Dimensions of the room in cm = 2.54 x 12 by 15 x 2.54 by 2.54 x 8.5 = 30.48 by 38.1 by 21.59
Volume of the room in cubic cm = 30.48 x 38.1 x 21.59 cubic cm = 25,072.21 cubic cm
Given that the density of air at room temperature is
, thus the mass of air in the room = 25,072.21 x 0.00118 = 29.59 g = 0.0296 kg
Given that the lethal dose of HCN is approximately 300 mg HCN per kilogram of air when inhaled, thus the <span>amount of HCN that gives the lethal dose in the small laboratory room is given by 300 x 0.0296 =
8.88 mg.</span>
Answer:
Step-by-step explanation:
Apply the power 2 to the numerator and denominator, separately:
x^2
------------
4y^6
Answer:
$4
Step-by-step explanation:
The two purchases can be written in terms of the cost of an adult ticket (a) and the cost of a student ticket (s):
7a +16s = 120 . . . . . . . . price for the first purchase
13a +9s = 140 . . . . . . . . price for the second purchase
Using Cramer's rule, the value of s can be found as ...
s = (120·13 -140·7)/(16·13 -9·7) = 580/145 = 4
The cost of a student ticket is $4.
_____
<em>Comment on Cramer's Rule</em>
Cramer's rule is particularly useful for systems that don't have "nice" numbers that would make substitution or elimination easy methods to use. If you locate the numbers in the equation, you can see the X-patterns that are used to compute the numerator and denominator differences.
The value of a is (16·140 -9·120)/(same denominator) = 1160/145 = 8. I wanted to show you these numbers so you could see the numerator X-pattern for the first variable.
__
Of course, graphical methods can be quick and easy, too.
We can represent the pizza as 1. And every time we take a slice, we take percentage away. This pizza is cut up equally into 10 slices. So, if we take away a slice, we take away 1/10 of the pizza. What if Sally ate 6 slices? Same difference. She took away 6/10 of the pizza.
And to answer the question, "What <span>percentage of the pizza did Sally eat if she had six slices?"
We will convert the 6/10 into a percentage. First convert the fraction into a decimal then into a percent.
To convert a fraction into a decimal, simply divide it's numerator by it's denominator.
6/10 = 0.60
And to convert a decimal into a percentage, move the decimal point two places to the right and change it into a % sign.
0.60 = 60%
So, the answer to this question C) 60%
If you are still confused, DM me and I'll do my best to help!
</span>
