Answer:
6 knots
Step-by-step explanation:
Let the velocity be v knots
thus, the time required to traverse 500 M is given by 500 / v hours
Fuel consumption per hour is equal to 216 plus half the cube of the speed (v^3).
Let F denote the fuel consumption for the journey
= [500/v][216 + 0.5v^3]
= 500[216/v + 0.5v^2]
The derivative of F with respect to v is: dF/dv = 500[ - 216/v^2 + v]
The second derivative, d^2F/d^2v = 500[432/v^3 + 1], indicates positivity.
Setting dF/dv to zero helps find the minimum.
500[ -216/v^2 + v] = 0
or v = 216/v^2
or v^3 = 216
By solving, we arrive at v = [216]^(1/3) = 6 knots
Response:
A 2:3
Detailed Explanation:
10:15
which is equivalent to 10/15
which simplifies to 2/3
I hope this assists you
<3
Red
To address this issue, the procedure below should be utilized:
1- The Law of sines can be applied as follows:
The unknown angle can be determined by: 180°-65°-45°=70°
- The <span>distance Jake travels to the store is:
30/Sin(70°)=x/Sin(45°)
x=22.57
- The distance Maddie travels to the store is:
</span>30/Sin(70°)=y/Sin(65°)
<span> y=28.93
- The difference calculated is: 6.36
Thus, the result shows that the difference is 6.36 m.</span>
Gabe mowed 5 lawns and made $150.
