You are finding 3 1/6 - 1 5/6.
To solve, you should first change it so that the numerator of the first fraction is greater than the numerator of the second. Note that both have the same denominator (6). Subtract as usual:
3 1/6 = 2 7/6
2 7/6 - 1 5/6 = 1 2/6
1 2/6 is your answer.
~
The answer is D, dilation by a scale factor of 2 followed by reflection about the y- axis.
Answer:

Step-by-step explanation:
The given equation is
.
We take logarithm of both sides to base 2 to get:

Apply the power rule of logarithms to get:

We now apply the change of base formula:





To the nearest thousandth, 
Answer:
73920
Step-by-step explanation:
Number of ways to choose 9 appetizers from 12: ₁₂C₉
Number of ways to choose 3 main courses from 8: ₈C₃
Number of ways to choose 2 desserts from 4: ₄C₂
The total number of ways is:
₁₂C₉ × ₈C₃ × ₄C₂
= 220 × 56 × 6
= 73920
Answer:
The length of the rope between the boat and the dock is of 30 feet.
Step-by-step explanation:
Given:
tan(40) ≈ 0.839
Angle of depression = 40 (deg)
Distance between boat and the floor of the ocean = 25.17 feet
If we look into the diagram we can see that,they form 2 right angled triangle.
Where we can say that :
Distance between boat and dock = Rope's distance = Base of the triangle.
Let the length of the rope be 'x' feet.
Considering the dotted triangle:

⇒
⇒ 
⇒ 
⇒ 
⇒
⇒ 
Length of the rope between the boat and the dock is 'x' = 30 feet.