Answer:
Remainder = 8
Step-by-step explanation:
1. b mod 12 = 7
Add 12 to 7
b = 7 + 12 = 19
b = 19
So, 19/12 = 1 remainder 7
The remainder when 8b mod 12 = 8b/12
= (8*19)/12 = 152/12
= 12 remainder 8
Testing with a different value of b
2. b mod 12 = 7
Add 24 (12*2) to 7
b = 7 + 24 = 31
b = 31
So, 31 mod 12 i.e., 31/12 = 2 remainder 7
The remainder when 8b mod 12 = 8b/12
= (8*31)/12 = 248/12
= 12 remainder 8 again
So, no matter the starting value of b that was obtained, 8b mod 12 will always have a remainder of 8.
Answer:
700 lei
Step-by-step explanation:
You have a geometric sequence for which you know the common ratio and the last term.
There are only three terms, so you can solve the problem in either of two ways.
1. The brute force method
(easiest for only a few terms)
Each term is half the one before it, so each term is double the one after it.
3rd term = 100 lei
2nd term = 200
1st term = 400
Total = 700 lei
Oana spent 700 lei
2. Using formulas (best for longer sequences)
The general formula for your sequence is
aₙ = a₁rⁿ⁻¹
For your sequence,
a₃ = 100; r = 0.5
(a) Calculate a₁
Set the last term equal to the general formula.
a₃ = a₁(0.5)ⁿ⁻¹
100 = a₁(0.5)² = 0.25a₁
a₁ = 100/0.25 = 400
(b) Calculate the sum
The general formula for the sum of a geometric sequence is
Oana spent 700 lei.
The <em>correct answer</em> is:
D) Rotated perpendicular lines always remain perpendicular lines.
Explanation:
Perpendicular lines, by definition, meet at a 90° angle.
As long as both lines are rotated the same direction and the same angle, then the angle between the two lines will not change. They will continue to be perpendicular, no matter how many degrees or which direction they are rotated.
Answer:
2/3
Step-by-step explanation:
3+6t=3t+5
like terms together
6t-3t=5-3
3t=2
t=2/3
Answer:
g
Step-by-step explanation:
