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Ready4

If x is a positive integer, is the value of $y - z$ at most twice the value of $3^{x} - 5^{x}$ ?

$y = 3^{x + 1}$ and $z = 5^{x + 1}$
$x = 5$

OG17 OG18

A recent census revealed the age distribution of the residents of Town Y, shown in the graph. Since the census was performed, no resident has moved into or away from Town Y and there have been no recorded births or deaths. GMAT、gmat题库、gmat模考、gmat考满分

Based on the given information, use the drop-down menus to most accurately complete the following statements.The census indicates that times as many residents were children or teenagers as were seniors.If, at the time of the census, there were 540 more people aged 0-39 than people aged 40 or greater, then the population of Town Y at the time of the census was .

Even though physiological and behavioral processes are maximized within relatively narrow ranges of temperatures in amphibians and reptiles, individuals may not maintain activity at the optimum temperatures for performance because of the costs associated with doing so. Alternatively, activity can occur at suboptimal temperatures even when the costs are great. Theoretically, costs of activity at suboptimal temperatures must be balanced by gains of being active. For instance, the leatherback sea turtle will hunt during the time of day in which krill are abundant, even though the water is cooler and thus the turtle's body temperature requires greater metabolic activity. In general, however, the cost of keeping a suboptimal body temperature, for reptiles and amphibians, is varied and not well understood; they include risk of predation, reduced performance, and reduced foraging success.One reptile that scientists understand better is the desert lizard, which is active during the morning at relatively low body temperatures (usually 33.0 C), inactive during midday when external temperatures are extreme, and active in the evening at body temperatures of 37.0 C. Although the lizards engage in similar behavior (e.g., in morning and afternoon, social displays, movements, and feeding), metabolic rates and water loss are great and sprint speed is lower in the evening when body temperatures are high. Thus, the highest metabolic and performance costs of activity occur in the evening when lizards have high body temperatures. However, males that are active late in the day apparently have a higher mating success resulting from their prolonged social encounters. The costs of activity at temperatures beyond those optimal for performance are offset by the advantages gained by maximizing social interactions that ultimately impact individual fitness.

Ready4

The shaded portion of the rectangle shown above represents a piece that will be cut from a tile to fit into a mosaic. If the area of the shaded portion is 21 square centimeters and $y=x-1$ , then $z$ equals

Magoosh

Marijuana advocate: If marijuana were legalized in this state, the state could start assessing tax on the drug, increasing state revenues. Since sales would be legal, the criminal culture supporting the drug would vanish; as crimes ceased, the state would save money on fighting crime. Overall, the state has a tremendous amount to gain by making the drug legal. Attorney General: Studies of legalizing previously illegal drugs in other countries suggests that criminals controlling the business will not be eager either to sacrifice their profits or to play by the rules. Moreover, diverting money from crime-fighting after such legalization gives those criminals more free rein. The Attorney General uses which of the following techniques in responding to the marijuana advocate?

The table lists data on the 22 earthquakes of magnitude 7 or greater on the Richter Scale during a recent year. Times are given in hours, minutes, and seconds on the 24-hour Greenwich Mean Time (GMT) clock and correspond to standard time at Greenwich, United Kingdom (UK). Latitude, measured in degrees, is 0 at the equator, increases from 0 to 90 proceeding northward to the North Pole, and decreases from 0 to -90 proceeding southward to the South Pole. Longitude, also measured in degrees, is 0 at Greenwich, UK, increases from 0 to 180 from west to east in the Eastern Hemisphere, and decreases from 0 to -180 from east to west in the Western Hemisphere.

Ready4

In a rectangular coordinate system, point $R$ lies on the $x$ -axis and has coordinates $(6,0)$ . If point $S$ lies on the positive $y$ -axis and the area of the triangle formed by connecting the origin, $R$ , and $S$ is $18$ , what is the $y$ -coordinate of $S$ ?

Ready4

In a rectangular coordinate system, point $Q$ lies on the $x$ -axis and has coordinates $(10,0)$ . If point $S$ lies on the positive $y$ -axis and the area of the triangle formed by connecting the origin, $Q$ , and $P$ is $15$ , what is the $y$ -coordinate of $P$ ?

Magoosh

Mayor of Smalltown: Instituting high taxes on sodas, which are currently untaxed in Smalltown, has been shown in the past year to encourage people to reduce their intake of soda and live healthier lifestyles. Because the effects of such taxes on local businesses have not yet been determined, though, I believe we should wait before implementing such a tax.Activist: Your position is inconsistent with previous actions you have taken. You have implemented many laws that have decreased local businesses' revenues in order to help consumers, so concern for local businesses cannot be the true reason you refuse to pass this law now.The activist's argument is flawed because it fails to consider that

Ready4

If $2$ different animals are to be selected at random from a group of $16$ cats and dogs, and if $p$ is the probability that one cat and one dog will be selected, is $p > \frac{1}{2}$ ?

(1) At most $6$ animals are dogs.

(2) The probability that both animals selected will be cats is greater than $\frac{1}{2}$ .

Ready4

If n is a positive integer and $m = 6.2 * 10^{n}$ , what is the value of m?

$6 * 10^{3} < m < 5 * 10^{5}$
$m^{2} = 3.844 * 10^{9}$

Ready4

In a rectangular coordinate system, point $R$ lies on the $y$ -axis and has coordinates $(0,6)$ . If point $S$ lies on the negative $x$ -axis and the area of the triangle formed by connecting the origin, $R$ , and $S$ is $24$ , what is the $x$ -coordinate of $S$ ?

Even though physiological and behavioral processes are maximized within relatively narrow ranges of temperatures in amphibians and reptiles, individuals may not maintain activity at the optimum temperatures for performance because of the costs associated with doing so. Alternatively, activity can occur at suboptimal temperatures even when the costs are great. Theoretically, costs of activity at suboptimal temperatures must be balanced by gains of being active. For instance, the leatherback sea turtle will hunt during the time of day in which krill are abundant, even though the water is cooler and thus the turtle's body temperature requires greater metabolic activity. In general, however, the cost of keeping a suboptimal body temperature, for reptiles and amphibians, is varied and not well understood; they include risk of predation, reduced performance, and reduced foraging success. One reptile that scientists understand better is the desert lizard, which is active during the morning at relatively low body temperatures (usually 33.0 C), inactive during midday when external temperatures are extreme, and active in the evening at body temperatures of 37.0 C. Although the lizards engage in similar behavior (e.g., in morning and afternoon, social displays, movements, and feeding), metabolic rates and water loss are great and sprint speed is lower in the evening when body temperatures are high. Thus, the highest metabolic and performance costs of activity occur in the evening when lizards have high body temperatures. However, males that are active late in the day apparently have a higher mating success resulting from their prolonged social encounters. The costs of activity at temperatures beyond those optimal for performance are offset by the advantages gained by maximizing social interactions that ultimately impact individual fitness.

Ready4

The figure shown below is a quarter circle. If $xymz$ is a rectangle, then what is the length of $\overline{zy}$ ?

The graphic displays results of an Internet survey on the effectiveness and popularity of various treatments for depression. The scale on the horizontal axis represents popularity, P, defined as the fraction of all respondents who tried the treatment; the scale on the vertical axis represents effectiveness, E, defined as the fraction of all respondents who considered a given treatment to be effective.On the basis of the information provided, select from each of the drop-down menus the option that creates the most accurate statement.The most effective treatment used by the greatest number of people is .Among the labeled treatments tried by more than half of the respondents, was the least effective.

C13

As understandings of the solar life cycle developed, scientists were confronted by a nagging question: If, early in the history of Earth's planetary formation, the sun was significantly dimmer than it is now, how do we explain evidence for the presence of liquid water on the planet's surface during this period? It is understood that during the early Earth period our sun would have shone at about 70 percent of its current luminosity, significantly below the level necessary to sustain the presence of liquid oceans on the planet's surface. But paleontological and geological records indicate with substantial certainty that liquid water was present on the Earth's surface during this time. If scientific models of solar development and the early geological history of Earth are to be reconciled, there must have been some other, intervening factor affecting surface temperatures during this early period of geologic history.

Our method of reconciling these two apparently contradictory bodies of evidence has been to analyze the characteristics and chemical composition of Earth's atmosphere during its various periods of geological development. We have known for decades that the presence of certain vapors in the air, commonly known as “greenhouse gases,” increases the amounts of heat retained by an atmosphere to a degree proportionate to the concentration of greenhouse gases within it. If the Earth was warmer in the past than solar luminosity would suggest—and we have strong evidence that it was—then we can expect that the distribution of greenhouse gases in its atmosphere would be of paramount value in explaining that discrepancy. Heightened greenhouse gas levels would trap and magnify the sun's heat as it struck the atmosphere, enabling liquid water to exist on the surface of Earth. However, we have discovered little evidence that greenhouse gases during the early Earth period were present in larger quantities than previously assumed. These surprising findings indicate that the discrepancy between solar-astronomical and geological evidence related to the development of Earth's oceans cannot be explained by the presence of carbon in the atmosphere.

One likely alternative is that another, non-solar source for atmospheric heat during the early Earth period. Earth and its moon were much closer together in the early geologic history of the planet, and tidal heating caused by the moon's rotation around Earth was likely much greater. While it is unclear how much influence this phenomenon might have exerted over atmospheric temperatures, scientists are increasingly convinced that it could play a part in explaining the unlikely presence of liquid water on our infant planet, perhaps in combination with indeterminate geological activity, solar flares, or irregularities in Earth's magnetic field.

Ready4

A circular barrel has a band painted around its circumference, as shown above. What is the surface area of the painted band?

(1) $x=0.75$

(2) The radius of the barrel is 1 foot.

Ready4

In the figure above, what is the value of $<font color='#FE8080'>a</font>+b$ ?

(1) $b=88$

(2) $\Delta WYZ$ and $\Delta XYZ$ are both isosceles and $\text{m}\angle XYW=15^{\circ}$

Ready4

Box	$B1$	$B2$	$B3$	$B4$	$B5$	$B6$
Fraction of the Total Value of Rachel's Order	$\frac{1}{4}$	$\frac{5}{24}$	$\frac{3}{16}$	$\frac{1}{6}$	$\frac{1}{8}$	$\frac{1}{16}$

Rachel submitted an order for several items from a popular online retail site. Her items were packaged in 6 separate boxes and were delivered on Monday and Tuesday of this past week. Each box was labeled $B1$ , $B2$ , $B3$ , $B4$ , $B5$ , or $B6$ . The table shows the value of each box as a fraction of the total value of Rachel's order. If the delivery on Monday had a value greater than $\frac{1}{2}$ of the total value of Rachel's order, was box $B4$ delivered on Monday?

(1) $B3$ and $B5$ were delivered on Monday.

(2) $B1$ and $B2$ were delivered on Tuesday.

Village SitesAn archaeological team has been excavating three ancient village sites—Barras, Agna, and Cussaia—looking in particular at kitchen waste dumps as a way to understand the villages' dietary patterns and trading relationships. What follows are brief summaries of their findings.Barras: The best data come from stratified finds in this oceanside village, which was inhabited from AD 600 to 1300 and was the only one of the three villages to produce seafood, its main dietary item. Though Barras residents hunted on land and raised crops, this provided relatively small amounts of food. As Barras's overall prosperity rose, there was more food available per person, and its population increased from an average of 100 residents in the AD 600s to 400 residents in the AD 1000s to 600 residents in the AD 1200s.Agna: Agna was established in an inland forest around AD 800 and its residents mainly hunted but also ate considerable amounts of fruit, nuts, and other forest-vegetable products. They also traded meat to Barras for other goods. With no open fields, Agna grew no grain.Cussaia: Predating Barras, Cussaia depended heavily on raising grain crops and eventually obtained seafood and meat via trade. It traded directly only with Barras, because a mountain range separated it from Agna, though some products may have been traded between Agna and Cussaia via Barras.Additionally, there is no evidence that any other village traded with Barras, Agna, or Cussaia prior to AD 1300.Food VarietyBarras: Percentages, by Estimated Weight, of Dietary Items Consumed per Person per Month GMAT、gmat题库、gmat模考、gmat考满分

Food ConsumptionBarras, Agna: Estimated Average Monthly Meat and Seafood Consumption (lb per 4-Person Family) GMAT、gmat题库、gmat模考、gmat考满分