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Orbit of Venus. If the average radius of the orbit of Venus is 0.723 AU, then how many years does it take for Venus to complete one orbit of the sun? Use the information
Kepler's third law. According to Kepler's third law of planetary motion, the ratio RT 23 has the same value for every planet in our solar system. R is the average radius of the orbit of the planet measured in astronomical units (AU), and T is the number of years it takes for one complete orbit of the sun. Jupiter orbits the sun in 11.86 years with an average radius of 5.2 AU, whereas Saturn orbits the sun in 29.46 years. Find the average radius of the orbit of Saturn. (One AU is the distance from the earth to the sun.)
Students are given three chances to pass a basic skills exam for permission to enroll in Calculus I. Sixty percent of the students pass on the first try; of those who fail on the first try, 54% pass on the second try; and, of those remaining, 48% ..
The state income tax on your business is $820 plus 0.08 times your profit. You made a profit of $64,860 last year. Find and explain the amount of income tax you paid last year.
A flu epidemic hits a large city. Each resident of the city is either sick, well, or a carrier. The proportion of people in each of these categories by age is given by the matrix:
Let x, y be elements in the Boolean algebra B. Prove that x = y if and only if xy + xy = 0. How many rows are needed to construct the (function) table for a Boolean function of n variables?
In right triangle BCD, BD=12 m
When we graph a linear equation, the graph is a line. What do the points on the line represent? When we graph a system of equations, what does the point of intersection represent?
5,500,000 gallons of ice cream are produced each day how many days it will take to produce 357,500,000 Define a variable for the value that is unknown.
Hunter is at the top of a cliff getting ready to rappel. If Hunter is 1,418 feet above the ground, and he wants to complete his rappel down the cliff in m minutes, which expression can be used to find the rate in feet per minute at which he should..
Build a three dimensional shape and prepare a set of questions to be presented to the class for problem solving. Questions should encourage students to cover the concepts of perimeter, volume, surface area, number of vertices, faces, and edges ass..
A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the wall at a rate of 0.5 ft/s, how fast is the angle between the ladder and the ground changing when the bottom of the ladder is 6 ft from the wall?
if a stone is thrown down at 120 feet per second from a height of 1000ft, its height after t seconds is given by s=1000-120t-16t^2. Find its instantaneous velocity function.
Use the quadratic formula to find out how long after the rocket is launched it will hit the ground. Round to the nearest tenth of a second.
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