Antonio's toy boat is bobbing in the water under a dock. The vertical distance H (in cm) between the dock and
the top of the boat's mast t seconds after its first peak is modeled by the following function. Here, t is entered in
radians.
H(t) = 5 cos (+) - 35.5
How long does it take the toy boat to bob down from its peak to a height of -35 cm?
Round your final answer to the nearest tenth of a second.

Let the closed interval [a , b] be the domain of function f. the domain of f(x - 3) is given by (a) the open interval (a , b) (b) the closed interval [a , b] (c) the closed interval [a - 3 , b - 3] (d) the closed interval [a + 3 , b + 3]

There are 15 plates and each plate is either 7 or 12 inches diameter. which systems of equations do you use to find the number of 7 inch plates, x and 12 inch plates, y

City l has a temperature of −3 °f. city m has a temperature of −7 °f. use the number line shown to answer the questions: number line from negative 8 to positive 8 in increments of 1 is shown. part a: write an inequality to compare the temperatures of the two cities. (3 points) part b: explain what the inequality means in relation to the positions of these numbers on the number line. (4 points) part c: use the number line to explain which city is warmer. (3 points)