Solve the initial-value problem.


Mathematics

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Factor by any method.245x10 - 45

A. (35x5 - 15)(7x5 + 3) B. 5(49x10 - 9) C. 5(7x5 - 3)2 D. 5(7x5 - 3)(7x5 + 3)

Mathematics

The total weekly revenue (in dollars) of the Country Workshop realized in manufacturing and selling its rolltop desks is given by




where x denotes the number of finished units and y denotes the number of unfinished units manufactured and sold each week. The total weekly cost attributable to the manufacture of these desks is given by



dollars. Determine how many finished units and how many unfinished units the company should manufacture each week in order to maximize its profit. What is the maximum profit(P) realizable?


A. x = 220; y = 80; P = 12,045
B. x = 80; y = 220; P = 12,045
C. x = 300; y = 0; P = 11,800
D. x = 220; y = 80; P = 11,800

Mathematics

Find the mean, median, and mode for the table. The table shows the distribution of households, according to the number of motor vehicles per household. Number ofProportion ofmotor vehicleshouseholds00.1610.2220.3830.1440.095 or more0.01?

A. mean is 1.84; median is 2; mode is 2 B. mean is 1.79; median is 0; mode is 4 C. mean is 1.80; median is 1; mode is 1 D. mean is 1.81; median is 2; mode is 2 E. mean is 1.81; median is 3; mode is 2

Mathematics

Write the SI unit for the abbreviation.82 mL 

A. 82 megalitres B. 82 millilitres C. 82 decilitres D. 82 kiloliters

Mathematics