4 is b p=2.5n
5 is D 72%decrease
I’m not sure if you’re looking for a specific answer, but on a broad spectrum science is typically just applied mathematics. Math can be incorporated into all sciences, especially physics. On occasion, science can also be included in math, like when using derivatives to find the acceleration of a moving object. All in all though, the two subject are very connected.
3x+1.5y≤25 X represents board games and each board game weighs 3 lbs (3x). Y represents remote controlled cars which each weigh 1.5 lbs (1.5y). The inequality sign (less than or equal to, ≤) is used because in total the amount of board games and remote controlled cars CANNOT exceed 25 lbs.
Up
X= 1,2,11/4,4,5
Y=6,1,-1/8,3,10
Answer:
The volume is 
cubic units.
Step-by-step explanation:
The given curve is
The given line is
Equate both the functions to find the intersection point of both line and curve.
According to washer method:
![V=\pi \int_{a}^{b}[f(x)^2-g(x)^2]dx](https://tex.z-dn.net/?f=V%3D%5Cpi%20%5Cint_%7Ba%7D%5E%7Bb%7D%5Bf%28x%29%5E2-g%28x%29%5E2%5Ddx)
Using washer method, where a=0 and b=1, we get
![V=\pi \int_{0}^{1}[(7x)^2-(7x^6)^2]dx](https://tex.z-dn.net/?f=V%3D%5Cpi%20%5Cint_%7B0%7D%5E%7B1%7D%5B%287x%29%5E2-%287x%5E6%29%5E2%5Ddx)
![V=\pi \int_{0}^{1}[49x^2-49x^{12}]dx](https://tex.z-dn.net/?f=V%3D%5Cpi%20%5Cint_%7B0%7D%5E%7B1%7D%5B49x%5E2-49x%5E%7B12%7D%5Ddx)
![V=49\pi \int_{0}^{1}[x^2-x^{12}]dx](https://tex.z-dn.net/?f=V%3D49%5Cpi%20%5Cint_%7B0%7D%5E%7B1%7D%5Bx%5E2-x%5E%7B12%7D%5Ddx)
![V=49\pi [\frac{x^3}{3}-\frac{x^{13}}{13}]_0^1](https://tex.z-dn.net/?f=V%3D49%5Cpi%20%5B%5Cfrac%7Bx%5E3%7D%7B3%7D-%5Cfrac%7Bx%5E%7B13%7D%7D%7B13%7D%5D_0%5E1)
![V=49\pi [\frac{1^3}{3}-\frac{1^{13}}{13}-(0-0)]](https://tex.z-dn.net/?f=V%3D49%5Cpi%20%5B%5Cfrac%7B1%5E3%7D%7B3%7D-%5Cfrac%7B1%5E%7B13%7D%7D%7B13%7D-%280-0%29%5D)
![V=49\pi [\frac{1}{3}-\frac{1}{13}]](https://tex.z-dn.net/?f=V%3D49%5Cpi%20%5B%5Cfrac%7B1%7D%7B3%7D-%5Cfrac%7B1%7D%7B13%7D%5D)
Therefore the volume is cubic units.
