Answer:
D
Step-by-step explanation:
Solution:-
The standard sinusoidal waveform defined over the domain [ 0 , 2π ] is given as:
f ( x ) = sin ( w*x ± k ) ± b
Where,
w: The frequency of the cycle
k: The phase difference
b: The vertical shift of center line from origin
We are given that the function completes 2 cycles over the domain of [ 0 , 2π ]. The number of cycles of a sinusoidal wave is given by the frequency parameter ( w ).
We will plug in w = 2. No information is given regarding the phase difference ( k ) and the position of waveform from the origin. So we can set these parameters to zero. k = b = 0.
The resulting sinusoidal waveform can be expressed as:
f ( x ) = sin ( 2x ) ... Answer
So that is equal to 180 miles per 2 hours which is 90 miles per hour if each hour has the same m/hr rate.
You can set up a proportion:
let x = number of miles per hour

cross multiply and you get
2x=180
divide both sides by 2 and you get
x=90
so you get the same answer both ways,
90 miles per hour
Answer:
It is either 1.5 inches per hour or 1 inch in 2/3 hours. I also think 1:3
Step-by-step explanation:
Three inches in six hours is equivalent to 0.5 inches per hour.
Answer:
-5
Step-by-step explanation:
Answer:
(3x + 5)(9x^2 - 15x + 25)
Step-by-step explanation:
27x^3 + 125
= (3x)^3 + 5^3
= (3x + 5) ((3x)^2 - (3x)(5) + 5^2)
= (3x + 5)(9x^2 - 15x + 25)
FYI: a³ + b³ = (a + b)(a² – ab + b²)