Answer:
B. d = 4 cos(π/3 t)
Step-by-step explanation:
As at t=0 the amplitude is 4 cm, so the simple harmonic motion will be in cosine form. As in case of sine function, the value of function at t=0 is 0.
sin 0=0
We know that,
y = a. cosb(t + c) + d
Period = 2 π / b
Horizontal shift or phase shift is c,
Amplitude is a,
Vertical shift is d.
As in this case the amplitude is given to be 4, hence = 4
Also the period is given as 6.
That is, 2π/b = 6
b = 2π/6 = π/3
Here horizontal and vertical shifts are 0.
That is c = 0 and d = 0
Plug those values in the above form, we get
y = 4.cos π/3 (t + 0) + 0
y = 4 cos (π/3)t
Answer: B. d = 4 cos(π/3 t)
Hope this will helpful.
Thank you.
8/9
You have to put them all in the same type of decimal :
-1/2= -0,5 and 8/9 = 0,8888888888
Therefore you just have to see which one of the three numbers is bigger
For this case we have the following system of equations:
We can Rewrite the system of equations of the form:
Where,
A: coefficient matrix
x: incognita vector
b: vector solution
We have then:
![A=\left[\begin{array}{ccc}5&3\\-8&-3\end{array}\right]](https://tex.z-dn.net/?f=%20A%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D5%263%5C%5C-8%26-3%5Cend%7Barray%7D%5Cright%5D%20%20)
![x=\left[\begin{array}{ccc}x\\y\end{array}\right]](https://tex.z-dn.net/?f=%20x%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dx%5C%5Cy%5Cend%7Barray%7D%5Cright%5D%20%20)
![b=\left[\begin{array}{ccc}17\\9\end{array}\right]](https://tex.z-dn.net/?f=%20b%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D17%5C%5C9%5Cend%7Barray%7D%5Cright%5D%20%20)
Then, the determinant of matrix A is given by:
Answer:
The determinants for solving this linear system are:
Answer:87
Step-by-step explanation:
19×4=76
76+7=83
83+4=87
Their approximate heating expense would be $1,920. Hope this helps!
