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A bacteria population starts with 400 and grows at a rate of r(t)=(450.268)e^(1.12567t)bacteria per hour. How many bacteria will there be after 3 hours ?
The table below shows the number of gallons of heating oil delivered to a residential customer each December from 1986 to 1993.
What is the arc length of a sector a circle with a central angle of π/7 radians and a radius of 12 inches? Round answer, 2 de. Places.
When graphing a linear inequality, how do you know if the inequality represents the area above the line? What are the necessary and sufficient conditions for inequalities to represent an area in the first quadrant?
If i throw a thumbtack on the desk it can land either point straight up or point down (on its side) Explain one way that I should estimate
a normal distribution has a mean of 500 a standard deviation of 50. A manager wants to simulate one value from this distribution, and has drawn the number 1.4 randomly. What is the simulated value?
Find the probability that the first card is a king and the second card is a queen.
In the sequence of fractions {1/1, 2/1, 1/2, 3/1, 2/2, 1/3, 4/1, 3/2, 2/3, 1/4, 5/1, 4/2, 3/3, 2/4, 1/5, 6/1, ...} fractions equivalent to any given fraction occur many times. For example, fractions equivalent to 1/2 occur for the first two times ..
Natalie spends 90 minutes doing her math and English homework. The time she spends on her math homework is a function of the time she spends on her English homework.
Use the distance formula to find the set of points S satisfying the condition that every point P(x,y) in the set is an equal distance from the line y=-2 and the point (0,2).
In a classroom of children (13 boys and 12 girls), five students are chosen to go to the blackboard. What is the probability that no boys are chosen?
Show that if a convergent series of real numbers contains only a finite number of negative terms, then it is absolutely convergent.
A ball is hit at an angle of 36 degrees to the horizontal from 14 feet above the ground. If it hits the ground 26 feet away (in horizontal distance), what was the initial velocity? Assume there is no air resistance.
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