Answer:
Option b is correct 175
Step-by-step explanation:
n = 7
k = 6
3k -2 ------1
put k = 6 in above eq. for finding first term
a1 = 3(6) - 2 = 18 - 2 = 16
put k = 7 in above eq. for finding first term
a2 = 3(7) - 2 = 21 - 2 = 19
a3 = 3 (8) - 2 = 24 - 2 = 22
16, 19 , 22, ... //Arithmetic series formation
a1 = 16 , a2 = 19
d = a2 - a1 = 19 - 16 = 3 //Difference of first two terms
Using sum forumula for arithmetic series
sum = 
= 
= 
= 
= 
= 7 * 25
= 175
Answer:
Step-by-step explanation:
A direct variation equation has the following format:
Where k is a constant.
We know that y is 12 when x is -2. Thus, substitute:
Divide both sides by -2:
So, our direct variation equations is:
To find what x is when y equals -6, substitute in -6 for y:
Divide both sides by -6:
So, our answer is 1 :)
Answer
500
Step-by-step explanation:
If the biologist tags 25 birds and lets them go, and then catches 100 and 5 of them have the tags, that would mean 20 of them are still out in the wild.
The way to solve this is if you put it into a proportion.
5/100 = 25/x
5x = (100)(25)
5x = 2500
5x/5 = 2500/5
x = 500
5/100=25/500
Binomial formula is :
= 495 * 0.0256 * 0.0167961 =
= 0.21284 ≈ 0.213
Answer:
C ) 0.213
