Step-by-step explanation:
ln(n) is smaller than n for all n ≥ 1.
Therefore, ln(n) / n⁴ is smaller than n / n⁴ = 1 / n³.
1 / n³ converges (p series test). Therefore, the smaller function ln(n) / n⁴ also converges.
Answer:
1728
Step-by-step explanation:
There are 12 numbers that can be used for the first number; 12 for the second number; and 12 for the third number. This means there are a total of
12(12)(12) = 1728 combinations.
The events are independant (i.e. what she rolls on the cube has no impact on how the spinner works). The probability of two independant events is given by:

For the cube, 1/2 the numbers meet our requitment of being even, so:

For the spinner, there are 3 odds out of 5 (1, 3 & 5) so:

and then:


C because i did it and got it right
Answer:
i think it' =-8abc(a+b-c)
Step-by-step explanation: