The length of time (in seconds) a certain individual takes to learn a list of n items is approximated by .

Use differentials to approximate the additional time it takes the individual to learn the items on a list when n is increased from 42 to 45 items. Round to the nearest second.

A. 187 sec
B. 169 sec
C. 193 sec
D. 171 sec


Answer: D

Mathematics

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Solve the equation.16x2 = 4

A. =  
B. = 
C. = 
D. = 

Mathematics

For the given pair of points, find the equation of the line  that goes through the points by solving a system of equations.(8, -9) and (6, -3)

A. y = -3x + 15 B. y = 3x - 33 C. y = 3x - 15 D. y = -3x - 9

Mathematics

Factor out the greatest common factor.-12x3 - 24x2 + 18x

A. -12x(x2 + 2x - 3) B. -6(2x3 + 4x2 - 3x) C. -6x(2x2 + 4x - 3) D. -6x(2x2 - 4x + 3)

Mathematics

Solve the problem.Last year, enrollment at an art school was 19,084 students.(i) Complete the table below to help find an expression that describes the current enrollment if the change in enrollment in the past year is c students. Show the arithmetic to help you see a pattern.(ii) Evaluate the expression you find in part (i) for c = -150. What does your result mean in this situation?

A. (i)

(ii) 19,234; This means that the current enrollment is 19,234 due to an increase in enrollment of 150 students in the past year.
B. (i)

(ii) 113,584; This means that the current enrollment is 113,584 due to an increase in enrollment of 94,500 students in the past year.
C. (i)

(ii) -19,234; This means that the current enrollment is -19,234 due to a decrease in enrollment of 150 students in the past year.
D. (i)

(ii) 18,934; This means that the current enrollment is 18,934 due to a decrease in enrollment of 150 students in the past year.

Mathematics