0.75 (1/2x) = 60
60/3 is 20, which is 25% of her remaining money,
So her total remaining money is $80.
Then 80 x 2 = 160
Answer:
Here's an example of long division:
Step-by-step explanation:
Let's just do 48 divided by 6. First you have to multiply the 6 (the number we're dividing with) until it reaches the closest to 48 (6 x 8 = 48). Now you subtract 48 from 48, and you get zero. So 48 divided by 6 would be 0.
Hope this answers your question!
Answer:
a) 
b) 
c) the points of the form (x, -x) for x≠0
Step-by-step explanation:
a)
If φ(x, y) = arctan (y/x), the vector field F = ∇φ would be
On one hand we have,
On the other hand,
So
b)
The domain of definition of F is
i.e., all the plane X-Y except the (0,0)
c)
Here we want to find all the points such that
where k is a real number other than 0.
But this means
So, all the points in the line y = -x except (0,0) are parallel to the vector field F, that is, the points (x, -x) with x≠ 0
Yes because 4x3^x =12^x since the coefficient is added to the answer because it is in the 3.