the amount of carbon 14 remaining in a sample that originally contained a grams is given by c(t) = a(0.999879)t where t is time
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ANSWER
Find out the how long will the Yellow balloon be higher than the orange balloon.
To proof
Now the diagram is given below
As given
A yellow hot-air balloon is 100 feet off the ground and rising at rate of 8 feet per second.
i.e height of the yellow baloon off the ground = 100 feet
rising at rate = 8 feet per second.
.An orange hot-air balloon is 160 feet off the ground and rising at a rate of 5 feet per second.
i.e height of the orange baloon off the ground = 160 feet
rising at rate = 5feet per second.
Formula
Relative velocity = rising rate of yellow balloon - rising rate of orange balloon
= 8 -5
= 3 feet per second
Relative distance = height of the yellow baloon off the ground - height of the orange baloon off the ground
= 160 -100
= 60 feet
put in the formula
= 20 second
after 20 second Yellow balloon will be higher than the orange balloon.
Hence proved
(a) 
different possibilities
(b)
So, there is a 1 in 4 chance that both dice will show an even.
(b)
So, there is a 1 in 4 chance that both dice will show an even.
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