Read the following passage and answer the question that follows. "In the 1300s the Ottoman Turks established another Muslim empire in the region. They took Constantinople in 1453 and made it the Ottoman capital. By the 1600s the Ottoman Empire included most of Southwest Asia. The empire also stretched into parts of eastern Europe and most of North Africa. However, political problems and rivalries with other countries slowly weakened the empire. Over time ethnic minorities within the empire's borders also began to push for independence." What are three reasons that the Ottoman Empire weakened?

Which terms above refer to land areas?

How did society and the legal system in England evolve after 1066?

Find the real solutions, if any, of each equation. (Where they appear, a, b, m, and n are positive constants.) $\frac{1}{x-m}+\frac{1}{x-n}=\frac{2}{x}\quad x\ne 0, x \ne m, x\ne n$

When a specific variety of radish is grown without fertiliser, the weights of the radishes produced are normally distributed with mean 40 g and standard deviation 10 g. When the same variety of radish is grown in the same way but with fertiliser added, the weights of the radishes produced are also normally distributed, but with mean 140 g and standard deviation 40 g. Determine the proportion of radishes grown: (i) with and (ii) without fertiliser, which have weights between 20 and 60 g.

Jane Fernandez owns a service business called Jane’s Car Wash, which uses the following accounts. Cash, Accts. Pay.—Pine Supplies, Miscellaneous Expense, Accts. Rec.—Tony’s Limos, (Jane Fernandez, Capital), Rent Expense, Supplies, (Jane Fernandez, Drawing), Repair Expense, Prepaid Insurance, Sales, Utilities Expense, Accts. Pay.—Atkin Supplies, Advertising Expense Transactions: June 1. Received cash from owner as an investment, $16,000.00. R1. 2. Paid cash for supplies,$300.00. C1. 3. Paid cash for rent, $900.00. C2. 4. Bought supplies on account from Atkin Supplies,$1,700.00. M1. 5. Paid cash for electric bill, $146.00. C3. 8. Paid cash on account to Atkin Supplies,$1,000.00. C4. 8. Received cash from sales, $980.00. T8. 8. Sold services on account to Tony’s Limos,$450.00. S1. 9. Paid cash for insurance, $1,200.00. C5. 10. Paid cash for repairs,$388.00. C6. 10. Received cash from sales, $476.00. T10. 11. Paid cash for miscellaneous expense,$15.00. C7. 11. Received cash from sales, $630.00. T11. 12. Received cash from sales,$900.00. T12. 15. Paid cash to owner for personal use, $400.00. C8. 15. Received cash from sales,$850.00. T15. 16. Paid cash for supplies, $1,100.00. C9. 17. Received cash on account from Tony’s Limos,$225.00. R2. 17. Bought supplies on account from Pine Supplies, $600.00. M2. 17. Received cash from sales,$500.00. T17. 18. Received cash from sales, $800.00. T18. 19. Received cash from sales,$650.00. T19. 22. Bought supplies on account from Pine Supplies, $60.00. M3. 22. Received cash from sales,$610.00. T22. 23. Paid cash for telephone bill, $85.00. C10. 23. Sold services on account to Tony’s Limos,$582.00. S2. 24. Paid cash for advertising, $125.00. C11. 24. Received cash from sales,$300.00. T24. 25. Received cash from sales, $770.00. T25. 26. Paid cash for supplies,$90.00. C12. 26. Received cash from sales, $300.00. T26. 29. Received cash on account from Tony’s Limos,$350.00. R3. 30. Paid cash to owner for personal use, $450.00. C13. 30. Received cash from sales,$500.00. T30. Instructions:

1. The journals for Jane’s Car Wash are given in the Working Papers. Use page 1 of the journal to journalize the transactions for June 1 through June 19. Source documents are abbreviated as follows: check, C; memorandum, M; receipt, R; sales invoice, S; calculator tape, T.
2. Prove and rule page 1 of the journal. Carry the column totals forward to page 2 of the journal.
3. Use page 2 of the journal to journalize the transactions for the remainder of June.
4. Prove page 2 of the journal.
5. Prove cash. The beginning cash balance on June 1 is zero. The balance on the next unused check stub is $18,642.00.
6. Rule page 2 of the journal.

Perform each of the following tasks. All work is to be done by hand (pencll-and-paper calculations only). (i) Set up the augmented matrix for the system; then place the augmented matrix in row echelon form. (ii) If the system is inconsistent, so state, and explain why. Otherwise, proceed to the next item. (iii) Use back-solving to find the solution. Place the final solution in parametric form.

$$\begin{aligned} x_{1}+2 x_{2}-3 x_{3}+x_{4} &=6 \\ x_{1}-3 x_{2}+x_{3}-2 x_{4} &=6 \\-5 x_{2}+4 x_{3}-3 x_{4} &=0 \end{aligned}$$

A metal ball with diameter of a half a centimeter and hanging from an insulating thread is charged up with $1 \times 10^{10}$ excess electrons. An initially uncharged identical metal ball hanging from an insulating thread is brought in contact with the first ball, then moved away, and they hang so that the distance between their centers is 20 cm. Calculate the electric force one ball exerts on the other, and state whether it is attractive or repulsive. If you have to make any simplifying assumptions, state them explicitly and justify them.

What are some positive teamworking behaviors you practice?

How did World War II change the ethnic diversity of Poland?

Determine whether each statement is true or false. If the statement is true, prove it. If the statement is false, give a counterexample. Assume that the functions $f$, $g$, and $h$ take on only positive values.

$$(2n)^2=\Omega(n^2)$$

The following data represent the cost C (in thousands of dollars) of manufacturing Chevy Cobalts and the number x of Cobalts produced. Draw a scatter diagram of the data using x as the independent variable and C as the dependent variable. Comment on the type of relation that may exist between the two variables C and x.

$$\begin{matrix} \text{Number of Cobalts} & \text{Cost, C}\\ \text{Produced, x} & \text{ }\\ \text{0} & \text{10}\\ \text{1} & \text{23}\\ \text{2} & \text{31}\\ \text{3} & \text{38}\\ \text{4} & \text{43}\\ \text{5} & \text{50}\\ \text{6} & \text{59}\\ \text{7} & \text{70}\\ \text{8} & \text{85}\\ \text{9} & \text{105}\\ \text{10} & \text{135}\\ \end{matrix}$$

Find the slope of the line that passes through the points. (-3, -2) and (-3, 6)

En sus pinturas, Antonio Berni representa un deporte en particular. ¿Cuál es?