If the round tank is spherical, the radius of the interior space must be measured; the radius is one-half of the diameter. The volume is equal to the radius cubed multiplied by pi multiplied by 4/3.
A:The formula for calculating pipe weight is m=10.68 (do – tw) tw , where m is weight per foot (lbs/ft), do is outside diameter in inches, and tw is wall thickness in inches. The outside diameter and wall thickness of the pipe are required to calculate the weight per foot. The formula doesn’t take into account weight alterations after end finishing, e.g., upsetting or threading.
A:Algebra has been developed over thousands of years in several different countries. The earliest methods for solving mathematical problems with one or more unknown quantities come from ancient Egypt. The word "algebra" itself is derived from the title of Baghdad mathematician Al-Kwarizmi's 9th century book, "Hidab al-jabr wal-muqubala."
A:While people struggle with math for many reasons, one of the most common is that math is a sequential subject and missing one concept along the way leaves the student in a growing state of confusion. A child who struggles with basic arithmetic doesn't have the foundation for algebra or advanced math classes. Other math-haters struggle to connect math to real life or suffer from a learning disability with numbers.
A:A linear inequality is similar to a linear equation; however, where a linear equation has an equals sign, a linear inequality uses an inequality symbol. Inequality symbols include > (greater than), < (less than), ≤ (less than or equal to), ≥ (greater than or equal to) and ≠ (not equal to).
A:If the round tank is spherical, the radius of the interior space must be measured; the radius is one-half of the diameter. The volume is equal to the radius cubed multiplied by pi multiplied by 4/3.
A:According to Dictionary.com, a curved line is a type of line that continuously bends without any angles. In the United States, the curve is often portrayed as a central angle measured using degrees.
A:People use algebra in their daily lives when they make decisions about health, fitness, financial and money matters and when cooking. Algebra involves the use of known variables and fixed numbers in equations to find the values of unknown numbers.
A:Some things that come in groups of seven include the days of the week, the books in the Harry Potter series, the notes in a typically major or minor scale, the games in the playoff series for Major League Baseball and the Pillars of the House of Wisdom in the Book of Proverbs. Other groups of seven include the number of heavens in Islam and the chakras in Hinduism.
A:The formulas of algebra are used every day in real life when distance needs to be determined, volumes in containers need to be figured out and when sale prices need to be calculated. When using a recipe and doubling it or cutting it in half, algebra is used to determine the exact amount of ingredients. Basic algebraic equations are used almost every day although people often do not realize it.
A:Math is important in life for its practical, everyday applications like cooking and baking, financing a home and providing the right tip at a restaurant. It is also used by professionals to solve problems.
A:The sum of x² plus x² is 2x². The problem requires adding one x squared to one more x squared, which equals two x squared. Substituting 3 for x, 3² + 3² = 2(3²), or 9 + 9 = 18.
A:To solve an equation in one variable graphically, first manipulate the equation to put it in the form f(x) = 0, where x represents the variable present in the equation. Then use mathematical software, a graphing calculator or graph paper to plot the line y = f(x). The solution to f(x) = 0 is the point or points at which the line crosses the x-axis.
A:A kilogram is approximately 2.20 pounds. The kilogram is the base unit the metric system uses for mass. Beginning in July 1959, the internationally accepted standard for the avoirdupois pound became exactly 0.45359237 kg.
A:Quadratic equations govern many real world situations such as throwing a ball, calculating certain prices, construction, certain motions and electronics. They are most often used to describe motion of some sort.
A:We will probably never know who discovered pi, or that the ratio of the circumference of a circle to its diameter is a constant. The search for that constant, also known as pi, goes back nearly 4,000 years, to the Egyptians and Babylonians.
A:The set of all points is called space. Space is taken as the largest possible set in geometry and algebra. Points, lines, line segments, rays, angles and planes are all considered as subsets of space.
A:The Pythagorean theorem is used often in construction, in engineering, in architecture, in design, in art and in aeronautics. The theorem states that, given a right triangle with sides a, b and c, where c represents the hypotenuse (or longest side), the sum of the square of the two sides (a squared plus b squared) is always equal to c squared.
A:Imaginary numbers are typically simplified in the same way that expressions with the variable x are simplified, with the exception of the expression i^2, which has a value equal to -1. For example, the expression 2i + 8i can be simplified by writing it first as (2 + 8) * i, with the final expression written as 10i.
A:The formula for finding the acceleration of a bullet is A = v^2/2l, or velocity squared divided by two times the barrel length. Velocity means muzzle velocity, or the speed at which a bullet leaves the barrel of the gun.
A:The man known as "the father of modern algebraic notation" was French mathematician Francois Viète, according to the math department at Rutgers University. His substitution of letters to mark unspecified or unknown number quantities is recognized as the beginning step in the creation of the algebraic system.