Solve the given applied problem.In a particular classroom with 240 students, the rate y at which a rumor spreads is related to the number of people x who have heard the rumor according to the expression  Determine the rate when 0.6666 of the class will have heard the rumor.

A. 6590
B. 6400
C. 6210
D. 6340


Answer: B

Mathematics

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Solve the initial value problem.Differential Equation:  = (2 sec 2t tan 2t) i + j + t2kInitial Condition: r(0) = 7i + j - 5k

A. r(t) = (csc 2t + 6)i + j + k
B. r(t) = (sec 2t + 6)i  - j + k
C. r(t) = (csc 2t + 6)i + j + (t3 - 5)k
D. r(t) = (sec 2t + 6)i + j + k

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Find the limit of the sequence if it converges; otherwise indicate divergence.an = (-1)n 

A. 0 B. ±6 C. 6 D. Diverges

Mathematics

Solve the problem.A researcher interested in Cleansburg citizens' attitudes toward a revitalized downtown area surveys a randomly selected group of 200 downtown office workers. 66% of those surveyed indicated they are in favor of revitalizing the downtown area. The researcher concluded that "about two thirds of the people in Cleansburg are in favor of revitalizing the downtown area." This conclusion might be invalid because

A. there was no control group. B. the size of the sample is too small. C. 66% is not exactly two thirds. D. the sample is not representative of the population. E. none of these

Mathematics

Complete the table of ordered pairs for the given linear equation; then plot the solution.x - 1 = 0 

A.
 
B.
 
C.
 
D.
 

Mathematics