Answer:

Step-by-step explanation:
Method 1:
Arithmetic sequence is in the form

d is the common difference, can be found by:

Subtituting the
and 
You get:

Method 2 (Mathematical induction):
Assume it is in form 
Base step: 
Inducive hypophesis: 
GIven: 

Proved by mathematical induction

Descent = 10 feet
Time required = 2 1/2 minutes.
The rate of descent = (10 feet)/(2.5 mn) = 4 ft/min
In 6 minutes, the descent will be
(4 ft/min)*(6 min) = 24 ft
Answer:
(a) 4 feet/minute
(b) 24 feet
All socks together: 13
Black socks: 3
Probability to pick out black socks: 3/13
After one pick out (You picked out a pair of black socks):
Probability to pick out black socks: 2/12
Multiply them:
2/12 * 3/13 = 1/26 ≈ 0,038
Mmm... I think it is 5/8... I think.
Answer:
a
Step-by-step explanation:
The equation of a proportional relationship is
y = kx ← k is the constant of proportionality
Divide both sides by x
= k
To find k use any ordered pair from the table
Using (2,
) , then
k =
= 2 ×
= 