Which of the following is a reason conflicts over zoning decisions can become a divisive issue?
a.
Zoning decisions are often wrong and result in significant financial hardship for a city.
b.
Zoning decisions do not always change over time and can become antiquated.
c.
Establishing zoning types is an expensive process.
d.
Zoning regulations prevent new businesses from competing with established businesses.
Please select the best answer from the choices provided
A
B
C
D
3 answers
D
a rocket is launched from atop a 65-foot cliff with an initial velocity of 113 ft/s. the height of the rocket above the ground at time t is given by h= -16t^2+113t+65. when will the rocket hit the ground after it is launched? Round to the nearest tenth of a secound
When the rocket hits the ground, its height will be 0. So we can set h = 0 and solve for t:
0 = -16t^2 + 113t + 65
We can use the quadratic formula to solve for t:
t = (-b ± sqrt(b^2 - 4ac)) / 2a
In this case, a = -16, b = 113, and c = 65. Substituting these values into the formula, we get:
t = (-113 ± sqrt(113^2 - 4(-16)(65))) / 2(-16)
t = (-113 ± sqrt(12769)) / (-32)
t = (-113 ± 113) / (-32)
t = 0.5 or t = 7.1
Since we're looking for the time when the rocket hits the ground after it's launched, we want the positive value of t:
t = 7.1 seconds (rounded to the nearest tenth of a second).
0 = -16t^2 + 113t + 65
We can use the quadratic formula to solve for t:
t = (-b ± sqrt(b^2 - 4ac)) / 2a
In this case, a = -16, b = 113, and c = 65. Substituting these values into the formula, we get:
t = (-113 ± sqrt(113^2 - 4(-16)(65))) / 2(-16)
t = (-113 ± sqrt(12769)) / (-32)
t = (-113 ± 113) / (-32)
t = 0.5 or t = 7.1
Since we're looking for the time when the rocket hits the ground after it's launched, we want the positive value of t:
t = 7.1 seconds (rounded to the nearest tenth of a second).
1 answer