If the company makes 1 canoe only, then the cost is, the fixed cost plus how much it costs for the 1 canoe, or
180,000 + 1*120
if it makes 2 canoes
180,000 + 2*120
3 canoes 180,000 + 3*120
4canoes 180,000 + 4*120
x canoes 180,000 + x*120
so... we dunno what "x" is, but whatever "x" maybe, the cost ends up as 180,000 + x*120, or 180,000 + 120x
now, let's see the revenue
1 canoe 1 * 240
2 canoes 2*240
3 canoes 3*240
x canoes x*240
so.. whatever "x" maybe, the Revenue is x*240 or 240x
break-even point is when, the amount of expenses and earnings cancel each other out, or, there's no profit, but there's no loss either, same amount that's spent is also earned back
so, the break-even point occurs when Revenue = Cost
180,000 + 120x = 240x <--- solve for "x"
Starting weight: 5/6 lb. Of this, Jan used 1/5, which would be (1/5)(5/6) lb,
or 1/6 lb, leaving 4/6 lb, or 2/3 lb. unused.
2/3 lb
Now divide 2/3 lb by 8 portions: ----------------- = (2/24) lb/portion, or
8 portions
1/12 lb/portion.
Answer:

Step-by-step explanation:
step 1
Find PN
we know that
PN is a diameter
PS is a radius

so

step 2
Find the measure of arc MP



step 3
Find the measure of angle MNP
we know that
The inscribed angle measures half that of the arc comprising

substitute the value

step 4
Find the measure of angle MPN
we know that
The inscribed angle measures half that of the arc comprising

substitute the value

step 5
Find the measure of angle NMP
The sum of the internal angles of a triangle must be equal to 180 degrees


therefore
The triangle MNP is a right triangle
step 6
Find the length MN
In the right triangle MNP

substitute the values


Answer:
The inverse function is 
Step-by-step explanation:
The given function is
.
This function is only invertible on the interval,
.
To find the inverse on this interval, we interchange
and
.

We now make
the subject to get,



But the given interval is
, This implies that,
.

Parameterize the cylinder (call it
) by

with
and
. Then

Take the normal vector to
to be

Then the flux of
across
is

