Products related to Rational:
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Is the product of two rational numbers rational?
Yes, the product of two rational numbers is also rational. This is because when you multiply two rational numbers, the result can always be expressed as a ratio of two integers, which is the definition of a rational number. Therefore, the product of two rational numbers will always be rational.
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Is the product of rational numbers also a rational number?
Yes, the product of rational numbers is also a rational number. This is because when you multiply two rational numbers, the result can always be expressed as a fraction of two integers, where the denominator is not zero. Therefore, the product of rational numbers is always a rational number.
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What are rational functions?
Rational functions are functions that can be expressed as the ratio of two polynomials. They are defined for all real numbers except where the denominator polynomial is equal to zero. Rational functions can have vertical asymptotes where the denominator is zero, and horizontal asymptotes as x approaches positive or negative infinity. These functions can have a variety of shapes and behaviors depending on the degree of the numerator and denominator polynomials.
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Is man still rational?
Man is still rational to a certain extent, as humans have the ability to think critically, make decisions based on logic and reason, and solve complex problems. However, emotions, biases, and external influences can sometimes cloud our judgment and lead to irrational behavior. It is important for individuals to be aware of these factors and strive to make rational decisions based on sound reasoning and evidence.
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Are people considered rational?
People are generally considered to be rational to some extent, as they are capable of making logical decisions based on their beliefs, preferences, and available information. However, human behavior is also influenced by emotions, biases, and cognitive limitations, which can lead to irrational decision-making. While people strive to be rational, they are also subject to various psychological and social factors that can impact their ability to make purely rational choices. Overall, people can be rational in certain situations, but their decision-making is often influenced by a combination of rational and irrational factors.
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Are you rational thinkers?
As an AI, I am programmed to process information and make decisions based on logic and reasoning. My responses are generated using algorithms and data analysis, which are designed to be rational and logical. However, it is important to note that my responses are based on the information available to me and may not always reflect the full complexity of human thought processes. Ultimately, the concept of rational thinking is subjective and can vary depending on individual perspectives and beliefs.
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In which era were the pyramids and the Sphinx built?
The pyramids and the Sphinx were built during the Old Kingdom era of ancient Egypt, which lasted from around 2686 to 2181 BC. The most famous pyramids, such as the Great Pyramid of Giza, were constructed during this time as tombs for the pharaohs. The Sphinx, believed to represent the pharaoh Khafre, was also built during this period as part of the funerary complex near the pyramids.
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When were the Pyramids of Giza and the Sphinx built?
The Pyramids of Giza were built around 2580-2560 BC during the Fourth Dynasty of the Old Kingdom of Egypt. The Great Sphinx, which is located near the Pyramids, is believed to have been built during the same time period, possibly as a part of the funerary complex for Pharaoh Khafre. These ancient structures are some of the most iconic and enduring symbols of ancient Egyptian civilization.
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