Answer:
<h3>A) 204m</h3><h3>B) 188m</h3>
Step-by-step explanation:
Given the rocket's height above the surface of the lake given by the function h(t) = -16t^2 + 96t + 60
The velocity of the rocket at its maximum height is zero
v = dh/dt = -32t + 96t
At the maximum height, v = 0
0 = -32t + 96t
32t = 96
t = 96/32
t = 3secs
Substitute t = 3 into the modeled function to get the maximum height
h(3) = -16(3)^2 + 96(3) + 60
h(3) = -16(9)+ 288 + 60
h(3) = -144+ 288 + 60
h(3) = 144 + 60
h(3) = 204
Hence the maximum height reached by the rocket is 204m
Get the height after 2 secs
h(t) = -16t^2 + 96t + 60
when t = 2
h(2) = -16(2)^2 + 96(2) + 60
h(2) = -64+ 192+ 60
h(2) = -4 + 192
h(2) = 188m
Hence the height of the rocket after 2 secs is 188m
Answer:
1) 0.53
2) 0.1615
Step-by-step explanation:
1) ______ + 0.37 = 0.9
______ = 0.9 - 0.37 = 0.53
2)______ - 0.0369 = 0.1246
______ = 0.1246 + 0.0369 = 0.1615
Answer:
$52
Step-by-step explanation:
Given that :
Amount charged for shipping and handling = 4.5%
Let cost of order = x
Total amount charged = 54.34
However,
total. Amount charged = (total cost + handling and shipping)
54.34 = x + 0.045x
54.34 = 1.045x
Order total before shipping = 54.34 / 1.045
Order total before shipping = 52
