A 4-kilogram ham costs $16/kg. Find the cost per pound.
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Answer:
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Step-by-step explanation:
I'm sure you are familiar with the product rule,
If y = u*v => dy/dx = u * dv/dx + v * dy/dx <----- product rule
In this case:
Now remember the sum rule:
For this second bit we apply the chain rule:
If we substitute these values back into the expression...
...we get the following:
The rest is just pure simplification:
Now let's equate this to equal 8 for the second bit and solve for x:
The displacement is 18.03 steps, and the direction is 47.25°
<h3>How to get the displacement?</h3>
We know that displacement is the difference between the final position and the initial position.
We assume the initial position (0, 0). Let's define the positive x-axis as the east and the positive y-axis as the north.
First, the student moves 8 steps east, so she is at:
(0 + 8, 0)
Then she moves 6 steps northeast, so the new position is:
(6*cos(45°) + 8, 6*cos(45°))
Finally, she moves 9 steps due north, so we have:
(6*cos(45°) + 8, 6*cos(45°) + 9)
Then the final position is:
(12.24, 13.24)
So the displacement is:
D = (12.24, 13.24) - (0, 0) = (12.24, 13.24)
The magnitude of the displacement is:
So the magnitude is 18.03 steps.
And the direction is given by the arctangent of the quotient between the y-component and the x-component:
If you want to learn more about displacements:
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