A Mississippi riverboat can travel 75 kilometers downstream in three hours and can make the return trip in five hours. Find the speed of the boat in still water.
?

A. 30 kph
B. 40 kph
C. 20 kph
D. 25 kph
E. 21 kph


Answer: C

Mathematics

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Find the coordinates of the vertices of the polygon in its new position. ? Original coordinates of vertices: (-5, -3), (-3, 6), (-5, -4), (-4, -7) Shift: three units to the right, four units upward ?

A. (-2, 1), (0, 10), (-2, 0), (-1, -3) B. (1, 1), (0, 10), (-2, 0), (-1, -3) C. (2, 1), (0, 10), (-2, 0), (-1, -3) D. (3, 1), (0, 10), (-2, 0), (-1, -3) E. (4, 1), (0, 10), (-2, 0), (-1, -3)

Mathematics

Find the absolute maxima and minima of the function on the given domain.  on the trapezoidal region with vertices        and  

A. Absolute maximum: 18 at    absolute minimum: 9 at  
B. Absolute maximum: 12 at    absolute minimum: 0 at  
C. Absolute maximum: 15 at    absolute minimum: 9 at  
D. Absolute maximum: 15 at    absolute minimum: 0 at  

Mathematics

Write the product as a sum or difference of trigonometric functions.2 sin 8x sin 17x

A. cos 9x - cos 25x
B. cos 25x + cos 9x
C. (cos 25x + cos 9x)
D. sin 25x + sin 9x

Mathematics

Identify the equation as either an identity or not.tan2x = sec2x - sin2x - cos2x

A. Identity B. Not an identity

Mathematics