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You discover a planet orbiting a distant star that has about the same mass as the Sun. Your observations show that the planet orbits the star every 67 rm days . What is its orbital distance?
Digital information can be represented through the use of Boolean algebra, which is an important concept to study if one wishes to understand how computers work.
A triangle drawn on a map has sides of lengths 9.0 cm, 10 cm, and 15 cm. The shortest of the corresponding real-life distances is 93 km. Find the longest of the real-life distances. If necessary, round your answer to the nearest unit.
A computer store has 50 printers of which 30 are laser printers and 20 are ink jet printers. If a group of 10 printers is chosen at random from the store, find the mean and variance of the number of ink jet printers.
How many revolutions will a car wheel of diameter 20 inches make as the car travels a distance of 3.14 miles?
The height of a ball (in feet) t seconds after it is thrown straight upward is determined by h(t)=16t^2+48t+7. How long did it take the ball to hit the ground?
An Isosceles triangle is inscribed in a semicircle, as shown in the diagram, and it continues to be inscribed as the semicircle changes size. The area of the semicircle is increasing at the rate of 1 cm^2/sec when the radius of the semicircle is 3..
Let X be a path-connected space and suppose that every map f: S^1 --> X is homotopically trivial but not necessarily by a homotopy leaving the base point x_0 fixed. Show that pi_1(X,x_0) = 0.
Use the Newton-Raphson method of finding roots of equations to find the minimum number of computers that need to be sold to make a profit. Conduct three iterations to estimate the root of the above equations.
Two miner league baseball players got a total of 220 hits washington had 16 more than sanchez find the number of hits for each player.
In recession, congress decided to stimulate the economy by providing funds to hire unemployed workers for gov. projects. Suppose the t months after the stimulus programs have begun, there are N(t) thousand people unemployed, where:
The sum of three numbers is 98. The ratio of the first to the second is 2:3, and the ratio of the second to the third is 5:8. Find the value of the second number?
Write an equation that illustrates this situation. Use the same variables you used in Part a. c. Use elimination to determine how many houses are available in each floor plan. Explain how you arrived at your answer.
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