Answer:
6201
Step-by-step explanation:
formula for series in AP
where n is the nth term and a is first term and d is difference between two terms in series 
With L` Hospital`s Rule ( ( tan x ) ` = 1/ cos^2 x ) :
=
2
Answer:
3.63 * 10^19
Step-by-step explanation:
Given that :
Number of choices to select = 12
Category available :
Blues - 14
Country - 25
Disco - 21
To select an equal number of song for each category ; then 4 songs will be selected from each :
Using combination :
(14C4 * 25C4 * 21C4)
Since the order matters for the 12 selected songs ; it thus requires 12 permutation
Thus ;
(14C4 * 25C4 * 21C4) * 12!
nCr = n! / (n-r)!r!
Using calculator;
14C4 = 1001 ;
25C4 = 12650
21C4 = 5985
12! = 479001600
Hence,
(1001 * 12650 * 5985) * 479001600
= 36301596217286400000
=3.63 * 10^19
4 because 23.63 rounds up to 24, then divide 6 by 24, or 24 by 6
Answer:
the slope is -1/2 and the y- intercept is 2
Step-by-step explanation:
math
way
( no space needed)
