Simplify the expression. First use the distributive property to remove any parentheses.(11z + 4) - (3z - 1)
A. 14z + 5
B. 8z + 5
C. 8z - 5
D. 8z + 3
Answer: B
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Find the gradient ?f.f(x, y, z) = xy3ex + z
A. ex + z[(xy3 + y3)i + 3xy2j + k] B. (xy3ex + y3)i + 3xy2ex + zj + ezk] C. ex + z[(3xy2 + y3)i + 3xy2j + k] D. (xy3ex + z + y3ex + z)i + 3xy2ex + zj + ezk]
A small country consists of four states (State 1, State 2, State 3, and State 4). The total population of the country is 200,000. The standard quotas are q1 = 64.8, q2 = 89.9, q3 = 39.6, and q4 = 5.7 respectively.The population of State 1 is
A. 129,600. B. 89,900. C. 64,800. D. 32,400. E. none of these
For the pair of functions, find the indicated sum, difference, product, or quotient.f(x) = 16 - x2; g(x) = 4 - xFind (f + g)(x).
A. -x2 + x + 12 B. x3 - 4x2 - 16x + 64 C. 4 + x D. -x2 - x + 20
Find the angle between vectors v and w. Round the answer to the nearest tenth of a degree.v = 
, w = 
A. 161.6° B. -71.6° C. 18.4° D. 55.3°