Eliminate the parameter to find a Cartesian equation of the curve.


Mathematics

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When a skydiver jumps from an airplane his velocity V, in feet per second, increases toward a maximum of  175 feet per second.  (This is terminal velocity.) The table below shows the difference  between  the terminal velocity and the velocity after t seconds.

 t 0 5 10 15 D 175.00 97.72 54.57 30.47? A: Find an exponential model for the data. Be careful. The data are given in steps of 5 seconds. Round your answer to two decimal places, if necessery.B: Find a formula that gives the velocity V after t seconds. Round your answer to two decimal places, if necessery.C: Make a graph of V versus t over the first 10 seconds. Include the horizontal line representing the terminal velocity.E: According to the model, how long does it take for the skydiver to reach 92.00% of terminal velocity? Round your answer to two decimal places. What will be an ideal response?

Mathematics

Provide an appropriate response.The revenue R for a product is given by R(x) = 2500x - x2 where x is the number of units sold. Is this function continuous for x = 20?

What will be an ideal response?

Mathematics

Solve the problem.A study in a small town showed that the percent of residents who have college degrees can be modeled by the function  where x is the number of years since 2005. According to the model, what percent of residents had a college degree in 2010? Round to the nearest whole number.

A. 63% B. 68% C. 73% D. 57%

Mathematics

Determine the x values that cause the function to be (a) zero, (b) undefined, (c) positive, and (d) negative.f(x) = 

A. (a) {1}, (b) {7} ?(-?, -1), (c) (1, 7), (d) (-1, 1) ? (7, ?) B. (a) {1}, (b) {7} ? (-?, -1) , (c) (-1, 1) ? (7, ?), (d) (1, 7) C. (a) {1, 7}, (b) (-?, -1), (c) (-1, 1) ? (7, ?), (d) (1, 7) D. (a) {1, 7}, (b) (-?, -1), (c) (1, 7), (d) (-1, 1) ? (7, ?)

Mathematics