Answer:
It is b
Step-by-step explanation:
Answer: The concentration of X is
and the concentration of Y is
.
Step-by-step explanation:
Since we have given that
At 272 nm, absorbance = 0.215
At 327 nm, absorbance = 0.191
As we have given that
Compound X Compound Y
272 16400 3870
327 3990 6420
So, our equations becomes

By solving these two equations, we get that

Hence, the concentration of X is
and the concentration of Y is
.
Answer:
csc (- 30)° = - 2
Step-by-step explanation:
Using the trigonometric relationship
csc x =
and the exact value sin30° = 
sin(- 30)° = - sin30° = -
, thus
csc (- 30)° =
= - 2
Separate the vectors into their <em>x</em>- and <em>y</em>-components. Let <em>u</em> be the vector on the right and <em>v</em> the vector on the left, so that
<em>u</em> = 4 cos(45°) <em>x</em> + 4 sin(45°) <em>y</em>
<em>v</em> = 2 cos(135°) <em>x</em> + 2 sin(135°) <em>y</em>
where <em>x</em> and <em>y</em> denote the unit vectors in the <em>x</em> and <em>y</em> directions.
Then the sum is
<em>u</em> + <em>v</em> = (4 cos(45°) + 2 cos(135°)) <em>x</em> + (4 sin(45°) + 2 sin(135°)) <em>y</em>
and its magnitude is
||<em>u</em> + <em>v</em>|| = √((4 cos(45°) + 2 cos(135°))² + (4 sin(45°) + 2 sin(135°))²)
… = √(16 cos²(45°) + 16 cos(45°) cos(135°) + 4 cos²(135°) + 16 sin²(45°) + 16 sin(45°) sin(135°) + 4 sin²(135°))
… = √(16 (cos²(45°) + sin²(45°)) + 16 (cos(45°) cos(135°) + sin(45°) sin(135°)) + 4 (cos²(135°) + sin²(135°)))
… = √(16 + 16 cos(135° - 45°) + 4)
… = √(20 + 16 cos(90°))
… = √20 = 2√5
Hey there Smarty!
This would be considered to be a (acute angel) which in this case, we would have to make sure that this whole triangle would equal less than 270 because each angle would be less than

°
If we add/multiply

.
So, we would have to know that was ever this would all add up to be, this would have to be less than 270°
![\left[\begin{array}{ccc}\boxed{\boxed{(2.5+5) \\ \\ (2.5*2.5) \\ (2.5-2) \\ (2.5-1) \\}} \\ \\ this \ would \ be \ why \ I \ would \ say \\ that \ this \ would \ be \ the \ answer \end{array}\right]](https://tex.z-dn.net/?f=%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D%5Cboxed%7B%5Cboxed%7B%282.5%2B5%29%20%5C%5C%20%5C%5C%20%282.5%2A2.5%29%20%5C%5C%20%282.5-2%29%20%5C%5C%20%282.5-1%29%20%5C%5C%7D%7D%20%5C%5C%20%5C%5C%20this%20%5C%20would%20%5C%20be%20%5C%20why%20%5C%20I%20%5C%20would%20%5C%20say%20%5C%5C%20that%20%5C%20this%20%5C%20would%20%5C%20be%20%5C%20the%20%5C%20answer%20%5Cend%7Barray%7D%5Cright%5D%20%20)
I truly hope this helps, and also, it's kind of my
first time doing this I hope this would be helpful.
~Jurgen