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Mathematically, density is defined as mass divided by volume: [1] =, where ρ is the density, m is the mass, and V is the volume. In some cases (for instance, in the United States oil and gas industry), density is loosely defined as its weight per unit volume , [ 2 ] although this is scientifically inaccurate – this quantity is more ...
Exercise books may act as a primary record of students' learning efforts. For younger pupils, books are often collected at the end of each lesson for review, scoring, or grading. Loose worksheets may be pasted into the book so that they are bound with other work. In some schools, exercise books may be colour-coded depending on the subject.
A simple application of dimensional analysis to mathematics is in computing the form of the volume of an n-ball (the solid ball in n dimensions), or the area of its surface, the n-sphere: being an n-dimensional figure, the volume scales as x n, while the surface area, being (n − 1)-dimensional, scales as x n−1.
The volume of a tetrahedron can be obtained in many ways. It can be given by using the formula of the pyramid's volume: =. where is the base' area and is the height from the base to the apex. This applies for each of the four choices of the base, so the distances from the apices to the opposite faces are inversely proportional to the areas of ...
Jane had $5.00, then spent $2.00. How much does she have now? In a cylindrical barrel with radius 2 m, the water is rising at a rate of 3 cm/s. What is the rate of increase of the volume of water? As the developmental skills of students across grade levels varies, the relevance to students and application of word problems also varies.
Volumetric pipettes or bulb pipette allow the user to measure a volume of solution extremely precisely (precision of four significant figures). These pipettes have a large bulb with a long narrow portion above with a single graduation mark as it is calibrated for a single volume (like a volumetric flask). Typical volumes are 20, 50, and 100 mL.
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A few other localities in the United States have also tried such integrated curricula, [5] including Georgia, which mandated them in 2008 but subsequently made them optional. [6] More recently, a few other states have mandated that all districts change to integrated curricula, including North Carolina, Illinois, West Virginia and Utah.
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