Find a nonzero vector orthogonal to the plane through the points P, Q, and R.


Mathematics

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Determine if the given value is a solution to the equation.-126(y - 2) = 8y - 12

A. Yes B. No

Mathematics

Simplify the radical. Indicate if the radical is not a real number. Assume that x represents a positive real number.

A. 22 B. 242 C. -22 D. Not a real number

Mathematics

Solve the problem.If a population is changed by either immigration or emigration, a model for the population is  where y is the population at time t and f(t) is some function of t that describes the net effect of the emigration/immigration. Assume that k = 0.02 and y(0) = 10,000. Solve this differential equation for y, given that  

A. y = 250t + 12,500 + 22,500e-0.02t B. y = -250t - 12,500 + 22,500e0.02t C. y = 250t - 12,500 + 22,500e-0.02t D. y = -250t - 12,500 + 22,500e-0.02t

Mathematics

Solve by completing the square, if possible.

A. ,
B. ,
C. ,
D. ,
E. no solutions

Mathematics