Two curves are said to be orthogonal if their tangent lines are perpendicular at each point of intersection of the curves. Show that the curves of the given equations are orthogonal.
The curves intersect at 
For 
For 
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Perform the indicated operation. Write the answer in scientific notation.
A. 6 × 109 B. 6 × 10-3 C. 3 × 10-3 D. 3 × 109
Use Euler's formula to answer the question.A prism has 18 edges. How many vertices and faces does it have?
A. 4, 12 B. 12, 8 C. 4, 6 D. 6, 8
Solve the problem.A basketball player scored 33 points in a game. The number of three-point field goals the player made was 7 less than three times the number of free throws (each worth 1 point). Twice the number of two-point field goals the player made was 9 more than the number of three-point field goals made. Find the number of free-throws, two-point field goals, and three-point field goals that the player made in the game.
A. 4 free throws; 7 two-point field goals; 5 three-point field goals B. 4 free throws; 5 two-point field goals; 7 three-point field goals C. 4 free throws; 8 two-point field goals; 7 three-point field goals D. 5 free throws; 7 two-point field goals; 8 three-point field goals
Compute the compound interest.Assume the cost of a car is $24,000. With continuous compounding in effect,find the number of years it would take to double the cost of the car at an annual inflation rate of 6.9%. Round the answer to the nearest hundredth.
A. 1.46 yr B. 156.22 yr C. 146.17 yr D. 10.05 yr