Simplify the factorial expression.

A.
B. (n - 4)!
C. n - 4
D.


Answer: C

Mathematics

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Determine whether the sets A and B are equal, equivalent, both, or neither.A = {47, 59, 30}B = {59, 30, 47}

A. Neither B. Both C. Equal D. Equivalent

Mathematics

Write the negation of the compound statement. ? If , then  ?

A.
B. ?
C. ?
D. ?
E. ?

Mathematics

x? = x(0.04 ? 0.001x ? 0.003y) , y? = y (0.002 ? 0.0016x ? 0.0005y) , x (0) = 4, y (0) = 2

For the systems of differential equations, use Euler’s method with ?x = 2 to plot the trajectory of x and y to plot the trajectory for 0 ? t ? 500 .

Mathematics

Start with the given graph of y.  a) Describe a sequence of transformations that results in the graph of g(x);  b) Find the range of g(x);  c) Find the horizontal asymptote of the graph of g(x).y = 5x; g(x) = -5(54x + 1) - 2

A. a) The graph of y = 5x is compressed horizontally by a factor of , shifted  unit to the left, stretched vertically by a factor of 5, reflected in the y-axis, and shifted two units down.
b) (-2, ?)
c) y = -2
B. a) The graph of y = 5x is compressed horizontally by a factor of , shifted  unit to the right, stretched vertically by a factor of 5, reflected in the y-axis, and shifted two units up.
b) (2, ?)
c) y = 2
C. a) The graph of y = 5x is compressed horizontally by a factor of , shifted  unit to the left, stretched vertically by a factor of 5, reflected in the x-axis, and shifted two units down.
b) (-?, -2)
c) y = -2
D. a) The graph of y = 5x is compressed horizontally by a factor of , shifted  unit to the right, stretched vertically by a factor of 5, reflected in the x-axis, and shifted two units up.
b) (-?, 2)
c) y = 2

Mathematics