Answer: x(t) = 5cm*cos(t*pi/2s)
Step-by-step explanation:
This is a sinusoidal equation, so we can write this as:
x(t) = A*cos(c*t + p) + B
where B is the axis around the movement, as the resting position is x = 0, we have B = 0
so x(t) = A*cos(c*t + p)
A is the amplitude of the oscilation, c is the frequency and p is a phase.
We know that when t = 0s, we have x(2s) = 5cm
if this is the maximum displacement, then knowing that the maximum of the cosine is cos(0) = 1
then we must have that p = 0
x(0s) = A*cos(0) = 5cm
then we have A = 5cm
Now, when t = 2s, we have:
x(2s) = 5cm*cos(2s*c) = -5cm
then 2s*c is the minimum of the cos(x) function, this is:
cos(pi) = -1
then 2s*c = pi
c = pi/2s.
then our function is:
x(t) = 5cm*cos(t*pi/2s)
Answer: =−3.44
Step-by-step explanation: Hope this help :D
The answer is 46. Hope this helps!
Answer:
7
Step-by-step explanation:
The graph is moving up by 3 units and right by 7 units. The 1st point and 2nd point are 7 units apart, which is where I got my answer.
Answer:
B. $0.50
Step-by-step explanation:
Assuming Printer C runs 60 hours (not 6) in Week 3, the equations for the number of cards per hour produced by each of the printers are ...
- 40a +50b +45c = 7950
- 45a +50b +40c = 7800
- 55a +30b +60c = 9600
The solutions to these equations can be found by various means. A graphing calculator (or any of several web sites) can solve the matrix equation to tell you the card production rates (in cards per hour) of each of the printers are ...
So the question about ink cost can be answered for printer B:
... ($15/hour)/(30 cards/hour) = (15/30) $/card = $0.50/card