Given a time of 3:59.37 for a mile run, this translates to 3 hours and 59.37 minutes. To convert this entirely into hours: 3 hours + 59.37 minutes (1 hour / 60 minutes) = 3.9895 hours. Thus, the average speed can be calculated as: average speed = 1 mile * (1.61 km / mile) / 3.9895 hours. Consequently, the average speed equals 0.4 km / hour.
Here is the complete question: It requires 31 employees and costs \$7500 to manufacture a car, while it takes 19 employees and costs \$4300 to produce a motorcycle. Genghis Motors aims to exceed \$84000 in expenditures for cars and motorcycles, utilizing a maximum of 706 employees. Let C represent the number of cars manufactured and M the number of motorcycles produced. Prepare an inequality reflecting the employee condition. Prepare another inequality reflecting the monetary condition.
Answer:
347.3 cubic units
Step-by-step explanation:
To calculate the volume of the empty space, we derive the total volume of the two shapes and subtract the volume of the sphere from that of the cube.
The volume of a cube is calculated as l^3.
Here, the length is given as 9, so we compute 9x9x9, resulting in 729 cubic units.
The formula for the volume of a sphere is 4/3 pi r^3.
The radius is 4.5 (half of the diameter), thus:
4/3*91.125 pi
which becomes 121.5 pi = 381.7 (to one decimal place).
Subtracting these gives us 729-381.7 = 347.3.
The volume of the empty space equals 347.3 cubic units.
The comprehensive expression in reference to the given d:
Volume of empty space = d^3 - 4/3 pi (d/2)^3
I hope this was helpful!
In order to solve this, we will use proportions. The first step involves converting centimeters to meters by applying dimensional analysis:
Once everything is expressed in meters, we can set up the proportions accordingly. Our proportion becomes 
First, we perform cross-multiplication: 
Then, by dividing both sides by 0.59, we arrive at x = 18.6 m, or D.
