Who posed an eastern threat to the Byzantine Empire?

Consider the one-parameter family of linear systems given by $X'$ =

$$\begin{pmatrix} a & √2 + (a/2) \\ √2 - (a/2) & 0 \end{pmatrix}$$

$X$ (a) Sketch the path traced out by this family of linear systems in the trace-determinant plane as a varies. (b) Discuss any bifurcations that occur along this path and compute the corresponding values of a

Use the Gauss-Jordan method to solve each system of equations. For systems in two variables with infinitely many solutions, give the solution with y arbitrary. For systems in three variables with infinitely many solutions, give the solution with z arbitrary.

$$\begin{aligned} x+y-z &=6 \\ 2 x-y+z &=-9 \\ x-2 y+3 z &=1 \end{aligned}$$

Write a functionstring middle(string str)that returns a string containing the middle character in str if the length of str is odd, or the two middle characters if the length is even. For example, middle("middle") returns "dd".

Explain how your understanding of your body as "a system of interdependent systems” has changed as a result of studying this chapter.

In the braking test of a sports car, its velocity is reduced from $70 \mathrm{mi}$ h to zero in a distance of $170 \mathrm{ft}$ with slipping impending. Knowing that the coefficient of kinetic friction is $80$ percent of the coefficient of static friction, determine $(a)$ the coefficient of static friction, $(b)$ the stopping distance for the same initial velocity if the car skids. Ignore air resistance and rolling resistance.

Describe the impact of agricultural pollutants in the Eastern Mediterranean.

The long-term liability section of Eastern Post Corporation’s balance sheet as of December 31, 2015, included 10% bonds having a face amount of $40 million and a remaining premium of$6 million. On January 1, 2016, Eastern Post retired some of the bonds before their scheduled maturity. Required: Prepare the journal entry by Eastern Post to record the redemption of the bonds under each of the independent circumstances below: 1. Eastern Post called half the bonds at the call price of 102 (102% of face amount). 2. Eastern Post repurchased $10 million of the bonds on the open market at their market price of$10.5 million.

For each of the following sentences, choose the correct word or word group in parentheses.

EXAMPLE: I'm surprised that this cookbook (doesn't, don't) include a recipe for the Middle Eastern dish baba ghanouj. doesn't

I had (fewer, Less) cavities than my sister.

Write a function def middle(string) that returns a string containing the middle character in string if the length of string is odd, or the two middle characters if the length is even. For example, middle("middle") returns "dd".

Where do most microorganisms live in nature?

The most popular colors for compact and sports cars in a recent year are given in the table.

Color, Percentage Silver, 19 Black/black effect, 17 Gray, 17 Blue, 15 Red, 12 White/white pearl, 12 Beige/brown, 3 Yellow/gold, 2 Green, 2 Other, 1

Use an appropriate graphical display to describe these data.

Explain why Java programs running on Android systems do not use the standard Java API and virtual machine.

Give you experience in using the cost and revenue functions to find the break-even point. Austin Avenue Clothiers pays $57 each for sports coats and has a fixed monthly cost of$780. The store sells the coats for $79 each. (a) What is the linear cost–volume function? (b) What is the linear revenue function? (c) What is the break-even number of coats?