Add the given pair of complex numbers geometrically.z1 = -4 - 9i, z2 = 9 + 7i

A. 0 + 2i
B. 0 - 2
C. 5 + 2i
D. 5 - 2i


Answer: D

Mathematics

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Determine whether the specified paradox occurs.A country with two states has 16 seats in the legislature. The population of each state is given by: A third state is added with 5 additional seats as shown below. Does the new-states paradox occur using Hamilton's method of apportionment?

A. Yes B. No

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Solve for n in the following.8n ? 85 = 89

A. 8 B. 4 C. ?8 D. ?4

Mathematics

Perform the indicated arithmetic.9 + 1

A. 10
B. 11
C. 11
D. 9

Mathematics

Solve the problem. Suppose a student plans to drive from his home to New Haven 75 miles on a divided highway and 30 miles on an undivided highway. The speed limit is 70 mph on the divided highway and 50 mph on the undivided highway. Assume the driver drives nonstop. Let T(a) represent the driving time (in hours) if the student drives at a mph above the speed limits. By finding a formula for T(a), determine by how much the student would need to exceed the speed limits to get to New Haven in 1.5 hours.

A. 7.0 mph B. 9.1 mph C. 7.7 mph D. 8.5 mph

Mathematics