Answer:
( y^2 +1) ( x^2+1)
Step-by-step explanation:
Step 1 ) Factor out x^2 from the expression
x^2 (y^2+1)+y^2+1
Step 2) Factor out y^2 from the expression
(y^2+1) (x^2+1)
Solution is ( y^2 +1) ( x^2+1)
Answer:
To calculate the relative frequency, first we need to know what exactly is and how to calculate it.
Relative frequency is the ratio between the absolute frequency (how many repetitions have a specific outcome) and the total outcomes. Also, this type of frequency is used to show the representation that some data have over the whole distribution.
So, in this case, we need to just divide 13, which belongs to red marble's results, to 60 which is the total outcomes, as it's presented:
13redmarble Fr = -------------------------
60 totalmarbles
Normally, relative frequency is shown as a percentage multiplying this result by 100. Therefore, 22% is the approximate percentage of the relative frequency, which means that 22% is the representation of red marbles outcomes of the whole distribution, or we can say it as a probability: there's 22% of chances when someone extract a marble, it will be red.
<em>The answer to 32.85÷15 is 2.19. First, you need to change 32.85 into a whole number. To do that, multiply by powers of ten. There are 2 powers of ten need to turn 32.85 to a whole number. Whatever you do to one side, you must do to the other. So, add 2 zeros to 15. The expression becomes 3,285÷1500. The answer is 2.19</em>
Answer: cos(x)
Step-by-step explanation:
We have
sin ( x + y ) = sin(x)*cos(y) + cos(x)*sin(y) (1) and
cos ( x + y ) = cos(x)*cos(y) - sin(x)*sin(y) (2)
From eq. (1)
if x = y
sin ( x + x ) = sin(x)*cos(x) + cos(x)*sin(x) ⇒ sin(2x) = 2sin(x)cos(x)
From eq. 2
If x = y
cos ( x + x ) = cos(x)*cos(x) - sin(x)*sin(x) ⇒ cos²(x) - sin²(x)
cos (2x) = cos²(x) - sin²(x)
Hence:The expression:
cos(2x) cos(x) + sin(2x) sin(x) (3)
Subtition of sin(2x) and cos(2x) in eq. 3
[cos²(x)-sin²(x)]*cos(x) + [(2sen(x)cos(x)]*sin(x)
and operating
cos³(x) - sin²(x)cos(x) + 2sin²(x)cos(x) = cos³(x) + sin²(x)cos(x)
cos (x) [ cos²(x) + sin²(x) ] = cos(x)
since cos²(x) + sin²(x) = 1
Answer:
20x - 8
Step-by-step explanation:
Since we have the length and height of the rectangle we just multiply each by 2. This is because the length is the same on both sides and the height is too. The equation would look like this:
(5x-4 + 5x -4) + (5x +5x) = 10x -8 + 10 x = 20x -8
