Afireworks rocket is shot straight up from a 50-foot-high platform at an initial speed of
90 feet per second. as the rocket travels, earth's gravity slows it down.
the height of an object dropped from a height of 50 feet is given by
g(t) = -16t2 + 50.
the distance in feet traveled by an object at a constant speed of 90 feet per second is
given by k(t) = 90t.
these two functions can be combined to build a new function, f, that models the
height of the rocket as a function of time in t seconds.
which choice shows how to combine g and k to build f?

What is the slope of a line that is perpendicular to y = 3x + 1

The volume of gas a balloon can hold varies directly as the cube of its radius. imagine a balloon with a radius of 3 inches can hold 81 cubic inches of gas. how many cubic inches of gas must be released to reduce the radius down to 2 inches?

Juliana says that she can use the patterns of equivalent ratios in the multiplication table below to write an infinite number of ratios that are equivalent to 6: 10. which statement explains whether juliana is correct? she is correct because she can multiply 6 and 10 by any number to form an equivalent ratio. she is correct because 6: 10 can be written as 1: 2 and there are an infinite number of ratios for 1: 2. she is not correct because the multiplication table does not include multiples of 10. she is not correct because 6: 10 is equivalent to 3: 5 and there are only 9 ratios in the multiplication table that are equivalent to 3: 5.