predictive mathematical models

While arranging the elements, in increasing order of atomic mass, Mendeleev left three blanks for elements that were not discovered at that time. He was able to predict the properties of these unknown elements more or less accurately. He named them eka-boron, eka-aluminium and eka-silico..

Knowing the solubility product of a salt, it is possible to predict whether on mixing the solution of its ions, a precipitate will be formed or not. For precipitation to occur, its ionic product should exceed solubility product. Therefore, to predict the precipitation reaction,..

The magnitude of the equilibrium constant, K of a reaction indicates how far a reaction can go in the direction as written. The larger the value of K, the greater will be the equilibrium concentration of the components on the right hand side of the reaction (products) relative to those on the..

From the E values of the two electrodes one can find out whether a given redox reaction is feasible or not. A redox reaction is feasible only if the species which has higher potential is reduced i.e., accepts the electrons and the species which has lower reduction potential is oxidized i.e., loses..

The cost x on advertising in millions of dollars of a company can be modeled by the equation x = 11256 + 7538 t , where t represents the number of years since 1990. Use the model to predict the total cost of advertising in 2003. => $177,092,000,000 or $162,016,000,000 ..

The number of viewers x (in millions) of a sports channel can be modeled by the equation, x = 7 t +12, where t represents the number of years counted from year 1980, ( t = 0 for 1980, 1 for 1981, etc.). Use the linear model to predict the number of viewers in 2007. => ..

Knowing the electronic configuration, one can predict the period, which corresponds to the principal quantum number of the valence shell. The block of the element corresponds to the sub shell, which receives the last electron. The position of an element in the long form of the periodic t..

Choose a linear model for the data as per the table and predict the value of d when t is 10. t 0 3 6 9 12 d 26.58 26.31 25.92 25.66 25.34 => d = 26.58 t ; 2.658 or d = - 0.11 t + 26.58; 25.48 or d = 0.11 t + 26.58; 27.68 or d = 3 t + 26.58; 25.48..

Choose a model which is not equivalent to the other models. => Figure 1 or Figure 4 or Figure 2 or Figure 3..

Use the graph to predict the population in the year 1993. => about 270 millions or less than 250 millions or about 170 millions or less than 210 millions..