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Ready4

In the figure above, if $P Q = x$ , is the area of triangle PQRi> equal to the area of PSTi>?

$P T = \sqrt{2} (P R)$
The triangle PST i>is isosceles.

Ready4

The events of the 2006 movie Driving Lessons i>focus on the friendship between Ben, a shy teenaged boy, with an aging and eccentric actress, Evie, when she hires the boy as a companion to assist her in the house and drive her to various appointments.

The following excerpt from a fictitious science news report discusses a fictitious type of location called a morefai>.For zoologists studying the behavior of certain species of birds, the critical importance of observing the birds in those species' morefa during the annual breeding season is obvious. Such observation allows researchers to study not only the courtship displays of many different individuals within a species, but also the species' social hierarchy. Moreover, since some species repeatedly return to the same morefa, researchers can study changes in group dynamics from year to year. The value of observing a morefa when the birds are not present, however---such as prior to their arrival or after they have abandoned the area to establish their nests---is only now becoming apparent.Based on the definition of the imaginary word morefai> that can be inferred from the previous paragraph, which of the following activities of a bird species must happen in a location for that location to be the species' morefa, and which must NOT happen in a location for that location to be the species' morefa? Make only two selections, one in each column.

Ready4

The circle with center C shown above is tangent to both axes and has an area of Ai>. What is the distance from O to C, in terms of Ai>?

Ready4

What is the value of ki> in the equation $25 - \frac{100}{8} + k = m$ ?

$m = \frac{100}{8}$
$\frac{k}{m} = 0$

Ready4

If ai> is an integer, is $25^{a} + 25^{- a} = x$ ?

$5^{a} + 5^{- a} = \sqrt{x}$
$a > 0$

PREP07 Test 1

If $1,000 is deposited in a certain bank account and remains in the account along with any accumulated interest, the dollar amount of interest, I , earned by the deposit in the first n years is given by the formula $$I = 1000[(1+\frac{r}{100})^n-1]$$, where r percent is the annual interest rate paid by the bank. Is the annual interest rate paid by the bank greater than 8 percent?(1) The deposit earns a total of $210 in interest in the first two years.(2) $$(1+\frac{r}{100})^2>1.15$$

In the xy-coordinate plane, line l passes through the point (-3, 0). Does line I pass through the point $$(0,\frac{3}{4} ) $$?1. The slope of line l is $$\frac{1}{4}$$2. Line l passes through the point (5, 2).

PREP07 Test 2

One kilogram of a certain coffee blend consists of x kilogram of type I coffee and y kilogram of type II coffee. The cost of the blend is C dollars per kilogram, where C = 6.5x + 8.5y. Is x<0.8?(1) y>0.15(2) $$C\ge7.30$$

Ready4

If ki> is a positive integer, is ${(\frac{1}{2})}^{k} > 0.125$ ?

$k > 3$
${(\frac{1}{2})}^{k - 1} < 0.25$

Ready4

If $\vec{z}$ denotes the greatest integer less than or equal to zi>, is $\vec{z} = 1$ ?

$8 z - 1 = - 13 + 5 z$
$1 < z < 2$

Ready4

$a$	$b$	$c$
$d$	$e$	$f$
$g$	$h$	$<font color='#FE8080'>i</font>$

Each of the letters in the table above can have a value of 1, 2, or 3. Each row can only have exactly one of each of these numbers, and the same is true for each column. What is the value of $i$ ?

(1) $b+e=3$

(2) $h+f=5$

Magoosh

Prof. Hernandez's monumental work The History of Central Americai> covers everything about the region from the origin of the Mesoamerican period to the end of the Cold War. While the book has several informative maps and charts, many of the chapters spend less time describing facts and more time explaining Prof. Hernandez's theories. Indeed, the last two chapters consist exclusively of his exposition of theory of the role of Central America in post WWII world politics. Therefore, properly speaking, this book is not a history book. Which of the following is an assumption that supports drawing the conclusion above from the reasons given for that conclusion?

When computer hackers released the "I Love You" virus in 2000, it raced around the world deleted music files and images, as well as raiding email addresses to multiply itself and send itself and other emails onward.

Ready4

In the xyi>-plane above, is angle QPR a right angle?

Line segment PQ is perpendicular to the xi>-axis.
Line segment PR is perpendicular to the yi>-axis.

The historical basis for the King Arthur legend has long been debated by scholars. One school of thought, citing entries in the History of the Britons and Welsh Annals, sees Arthur as a genuine historical figure, a Romano-British leader who fought against the invading Anglo-Saxons sometime in the late 5th to early 6th century. The other text that seems to support the case for Arthur's historical existence is the 10th-century Annales Cambriae.i> The latest research shows that the Annales Cambriaei> was based on a chronicle begun in the late 8th century in Wales. Additionally, the complex textual history of the Annales Cambriae precludes any certainty that the Arthurian annals were added to it even that early. They were more likely added at some point in the 10th century and may never have existed in any earlier set of annals. This lack of convincing early evidence is the reason many recent historians exclude Arthur from their accounts of post-Roman Britain. In the view of historian Thomas Charles-Edwards there may well have been an historical Arthur, but that a historian can as yet say nothing of value about him. These modern admissions of ignorance are a relatively recent trend; earlier generations of historians were less skeptical. Historian John Morris made the putative reign of Arthur the organizing principle of his history of post-Roman Britain and Ireland. Even so, he found little to say about a historical Arthur. Partly in reaction to such theories, another school of thought emerged which argued that Arthur had no historical existence at all. Morris's Age of Arthuri> prompted archaeologist Nowell Myres to observe that no figure on the borderline of history and mythology has wasted more of the historian's time. Arthur is not mentioned in the Anglo-Saxon Chronicle or named in any surviving manuscript written between 400 and 820. He is absent from Bede's early-8th-century Ecclesiastical History of the English People,i> another major early source for post-Roman history.br/] Some scholars argue that Arthur was originally a fictional hero of folklore—or even a half-forgotten Celtic deity—who became credited with real deeds in the distant past. They cite parallels with figures such as the Kentish totemic horse-gods Hengest and Horsa, who later became historicized. Bede ascribed to these legendary figures a historical role in the 5th-century Anglo-Saxon conquest of eastern Britain. Historical documents for the post-Roman period are scarce. Of the many post-Roman archeological sites and places, only a handful have been identified as "Arthurian," and these date from the 12th century or later. Archaeology can confidently reveal names only through inscriptions found in reliably dated sites. In the absence of new compelling information about post-Roman England, a definitive answer to the question of Arthur's historical existence is unlikely.

Ready4

For our nation to maintain a position of economic strength relative to other countries, it requires both accelerated personal investment levels and the unobstructed growth of production capacity, the factor which is known as A i>by economists and which grows largely spontaneously through society's development of technology. However, since technology development can be driven through economic support to individual entrepreneurs, ensuring these two key economic outcomes will require balancing these two kinds of financial incentives from the government to the individual.

If the statements in the passage above are true, for our nation to maintain a position of economic strength relative to other countries, it must

Ready4

The rectangular rug shown in the figure above has an accent border. What is the area of the portion of the rug that excludes the border?

I. The perimeter of the rug is 44 feet.

II. The width of the border on all sides is 1 foot.

In township K, $$\frac{1}{5}$$ of the housing units are equipped with cable television. If $$\frac{1}{10}$$ of the housing units, including $$\frac{1}{3}$$ of those that are equipped with cable television, are equipped with video I cassette recorders, what fraction of the housing units have neither cable television nor videocassette recorders?

Ready4

A security code is to consist of 3 different letters of the alphabet from A to Z inclusive except the first letter cannot be a vowel (A, E, I, O, or U). How many different combinations for the security code are there?