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:
8.5 inches
Step-by-step explanation:
1/2 in = 5 miles
? = 85 miles.
So you would do 85/5 to figure out how many times you have to multiply 5 to get to 85.
85/5= 17
So then you would multiply 17 by 1/2 to get the answer 8.5. So that would b 8.5 inches
Step-by-step explanation:
∫ (sec x − tan x) dx
∫ sec x dx + ∫ -tan x dx
∫ (sec²x + sec x tan x) / (sec x + tan x) dx + ∫ (-sin x / cos x) dx
ln(sec x + tan x) + ln(cos x) + C
Given
You created a new playlist in 100 of your friends listened to it and shared if they liked
The new playlist said the ratio Of people who liked the playlist to those who did not like the playlist is 75:25.
Dylan said that for every three people who like to playlist one person did not
Find out Do Nadhii and Dylan Agree or not.
To proof
As given in the question
created a new playlist in 100 of your friends listened to it and shared if they liked
new playlist said the ratio Of people who liked the playlist to those who did not like the playlist is 75:25.
Simply the ratio of people who liked the playlist to those who did not like the playlist

Thus

also
Dylan said that for every three people who like to playlist one person did not
In the form of ratio written as

the value of both new playlist and Dylan said about the ratio of people who liked the playlist to those who did not like the playlist is 3:1.
The value both of their ratio are equivalent .
Thus Nadhii and Dylan Agree
Hence proved
If you are multiplying fractions it doesn't matter if there are different denominators because you multiply straight across.