The decimal version of 2 8/100 is 2.08
Answer:
1) Communism: government led by a single party often authoritarian.
2) Democracy: government that allows people to choose their leaders.
3) Socialism: government that owns goods and services. It encourages cooperation rather than competition.
4) Oligarchy: government of a few individuals usually wealthy, of certain race often authoritative rulers.
5) Monarchy: Government of one person that usually inherits it. Often inherited by gender. They can be constitutional with limited power or absolute, with unlimited power.
6) Theocracy: leader of a specific religion.
7) Totalitarianism: Government of one person without limitations of power.
8) Military Dictatorship: countries ruled by one person with absolute power.
Step-by-step explanation:
Let c and d be the number of cds and dvds respectively.
c+d=12
c=12-d
The we are told that:
2c+3d=31, using c found above in this equation gives you:
2(12-d)+3d=31
24-2d+3d=31
24+d=31
d=7
So Phillip bought 7 dvds.
check...
3*7+2(12-7)=31
21+2(5)=31
21+10=31
31=31
Answer:
![f_x(x,y,z)=4\sin (y-z)](https://tex.z-dn.net/?f=f_x%28x%2Cy%2Cz%29%3D4%5Csin%20%28y-z%29)
![f_x(x,y,z)=4x\cos (y-z)](https://tex.z-dn.net/?f=f_x%28x%2Cy%2Cz%29%3D4x%5Ccos%20%28y-z%29)
![f_z(x,y,z)=-4x\cos (y-z)](https://tex.z-dn.net/?f=f_z%28x%2Cy%2Cz%29%3D-4x%5Ccos%20%28y-z%29)
Step-by-step explanation:
The given function is
![f(x,y,z)=4x\sin (y-z)](https://tex.z-dn.net/?f=f%28x%2Cy%2Cz%29%3D4x%5Csin%20%28y-z%29)
We need to find first partial derivatives of the function.
Differentiate partially w.r.t. x and y, z are constants.
![f_x(x,y,z)=4(1)\sin (y-z)](https://tex.z-dn.net/?f=f_x%28x%2Cy%2Cz%29%3D4%281%29%5Csin%20%28y-z%29)
![f_x(x,y,z)=4\sin (y-z)](https://tex.z-dn.net/?f=f_x%28x%2Cy%2Cz%29%3D4%5Csin%20%28y-z%29)
Differentiate partially w.r.t. y and x, z are constants.
![f_y(x,y,z)=4x\cos (y-z)\dfrac{\partial}{\partial y}(y-z)](https://tex.z-dn.net/?f=f_y%28x%2Cy%2Cz%29%3D4x%5Ccos%20%28y-z%29%5Cdfrac%7B%5Cpartial%7D%7B%5Cpartial%20y%7D%28y-z%29)
![f_y(x,y,z)=4x\cos (y-z)](https://tex.z-dn.net/?f=f_y%28x%2Cy%2Cz%29%3D4x%5Ccos%20%28y-z%29)
Differentiate partially w.r.t. z and x, y are constants.
![f_z(x,y,z)=4x\cos (y-z)\dfrac{\partial}{\partial z}(y-z)](https://tex.z-dn.net/?f=f_z%28x%2Cy%2Cz%29%3D4x%5Ccos%20%28y-z%29%5Cdfrac%7B%5Cpartial%7D%7B%5Cpartial%20z%7D%28y-z%29)
![f_z(x,y,z)=4x\cos (y-z)(-1)](https://tex.z-dn.net/?f=f_z%28x%2Cy%2Cz%29%3D4x%5Ccos%20%28y-z%29%28-1%29)
![f_z(x,y,z)=-4x\cos (y-z)](https://tex.z-dn.net/?f=f_z%28x%2Cy%2Cz%29%3D-4x%5Ccos%20%28y-z%29)
Therefore, the first partial derivatives of the function are
.
Answer:
0.1333 or ![\frac{2}{15}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B15%7D)
Step-by-step explanation:
The attached image contains the steps.