Solve the problem.The position of a projectile fired with an initial velocity v0 feet per second and at an angle ? to the horizontal at the end of t seconds is given by the parametric equations
Suppose the initial velocity is 7 feet per second. Obtain the rectangular equation of the trajectory and identify the curve.
A. y = -
+ (tan ?)x; parabola
B. y = -
+ (cot ?)x; hyperbola
C. y =
+ (cot ?)x; parabola
D. y = -
+ (tan ?)x; ellipse
Answer: A
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The following table shows the average rice yield Y, in tons per hectare, on Asian farms t years after 1980. Based on the regression equation, how much increase in yield is expected over a 5-year period? t 5 10 20 25Y 3.38 3.61 3.96 4.14? ?
A. 0.20 tons per hectare B. 0.04 tons per hectare C. 0.36 tons per hectare D. 3.21 tons per hectare
Find the median for the given sample data.The distances traveled (in miles) to 7 different swim meets are given below:15, 29, 39, 47, 70, 75, 85Find the median distance traveled.
A. 51 miles B. 70 miles C. 39 miles D. 47 miles
Write the equation for the plane.The plane through the points P(5, 5, -52) , Q(-3, -2, 28) and R(-1, 3, -18).
A. 8x + y + 3z = -3 B. 3x + 8y + z = 3 C. 3x + 8y + z = -3 D. 8x + y + 3z = 3
Write as an addition problem and find the sum.Jane lost 8 pounds the first week and gained 7 pounds the second week. What was her net gain or loss?
A. 8 + -7 = pounds
B. + 7 = -1 pounds
C. 8 + -7 = 15 pounds
D. + 7 = 1 pounds