Answer:
(a)then the product of these two numbers is divisible by 6.
Step-by-step explanation:
If a and b are two integers where at least one of a or b is divisible by 6, the product ab will also be divisible by 6.
If, a is divisible by 6, a/6 = c (an integer).
Product of a and b, (ab)/6 = (a/6) X b =cb.
Likewise if b is divisible by 6, same rule applies.
We only need a term in the product to be divisible by an integer for the product to be divisible by the integer.
Answer:
Unknown
Step-by-step explanation:
Hi! so you didn't add the ordered pair options but I will do my best :) so if you see the ordered pair (0.7) that could definitely be a solution because using the slope intercept form equation you gave I know that's our y Intercept. the slope is 4/1 so moving up 4 and to the right 1 or down 4 and to the left 1 on a graph could show you more points! If you don't want to draw it you could use Desmos and just put this equation in or give me the ordered pairs and I will give you your answer!
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
Answer:
98
The answer is 98 because since the farmer's market sold 35% of its produce and has 280 peaches remaining you have to turn 35% into a decimal which is 0.35 then multiply that times 280 and get 98.
