Answer:
Step-by-step explanation:
negative
10^13 cause you add the exponents together
The ODE is separable:
![3y\,\mathrm dx+(xy+5x)\,\mathrm dy=0\implies x(y+5)\,\mathrm dy=-3y\,\mathrm dx\implies\dfrac{y+5}y\mathrm dy=-\dfrac3x\,\mathrm dx](https://tex.z-dn.net/?f=3y%5C%2C%5Cmathrm%20dx%2B%28xy%2B5x%29%5C%2C%5Cmathrm%20dy%3D0%5Cimplies%20x%28y%2B5%29%5C%2C%5Cmathrm%20dy%3D-3y%5C%2C%5Cmathrm%20dx%5Cimplies%5Cdfrac%7By%2B5%7Dy%5Cmathrm%20dy%3D-%5Cdfrac3x%5C%2C%5Cmathrm%20dx)
Integrating both sides gives
![\displaystyle\int\left(1+\frac5y\right)\,\mathrm dy=-3\int\frac{\mathrm dx}x\implies y+5\ln|y|=-3\ln|x|+C](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Cint%5Cleft%281%2B%5Cfrac5y%5Cright%29%5C%2C%5Cmathrm%20dy%3D-3%5Cint%5Cfrac%7B%5Cmathrm%20dx%7Dx%5Cimplies%20y%2B5%5Cln%7Cy%7C%3D-3%5Cln%7Cx%7C%2BC)
Answer:
132
Step-by-step explanation:
Divide it into 2 shapes : a triangle and a rectangle.
The triangle's base length is 20-(8+6) = 6
The height is 10-6 = 4
The triangle's area = 6*4/2 = 12
The rectangle's area is 6 * 20 = 120
Add the two together, and you get 12+120 = 132
Answer: Jody can buy at most 63 sheets of paper
Step-by-step explanation:
you would start by subtracting $18.25 from the total $40, which leaves you with $21.75
you then do 21.75 ÷ (divided by) 0.34
that gives you 63.971, and you can only buy whole sheets of paper, you round to 63 and thats your answer