Answer:
We have function,

Standard Form of Sinusoid is

Which corresponds to

where a is the amplitude
2pi/b is the period
c is phase shift
d is vertical shift or midline.
In the equation equation, we must factor out 2 so we get

Also remeber a and b is always positive
So now let answer the questions.
a. The period is


So the period is pi radians.
b. Amplitude is

Amplitude is 6.
c. Domain of a sinusoid is all reals. Here that stays the same. Range of a sinusoid is [-a+c, a-c]. Put the least number first, and the greatest next.
So using that<em> rule, our range is [6+3, -6+3]= [9,-3] So our range</em> is [-3,9].
D. Plug in 0 for x.





So the y intercept is (0,-3)
E. To find phase shift, set x-c=0 to solve for phase shift.


Negative means to the left, so the phase shift is pi/4 units to the left.
f. Period is PI, so use interval [0,2pi].
Look at the graph above,
Answer:
The answer is,

Step-by-step explanation:

Firstly, you have to get rid of fraction by multiplying (r-3) to both side and expand out:
t × (r-3) = r/(r-3) × (r-3)
rt - 3t = r
Then you have to move all the "r" variables to one side and other variables to the other side:
rt - r = 3t
You can make "r" as a subject by taking out the common term, you can see that the common term on the left is "r" so you can bring out:
r(t-1) = 3t
r = 3t/(t-1)
In one turn of the wheel, you will move the circumference of the wheel. To find the circumference, you just do π × diameter, so π × 34 = 106.8 inches. In 5 turns, you will just go 5 times the circumference, so you multiply by 5 to get 534.1 inches. I hope this helps!
Answer:
322.63%
Step-by-step explanation:
Volume of square pyramid = 1/3a²h
a = base side length ; h = height
Volume of pyramid A :
a = 18 ; h = 9
V = 1/3*18²*9
V = 18² * 3
V = 972 in³
Volume of pyramid B = 3136 in³
Volume of pyramid B / Volume of pyramid A
(3136 / 972) * 100% = 322.63%
Answer:
Step-by-step explanation: This is the answer