2 B. 11,000 ft2 C. 44,000 ft2 D. 5500 ft2

Mathematics

Sketch the graph of the quadratic function. Identify the vertex and the axis of symmetry.f(x) = x2 + 3x + 2

A. vertex: 
axis of symmetry: x = 

B. vertex: 
axis of symmetry: x = - 

C. vertex: 
axis of symmetry: x = - 

D. vertex:  
axis of symmetry: x = 

Mathematics

Write the equation of a function that has the given characteristics.The graph of y = , shifted 7 units upward

A. y = 
B. y =  - 7
C. y = 
D. y =  + 7

Mathematics