When a ship is sailing, the fuel cost is proportional to the square of its speed relative to water. Besides that, there are fixed costs, which do not depend on the speed and are equal to p ($/hour). At what speed the total cost per 1 mile will be the lowest?

Q: The volume of a right circular cylinder varies jointly as the height and the square of radius of the…

A: Given that:  Volume(V)=58096.28 cubic yards,r=29yards,h=22yardsand the right circular cylinder. A…

Q: When the height of the sand in a particular rectangular sandbox is leveled out then the height of…

A: The height of the sand box is proportional to the volume of the sand. When the height is 2.25 in the…

Q: It takes 15 minutes to preheat your oven to 325 degrees. For an oven preheated to 325 degrees, the…

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Q: you work 42 hours per week, then your weekly pay P, in dollars, is proportional to your hourly wage…

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Q: Mark found that the daily demand for his company's new design of sunglasses was inversely…

A: The problem states that the daily demand for sunglasses is inversely proportional to the price. This…

Q: A model for the spread of an epidemic is that the rate of spread is proportional the number of…

A: Given: A model for the spread of an epidemic is that the rate of spread is proportional the number…

Q: ook a racecar driver 3 hours and 20 minutes to go 500 miles. What is the constant of proportionality…

A: Given that  It took a racecar driver 3 hours and 20 minutes to go 500 miles.  Number of miles (y) =…

Q: Plot the inversely proportional relationship given relating workers to time to make a pair of plants…

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Q: A runner starts at the beginning of a runners' path and runs at a constant rate of 5 mi/hr. Fifteen…

A: First, we need to calculate the relative speed which is, the difference between the speed of the…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.