When an object is dropped vertically from a platform, its height after t seconds can be estimated with the formula shown.

h=h0−16t2

h is the height of the object in feet.
h0 is the initial height of the object in feet.
t is the time in seconds after the drop.

Which equation and solution tells how long it takes the object to reach a height of 84 feet if its initial height is 180 feet?

Brittany has designed four different birdcages, each with the same volume: a square pyramid, a cylinder, a cone, and a sphere. the zoo wants to use one of brittany’s designs but plans to change the volume of the cage. find the design change that would result in the birdcage with the greatest volume. a.) increase the area of the base of the square pyramid by a factor of ten. b.) increase the height of the cylinder by a factor of ten. c.) increase the radius of the cone by a factor of ten. d.) increase the radius of a sphere by a factor of ten.