Answer: THIRD OPTION.
Step-by-step explanation:
Since , then is:
In order to find which table represents when , you can follow these steps:
1. Substitute into the function :
2. Substitute into the function :
3. Substitute into the function :
Notice that those ouput values (for and ) matches with the table provided in the third option. That table represents when :
Answer:
These cards can be arranged in 3,628,800 ways.
Step-by-step explanation:
Number of arrangements of n elements:
The number of possible arrangements of n elements is given by:
How many different ways can these cards be arranged?
10 cards, so:
These cards can be arranged in 3,628,800 ways.
Substitute <em>x</em> = 3 - 2 cos(<em>θ</em>) and d<em>x</em> = 2 sin(<em>θ</em>) d<em>θ</em> (where "sin" = "sen"). So we have
∫ sin(<em>θ</em>) / (3 - 2 cos(<em>θ</em>)) d<em>θ</em> = 1/2 ∫ 1/<em>x</em> d<em>x</em>
= 1/2 ln|<em>x</em>| + <em>C</em>
= 1/2 ln(3 - 2 cos(<em>θ</em>)) + <em>C</em>
(We can remove the absolute value because -1 ≤ cos(<em>θ</em>) ≤ 1, so 1 ≤ 3 - 2 cos(<em>θ</em>) ≤ 5, and |<em>x</em>| = <em>x</em> when <em>x</em> ≥ 0.)
Answer:
-7
Step-by-step explanation:
you beed to subtrace 7 from both sides
Answer:
$15
Step-by-step explanation:
You take 50% off of $30, which is 15. You can also think of it as 50% is 1/2. So 1/2 of 30 is 15