Answer:
a₁₃ = - 27x - 41
Step-by-step explanation:
The nth term of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 3x + 7
d = a₂ - a₁ = - 5x + 3 - (- 3x + 7)
= - 5x + 3 + 3x - 7
= - 2x - 4
Then
a₁₃ = - 3x + 7 + 12(- 2x - 4)
= - 3x + 7 - 24x - 48
= - 27x - 41
Answer:
The volume is 300 square feet.
Step-by-step explanation:
Volume is calculated by multiplying as such:

so, to calculate this, you would insert the parameters of the equation like this:

doing it step by step, it is:


Answer:
The train can be made up in a total of
ways
Step-by-step explanation:
FIrst, lets assume that all cars are distinct. If that is the case, then, since we have a total of 8 cars, we have
- 8 possibilities for the first car
- 7 possibilities for the second car
- 6 possibilities for the third car
and so on.
So we have a total of 8! = 8*7*6*...*3*2*1 possibilities to make a train.
Now lets take into account that 5 of the cars are identical within each other. Then we could make a permutation of those 5 cars and we wouldnt notice. Hence, the order of the 5 cars of second-class doesnt matter and as a result, we should divide 8! by the total of possible permutations of the 5 second class cars, that it, 5!
We also need to divide the result by 2! = 2, because which first class car came first doesnt matter either. Therefore, the train can be made up in a total of
ways.
The population of Oak Forest is increasing at a rate of 4% per year.
Increase rate, r = 4%
Current population, P = 39,410
time, t = 3 years
Population after 3 years will be:

Population after 3 years will be 44331
Answer:
Yes, any whole number is rational
Step-by-step explanation:
1, 2, 3, 4... etc is rational
1.5, 2.5, 3.5, 4.5...etc is irrational
I hope this helps you :)