For the arithmetic sequence
a₁, a₂, a₃, ...,
The n-th term is
where d = common difference.
Because a₁₀ = 41,
a₁ + 9d = 41 (1)
Because a₁₅ = 61
a₁ + 14d = 61 (2)
Subtract (1) from (2).
5d = 20
d = 4
From (1), obtain
a₁ = 41 - 9*4 = 5
Therefore
a₃ = 5 + 2*4 = 13
Answer: a₃ = 13
As they are traveling in opposite directions you need to do 50 + 40 to find out how far apart they travel every hour. 50 + 40 = 90. So you know that they are 90 miles apart every hour.
180 / 90 = 2. so you know that it takes them 2 hours to be 180 miles apart.
Answer:
x = -4 ;
Step-by-step explanation:
6(x+3)=2(2x+5)
Distribution
6x+18 = 4x + 10
Subtract 4x on both sides
2x+18 = 10
Subtract 18 on both sides
2x = -8
Divided by 2
x = -4
Now if we have to substitute the value of X
6(-4+3)=2(-8+5)
Parenthesis first
6(-1) = 2(-3)
-6 = -6
Answer:
4
Step-by-step explanation:
Is that a log with the base of 3√(2) ?
If so....my calculator says the answer is 4
Let's see if we can do it w/ou the calculator:
3 sqrt(2)^x = 324 = 3^4 * 2^2 Now 'LOG' both sides:
x log (3 sqrt 2) = log (3^4 *2^2) = 4 log ( 3 * 2^(2/4)) = 4 log (3 sqrt2)
now divide both sides by log (3 sqrt2 )
x = 4 (If I did the math correctly ! )
