Decibel is directly proportional to number of cars passing the point. That is,
69 db ----- 139 cars
x db ----- 17 cars
x = number of cars passing the point per minute on a weekend.
Then,
x= (69*17)/139 = 8.43 db ≈ 8 db
To make 17/4 as a mixed number, you would have to do 17 divided by 4. You would get 4.25
Then just put that decimal into a fraction. That would be 4 1/4
Answer:
x = 2+1/3i or 2-1/3i
Step-by-step explanation:
The equation of interest can be written in vertex form as ...
9(x -2)² +1 = 0
so its solutions can be found by subtracting 1, dividing by 9, taking the square root, then adding 2.
x = 2 ± √(-1/9)
In the desired form, the zeros of the given expression are ...
x = 2 +1/3i or 2 -1/3i
Answer:
Yp = t[Asin(2t) + Acos(2t)]
Yp = t²[At² + Bt + C]
Step-by-step explanation:
The term "multiplicity" means when a given equation has a root at a given point is the multiplicity of that root.
(a) r1=-2i; r2=2i g(t)=2sin(2t) + 3cos(2t)
As you can notice the multiplicity of this equation is 1 since the roots r1 = 2i and r2 = 2i appear for only once.
The form of a particular solution will be
Yp = t[Asin(2t) + Acos(2t)]
where t is for multiplicity 1
(b) r1=r2=0; r3=1 g(t)= t² +2t + 3
As you can notice the multiplicity of this equation is 2 since the roots r1 = r2 = 0 appears 2 times.
The form of a particular solution will be
Yp = t²[At² + Bt + C]
where t² is for multiplicity 2
Answer: x=20
Step-by-step explanation:
The entire thing is equal to 180 degrees. so, 100+3x+x=180, which can be simplified to 100+4x=180. If we subtract 100 from both sides, we get 4x=80, 80 divided by 4 is 20, so x=20
