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A colony of bacteria is grown under ideal conditions in a laboratory so that the population increases exponentially with time. At the end of 3 hours there are 7000 bacteria. At the end of 5 hours there are 28000 bacteria. How many bacteria were present initially?
You can operate a train if at least 200 people buy tickets. The fare will be $8 per person if 200 people buy tickets, but will decrease 1 cent for each additional person over 200. what number of passangers will bring the railroad the maximum reven..
What is the probability that the mean of a random sample of size n = 4 of tire lifetimes will be less than 20,000 miles?
find any absolute or local maximum and minimum values of f(x)=8-2x if x≥6.
Determine the total contribution to profit that lies on the objective function (profit line) as it is plotted on the graph if the company produces a combination of cases of Brand X and Brand Y.
Suppose a rational function R(x) has the horizontal asymptote y = 3/2. Explain the behavior of the function as the variable x increases without bound.
explore if X and Y are independent and find the conditional pmf of Y given that 3 eggs among the six selected are cracked. What is the probability that X 1?
What is the difference between intersecting and perpendicular lines? Can two lines exist that are not intersecting or parallel? Explain your answer.
Using the definition of a measurable function, show that any constant function is measurable. Definition of a measurable function: the function f is measurable on the interval [a,b] if for all c in R, the set {x in [a,b] : f(x) >c} is measurable.
To check whether the representation of input elements does not affect the running time of an algorithm
You are estimating the cost ($K) of optical sensors based on the resolution of the sensor (i.e. how small of an object it can detect). Using the preliminary calculations from a data set of 8 sensors, determine the equation of the line. (Round your..
A swimming pool is 12 meters long, 6 meters wide, 1 meter deep at the shallow end, and 3 meters deep at the deep end. Water is being pumped into the pool at 1/4 cubic meter per minute, and there is 1 meter of water at the deep end.
The problem that I'm having is that there is a nonconstant factor of (x^2+y^2+z^2)^(-1/2) appearing on the RHS of this equation, making it non-trivial to solve.
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