Answer:
=18975
Step-by-step explanation:
This is an arithmetic sequence
an = a1 +d(n-1)
a1 =9
d = 12-9 = 3
an = 9 +3 (n-1)
The sum of an arithmetic sequence is given by
Sn = n/2 (a1+an)
So we need to determine what number in the sequence 336 is
an = 9 +3 (n-1)
336 = 9 +3(n-1)
Subtract 9 from each side
336-9 =9+-9 + 3(n-1)
327 = 3(n-1)
Divide each side by 3
327/3 =3/3(n-1)
109 = n-1
Add 1 to each side
109+1= n-1+1
110 = n
336 is the 110 term
The sum from 9 to 336
Sn = n/2 (a1+an)
S 110 = 110/2 (9+336)
= 55 (345)
=18975
Answer:
????????? what
Step-by-step explanation:
Answer:
9.4592x
94592x10^-1
Step-by-step explanation:
Remember that w<span>hen the ball hits the ground, s(t) = 0
</span><span>So we have: -16t^2 - 32t + 48 = 0 </span>
<span>It's time to determine t = (-(-32) +/- sqrt((-32)^2 - 4(-16)(48))) / (2(-16)) </span>
<span>t = (32 +/- sqrt(1024 + 3072)) / (-32) </span>
<span>t = (32 +/- sqrt(4096)) / (-32) </span>
<span>t = (32 +/- 64) / (-32) </span>
<span>t = (48 or -32) / (-32) </span>
<span>t = -1.5 or 1 </span>
<span>Since a negative number doesn't make sense, so t =1</span>
<span>Keep in mind that velocity is the derivative of the height, therefore: </span>
<span>s'(t) = -32t - 32 </span>
<span>s'(t) = -32*1 - 32 </span>
<span>s'(t) = -32 - 32 </span>
<span>s'(t) = -64 </span>
<span>So the answer 64 feet per second dwn</span>
11,220,000,000 is the answer for this question.