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A spotlight shines a on a screen; between them is an obstruction that casts a shadow. suppose the screen is vertical, 20m wide by 15m high, and 50 m from the spotlight. Also, suppose the obstruction is a square, 1m on a side, and is parallel to the screen. Express the area of the shadow as a function of the distance from the light to the obstruction.
The gross annual earnings of a certain company A(t)= 0.1t^(2)+10t+ 20 thousand dollars t years after its formation in 2004. At which percentage rate were the gross annual earnings growing with respect to time in 2008?
An equilateral triangle and a regular hexagon have equal perimeters. What is the ratio of the area of the triangle to the area of the hexagon?
The minute hand on a watch is 5 mm long and the hour hand is 4 mm long. How fast is the distance between the tips of the hands changing at one o'clock? (Round your answer to one decimal place.)
To avoid creating a backlog, all cases must be handled by the end of December. Formulate a linear program that can be used to determine how many Judges the city needs.
Make an interval estimate of the mean so that you are 90 percent confidant that the true mean is in your interval.
What is the probability that among the 12 months of the year there are 3 non necessarily consecutive months containing exactly 4 birthdays?
Maryam pays $3000 on the 30th day of a $7,000, 120-day, and 8% loan.
The body temperatures of adults are normally distributed with a mean of 98.6° F and a standard deviation of 0.44° F. What temperature represents the 95th percentile?
Poisson Distribution: Birth-Death Process. The McDougal Sandwich Shop has two windows available for serving customers, who arrive at a Poisson rate of 40/hr. Service time is exponentially distributed with a mean of 2 min.
Would someone be able to explain to me how we would find antichains and chains of a powerset? For example, if we had the power set of 4 - P([4]) then how would we derive the antichains, and symmetric chains?
The ordering and transportation cost C for the components used in manufacturing a product is C=200(500/x^2 + X/x+300), x > or equal to 1 where C is measured in thousands of dollars and x is the order size in hundreds. Find the rate of change of C ..
Find the number of ways to get following card combinations
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