Answer:
a- defined term
Step-by-step explanation:
The statement is defining an angle.
Answer:
5/8
Step-by-step explanation:
3/8 + 1/4
To add these fractions, you need a lowest common denominator. Both 4 and 8 "go into" 8, so the lowest common denominator is 8.
In order to change the denominator 4 to 8, you need to multiply both the numerator and the denominator by 2. So, 1/4 becomes 2/8.
Now, the problem is 3/8 + 2/8.
You can add the numerators, because the denominator is the same for each fraction.
3/8 + 2/8 = 5/8
321 times 23 is 7,383
3,829 divided by 1,221 is (rounded to the nearest hundredth) 3.14
(the real number was: 3.13595414)
The mean is the average.
Add all the number of pets and divide by how many people there were.
3+5+2+4+1
15/number of people
15/5
=3
Hope this helps :)
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
