The provided sequences pertain to every x. To determine the series, we start with the specified value a, and the values of both

and

are found accordingly. The calculation of the series comes from dividing the preceding value, yielding results for all x.
If rational roots exist, they would be factors of the constant term (9) over factors of the leading coefficient (12).
Answer:
The median value is 47.
Step-by-step explanation:
First, organize the numbers in ascending order.
The median's position is calculated as ((N+1)÷2)th term, where N is the amount of data.
= 6÷2 th term
= 3 rd term
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Given the specified angles, one is 90 degrees, indicating that the triangle is a right triangle. With provided angles and one side representing the hypotenuse (the longest side), the area is determined using the formula: Area = 1/2 * base * height. Let's compute the height and base:
From sin 75, we derive height = 1.67.
And from cos 75, we obtain base = 0.45.
Calculating area gives us Area = (0.45 * 1.67) / 2, resulting in 0.37 square units.
Thus, the triangle's area is approximately 0.37 square units.
Answer:
Option 2 50 ≤ s ≤ 100
Option 5 She can make a deposit of $50
Option 6 She can make a deposit of $75
Detailed explanation:
Let
s represent the amount of money Layla puts into her savings account.
We know that
25% = 25/100 = 0.25
50% = 50/100 = 0.50
Thus
-----> 
-----> 
The compound inequality is

Check each case
case 1) 25 ≤ s ≤ 50
This statement is false
Refer to the procedure
case 2) 50 ≤ s ≤ 100
This statement is true
Refer to the procedure
case 3) s ≤ 25 or s ≥ 50
This statement is false
Because s ≤ 100 and s ≥ 50
case 4) s ≤ 50 or s ≥ 100
This statement is false
Because s ≤ 100 and s ≥ 50
case 5) She can make a deposit of $50
This statement is true
As the value of s meets the compound inequality 
case 6) She can make a deposit of $75
This statement is true
As the value of s meets the compound inequality 