Step-by-step explanation:
Given:
This field will have a scalar potential if it satisfies the condition . While the first x- and y- components of are satisfied, the z-component doesn't.
Therefore the field is nonconservative so it has no scalar potential. We can still calculate the work done by defining the position vector as
and its differential is
The work done then is given by
Answer:
(1, π/3 +2kπ), (-1, 4π/3 +2kπ) . . . where k is any integer
Step-by-step explanation:
Adding any multiple of 2π to the angle results in the same point in polar coordinates.
Adding 180° (π radians) to the point effectively negates the magnitude. As above, adding any multiple of 2π to this representation is also the same point in polar coordinates.
There are an infinite number of ways the coordinates can be written.
First, pass all the rate of inflation to ballons/hour
John: 1 b/15s * 3600 s/h = 240 b/h
Jamie: 1 b/20s * 3600 s/h = 180 b/h
Jake: 180 b/h
Then sum the rates to obtain the total rate
Total ballons per hour: 240 b/h + 180 b/h + 180b/h = 600 b/h
If it passes x hours the number of ballons inflated is 600*x
The number of ballon defective are 600*x/80
The number of ballons effectiveley inflated = 600x -600x/80 = 600x - 7.5x = 592.5x.
Answer: option A)
Full question
Select the expression that has a sum of 74/100
A.70/100+4/10
B.68/100+6/10
C.6/10+12/100
D.4/10+34/34/100
1. Observe question
2. Crossout way to find answer
A is not, because the sum of A is 110/100
B is not, because the sum of B is 128/100
C is not, because the sum of C is 72/100
Therefore, the answer has to be D
One angle = 90°
the other 3 angles = 360 - 90 = 270
so
x + 2x + a = 270 but a = 168
3x + 168 = 270
3x = 102
x = 102/3
x = 34
answer
x = 34