Answer:
B
Step-by-step explanation:
because it says between 4 and 8 and doesn't have a negative so its positive
Start with 8*2=16
116-8= 108
108(16)=1728
3^2+4=13 13(1728)=22464
4(22464)=89856
The answer is 89,856
Answer:
Slope:-63
Y-intercept: (0,825)
Step-by-step explanation:
Slope= y2-y1 ÷ x2-x1
321-699 ÷ 8-2
-378 ÷ 6 =-63
Y-intercept:
y=-63x+b
to get b (y-intercept) plug in one of the points and solve.
699=-63(2)+b
699=-126+b
699+126=-126+126+b
699+126=0+b
825=b
ANSWER
4 ft
EXPLANATION
The velocity equation of the oscillating spring is given by the function.
![v(t)=2 \sin(t) \: \: {ms}^{ - 1}](https://tex.z-dn.net/?f=v%28t%29%3D2%20%20%5Csin%28t%29%20%20%20%5C%3A%20%20%5C%3A%20%20%7Bms%7D%5E%7B%20-%201%7D%20)
To find the displacement function, we need to to Integrate the velocity function.
![s(t) = \int \: 2 \sin(t) dt](https://tex.z-dn.net/?f=%20s%28t%29%20%3D%20%5Cint%20%5C%3A%202%20%5Csin%28t%29%20dt)
![s(t) = - 2 \cos(t) + k](https://tex.z-dn.net/?f=s%28t%29%20%3D%20%20-%20%202%20%5Ccos%28t%29%20%20%2B%20k)
At time t=0, there was no displacement.
This implies that,
![s(0) = 0](https://tex.z-dn.net/?f=s%280%29%20%3D%200)
![0= - 2 \cos(0) + k](https://tex.z-dn.net/?f=0%3D%20%20-%20%202%20%5Ccos%280%29%20%20%2B%20k)
![0= - 2 + k](https://tex.z-dn.net/?f=0%3D%20%20-%20%202%20%2B%20k)
![k = 2](https://tex.z-dn.net/?f=k%20%3D%202)
The displacement function then becomes,
![s(t) = - 2 \cos(t) + 2](https://tex.z-dn.net/?f=s%28t%29%20%3D%20%20-%20%202%20%5Ccos%28t%29%20%20%2B%202)
To find the displacement over the first π seconds, we put
![t = \pi](https://tex.z-dn.net/?f=t%20%3D%20%5Cpi)
into the equation for the displacement to get,
![s(\pi) = - 2 \cos(\pi) + 2](https://tex.z-dn.net/?f=s%28%5Cpi%29%20%3D%20%20-%20%202%20%5Ccos%28%5Cpi%29%20%20%2B%202)
![s(\pi) = - 2 ( - 1) + 2](https://tex.z-dn.net/?f=s%28%5Cpi%29%20%3D%20%20-%20%202%20%28%20-%201%29%20%20%2B%202)
![s(\pi) = 2 + 2 =4 ft](https://tex.z-dn.net/?f=s%28%5Cpi%29%20%3D%20%202%20%20%2B%202%20%3D4%20ft)
Yes it is the same. 1/4 +1/4 = 1/2. so 9/10-1/2=9/10-1/2