Answer:
The particle will travel 6 feet in first 2 seconds.
Step-by-step explanation:
We have been given that a particle moves according to the velocity equation
. We are asked to find the distance that the particle will travel in its first 2 seconds.


Now, we will eliminate the absolute value sign as:

![s(t)=[\frac{6t^3}{3}-\frac{18t^2}{2}+12t]^1_0 +[\frac{-6t^3}{3}+\frac{18t^2}{2}-12t]^2_1](https://tex.z-dn.net/?f=s%28t%29%3D%5B%5Cfrac%7B6t%5E3%7D%7B3%7D-%5Cfrac%7B18t%5E2%7D%7B2%7D%2B12t%5D%5E1_0%20%2B%5B%5Cfrac%7B-6t%5E3%7D%7B3%7D%2B%5Cfrac%7B18t%5E2%7D%7B2%7D-12t%5D%5E2_1)
![s(t)=[2t^3-9t^2+12t]^1_0 +[-2t^3+9t^2-12t]^2_1](https://tex.z-dn.net/?f=s%28t%29%3D%5B2t%5E3-9t%5E2%2B12t%5D%5E1_0%20%2B%5B-2t%5E3%2B9t%5E2-12t%5D%5E2_1)





Therefore, the particle will travel 6 feet in first 2 seconds.
Answer:
30°, 45°, and 105°
Step-by-step explanation:
Find the value of x
2x + 3x+ 7x = 180
12x = 180
x = 180/12
x=15
Get the value of the angles
2x = 2(15)
3x= 3(15)
7x= 7(15)
The measure of the angles are 30°, 45°, and 105° respectively.
Answer:
3) 
4) 
Step-by-step explanation:
Answer:
192
Step-by-step explanation:
Its nothing complicated just add their scores together.
Step-by-step explanation:
Principal=1500
Time=18months = 18×12=216
Interest=6%
now
SI=P×T×R÷100
SI=1500×216×6÷100
SI=1944000÷100
SI=19440 is the answer