Answer:
B. 97.2
Step-by-step explanation:
The sequence of positive terms is ...
54, 24, 10 2/3, 4 20/27, ...
This sequence has first term 54 and common ratio 24/54 = 4/9. The sum of the infinite series is ...
S = a1/(1 -r) = 54/(1 -4/9) = 54(9/5)
S = 97.2
The sum of the positive terms in the infinite series is 97.2.
4.05x+5.25(149-x)=710.25
Solve for x
X=60 ........4.05
149-60=89.....5.25
This math is just too much and makes little to no sense.
Answer:
See below.
Step-by-step explanation:
The rocket's flight is controlled by its initial velocity and the acceleration due to gravity.
The equation of motion is h(t) = ut + 1.2 g t^2 where u = initial velocity, g = acceleration due to gravity ( = - 32 ft s^-2) and t = the time.
(a) h(t) = 64t - 1/2*32 t^2
h(t) = 64t - 16t^2.
(b) The graph will be a parabola which opens downwards with a maximum at the point (2, 64) and x-intercepts at (0, 0) and (4, 0).
The y-axis is the height of the rocket and the x-axis gives the time.
Maximum height = 64 feet, Time to maximum height = 2 seconds, and time in the air = 4 seconds.
