Complete the sentence so the result is an identity. Let x be any real number.1 +    = csc2x

A. sin2x
B. sec2x
C. cot2x
D. cos2x


Answer: C

Mathematics

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Solve the problem.How do you measure 6 minutes with a 7-minute hourglass and a 5-minute hourglass? Assume that the hourglasses can only measure 7-minute and 5-minute intervals, respectively, and cannot be used to measure other time intervals.

What will be an ideal response?

Mathematics

Solve the problem.The price per unit of a product is p and the number of units of the product is denoted by q. The demand function for this commodity is given by p = . Describe the transformations needed to obtain the graph of this function from the graph of p = .

A. Shift up 60 units and stretch vertically by a factor of 4000. B. Shift 60 units to the left and stretch vertically by a factor of 4000. C. Shift 60 units to the right and stretch vertically by a factor of 4000. D. Shift 60 units to the left and shift up 4000 units.

Mathematics

Solve the problem.BJ can overhaul a boat's diesel inboard engine in 15 hours. His apprentice takes 30 hours to do the same job. How long would it take them working together assuming no gain or loss in efficiency?

A. 10 hr B. 45 hr C. 4 hr D. 6 hr

Mathematics

Solve. The balance in your checking account is $739. You write checks for $49, $35, and $135. You then deposit $141 from your paycheck. What is your new balance?

A. $651 B. $379 C. $661 D. $1099

Mathematics