128 adult tickets were sold
Answer: 1.5 meters
Step-by-step explanation:
Given: A lake near the Arctic Circle is covered by a sheet of ice during the cold winter months. S
S(t) models the ice sheet's thickness (in meters) as a function of time t (in weeks)
if we put x=0, then
So 4 meters is the initial thickness
To find the thickness after 6 weeks, put x=6 we get
Decrease in thickness every 6 weeks=
The equation of the line through (0, 1) and (<em>c</em>, 0) is
<em>y</em> - 0 = (0 - 1)/(<em>c</em> - 0) (<em>x</em> - <em>c</em>) ==> <em>y</em> = 1 - <em>x</em>/<em>c</em>
Let <em>L</em> denote the given lamina,
<em>L</em> = {(<em>x</em>, <em>y</em>) : 0 ≤ <em>x</em> ≤ <em>c</em> and 0 ≤ <em>y</em> ≤ 1 - <em>x</em>/<em>c</em>}
Then the center of mass of <em>L</em> is the point with coordinates given by
where is the first moment of <em>L</em> about the <em>x</em>-axis, is the first moment about the <em>y</em>-axis, and <em>m</em> is the mass of <em>L</em>. We only care about the <em>y</em>-coordinate, of course.
Let <em>ρ</em> be the mass density of <em>L</em>. Then <em>L</em> has a mass of
Now we compute the first moment about the <em>y</em>-axis:
Then
but this clearly isn't independent of <em>c</em> ...
Maybe the <em>x</em>-coordinate was intended? Because we would have had
and we get
Answer:
400 x 8% = $32.00
Step-by-step explanation:
So your TOTAL number is 30, and they're saying only 5/6 of that TOTAL number showed up. So by a simply multiplication you'll find how many showed up:
30 x 5/6 = 25