Evaluate as instructed.Use  and  to evaluate 

A. 0
B. -9
C. 4
D. 10


Answer: D

Mathematics

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Solve the problem.Let u = 9i + j, v = i + j, and w = i - j. Find scalars a and b such that u = av + bw.

A. 9v + w B. 0.2000 v + 0.2500 w C. 9v - w D. 5.000 v + 4.000w

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Use the rules for exponents to rewrite the expression and then evaluate the new expression. 

A. -14 B. -5 C. 0 D. 1

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Solve the problem.A father wishes to distribute 16 pieces of candy among his 3 children (Abe, Betty, and Cindy) based on the number of hours each child spends doing chores around the house. Using a certain apportionment method, he has determined that Abe is to get 9 pieces of candy, Betty is to get 4 pieces, and Cindy is to get 3 pieces. However, just before he hands out the candy, he discovers that he has 17 pieces (not 16) of candy. When he apportions the 17 pieces of candy using the same apportionment method, Abe ends up with 10 pieces, Betty with 5 pieces, and Cindy with 2 pieces. This is an example of

A. the population paradox. B. the Alabama paradox. C. a violation of the quota rule. D. the new states paradox. E. none of these

Mathematics

Write the phrase as a mathematical expression. Use x to represent the number. Combine like terms if possible.A number multiplied by 2, added to -5, subtracted from 2 times the sum of 9 times the number 

A. 2(-5 + x) + 2(9x + 4); 20x - 6 B. 2x - 5 + 2(9 + 4x); 10x + 20 C. 2(-5 + x) + 2(9 + 4x); 6x + 8 D. 2(9x + 4) - [2x + (-5)]; 16x + 13

Mathematics