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Linear functions are used to model situations that show a constant rate of change between 2 variables. For example, the relation between feet and inches is always 12 inches per foot. A linear function of this would be y = 12x where y is the number of inches and x is the number of feet. y = 24x models the number of hours in any given number of days {x}. A possible business application may be as follows: If a cell phone company charges a start-up fee of $50 and then $0.05 for every minute used, the function is y = 0.05 x + 50. Use the library or Internet to find another example of a function. Explain how it works with a three sets of inputs for your example. What is the output of your data? What is the practical use of your function?
A reconnaissance airplane P, flying at 18,000 feet above a point R on the surface of the water. Approximate the distance between the submarine and the tanker.
If each digit in an integer is greater than the digit to theleft, the integer is said to be "monotonic". For example,12 is a monotonic integer since 2 > 1. How many positive two-digit monotonic integers are there?
What is Social Responsibility? Your answer must be in your own words and linked to the textbook's definition.
Math 104: Homework 10. Construct a Taylor series expansion for the function f(x) = log(1 + x) at x = 0. By considering the remainder Rn(x), prove that the Taylor series agrees with f in the range -1/2
Find all the complex cube roots of w= 8(cos 150 + i sin 150). Write the roots in polar form with theta in degrees.
Coal company's condition, Norfolk, Virginia, a major seaport on the East Coast, has a ship coal loading facility. Coal trucks filled with coal presently arrive at the port facility at mean rate of 149 per day (Poisson distributed).
A plane takes off and ascends at an angle of 10° traveling at 400 miles per hour for 15 mins. Then it levels out and travels at 450 miles per hours for 10 mins. Let θ be the angle of elevation from the airport to the current location of the plane. Wh..
(a) How many committees of six can be formed from the club membership? (b) How many committees will contain at least three men who, in the preliminary survey,favored opening membership to women?
If 2 pens are drawn at random from the pack, replaced and then another pen is drawn. What is the probability of drawing 2 blue pens and 1 black pen?
a copper wire density 8.96 gcm3 has a diameter of 0.19 mm. if a sample of this copper wire has a mass of 48 g how long
Prove the statements which are true; note that Venn Diagrams are not proofs - determine whether the following statements are true or false.
the LORAN stations at A and B are 500 mi apart, and the ship at P receives station A's signal 2640 microseconds (μs) before it receives the signal from station B.
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