Write the expression in the standard form a + bi.(8 + 9i)(3 - 4i)

A. 60 + 5i
B. -36i2 - 5i + 24
C. 60 - 5i
D. -12 + 59i


Answer: C

Mathematics

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Solve the problem.The sale price on an outfit Jan wanted was a 5-digit palindromic number, say $abc.de, satisfying the given conditions: Jan would never pay over $200.00;b, c, and d are all multiples of 3;c = (d + b) - 12;the sum of all the digits is a multiple of 13;a + e = (b + d) - 16; and c = 3(a + e).What amount does she owe the salesperson?

A. $193.91 B. $136.31 C. $196.91 D. $296.92

Mathematics

Solve the problem.In hockey, a defenseman's plus/minus record (+/- total) determines his success. If he is on the ice for a goal by the opposing team, he gets a -1. If he is on the ice for a goal by his team, he gets a +1. Suppose that over four games, a defenseman has +/- totals of +2, -1, -1, and +4. What is the player's average  for the four games?  

A. +3 B. -1 C. +1 D. 0

Mathematics

Simplify and then, if appropriate, write in radical notation. (9k2m-4)1/2

A. 3km2
B. 2km2
C.
D.  

Mathematics

Provide an appropriate response.The probability that an assembly line operation works correctly depends on whether it worked correctly the last time it was used. There is a 0.91 chance that the line will work correctly if it worked correctly the time before and a 0.68 chance that it will work correctly if it did not work correctly the time before. After setting up a transition matrix with this information, find the long-run probability that the line will work correctly.

A. [0.802 0.198] B. [0.883 0.117] C. [0.883 0.883] D. [0.117 0.883]

Mathematics