A dye is placed into a mixture of acetone and triethylamine solution. Let D(t ) be the concentration of the dye after t seconds. Let’s suppose the acetone causes the dye to degrade with a decay rate of 0.244 per sec, while the triethylamine causes a downtake rate of 3×10?8molars per second.
(a) Draw a one-compartment model for D .
(b) Show that D? = ?0.244D ?(3×10?8 )
(c) Solve for D(t ) given the initial condition D (0) = D0.
(a) 
(b) Left to the student.
(c) 
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Factor completely. If a polynomial cannot be factored, say it is prime.x2 - x - 40
A. (x - 5)(x + 8) B. (x + 5)(x - 8) C. (x - 40)(x + 1) D. prime
To solve this system using a matrix equation, which of the following matrices would be multiplied by the column matrix of the constants to solve for the variables?
?
? ?
A. 
B. 
C. 
D. 
E. 
Graph the function using its vertex, axis of symmetry, and intercepts.f(x) = x2 - 2x
A. vertex (-1, 1)
intercept (0, 2)
B. vertex (-1, -1)
intercepts (0, 0), (-2, 0)
C. vertex (1, 1)
intercept (0, 2)
D. vertex (1, -1)
intercepts (0, 0), (2, 0)
Solve.In Antarctica, the high temperatures for the last four days have been 17.2°, 5.6°, 
and 10.3°. What is the average high temperature for this 
period?
A. 9.825° B. 9.225° C. 7.845° D. 10.475°