We'll say beginning amount is 100
Ending Amount = Beginning Amount / 2^n where n is the number of half-lives
100 hours mean six and 2/3 half-lives will elapse
Ending Amount = 100/2^(6.666666)
Ending Amount = 100 /
<span>
<span>
<span>
101.59
</span></span></span>Ending Amount =
<span>
<span>
<span>
0.9843488532
</span>
</span>
</span>
So if we started with 100 grams after 100 hours (or 6.6666666 half-lives) we would only have <span>
<span>
0.9843488532
</span>
grams remaining.
http://www.1728.org/halflife.htm
</span>
<h3>
Answer: Angle Q = 133 degrees</h3>
========================================================
Work Shown:
Recall that for any triangle, the three angles always add to 180
P+Q+R = 180
(x+13) + (10x+13) + (2x-2) = 180
(x+10x+2x) + (13+13-2) = 180
13x+24 = 180
13x = 180-24
13x = 156
x = 156/13
x = 12
Now that we know x, we can find the angle measures
- angle P = x+13 = 12+13 = 25 degrees
- angle Q = 10x+13 = 10*12+13 = 120+13 = 133 degrees
- angle R = 2x-2 = 2*12-2 = 24-2 = 22 degrees
As a way to check if we have the right answer or not, we see that,
P+Q+R = 25+133+22 = 180
So the answer is confirmed.
Answer:
A
Step-by-step explanation: democracy is the best form of ruling the masses
Answer:
B. 
Step-by-step explanation:
The right triangle altitude theorem states that the altitude of a right angled triangles formed on the hypotenuse is equal to the geometric mean of the 2 line segments it creates.
This can be represented as:
Where,
h = the length of the altitude,
x and y are the lengths of the 2 segments formed.
Therefore, the length of the altitude = 
<h2>
Answer:</h2><h2>The expected number of guests if the probability for a heavy snow fall is .40 = 98.4 </h2>
Step-by-step explanation:
The total number of guests for lodge to be full = 153
During heavy snow fall, the lodge will be full.
The expected number of guests during heavy snow fall = 153
During partial snow fall, the expected number of guests = 62
The probability of heavy snowfall = 0.4
The probability of partial snow fall = 1 - 0.4 = 0.6
The expected number of guests = [(0.4) (153)] + [(0.6) (62)]
= 61.2 + 37.2
= 98.4
