Determine the component representation and magnitude of the vector having the initial point P and the terminal point Q.P(5, 1) and Q(11, 6)
A. 
, 61
B. 
, 
C. 
, 
D. 
, 61
Answer: C
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Use DeMorgan's laws or a truth table to determine whether the two statements are equivalent.p ? q, ~(~p ? ~q)
A. Not equivalent B. Equivalent
Solve the problem.In how many ways can you exactly cover the last two diagrams with "dominoes" that are just the size of two small squares?
Use inductive reasoning to investigate the number of ways that a 2 × n strip can be exactly covered with "dominoes".[Hint: consider the Fibonacci numbers F1 = 1, F2 = 1, F3 = 2, F4 = 3, F5 = 5, F6 = 8, F7 = 13, . . . ]
A. 10 ways; 28 ways
The number of ways that a 2 × n strip can be exactly covered with "dominoes" is given by 
B. 8 ways; 34 ways
The number of ways that a 2 × n strip can be exactly covered with "dominoes" is given by the Fibonacci number Fn
C. 8 ways; 34 ways
The number of ways that a 2 × n strip can be exactly covered with "dominoes" is given by the Fibonacci number Fn+1
D. 9 ways; 15 ways
The number of ways that a 2 × n strip can be exactly covered with "dominoes" is given by 2n - 1
Solve the problem.A hot-air balloon is rising vertically 10 ft/sec while the wind is blowing horizontally at 4 ft/sec. Find the angle that the balloon makes with the horizontal.
A. 34.3° B. 68.2° C. 21.8° D. 52.8°
Solve the problem. Use 3.14 for ?.A figure skater must trace a figure eight on the ice that consists of two perfect circles, each with a radius of 
How far does the skater go one time around the figure eight?
A. 35.68 ft B. 150.72 ft C. 37.68 ft D. 75.36 ft