e) The diagonal of square A, marked off by the red stars, is where the concession stand is located. A local high school band is
2 answers:
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Because the two angles on the right add to 180 degrees, we can create this system:
We can also prove that
, which, when solved, shows that 
.
When plugged in to the original equation, we find that y = 105 degrees.
We can also prove that
When plugged in to the original equation, we find that y = 105 degrees.
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Answer:
a) 600
b) see below
c) 1.26 hours
Step-by-step explanation:
a) The value of y when x=0 is the coefficient of the exponential term:
y = 600·3^(-0) = 600·1 = 600
There were 600 atoms to start.
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b) see attached for a graph
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c) The graph shows 150 atoms at t = 1.26, about 1.26 hours after the start of time counting.
If you want to find that value algebraically, substitute for y and solve for x. Logarithms are involved.
150 = 600·3^(-x)
150/600 = 3^(-x)
log(1/4) = -x·log(3)
x = -log(1/4)/log(3) = log(4)/log(3) ≈ 1.2618595
After about 1.26 hours, there were 150 atoms.
