Provide an appropriate response.State whether the following situation represents direct variation, inverse variation, or neither, and explain why: A runner's speed in a race and the time that it takes to run the race.

What will be an ideal response?


Inverse variation; the greater the speed, the shorter the time.

Mathematics

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Solve the problem.Write an equation for the tangent line to the curve    at the point  

A. x - 2y + 1 = 0
B. x - 2y + 1 = 0
C. x - 2y + 9 = 0
D. x - 2y + 9 = 0

Mathematics

Convert the stock price to decimal notation and to decimal notation rounded to the nearest hundredth.The stock price of a homeowners' insurance company dropped to $41 per share after a severe hurricane caused damage to coastal regions.

A. $41.6825; $41.68 B. $41.6875; $41.69 C. $41.6825; $41.69 D. $41.6875; $41.68

Mathematics

Provide an appropriate response.Suppose an initial investment grows from $2000 to $2817.39 over three years. First find the nominal rate compounded monthly and then find the equivalent effective rate.

Fill in the blank(s) with the appropriate word(s).

Mathematics

Graph the function. Describe its position relative to the graph of the indicated basic function.f(x) = 5 - e-0.38x; relative to f(x) = ex

A. Stretched horizontally; 
reflected across x-axis, 
reflected across y-axis;
moved up 5 unit(s)


B. Moved up 5 unit(s); 
stretched horizontally;
reflected across the x-axis


C. Stretched horizontally; 
reflected across the y-axis;
moved up 5 unit(s)


D. Stretched horizontally; 
reflected across x-axis, 
reflected across y-axis
Moved up 5 unit(s);


Mathematics