A ring buoy is dropped into the water at t=0 seconds. The buoy's height h relative to the water surface in feet is modeled by the quadratic function h(t)=2(2t−1)(2t−3). The graph of h(t) is given below, with the water surface at h=0. A function is graphed on a two quadrant coordinate plane. The horizontal t-axis goes from 0 to 2.5 in increments of 0.5 and the vertical h of t-axis goes from negative 3 to 7 in increments of 2. From left to right, a curve starts at (0, 6), falls at a decreasing rate, passing through (0.5, 0), reaches a minimum at (1, negative 2), rises, and ends at (1.5, 0). All points are plotted and labeled. All coordinates are approximate.

Which of the following statements is a correct description based on the graph of h(t)?

The buoy is on the water surface at t=6 seconds.

The buoy reaches its deepest point of 1 foot underwater at t=2 seconds.

The buoy hits the water surface at t=0.5 seconds.

The buoy is dropped from 1.5 feet above the water level.

x=4

step-by-step explanation:

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).

i believe your answer is 99.7% of 7-year-old children are between 46.6 inches and 49.5 inches tall.

step-by-step explanation:

a child is 12 years old, and his father is 32 years older. in how many years will the age of the father be 2 times the age of the child?

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this needs to be the answer format, or else your answer is incomplete.

if the number of years is x, then the equation is

in __ years