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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.)
Let p be a prime, let K be a number not divisible by p, and let b be a number that has a kth root modulo p. Find a formula for the number of kth roots of b modulo p and prove that your formula is correct. (hint. your formula should only depend on ..
The length of a rectangular computer part is twice th width The area is 242 yd. Find the length and width.
find the distance closest to the detection tower horizontal to directly below the aeroplane to the nearest kilometre, if you could explain How to find the equation for the detection tower.
What is the probability of there being 2 aces in a single column at the start of a Free Cell game? What about 3 and 4 aces in a single column? Conduct an experiment that validates your findings.
Programmers need to solve systems of equations, which often come up during the design of the games. As an example, suppose in a video game two persons (or objects) are traveling along linear paths
Mineral deposits have formed a uniform coating that is 4mm thick on the inside of a water pipe. The cross0sectional area of the pipe has decreased by 10% What was the original diameter of the pipe. (nearest tenth) of a millimeter.
Find the slope and the equation of the tangent line to the graph of the function f at the specified point.
Find the empirical probability that an iris bulb of this type will bloom. Give answer as a fraction in lowest terms. How many of the bulbs should she plant next fall if she would like at least 52 to bloom?
Two Social Security numbers match zeros if a digit of one number is zero if the corresponding digit of the other is also zero. In other words, the zeros in the two numbers appear in exactly the same positions.
A manufacturing cell claims they make 500 parts per day. D etermine if their claim is correct.
determine the extreme value of f(x,y) on 0
A closed cylindrical can is to be designed so that the can will hold 170cm^3 of oil. Find the dimensions of the can which requires the least amount of metal.
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