To get the answer, you will just use this operation: Division.
Let's divide it. 81 ÷ 13.5 = 6.
So, the answer is
Ben earns $6 per hour at the fun station.
The key idea is that, if a vector field is conservative, then it has curl 0. Equivalently, if the curl is not 0, then the field is not conservative. But if we find that the curl is 0, that on its own doesn't mean the field is conservative.
1.

We want to find
such that
. This means



so
is conservative.
2.

Then




so
is conservative.
3.

so
is not conservative.
4.

Then




so
is conservative.
Answer:
30 km/h car
Step-by-step explanation:
From analysis the car traveling at 30 km/h has greater kinetic energy
we can deduce it from the expression of kinetic energy which is

Assuming the mass m= 1 kg
For the 30 km/h

For the 15 km/h

Though the kinetic energy is a function of mass and velocity, but from our analysis the faster moving object has more KE
Answer:
P and Q are two points on the line x-y+1=0 and are at a distant of 5 units from the origin. Find the area of triangle POQ.
Step-by-step explanation:
P and Q are the intersection points of
x-y+1 = 0 and the circle x^2 + y^2 = 25
sub y = x+1 into the circle
x^2 + (x+1)^2 = 25
x^2 + x^2 + 2x + 1 - 25 = 0
x^2 + x - 12 = 0
(x+4)(x-3) = 0
x = 3 or x = -4
y = 4 or y = -3
so P(3,4) and Q(-4,3) are our two points
Height of triangle.
h = |0 - 0 + 1|/√2 = 1/√2
PQ = √( (-7)^2 + 1^2) = √50 = 5√2
area POQ = (1/2)(1/√2)(5√2) = 5/2 square units
hope this helped
The expression of sinU as a fraction is 12/13
Find the diagram attached.
To get the fraction represented by sinU, we will use the SOH CA TOA identity.
From the diagram;
- Opposite = ST = 12 (angle opposite to m<U)
Since sin theta = opp/hyp
SinU = ST/SU
SinU = 12/13
Hence the expression of sinU as a fraction is 12/13
Learn more on SOH CAH TOA here: brainly.com/question/20734777