Four commuter trains and two express buses depart from city A to city B in the morning, and three commuter trains and two express buses operate on the return trip in the evening. In how many ways can a commuter from city A to city B complete a daily round trip via bus and/or train?

__________ possible ways


30

Mathematics

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Integrate the function. dx

A.  ln   -    + C
B. x + ln   +    + C
C.  ln   - sin-1   + C
D. ln   +    + C

Mathematics

Solve the problem.The gravitational attraction A between two masses varies inversely as the square of the distance between them. If the force of attraction is 4 lb when the masses are 3 ft apart, what is the attraction when the masses are 6 ft apart?

A. 4 lb B. 3 lb C. 1 lb D. 2 lb

Mathematics

Complete the equation so the result is an identity.  + sin2x = 1

A. tan2x B. sin2x C. csc2x D. cos2x

Mathematics

For the pair of functions, find the product (fg)(x).f(x) = 4x + 4, g(x) = -3x - 8

A. -10x2 + 44x - 32 B. -12x2 - 44x - 32 C. -13x2 - 46x - 34 D. 12x2 + 44x - 32

Mathematics