A camera is accidentally dropped from a helicopter at a height of 4,096 ft. If the equation for height as a function of time is h(t) = -16t^2 + initial height where t is time in seconds and h(t) is height in feet, how

many seconds will it take for the camera to hit the ground?

[?] seconds

9514 1404 393

  16 seconds

Step-by-step explanation:

You want to find t such that h(t) = 0

  h(t) = -16t^2 +4096 . . . equation for height

  0 = -16t^2 +4096 . . . . .equation for height = 0

  16t^2 = 4096 . . . . add 16t^2

  t^2 = 256 . . . . . . . divide by 16

  t = 16 . . . . . . . . . . . take the positive square root

It will take 16 seconds for the camera to hit the ground.

there are 70 more legs than eyes at the dog show (196 – 126 = 70). dogs have two more legs than eyes, and humans have the same number of legs as eyes. thus 70 is twice the number of dogs at the show, so the number of dogs is half of 70, which is 35. to get the number of humans, subtract 35 from 63: 63 – 35 = 28.

step-by-step explanation: