<h3><u>given</u><u>:</u></h3>
circumference= 24 feet
<h3><u>to</u><u> </u><u>find</u><u>:</u></h3>
the radius of the circle.
<h3><u>solution</u><u>:</u></h3>
<u>therefore</u><u>,</u><u> </u><u>the</u><u> </u><u>radius</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>circle</u><u> </u><u>is</u><u> </u><u>3.8</u><u> </u><u>feet</u><u>.</u>
3.5x-10>-3 add 10 to both sides
3.5x>13 divide both sides by 3.5
x>26/7
x=(26/7, +oo)
...
8x-9<39 add 9 to both sides
8x<48 divide both sides by 8
x<6
x=(-oo,6)
Since this is a compound inequality with AND the solution set will be the union of the two intervals found above.
x=(26/7, 6)
Log(2)/log(1.064) ≈ 11.17 . . . . hours
_____
The population can be given by
p(n) = p₀×1.064ⁿ . . . . where n is the number of hours
You want to find n whe p(n) = 2*p₀.
2p₀ = p₀×1.064ⁿ . . . . . . . . . . . . substitute the given information
2 = 1.064ⁿ . . . . . . . . . . . . . . . . . divide by p₀
log(2) = n×log(1.064) . . . . . . . . take logs to make it a linear equation
log(2)/log(1.064) = n . . . . . . . . divide by the coefficient of n
Answer:
Really? The pattern is that this is probably influenced by is a negative exponential function. The pattern is that the exponent is decreased by one.
Step-by-step explanation:
