When a solution set is empty?
Space and AstronomyIf an equation has no solutions, its solution set is the empty set or null set–a set with no members, denoted Ø. For example, the solution set to x2 = – 9 is Ø, because no number, when squared, is equal to a negative number. What does it mean for a set to be empty?
Where is WMAP located?
Space and AstronomyWMAP was launched June 30, 2001, and was positioned near the second Lagrangian point (L2), a gravitational balance point between Earth and the Sun and 1.5 million km (0.9 million miles) opposite the Sun from Earth. How much does the WMAP cost? just $150 million Considering the impact of its results, WMAP was a fairly
Is trigonometric form the same as polar form?
Space and AstronomyTrigonometric or Polar Form of a Complex Number (r cis θ) Here we will use that basic conversion to rewrite z = a + bi in another (sometimes more convenient) form that is based on the polar conversion. This new form is called the trigonometric form of a complex number. How do you convert trigonometric
How many years ago did Galileo discover Jupiter’s moons?
Space and AstronomyJan 7, 1610 CE: Galileo Discovers Jupiter’s Moons. On January 7, 1610, Italian astronomer Galileo Galilei discovered, using a homemade telescope, four moons orbiting the planet Jupiter. What did Galileo used his telescope for? Galileo pioneered the use of the telescope for observing the night sky. His discoveries undermined traditional ideas about a perfect and
What is a measure of relative distance in space?
Space and AstronomyThe astronomical unit is used primarily for measuring distances within the Solar System or around other stars. It is also a fundamental component in the definition of another unit of astronomical length, the parsec. What is relative distance in space? Relative distance means how far apart the planets are when compared to each other and
What is longer than a parsec?
Space and AstronomyOne gigaparsec (Gpc) is one billion parsecs — one of the largest units of length commonly used. One gigaparsec is about 3.26 billion ly, or roughly 114 of the distance to the horizon of the observable universe (dictated by the cosmic background radiation). What unit is bigger than a parsec? A megaparsec is a million
What are the ways in which you can transform the graph of a linear function?
Space and AstronomyThe graphs of linear functions can be transformed without changing the shape of the line by changing the location of the y intercept or the slope of the line. Those lines can be transformed by translation, rotation, or reflection, and still follow the slope-intercept form y = mx + b. What are the 3 ways
What does the Goode Homolosine projection distort?
Space and AstronomyWhat distortions does Goode’s projection minimize? Goode’s homolosine map projection is designed to minimize distortion for the entire world. It is an interrupted pseudocylindrical equal-area projection. John Paul Goode developed the projection in 1925. What does the Goode homolosine projection show us? The Goode homolosine projection (or interrupted Goode’s homolosine projection) is a pseudo- cylindrical,
What does asteroid mean for kids?
Space and AstronomyAsteroids. are small, rocky bodies that orbit, or travel around, the sun. They are also called minor planets or planetoids. In general, they are materials left over from when the planets formed. They are also created when other bodies in space collide and break apart. What is an asteroid simple definition for kids? The Short
What is the inner product of two functions?
Space and AstronomyAn inner product is a generalization of the dot product. In a vector space, it is a way to multiply vectors together, with the result of this multiplication being a scalar. How do you find the inner product of two functions? Video quote: We say the inner product of two functions f of X and