The correct answer for the question that is being presented above is this one: "b. $2.78." Andrew owns stock in Hyren Airlines and as a result gets paid dividends worth $539.70 every year. If Andrew owns 105 shares of Hyren Airlines, the dividend of each share yields <span>b. $2.78</span>
Step-by-step explanation:
y = 3 + 8x^(³/₂), 0 ≤ x ≤ 1
dy/dx = 12√x
Arc length is:
s = ∫ ds
s = ∫₀¹ √(1 + (dy/dx)²) dx
s = ∫₀¹ √(1 + (12√x)²) dx
s = ∫₀¹ √(1 + 144x) dx
If u = 1 + 144x, then du = 144 dx.
s = 1/144 ∫ √u du
s = 1/144 (⅔ u^(³/₂))
s = 1/216 u^(³/₂)
Substitute back:
s = 1/216 (1 + 144x)^(³/₂)
Evaluate between x=0 and x=1.
s = [1/216 (1 + 144)^(³/₂)] − [1/216 (1 + 0)^(³/₂)]
s = 1/216 (145)^(³/₂) − 1/216
s = (145√145 − 1) / 216
Answer:
Step-by-step explanation:
In this problem, we have:
H = 452 m is the height of the Petronas tower
h = 1.75 m is the height of the woman
d = 120 m is the distance between the woman and the base of the tower
First of all, we notice that we want to find the angle of elevation between the woman's hat the top of the tower; this means that we have consider the difference between the height of the tower and the height of the woman, so
Now we notice that 
and 
are the two sides of a right triangle, in which the angle of elevation is 
. Therefore, we can write the following relationship:
since
H' represents the side of the triangle opposite to
d represents the side of the triangle adjacent to
Solving the equation for , we find the angle of elevation:
Answer:
Y=3
Step-by-step explanation:
You go over to the X axis, find -2 and go up the line vertically until you touch the black line going across. You look to the right and see it says 3. So 3 is your answer
Y + 2 = x, or y + 12 = 2x
