Change the logarithmic expression to an equivalent expression involving an exponent.log1024 256 = 

A. 10244/5 = 256

B. 2565/4 = 1024
C. 1024 = 256
D. 2564/5 = 1024


Answer: A

Mathematics

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For the function f, construct and simplify the difference quotient  .f(x) = 

A.
B.
C. 0
D.  

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) = 52x + 1 + 3

A. a) The graph of y = 5x is compressed horizontally by a factor of , shifted  unit to the right, and shifted three units up.
b) (3, ?)
c) y = 3
B. a) The graph of y = 5x is compressed horizontally by a factor of , shifted  unit to the left, and shifted three units down.
b) (-3, ?)
c) y = -3
C. a) The graph of y = 5x is compressed horizontally by a factor of , shifted  unit to the right, and shifted three units down.
b) (-3, ?)
c) y = -3
D. a) The graph of y = 5x is compressed horizontally by a factor of , shifted  unit to the left, and shifted three units up.
b) (3, ?)
c) y = 3

Mathematics

Solve the inequality.x2 - 9x ? 0

A. [-9, 0] B. (-?, -9] or [0, ?) C. (-?, 0] or [9, ?) D. [0, 9]

Mathematics

A mussel is placed into water polluted with polychlorinated biphenyls (PCBs). Let Q(t ) be the concentration of PCB in the mussel in micrograms (per gram of tissue) after t days. For certain concentrations of pollution let’s suppose that the mussel absorbs PCBs at the rate of 14 micrograms of PCB per gram of tissue per day. Also, let’s suppose the elimination rate of PCBs from the mussel is 0.20 micrograms per gram of tissue per day.

(a) Draw a one-compartment model for Q. (b) Show that D? = ?0.20D +14 . (c) Solve for D(t ) given the initial condition D(0)=D0

Mathematics