It is 13 hrs and 5 minutes.
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:
53.1 degrees
Step-by-step explanation:
use sohcahtoa
sin(x) = 12/15
sin(x) = 0.8
sin-1(0.8) = 53.1301
Answer:
Step-by-step explanation:
the range is written as (min y value, max y value)
the domain is written as (min x value, max x value)
question 6
the min y value on the picture is -3, while the arrows point upward, so the max is infinity, so the domain is [-3,∞), with a bracket on -3 because -3 is included
[-3,∞)
question 7
the min x value is the leftmost point, which is at x = -3, while the max is the rightmost point at x = 3, and both are included in the domain so there should be brackets on both
[-3,3]
question 8
the arrow on the left points to the left and up infinitely, so the min is -∞, the arrow on the right points to the right and up infinitely, so the max x value is ∞
(-∞,∞)
question 9
the min value is the bottommost point at y = -2, and the arrow points upward infinitely so the max y value is ∞
[-2,∞)
question 10
the arrow on the left points to the left infinitely so the min x value is -∞, the arrow on the right points to the right infinitely so the max x value is ∞
(-∞,∞)
