Provide an appropriate response.Simplify into a single fraction and give your answer with positive exponents only: 
Fill in the blank(s) with the appropriate word(s).
(1/1 + 4x)
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The following table shows the number A, in thousands, of federal methamphetamine arrests t years after 2006. t 0 1 2 3 A 5.81 5.54 4.74 4.64A: Find the equation of the regression line.B: Plot the data along with the regression line.C: Explain in practical terms the meaning of the slope of the regression equation.D: What number of arrests does the regression line predict for 2014?
What will be an ideal response?
Write the expression as a single logarithm. Leave your answer in simplest form without negative or fractional exponents.
(logbx6 + logb y7)
A. logb
B. logb
C. logb
D. logb
A drug is carried into an organ of volume 
cm3 by a liquid that enters the organ at the rate of a cm3/sec and leaves it at the rate of b cm3/sec. The concentration of the drug in the liquid entering the organ is c g/cm3. If the concentration of the drug in the organ at time 
is increasing at the rate of
?
?g/cm3/sec, and the concentration of the drug in the organ initially is 
g/cm3, show that the concentration of the drug in the organ at time 
is given by
?
What will be an ideal response?
Provide an appropriate response.Suppose a diagnostic machine will yield a net of $1000 per quarter for 5 years, after which the machine can be sold for $1000. How much should a firm pay for the machine if it wants to earn 7.5% annually on its investment and also set up a sinking fund to replace the purchase price? For the fund, assume quarterly payments and a rate of 5.5% compounded quarterly.
Fill in the blank(s) with the appropriate word(s).