Answer:
1668 feet.
Step-by-step explanation:
We know the opposite side of the right triangle and we need the adjacent side, so we use the tangent function.
If the distance required is x (adj side) we have:
tan 41 = opp/adj
tan 41 = 1450/x
x = 1450 / tan 41
= 1668.03
-2x + 5 = 1/3x - 22
-7/3x = -27
-7x = -81
x = 81/7 or 11.57
They will intersect when x = 81/7 or 11.57
Interval notation uses parenthesis ( or ) for points that are not included in the function (open circle) and brackets [ or ] for points that are included in the function (filled in circle).
Remember that the domain for a function is the range of x-values in a function.
Interval notation includes the numbers at the each end of a continuous function. For function F, the leftmost x-value is 0. The rightmost x-value is 8. Both points at x = 0 and x = 8 are included in the function (filled in circles), so you would use the brackets. The entire function is continuous between those two points.
That means the interval notation for the domain of F is:
[0, 8]
------
Answer: [0, 8]
Base case: For 
, the left side is 2 and the right is 
, so the base case holds.
Induction hypothesis: Assume the statement is true for 
, that is
We want to show that this implies truth for 
, that
The first 
terms on the left reduce according to the assumption above, and we can simplify the 
-th term a bit:
so the statement is true for all 
.
It is B. Because the 3$ doesn't have any variables and the 2 dollars is per hours so 2x
