Answer:
r > -69
Step-by-step explanation:
13 - r < 82
subtract 13 from both sides
13 - r - 13 < 82 - 13
- r < 69
to flip the inequality sign, multiply both side by -1 to make r positive:
- r (-1) < 69 (-1)
r > -69
You answered all of them if there is only 45 and you answered 810810.
Answer:
Recursive formula for geometric sequence

is 
and explicit formula for geometric sequence
is

Step-by-step explanation:
Given sequence is 
To find the recursive and explicit formula for this sequence:
Let 
To find the common ratio r:




Therefore r=6



Therefore r=6
Therefore the common ration r=6
Therefore the given sequence is geometric sequence
Recursive formula for geometric sequence is 

and explicit formula is 



Therefore 
Answer:
7/2.7/5.5 = 140
297
≅ 0.4713805
Step-by-step explanation:
Divide: 7 / 2.7 = 7
1
· 10
27
= 7 · 10
1 · 27
= 70
27
To divide one fraction by another, invert (turn upside-down) the second fraction, then multiply.
Conversion a decimal number to a fraction: 5.5 = 55
10
= 11
2
Divide: 70
27
: 5.5 = 70
27
· 2
11
= 70 · 2
27 · 11
= 140
297
To divide one fraction by another, invert (turn upside-down) the second fraction, then multiply.
Answer:
±2 sqrt(3) = x
Step-by-step explanation:
12 -x^2 =0
Add x^2 to each side
12 -x^2+x^2 =0+x^2
12 = x^2
Take the square root of each side
±sqrt(12) = sqrt(x^2)
We know that sqrt(ab) = sqrt(a) sqrt(b)
±sqrt(4*3) = sqrt(x^2)
±sqrt(4) * sqrt(3) = x
±2 sqrt(3) = x