Solve the problem.The motion of a spring-mass system is described by the equation  where y is the distance in feet from the equilibrium position and t is time in seconds. If the weight is 22 feet from the ceiling in a state of equilibrium, find the time at which the weight first passes the equilibrium position.

A. 4 sec
B. 1 sec
C.  sec
D.  sec


Answer: C

Mathematics

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Solve the problem.How many line segments are determined by joining the dots on the last two circles?3 segments6 segments segments segmentsLook for a pattern. How many line segments are determined by joining n dots on a circle? How many line segments are determined by joining 14 dots on a circle?

What will be an ideal response?

Mathematics

Factor the trinomial by grouping.2x2 + 7x + 14x + 49

A. (2x + 7)(2x + 7) B. (x + 7)(2x + 7) C. (2x + 7)(7x + 2) D. prime

Mathematics

Solve for x using an equivalent exponential expression.The drawing shows the end of a building that is to be bricked. If the area of the side of a brick used is  find the number of bricks needed to completely cover the side of the building.

A. 308 bricks B. 51 bricks C. 1,848 bricks D. 2,184 bricks

Mathematics

Solve the problem.A manufacturer makes three different drinks. Drink 1 contains 16% juice and 84% carbonated water. Drink 2 contains 50% juice and 50% carbonated water. Drink 3 contains 84% juice and 16% carbonated water. The manufacturer currently has available 60 liters of juice and 160 liters of carbonated water. Drink 1 sells for $1 per liter, Drink 2 sells for $2 per liter, and Drink 3 sells for $3.80 per liter. How many liters of each drink should the manufacturer make to maximize revenues?

A. 153.5 liters of Drink 1, 60 liters of Drink 2, 30.0 liters of Drink 3 B. 163.5 liters of Drink 1, 40 liters of Drink 2, 40.0 liters of Drink 3 C. 183.5 liters of Drink 1, 0 liters of Drink 2, 36.5 liters of Drink 3 D. 114.8 liters of Drink 1, 20 liters of Drink 2, 26.5 liters of Drink 3

Mathematics