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Ready4

For how many values of x does x^{4}-4x^{3} + 4x^{2}=0?

Ready4

In 1891, an unknown benefactor bailed out the financially struggling Natural History Museum on the condition that the butterfly park be dismantled, setting free more than 16,000 butterflies and moths, collected over five decades, that were legally considered the property of the museum.

Ready4

Which of the following expressions is equivalent to 18 20 − 18 19 34 ?

Ready4

Timmy has only nickels (5-cent coins) and quarters (25-cent coins) in his pocket. How many quarters does he have?

(1) The total value of Timmy's coins is $1.05.

(2) Timmy has more quarters than nickels in his pocket.

Ready4

Both x and y are integers. If 250 = 1024x + y and 1 ≤ y ≤ 1024, how many possible values are there for y?

Ready4

Is an integer?

(1)

(2)

Ready4

A survey of private schools shows that there are now one teacher for every eight students, twice as many than there were five years ago.

Ready4

Copyright, trademarks, and other aspects of intellectual property law do not apply to the Internet in the same way as they do to other forms of media, like print, television, or radio, because it is a rapidly changing platform.

Ready4

The unemployment rate of Lorena has remained high ever since an economic crash ten years ago. However, over this same period the country has experienced an exponential growth in its technology industry, leading to more jobs. Such digital revolutions usually obviate many other less efficient jobs, which can contribute to unemployment. However, Lorena's non-technological industries have shown no sign of diminishment.

Which of the following, if true, best reconciles the discrepancy between the steady unemployment rate and the increase in jobs in Lorena?

Ready4

Founded in 2001, the company increased its revenue more than double since then and profits.

Ready4

If is a positive integer and has a remainder of 3, is divisible by 7?

(1) is divisible by 3

(2)

Ready4

If xyz ≠ 0, is x9y4z5 > 0?

(1) yz < 0

(2) xz > 0

Ready4

Even though Japan’s gross domestic product hardly increased over the past decade, prudent fiscal policies have allowed the country to keep unemployment rates stable.

Ready4

In a shipment of books purchased online, are hardcover. If of the shipment are hardcover and the rest are softcover, how many books purchased online are softcover?

Ready4

If a certain right triangle has a hypotenuse that is twice the length of the shortest side, then what is the measure of the triangle's smallest angle?

Ready4

Archeology has undoubtedly enriched mankind's understanding of history more than any other discipline. Archeology has unraveled a great part of man's unwritten past. Studying the material remains of past human life and activities may not seem important or exciting to the average person when compared to other scientific pursuits like the biological sciences. But archeology's aim to understand mankind is a noble endeavor that goes well beyond uncovering buried treasures. Knowing what made past cultures cease to exist may indeed provide the key to making sure that history does not repeat itself.

However, when it comes to dating archeological samples, several timescale problems arise. For example, Christian time counts the birth of Christ as the beginning, AD 1 (Anno Domini); everything that occurred before Christ is counted backwards from AD as BC (Before Christ). The Greeks consider the first Olympic Games as the beginning or 776 BC. The Muslims count the Prophet's departure from Mecca, or the Hegira, as their beginning at AD 662. The Mayan calendar used 3114 BC as their reference. As a result, carbon dating began to emerge as the most popular and accepted form of determining the absolute dating of artifacts and events. However, this technique is not without its limitations or risks.

First, the size of the archeological sample is important. Larger samples are better because purification and distillation remove some matter. Although new techniques for working with very small samples have been developed, like accelerator dating, these are very expensive and still somewhat experimental. Second, because the decay rate is logarithmic, radiocarbon dating has significant upper and lower limits. It is not very accurate for fairly recent deposits. In recent deposits so little decay has occurred that the error factor (the standard deviation) may be larger than the date obtained.

Despite all of this, carbon dating remains a useful tool for archeological research, helping archeologists obtain a much needed global perspective on the timing of major prehistoric events.

Ready4

If 27 0.5+y =6, then y=

Ready4

If it takes 65 minutes to drive s miles, how many minutes will it take to drive r miles at the same rate?

Ready4

If 2^n is a divisor of  and 2^m is not a divisor of , where , what is the value of ?

Ready4

How many hours does it take Jay to paint p rooms if he paints at the rate of q rooms per hour?

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