One of the events at a swim meet is the 500 meter freestyle. use conversion factors and dimensional analysis to determine the length of this race in: 2) a) feet. b) miles.

1) Distance in feet equals 1640.4 feet

2) Distance in miles equals 0.3107 miles.

Step-by-step explanation:

From the basic conversion factors we know that

1 meter = 3.2808 feet

Thus by proportion we conclude that

Similarly using the basic conversion factors we know that

1 mile = 1609.34 meters

thus we conclude that 1 meter = miles

Hence by proportion 500 meters = miles

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204