1.Capacitors of capacitance 1 µF, 3µF, 5µF and 6µF are connected in parallel to a direct voltage supply of 100V. Determine the following : (4 marks) (a)Draw a diagram to illustrate this information

(b)The equivalent circuit capacitance

(c)The total charge in the circuit

(d)The charge on capacitor 6µF​

Lola says these two expressions have the same value. expression a expression b which explains whether lola is correct?

Questions 9-10. use the table of educational expenditures to answer the questions. k-12 education expenditures population indiana $9.97 billion 6.6 million illinois $28.54 billion 12.9 million kentucky $6.58 billion 4.4 million michigan $16.85 billion 9.9 million ohio $20.23 billion 11.6million 9. if the amount of k-12 education expenses in indiana were proportional to those in ohio, what would have been the expected value of k-12 expenditures in indiana? (give the answer in billions rounded to the nearest hundredth) 10. use the value of k-12 education expenditures in michigan as a proportion of the population in michigan to estimate what the value of k-12 education expenses would be in illinois. a) find the expected value of k-12 expenditures in illinois if illinois were proportional to michigan. (give the answer in billions rounded to the nearest hundredth) b) how does this compare to the actual value for k-12 expenditures in illinois? (lower, higher, same? )

Let x = a + bi and y = c + di and z = f + gi. which statements are true?