You didn't give enough information. We don't know the yard size.
Fractions and decimals. (And maybe integers because some are decimals)
Answer: 29.058
Step-by-step explanation:N/A
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>
Answer:
On the way up, 1.8 seconds and on the way down 4.1 seconds.
Step-by-step explanation:
Use the motion under gravity equation s = ut + 0.5gt^2 where u = initial velocity, s = the height, t = time and g = acceleration due to gravity ( 32 fts-2).
So 120 = 95t + 0.5(-32)t^2
-16t^2 + 95t - 120 = 0
Solving this using the quadratic formula:
t = [-95 +/- √(95^2 - 4 * -16*-120)] / -32
t = 1.823, 4.1148.
The first value refers to the upward journey and the second to the downward journey.
