Answer: 
Step-by-step explanation:
Given equation is

solving this

There can be two solution because 

so, 
Answer:
x = 8
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
The sum to n terms of a geometric series is
= 
where a is the first term and r the common ratio
Here a = 6144 and r =
=
=
, then
= 
= 
= 12288(1 -
) ← distribute
= 12288 - 12
= 12276 → B
145 = -16 t² + 80 t +s
s = ?
v = v0 - at
0 = 80 - at
80 = at
s = 80 t - at²/2
s = 80 t - 80t/2
s = 40 t
Finally: 145 = -16 t² + 80 t + 40 t
16 t² - 120 t + 145 = 0
We will solve this quadratic equation:
t = [120 +√ ( (-120)²- 4 · 16 · 145 )] / 32
t = [120 + √ (14400 - 9280) ] / 32
t = (120 + 71.55) / 32 = 5.98 ≈ 6 s
Answer:D) 6 seconds