the rate of change of the first quantity is same as the change of the second quantity. So the graph is a straight line . But as far as quantity is concerned it can be anything provided they both increase in the same rate...
When quantities are related this way we say that they are in direct proportion.
No. For example, 500 increased by 10% = 550 Now, decreasing 550 by 10% results in: 495, not 500.
It is simply a set of values with the operations defined on the set. If the results of the operation satisfy certain requirements, then the set may be a Group, a Ring or a Field (or other algebraic structure).
Not necessarily. Often it is, but the line of best fit is simply an equation that closely matches the results. Therefore any line could be a line of best fit, linear, quadradic, or even cubic! The sky (and the results) are the limit.
Repeating halving refers to a process where a quantity is successively divided by 2 multiple times. Each division results in half of the previous quantity. This process is commonly seen in mathematical concepts such as geometric sequences or exponential decay. Repeating halving can also be applied in real-world scenarios, such as in finance for calculating compound interest or in computer science for binary search algorithms.
When quantities are related this way we say that they are in direct proportion.
quantities which are not mademade from major quantities
Linear proportion refers to a relationship between two quantities where the ratio between them remains constant. In a linear proportion, if one quantity increases or decreases, the other quantity changes at a constant rate, resulting in a straight-line graph when plotted. This concept is often represented by the equation (y = kx), where (k) is the constant of proportionality. Examples include situations where doubling one quantity results in a doubling of the other, such as in speed and distance.
Infinity plus infinity is still considered infinity. In mathematical terms, infinity is not a specific number but rather a concept that represents an unbounded quantity. Thus, adding two infinite quantities still results in an infinite quantity.
Opposite quantities can be combined to make zero when they effectively cancel each other out. For example, if you have +5 and -5, the positive quantity of 5 and the negative quantity of 5 sum to zero. This occurs because the addition of a number and its negative counterpart results in no net value, demonstrating the principle of balance in mathematics.
-- If doubling one quantity causes the other one to also double, the two quantitiesare directly proportional. Their ratio is always the same.-- If doubling one quantity causes the other one to drop by half, the two quantitiesare inversely proportional. Thier product is always the same.
If you vary only one quantity in an experiment, then the results will be related to that quantity. If you vary two or more quantities, then the results will be ambiguous; you will not know what variation is responsible for the observed result.
The right quantity depends on the specific context, such as the product being used, the purpose, and individual preferences. It's important to follow recommended guidelines or instructions for substances like medications or cleaning products, while personal preferences can influence quantities in areas like food or fashion. Experimentation and adjustments may be necessary to find the perfect amount for optimal results.
A variable Y is said to increase linearly with another variable X if every increase of a fixed amount in X results in another fixed increase in Y. In terms of a graph, the relationship is a straight line.
QNS typically stands for Quantity Not Sufficient. In the context of lab results for cholesterol, QNS may indicate that the sample provided was not enough to perform the necessary cholesterol testing. Additional sample may be needed for accurate results.
Energy is a product of 1 scalar quantity which is mass and 1 vector quantity which is the velocity of light within a vacuum. The velocity of light in the equation is squared which returns an absolute value negating any sign it has. This results in both terms having no sign. A vector quantity must have both a direction and a magnitude. The product returned will always be a positive quantity which means it has no direction.
A change in quantity demanded