100 yd * 3ft/1 yd * 12 in /1ft
100*3*12 in
3600 in
Answer:
195.25
Step-by-step explanation:
Consider geometric series S(n) where initial term is a
So S(n)=a+ar^1+...ar^n
Factor out a
S(n)=a(1+r+r^2...+r^n)
Multiply by r
S(n)r=a(r+r^2+r^3...+r^n+r^n+1)
Subtract S(n) from S(n)r
Note that only 1 and rn^1 remain.
S(n)r-S(n)=a(r^n+1 -1)
Factor out S(n)
S(n)(r-1)=a(r^n+1 -1)
The formula now shows S(n)=a(r^n+1 -1)/(r-1)
Now use the formula for the problem
Answer:

Step-by-step explanation:
Given

To express as a rational number with 91 on the denominator.
91 ÷ 7 = 13
Thus multiply the numerator and denominator by 13, that is
= 
ANSWER

EXPLANATION
Recall that,

That is why

is equivalent to

This implies that,

This is the same as,

When we are dividing by

we move the decimal point backwards two times.
This implies that,

x² - x - 12 ≠ 0
x² - 4x + 3x - 12 ≠ 0
x (x - 4) + 3 (x - 4) ≠ 0
(x + 3)(x - 4) ≠ 0
x ≠ -3 or x ≠ 4
(B)