After beginning antiseptic treatment, the number of bacteria in a population decreases at a rate of 12% per hour, that is, dN/dt = -0.12N, where N is the number of bacteria and t is the time, in hours.
a) When t = 0 , there are 100,000 bacteria present. Find a function that satisfies this equation
(b) How many bacteria will remain after 8 hr?
(c) After how long do half of the original bacteria remain?
(a) 
(b) 38,289
(c) 5.78 hr
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Use the change of base rule to find the logarithm to four decimal places.log7 3
A. 1.7712 B. 0.5646 C. -0.5646 D. 1.1292
Solve by completing the square to obtain exact solutions.5x2 + 2x - 3 = 0
A. -1, 
B. 1, 
C. 0, 
D. -1, 
Simplify the expression. Write your answer without negative exponents. Whenever an exponent is negative or zero, assume that the base is not zero.(-2x3y)(-7x6y2)
A. -9x9y2 B. 14x9y3 C. -14x9y2 D. 14x18y2
Write an expression that gives all solutions to the equation.
?
00
What will be an ideal response?