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The conclusion is:
The return trip will take 18 hours.
Reasoning:
To determine the duration of the return journey, we must calculate the distance from the destination back to the starting point.
The ship travels at 15 miles per hour (mph) over 6 hours, yielding a distance of:

The distance from the starting point to the destination is 90 miles, and for the return trip, the motor operates at a speed of 5 mph. Thus, computing the time taken gives us:

Consequently, the return trip will take 18 hours to complete.
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Answer: F(x) > 0 in the ranges (-0.7, 0.76) and (0.76, ∞).
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<span>Which formula can be applied to find the side length of the rhombus?
The correct answer is the first choice: 10/Cos(30°) Explanation:
1. The figure shows a right triangle, where the hypotenuse is denoted by "x," and this is the length you are solving for. Therefore, you have:
Cos(</span>α)=Adjacent side/Hypotenuse
<span>
</span>α=30°
<span> Adjacent side=(20 in)/2=10 in
Hypotenuse=x
2. Inputting these numbers into the equation yields:
</span>
Cos(α)=Adjacent side/Hypotenuse
<span> Cos(30°)=10/x
3. Hence, by isolating the hypotenuse "x," you arrive at the expression to find the side length of the rhombus, as shown below:
x=10/Cos(30°)
</span>
The set encompasses 256 subsets. Step-by-step explanation: The elements in the set [a,b,c,d,e,f,h,i] total to 8. The total number of subsets is obtained using the formula
, where n signifies count of elements.