A pendulum is swinging next to a wall. The distance D(t) (in cm) between the of the pendulum and the wall as a function of time t (in seconds) can be modeled by a sinusoidal expression of the form a * sin (b * t) + d

At t = 0, when the endulum is exactly in the middle of its swing, the bob is 5 cm away from the wall. The bob reaches the closest point to the wall, which is 3 cm from the wall, 1 second later.

Find D(t).
(T should be in radians)

Which statement accurately explains whether a reflection over the y-axis and a 270° counterclockwise rotation would map figure acb onto itself? a coordinate plane with figure acb with point a at 1, 1, c at 3, 4 and b at 5, 1 yes, a″c″b″ is located at a″(1, 1), c″(4, 3), and b″(1, 5) yes, a″c″b′ is located at a″(1, 1), c″(3, 4), and b″(5, 1) no, a″c″b″ is located at a″(1, 1), c″(4, 3), and b″(1, 5) no, a″c″b″ is located at a″(1, 1), c″(3, 4), and b″(5, 1)

24m^2n+30mn^2+18mn, a sweet challenge!

The least common denominator of 4/8 and 11/18