Partial differentiation of a function with more than one variables refers to its derivative being taken with respect to one of those variables, while the rest being held as a constant.
An example is the volume of a cylinder given by:
The volume requires two variables in order to work out the volume, namely the radius and the height.
Using partial differentiation, its partial derivative can become:
This symbol is used in place of the derivative symbol, in order to distinguish total derivatives and partial derivatives.
Answer: 15
Step-by-step explanation:
It’s pretty simple!
So first we set up the proportion, 6:10
We know that 3 is a common factor for 6 and 9, so we divide 6 by 2 and 10 by 2 and get the proportion 3:5, now we multiply both numbers by 3,
9:15!
For these types of algebra problems, you're trying to get whatever they tell you by itself on one side of the equals sign, meaning that you have to move everything else over by adding/subtracting or whatever else.
In this problem you have to get s by itself. All you do is just subtract 4r from both sides to get:
-2 - 4r = s
Because there are 2 variables/unknowns (s and r) you have no way of actually solving this problem without having a 2nd equation or something. So thats all you can do
Answer:
y = 3 and x = - 6
Step-by-step explanation:
y + 4 = 0 ( subtract 4 from both sides )
y = - 4
this is the equation of a horizontal line, parallel to the x- axis.
a parallel line will also be horizontal with equation
y = c ( c is the value of the y- coordinates the line passes through )
the line passes through (- 6, 3 ) with y- coordinate 3 , then
y = 3 ← equation of parallel line
a line perpendicular to the given line will be a vertical line with equation
x = c ( c is the value of the x- coordinates the line passes through )
the line passes through (- 6, 3 ) with x- coordinate - 6 , then
x = - 6 ← equation of perpendicular line
Alright! We know that the total number of students is 100%. So, if 65% of the students brought a hot lunch, in order to find how many students brought a packed lunch you subtract it from 100%:
[100 - 65] = 35
So 35% of the students brought a packed lunch. Now, in order to find the fraction of students you simply put 35% of students over the total percent of students (100%)"
[35/100]
Then you simply:
[35/100] ⇒ [7/20]
The answer is 7/20ths of the students brought a packed lunch.
More:
Decimal form - .35
Percentage form - 35%
