Answer:
= 20n + 12
Step-by-step explanation:
There is a common difference d between consecutive terms, that is
d = 52 - 32 = 72 - 52 = 92 - 72 = 20
This indicates the sequence is arithmetic with explicit formula
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 32 and d = 20, thus
= 32 + 20(n - 1) = 32 + 20n - 20 = 20n + 12
Answer:

= 7.071067812
Step-by-step explanation:
hope this helps
Answer:
25
Step-by-step explanation:
We need to set up a system of equations, then solve for the number of board markers.
Let r represent red pens, let b represent board markers.
She has 41 items, so our first equation is r+b=41.
The total cost is $46.30, so our second equation is .55r+1.5b=46.3.
r+b=41
.55r+1.5b=46.3
Let's use substitution.
r+b=41
r=41-b
.55r+1.5b=46.3
.55(41-b)+1.5b=46.3
22.55-.55b+1.5b=46.3
22.55+.95b=46.3
.95b=23.75
b=25
He bought 25 board markers.
Answer:
C. volume
Step-by-step explanation:
The response variable in this scenario would be the volume of the usable lumber. That is because this variable depends completely on the height of the cherry trees that are being measured. The higher that the cherry trees are the more volume can be expected to get from cutting these trees down. The opposite goes for trees that are smaller, they would decrease the total expected volume that will be received from the usable lumber since there would be less amount of tree to cut down.