Step-by-step explanation:
I assume that "ground" is at 0 ft height. which is in an actual scenario not airways the case.
y = -16x² + 64x + 89
shows us that the tower is 89 ft tall (the result for x = 0, at the start).
anyway, if the original assumption is correct, then we need to solve
0 = -16x² + 64x + 89
the general solution for such a quadratic equation is
x = (-b ± sqrt(b² - 4ac))/)2a)
in our case
a = -16
b = 64
c = 89
x = (-64 ± sqrt(64² - 4×-16×89))/(2×-16) =
= (-64 ± sqrt(4096 + 5696))/-32 =
= (-64 ± sqrt(9792))/-32
x1 = (-64 + 98.95453501...)/-32 = -1.092329219... s
x2 = (-64 - 98.95453501...)/-32 = 5.092329219... s
the negative solution for time is but useful here (it would be the time calculated back to ground at the start).
so, x2 is our solution.
the rocket hits the ground after about 5.09 seconds.
Answer:
s = 6 m
Step-by-step explanation:
The value of the velocity v is given as:
m/s
To find s, we have to integrate and apply the initial values of s = o when t = 0:
When t = π/2, s will be:
s = -3cos(2 * π/2) + 3
s = -3cos(π) + 3
s = -3(-1) + 3
s = 3 + 3
s = 6 m
Answer:
x-25 = 40
Step-by-step explanation:
Let the number of cookies made = x
The employees bake 40 cookies which is 25 less than the number of donuts they make
Number of Cookies is less than Number of Donuts by 25
Therefore the equation that describes the situation is given as:
x-25 = 40 where x is the number of cookies made.
A. F
b. T
c. T
d. T
1.5 Acres 2 Acres
42.5 ( 1.5 ) + 15 = 78.75 | 42.5 ( 2 ) + 15 = 100
78.5 ( 1.5 ) + 5 = 122.75 | 78.5 ( 2 ) + 5 = 162
