Answer:
a is the _amplitude_(Length of the blades)_
The vertical shift, k, is the _Mill shaft height_


Step-by-step explanation:
In this problem the amplitude of the sinusoidal function is given by the length of the blades.

The mill is 40 feet above the ground, therefore the function must be displaced 40 units up on the y axis. So:

We know that the blades have an angular velocity w = 3 rotations per minute.
One rotation = 
1 minute = 60 sec.
So:


Finally:
a is the _amplitude_(Length of the blades)_
The vertical shift, k, is the _Mill shaft height_


Step-by-step explanation:
equation format: y = mx + b where m is slope and b is the y intercept.
From the points given we find that it is a horizontal line, which means slope or m = 0. So we know so far:
y = 0x + b or y = b
The y-intercept occurs where x = 0. This occurs at y = -7. So the equation for these two points:
EQUATION: y = -7
(Plotted graph attached)
Answer:
$834.40
Step-by-step explanation:
Find how many kg Lulu has total by adding 43.50 and 43.50+25 together.
You get 112 kg, and then multiply that by the price per kg, so 112 * 7.45 is 834.40.
It has rotational symmetry, and the angle of rotation is 90 degrees
Answer:
Option C
Step-by-step explanation:
Given function is,
f(x) = 9x² - 12
Steps to find the inverse of the given function,
Step 1,
Write the function in the form of an equation,
y = 9x² - 12
Step 2,
Interchange variables 'x' and 'y' in the equation,
x = 9y² - 12
Step 3,
Solve this equation for 'y',
x = 9y² - 12
9y² = x + 12


Here, x > -12
Step 4,
Covert this equation into function,

Therefore, Option C will be the answer.