Answer:
Since the sum of the angles equal to 720, you have to add all the angles to add to 720 and then solve for x, in which would look like this (x+2)+(x-4)+(x+6)+(x-3)+(x+7)+(x-8)=720, which is simplified to (6x)=720, in which will make x=120. Next, since its angle E, you plug in tha x value, (120+6), in which the ANSWER IS 126 DEGREES
Step-by-step explanation:
Hope this help ^w^
Answer:
I believe it would be 4 meters in one second
Step-by-step explanation:
I think this because you would divide meters by time.
Answer:
it is 1
Step-by-step explanation:
i think
Answer:
The series is absolutely convergent.
Step-by-step explanation:
By ratio test, we find the limit as n approaches infinity of
|[a_(n+1)]/a_n|
a_n = (-1)^(n - 1).(3^n)/(2^n.n^3)
a_(n+1) = (-1)^n.3^(n+1)/(2^(n+1).(n+1)^3)
[a_(n+1)]/a_n = [(-1)^n.3^(n+1)/(2^(n+1).(n+1)^3)] × [(2^n.n^3)/(-1)^(n - 1).(3^n)]
= |-3n³/2(n+1)³|
= 3n³/2(n+1)³
= (3/2)[1/(1 + 1/n)³]
Now, we take the limit of (3/2)[1/(1 + 1/n)³] as n approaches infinity
= (3/2)limit of [1/(1 + 1/n)³] as n approaches infinity
= 3/2 × 1
= 3/2
The series is therefore, absolutely convergent, and the limit is 3/2
