Answer:
A) Not mutually exclusive
Step-by-step explanation:
Given
Required
Determine if they are mutually exclusive or not
Mutually exclusive are defined by:
So, we have:
Take LCM
By comparing:
---- Calculated
---- Given
We can conclude that A and B are not mutually exclusive because:
The answer would be 24pi inches.
You can find this by using the formula for a circumference and plugging in the value of the radius.
C = 2pi*r
C = 2pi * 12
C = 24pi
2/3 + 3/4 = 8/12 + 9/12 = 17/12 = 1 5/12
1 + 5/12 = 12/12 + 5/12 = 17/12 = 1 5/12
2/3 + 3/4 = 1 + 5/12
Answer:
simplified : k/2 - 3/5
Step-by-step explanation:
hope this helps <3
Yay, implicit differnentiation
when you take the derivitive of y, you multiply it by dy/dx
example
dy/dx y^2=2y dy/dx
for x, the dy/dx dissapears
ok
so differnetiate and solve for dy/dx
3y² dy/dx-(y+x dy/dx)=0
expand
3y² dy/dx-y-x dy/dx=0
3y² dy/dx-x dy/dx=y
dy/dx (3y²-x)=y
dy/dx=y/(3y²-x)
so at (7,2)
x=7 and y=2
dy/dx=2/(3(2)²-7)
dy/dx=2/(3(4)-7)
dy/dx=2/(12-7)
dy/dx=2/5
answer is 2/5
