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A lake has a volume of 10^8 m^3. A river flows into the lake at the rate of 3×10^5 m^3/day.
The same amount of pure water evaporates from the lake each day, so the volume of the lake does not change. The river contains 7 % pollution. The lake is initially unpolluted.
(a) What is the percentage pollution in the lake after t days? __________%
(b) When does the pollution in the lake reach 1%? after ______ days
A certain bacteria population is known to quadruple every 150 minutes. Suppose that there are initially 120 bacteria.
Random Variables : Continuous R.V., Exponenetial, R.V, Mean and Variance, 3) Let X be a continuous random variable with probability density function
The RN needs to administer 40 meq of Potassium chloride. The pharmacy has sent a 60mL bottle of Potassium chloride to the floor that contains 20 meq/5mL. How many mLs need to be given?
Calculate the per capita cost per police officer. Explain why increased population can result in increased per capita taxes, even though the per-capita cost per police officer declines with population.
Find the pattern inventory for the corner 3-colorings of a floating pentagon with adjacent corners different colors.
In a local election, there are eight candidates for five positions as judges on the Supreme Bench. The number of possible outcomes of the election is:
Find the derivative of f(x)= (3-4x^2)/(x^2-x-6) and then determine intervals of increase/decrease,local max and min values and points of concavity and inflection.
Label the Vertex and the Axis of symmetry
What is the cost each of one blueberry pie and one blackberry pie?
On route I-91 near Springfield, MA, there is sometimes a sign that says "WASH YOUR BOAT" (pause) "AFTER USE" (pause). Explain why you are complying with the sign if you do not own a boat. How does this relate to truth tables?
Show that the binary expansion of a positive integer can be obtained from its hexadecimal expansion by translating each hexadecimal digit.
If we want the groups to be as large as possible, how many students should we put in each group? Please show your work and breakdown the problem.
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