Select the standard form of the equation of the parabola and determine the coordinates of the focus.
?
?
?

A. ; Focus: 
B. ; Focus: 
C. ; Focus: 
D. Focus: 
E. ; Focus: 


Answer: B

Mathematics

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Solve the problem.In the formula N = Iekt, N is the number of items in terms of an initial population I at a given time t and k is a growth constant equal to the percent of growth per unit time. How long will it take for the population of a certain country to double if its annual growth rate is 4.1%? Round to the nearest year.

A. 7 yr B. 17 yr C. 49 yr D. 1 yr

Mathematics

Solve the problem. Assume projectile is ideal, launch angle is measured from the horizontal, and launch is over a horizontal surface, unless stated otherwise.What two angles of elevation will enable a projectile to reach a target  downrange on the same level as the gun if the projectile's initial speed is  Assume there is no wind resistance.

A. 0.02° and 89.98° B. 29.69° and 60.31° C. 59.38° and 30.62° D. 29.69°

Mathematics

Calculate the average rate of change of f on each interval. What happens to this average rate of change as the interval decreases in length?f(x) = x3(i) [2.9, 3.1] (ii) [2.99, 3.01] (iii) [2.999, 3.001]

A. (i) 9.03; (ii) 9.0003; (iii) 9.000003; approaches 9. B. (i) 27.01; (ii) 27.0001; (iii) 27.000001; approaches 27. C. (i) 0.90033333; (ii) 0.09000033; (iii) 0.009; approaches 1. D. (i) 6; (ii) 6; (iii) 6; approaches 6.

Mathematics

Write the expression in radical notation. Evaluate by hand when possible.81/3

A. ; 6
B. ; -8
C. ; 2
D. ; -2

Mathematics