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Math Knowledge

A cylinder with a radius (r) and a height (h) has a surface area of:

2(π r²) + 2π rh

A cylinder is a solid figure with straight parallel sides and a circular or oval cross section with a radius (r) and a height (h). The volume of a cylinder is π r²h and the surface area is 2(π r²) + 2π rh.

Word Knowledge

Ethical most nearly means:

honorable

Conforming to accepted standards.

Arithmetic Reasoning

Jennifer scored 73% on her final exam. If each question was worth 4 points and there were 120 possible points on the exam, how many questions did Jennifer answer correctly?

Jennifer scored 73% on the test meaning she earned 73% of the possible points on the test. There were 120 possible points on the test so she earned 120 x 0.73 = 88 points. Each question is worth 4 points so she got $ \frac{88}{4} $ = 22 questions right.

Word Knowledge

Flourish most nearly means:

brandish

To make bold, sweeping gestures.

Automotive Information

Too much fuel results in a __________ air-fuel mixture that burns quicker and cooler.

rich

The stoichiometric ratio defines the proper ratio of air to fuel necessary so that an engine burns all fuel with no excess air. For gasoline fuel, the stoichiometric ratio is about 14.7:1 or for every one gram of fuel, 14.7 grams of air are required. Too much air results in a lean air-fuel mixture that burns more slowly and hotter while too much fuel results in a rich mixture that burns quicker and cooler.

Mechanical Comprehension

A block and tackle with four pulleys would have a mechanical advantage of:

Two or more pulleys used together constitute a block and tackle which, unlike a fixed pulley, does impart mechanical advantage as a function of the number of pulleys that make up the arrangement. So, for example, a block and tackle with three pulleys would have a mechanical advantage of three.

Word Knowledge

Curtail most nearly means:

shorten

To make less.

Electronics Information

Which of the following is not an advantage of semiconductors over conductors?

a semiconductor conducts current better than a conductor

A semiconductor is a material that has a limited ability to conduct electrical current with conductivity between that of an insulator and that of a conductor. Silicon, a cheap and abundant material, is the most used semiconductor material although other materials are used in the electronics components made from semiconductors. The primary advantages of a semiconductor over a conductor is that the conductivity of a semiconductor can be varied under an external electrical field giving engineers precise control over complex circuits and, unlike conductors like metals, a semiconductor's conductivity increases with increased temperatures.

Math Knowledge

$2$\frac{1}{2}$$

The endpoints of this line segment are at (-2, -7) and (2, 3). What is the slope of this line?

2$\frac{1}{2}$

The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, -7) and (2, 3) so the slope becomes:

m = $ \frac{\Delta y}{\Delta x} $ = $ \frac{(3.0) - (-7.0)}{(2) - (-2)} $ = $ \frac{10}{4} $
m = 2$\frac{1}{2}$

General Science

Earth's history is divided into time periods, which of these is the longest time period?

eon

The Earth is approximately 4.6 billion years old and its history is divided into time periods based on the events that took place and the forms of life that were dominant during those periods. The largest graduation of time is the eon and each eon is subdivided into eras, eras into periods, periods into epochs, and epochs into ages.