Determine the component representation and magnitude of the vector having the initial point P and the terminal point Q.P(5, 9) and Q(1, 15)
A. , 2
B. , 2
C. , 52
D. , 52
Answer: A
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Determine whether the sequence is a Fibonacci-type sequence. If it is, determine the next two terms of the sequence.-6, 3, -3, 0, -3 ...
A. Yes; -6, -9 B. Yes; -3, -6 C. No D. Yes; -3, 0
Find the coordinates of the vertices and the foci of the hyperbola. -
= 1
A. V(-8, 0), V(8, 0), F(-10, 0), F(10, 0) B. V(-6, 0), V(6, 0), F(-10, 0), F(10, 0) C. V(0, -6), V(0, 6), F(0, -8), F(0, 8) D. V(0, -8), V(0, 8), F(0, -8), F(0, 8)
Solve the problem. Give the answer to the nearest thousandth if necessary.A long-distance runner runs 4 miles south and then 9 miles east. How far is the runner from the starting point? East --9 mi-->
A. 13 mi B. 9.849 mi C. 5.099 mi D. 10.849 mi
Solve the problem.An economy has three sectors: labor, transportation, and food industries. Suppose the demand on 1 dollar in labor is 35 cents for transportation and 15 cents for food, the demand on 1 dollar in transportation is 55 cents for labor and 31 cents for transportation, and the demand on 1 dollar in food production is 55 cents for labor, 5 cents for transportation, and 33 cents for food. Outside consumer demand for the current production period is 12,000 dollars for labor, 21,000 dollars for transportation, and 12,000 dollars for food. Write an augmented matrix for this economy.
A.
B.
C.
D.