First we have to calculate the half-life
half-life = elapsed time * log (2) / log (bgn amt / end amt)
half-life = 1 hour * 0.30102999566 / log (1 / .95)
half-life = 0.30102999566 / log (<span>
<span>
<span>
1.0526315789 )
</span>
</span>
</span>half-life = 0.30102999566 / 0.022276394692
half-life = <span>
<span>
<span>
13.5134073454 hours
</span>
</span>
</span>
Ending Amount = Beginning Amount / 2^n
Where "n" = number of half-lives
For 4 hours, "n" equals
4 / 13.5134073454
=<span>
<span>
<span>
0.2960023255
</span></span></span>Ending Amount = 500 grams / 2^.2960023255
Ending Amount = 500 grams /<span>
<span>
<span>
1.2277376629
</span>
</span>
</span>Ending Amount = <span>
<span>
<span>
407.2531250707 grams
Source:
http://www.1728.org/halflife.htm
</span></span></span>
36 will be the answer for x
Scale : 2 inches = 39 miles
The length of the highway on the map is 9 inches -> the real length of it = 39 x 9 : 2 = 175.5 (miles)
There are 7 rest stops equally spaced => There are 7-1 = 6 equal distance between the rest stops
So, every rest stop is 175.5 : 6 = 29.25 miles apart from each other.
With a scale of 1 inch = 30 miles, each rest stop will be 29.25 : 30 = 0.975 inches apart from each other on the new map.
Answer:
Step-by-step explanation:
In left small right triangle: we have the square of left side = 5^2 + y^2 = 25 + y^2
In right small right triangle: we have the square of right side = 8^2 + y^2 = 64 + y^2
In the large right triangle, we have (25 + y^2) + (64 + y^2) = (5 + 8)^2
89 + 2y^2 = 13^2 = 169
2y^2 = 169 - 89 = 80
y = 80/2 = 40
so
