Answer:
a. t
b. a (or x = a)
c. r
d.
1) c
2) t
3) a
4) p
Step-by-step explanation:
a. Draw vertical line passing through the point (c,0). This line intersects the graph at point L. Point L has coordinates (c,t), so
b. If 
draw the horizontal line passing through the point (0,p). This line intersects the graph at point K with coordinates (a,p), so 
c. Note that 
then
d. Coordinates of point L are (c,t), coordinates of point K are (a,p)
20 cups of 10 oz each it's 200 oz
1 gallon it's 4(32)=128 oz
2 gallons is 256 oz. she will need to buy two gallons
<h3>Answer: 6pi radians</h3>
(this is equivalent to 1080 degrees)
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Explanation:
f(x) = sin(x/3)
is the same as
f(x) = 1*sin( (1/3)(x-0) )+0
and that is in the form
f(x) = A*sin( B(x-C) )+D
The letters A,B,C,D are explained below
A = helps find the amplitude
B = 2pi/T, where T is the period
C = determines phase shift (aka left/right shifting)
D = determines vertical shift = midline
All we care about is the value of B as that is the only thing that is connected to the period T
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Compare f(x) = 1*sin( (1/3)(x-0) )+0 with f(x) = A*sin( B(x-C) )+D and we see that B = 1/3, so,
B = 2pi/T
1/3 = 2pi/T
1*T = 3*2pi ... cross multiply
T = 6pi
The period is 6pi radians. This is equivalent to 1080 degrees. To convert from radians to degrees, you multiply by (180/pi).
I believe you would need to divide 123.75 by 7.50.
The equation would look something like this:
7.50x=123.75
Where x = # of hours worked
123.75 / 7.50 = 16.5
so x = 16.5
You worked for 16.5 hours
