Answer:
B) - The Viceroy population remained fairly steady over the three years recorded.
C) - The average number of Zebra Swallowtails over all three samples will be less than the number recorded in year 1.
D) - If a population is increasing over time, the average will be less than the most recent count.
Step-by-step explanation:
just got it right on the test
For number one, the answer will be C because the ratio between the side and the perimeter of the Pentagon will be 1/5 or 2/10 or 3/15. For number 2, we know that the Pentagon had 5 sides, and the side of it is 8, so the perimeter of this Pentagon will be 8+8+8+8+8 or 40 inches, which is C. Hope it help!
There are two of them.
I don't know a mechanical way to 'solve' for them.
One can be found by trial and error:
x=0 . . . . . 2^0 = 1 . . . . . 4(0) = 0 . . . . . no, that doesn't work
x=1 . . . . . 2^1 = 2 . . . . . 4(1) = 4 . . . . . no, that doesn't work
x=2 . . . . . 2^2 = 4 . . . . . 4(2) = 8 . . . . . no, that doesn't work
x=3 . . . . . 2^3 = 8 . . . . . 4(3) = 12 . . . . no, that doesn't work
<em>x=4</em> . . . . . 2^4 = <em><u>16</u></em> . . . . 4(4) = <em><u>16</u></em> . . . . Yes ! That works ! yay !
For the other one, I constructed tables of values for 2^x and (4x)
in a spread sheet, then graphed them, and looked for the point
where the graphs of the two expressions cross.
The point is near, but not exactly, <em>x = 0.30990693...
</em>If there's a way to find an analytical expression for the value, it must involve
some esoteric kind of math operations that I didn't learn in high school or
engineering school, and which has thus far eluded me during my lengthy
residency in the college of hard knocks.<em> </em> If anybody out there has it, I'm
waiting with all ears.<em>
</em>
Answer:
A. 6975 cm, B. 69750 mm
Step-by-step explanation:
Notice the picture below
so.... the angle of depression, is above in dashed lines.... however, the angle of depression, is identical to the angle of elevation from the water, since, both angles are "alternate interior" angles
now, using the 45-45-90 rule, then we know the swimmer is 90 feet from the lighthouse, then just use the tangent ratio to get "x"
