Provide an appropriate response.The table shows the number of pupils per teacher in selected counties in a certain state. Which counties have a figure greater than 14.7?

A. Addison, Branson, Cumberland, Kendall
B. Addison, Cumberland, Kendall
C. Addison, Cumberland, Dixson, Kendall
D. Addison, Branson, Cumberland


Answer: B

Mathematics

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Find the gradient field of the function.f(x, y, z) = x8y10 + 

A. ?f = 8x7y10i + 10x8y9j - k
B. ?f = i + 10x8y9j - k
C. ?f = (8x7 + 5x4)i + 10y9j - k
D. ?f = (8x7 + 5x4)i + 10y9j + k

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Determine convergence or divergence of the alternating series.

A. Diverges B. Converges

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Evaluate the integral. dz

A. -  csc  + C
B. csc  + C
C. -csc  + C
D. -cot  + C

Mathematics

Solve the problem.The grading scale for a C in Amy's biology class is an average on tests between 70% and 80%, inclusive. Amy has 66%, 85%, and 76% on the first three tests this semester. What range of scores on the fourth test would give her a C?

A. Between 53% and 93%, inclusive B. 88% or better C. Between 70% and 80%, inclusive D. Between 58% and 88%, inclusive

Mathematics