Answer:
The remaining hours of TV Julia can watch this week can be expressed as
X ≤ 3.5
Step-by-step explanation:
since Julia is allowed not to watch not more than 5 hours of TV in a week and she has watched 1.5 hours already
the remaining time (X) would be expressed as
x ≤ (5 - 1.5)
x ≤ 3.5 hours
2x2 + x - 10
Convergent; 81
r = term2/term1 = 8/9
8/9 < 1 so convergent
Sum = 9/(1 - 8/9)
= 9/(1/9) = 81
fourteen billion seven hundred ninety millio
or , where is an integer.
There are three such angles between and : , , and .
By the double angle identity of sines:
.
Rewrite the original equation with this identity:
Note, that and share the common factor . On the other hand, and share the common factor . Combine these terms pairwise using the two common factors:
Note the new common factor . Therefore:
This equation holds as long as either or is zero. Let be an integer. Accordingly:
Any that fits into at least one of these patterns will satisfy the equation. These pattern can be further combined: