Answer:
x = 13
Step-by-step explanation:
6x + 14 + 4x - 8 + 2x + 18 = 180 {Angle sum property of tiangle}
6x + 4x + 2x + 14 - 8 +18 = 180 {Combine like terms}
12x + 24 = 180 {Subtract 18 from both sides}
12x = 180 - 24
12x = 156 {Divide both sides by 12}
x = 156/12
x = 13
Answer:
"line" a straight line graph is always linear once the line isn't straight, it'll no longer be called a line and will never be linear anymore
9514 1404 393
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.
Answer:
77
Step-by-step explanation: