Solve the problem.The population P, in thousands, of a small city is given by:P(t) = .where t = the time, in months. Find the growth rate.

A. P'(t) = 
B. P'(t) = 
C. P'(t) = 
D. P'(t) = 


Answer: D

Mathematics

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Complete the ordered pairs so that they are solutions of the given linear equation.2x + y = -10(-6, ), (0, ), (1, )

A. (-6, 2), (0, -10), (1, -12) B. (-6, -14), (0, -10), (1, -12) C. (-6, -22), (0, -10), (1, -12) D. (-6, 2), (0, 10), (1, -12)

Mathematics

Provide an appropriate response.A baseball is hit when it is 3.1 feet above the ground. It leaves the bat with an initial speed of 150 ft/sec, making an angle of 24° with the horizontal. Assuming a drag coefficient  find the range and the flight time of the ball. For projectiles with linear drag:  x = x0 + (1 - e-kt)cos ?,    y = y0 + (1 - e-kt)sin ? + 

/>(1 - kt - e-kt)where k is the drag coefficient, v0 and ? are the projectile's initial speed and launch angle, and g is the acceleration of gravity (32 ft/sec2). A. Flight time = 3.97 sec; range = 424.4 feet B. Flight time = 3.74 sec; range = 413.5 feet C. Flight time = 2.82 sec; range = 393.5 feet D. Flight time = 3.62 sec; range = 402.2 feet

Mathematics

Find the surface area or volume.Use substitution and a table of integrals to find, to two decimal places, the area of the surface generated by revolving the curve   about the x-axis.

A. 232.51 B. 215.17 C. 177.12 D. 192.06

Mathematics

Determine the symmetries of the curve.r2 = 6 sin 4?

A. y-axis only B. x-axis only C. Origin only D. x-axis, y-axis, origin

Mathematics