Answer:
3)
, 
Step-by-step explanation:
Given that the explicit rule for a sequence is
.
Now we need to find about what is the recursive rule for the sequence and match with the given choices to find the correct choice.
1)
, 
2)
, 
3)
, 
4)
, 
Plug n=1 into given formula to get first term


base of the exponent part is (-2) so that means we need to multiply -2 to the previous term to get nth term
Hence correct choice is: 3)
, 
I'm not 100% sure but I believe it's $250
Part A:
Let the length of one of the sides of the rectangle be L, then the length of the other side is obtained as follow.
Let the length of the other side be x, then

Thus, if the length of one of the side is x, the length of the other side is 8 - L.
Hence, the area of the rectangle in terms of L is given by

Part B:
To find the domain of A
Recall that the domain of a function is the set of values which can be assumed by the independent variable. In this case, the domain is the set of values that L can take.
Notice that the length of a side of a rectangle cannot be negative or 0, thus L cannot be 8 as 8 - 8 = 0 or any number greater than 8.
Hence the domain of the area are the set of values between 0 and 8 not inclusive.
Therefore,
Answer:
<em>A = 48.81°</em>
Step-by-step explanation:
<u>Angles in a Right Triangle</u>
When the side lengths of a right triangle are known and an angle must be determined, we can use the trigonometric ratios that relate angles and sides.
The tangent ratio is defined as:

Opposite leg to angle A is 8 and adjacent leg is 7, thus:

Using the inverse tangent funcion:

Calculating:
A = 48.81°