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Analysis of a hydrocarbon showed that 7.8 g of the hydrocarbon contained 0.6 g of


hydrogen and that the relative molecular mass was 78. Find the molecular formula of the


hydrocarbon

Use the matrix method (together with elementary row transformations) to solve the following:


2x −y +3z = 2


x +2y −z = 4


−4x +5y +z = 10


 A small plastic sphere is charged to -10 nC. It is held 1.0 cm above a small glass bead at rest on a table. The bead has a mass of 15 mg and a charge of +10 nC. Will the glass bead “leap up” to the plastic sphere?


There are two isotopes of an unknown element, X-19 and X-21. The abundance of X-19 is 12.01%. The percentage of the X-21 isotope is 87.99 % What is the contribution (in amu) to the weighted average from the X-21 isotope, which has a mass of 21.00 amu?


 a company possesses two manufacturing plants, each of which can produce three products: X,Y, and Z from common raw material. However, the proportions in which the products are produced are different in each plant and so are the plant’s operating costs per hour. Following are the data on the production per hour and costs together with current orders in hand for each product.

Plant                                       product                                               operating cost per hour(birr)

                                   X        Y        Z

A                                2         4         3                                             9

B                                4         3         2                                             10

Orders on hand          54       24       60

You are required to use graphical method to find out the number of production hours needed to fulfill the orders on hand at minimum cost.



How would you advise someone would like to register BPT1501 as one of their modules about staying motivated


You are preparing soft maize porridge at home using the following procedure:   1) the maize meal is suspended in cold water, 2) it is added to a pan with boiling water and brought to the boil, 3) it is cooked on the stove for 20 minutes while stirring continuously, 4) after cooking the porridge is removed from the stove and cooled to room temperature, 5) it is then stored it the refrigerator until the next day. Explain the chemical, physical and viscosity changes that starch in the maize meal and porridge undergoes during each stage of the process


According to a report from the research for Studying Health System Change, 20% of South Africans delay or go without medical care because of concerns about cost. Suppose that 8 individuals are randomly selected. (a) What is the probability that two individuals will delay or go without medical care? (2) (b) What is the probability that at most two individuals will delay or go without medical care? (3) (c) What is the probability that at least seven individuals will delay or go without medical care? (3)


1. In the context of choosing a "whole", explain when a "fifth is not always equal to a "fifth". Give an example.



2. Use the number 73 562 to the nearest multiple of 1 000

Write an essay in responding to the following question. How can the concept of Ubuntu be used to accommodate and teach multicultural disadvantaged learners in your classroom

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