Answer:
Option B.
Step-by-step explanation:
Remember that the profit is defined as the difference between the revenue and the cost.
So, having a profit y = 0 means that the woodworker did not win nor lose anything.
Then the zeros of the function, the values of x such that the graph intersects the x-axis, are the prices such that she does not win nor loss anything.
In the graph we can see that the zeros are at:
x = 15 (the first one)
x = 70 (the second one)
so the zeros are at x = 15 and x = 70, and these are the prices such that the profit is zero, so at these prices she does not make nor lose money.
The correct option is B.
Answer:
I) |xz| ≈ 28.6 km
II) |yz| ≈ 34.8 km
Step-by-step explanation:
Let's assume that the position of ship due south of x is z (aà pictor representation of the question is attached)
|xy| = 20 km, |xz| = ?, |yz| = ?, θ(y) = 55°
Using Trigonometric ratio - SOHCAHTOA
I) Tan θ = |xz| ÷ |xy| ⇒ Tan 55° = |xz| ÷ 20
|xz| = 20 * Tan 55 = 20 * 1.428
|xz| = 28.56 km
|xz| ≈ <u>28.6 km</u>
<u />
II) Cos θ = |xy| ÷ |yz| ⇒ Cos 55° = 20 ÷ |yz|
|yz| * Cos 55° = 20 ⇒ |yz| = 20 ÷ Cos 55°
|yz| = 20 ÷ 0.574 = 34.84 km
|yz| ≈ <u>34.8 km</u>
To find the volume, use this formula:
A = 0.5bhw
A = 0.5(1.5)(6)(3)
A = 0.5(9)
A = 4.5 in^3
Well, the commission should total $1,800. This is one tenth of what he sells, so he must sell $18,000 value of merchandise.
Answer:
The circulation of the given vector is (5/2)x² + 7yz + 6yz + C
Step-by-step explanation:
Given that F = 5xi + 7zj + 6yk
The circulation of F is given as
Integral of F.dr
dr = idx + jdy + kdz
F.dr = (5xi + 7zj + 6yk).(idx + jdy + kdz)
= 5xdx + 7zdy + 6ydz
Integral of F.dr = Integral of (5xdx + 7zdy + 6ydz)
= (5/2)x² + 7yz + 6yz + C
