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300难题 The figure above represents a network of one-way streets. The arrows indicate the direction of traffic flow, and the numbers indicate the amount of traffic flow into or out of each of the four intersections during a certain hour. During that hour: what was the amount of traffic flow along the street from R to S if the total amount of traffic flow into P was 1200 ? (Assume that none of the traffic originates or terminates in the network.)
OG12 The charge for a telephone call between City R and City S is $0.42 for each of the first 3 minutes and $0.18 for each additional minute. A certain call between these two cities lasted for x minutes, where x is an integer. How many minutes long was the call?(1)The charge for the first 3 minutes of the call was $0.36 less than the charge for the remainder of the call.(2)The total charge for the call was $2.88.
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The table above shows the results of a survey of 100 customers of a particular company, each of whom gave a "Positive," "Negative" or "Neutral" rating of the company's product and its customer service. What was the number of customers who rated both the company's product and its service negatively?

  1. Forty customers did not give any "Negative" ratings at all, whether for product or service
  2. Thirty customers rated both product and service "Positive"
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Cattle rancher: The new government regulations requiring the testing of all cattle crossing state borders would cost cattle ranchers $1 billion annually. These regulations would damage the nation's economy.

Health regulator: Some of the $1 billion spent or lost by ranchers will be revenue for other businesses. Profits will be gained as well as lost.

The health regulator responds to the cattle rancher by

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Each of the letters in the table above represents one of the numbers 3, 5, or 11, and each of these numbers occurs no more than once within any row or column, with the exception of 5, which may occur up to two times. What is the value of d2?

  1. a1c2=121
  2. c1d1a2e=375
In Forces of Production, David Noble examines the transformation of the machine-tool industry as the industry moved from reliance on skilled artisans to automation. Noble writes from a Marxist perspective, and his central argument is that management, in its decisions to automate, conspired against labor: the power that the skilled machinists wielded in the industry was intolerable to management. Noble fails to substantiate this claim, although his argument is impressive when he applies the Marxist concept of "de-skilling" —— the use of technology to replace skilled labor —— to the automation of the machine-tool industry. In automating, the industry moved to computer-based, digitalized "numerical control" (N/C) technology, rather than to artisan generated "record-playback" (R/P) technology.Although both systems reduced reliance on skilled labor, Noble clearly prefers R/P, with its inherent acknowledgment of workers` skills: unlike N/C, its programs were produced not by engineers at their computers, but by skilled machinists, who recorded their own movements to "teach" machines to duplicate those movements. However, Noble's only evidence of conspiracy is that, although the two approaches were roughly equal in technical merit, management chose N/C. From this he concludes that automation is undertaken not because efficiency demands it or scientific advances allow it. but because it is a tool in the ceaseless war of capitalists against labor.
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On the number line above, is the product of q and t positive?

(1) The product of q and <font color='#FE8080'>r</font> is negative.

(2) The product of s and t is positive.

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In the rectangular coordinate system above, point Q (not shown) is the same distance from the line y = x as point P, and it is the same distance from the y axis as point P is from the x axis. Point R (not shown) lies at both the same distance from the x axis and the same distance from the y axis as point Q, but is in a different location. If the coordinates of point P are (4, 2), which of the following are possible coordinates of point R?

A computer generates paths along the vertices of the parallelogram above. It moves in such a way that its path always consists of a side, a diagonal, and then a side and it never ends at the same vertex it begins with, i.e., PQ → QOS → SR. For each vertex on a path, the computer generates a random number. The sum of the numbers on one diagonal is equal to the sum on the other. For a given path, what is the number generated for vertex P?1. The sum of Q and R is always 15 and S carries number 4.2. The intersection of the diagonals, O,carries number 2.
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In the figure above, if x=40, then y−z=

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

(1)

(2) The height of the container is 7 inches.

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According to the chart above, which of the following is closest to the median total attendees per month at this Waterpark from March through November, inclusive?

The PQ&R art gallery seeks high-quality works of art with elements that match a certain theme. Though each submitted work of art will be considered on its own merit, the submissions will be initially divided into groups based on how the description of the work satisfies the criteria in the gallery's Call for Art. Group A will consist of the works with a description that satisfies all of the criteria. Group B will consist of artwork whose description satisfies some but not all of the criteria. Group C consists of artwork with a description that satisfies none of the criteria.Call for Art: with the proliferation of communication technology, the human identity has retreated to the face – especially the eyes; technology now approximates an individual's humanity. Our next exhibit will be about humanity, the human face, and technology. We seek works of art with subject matter that reflect these three elements of this new supposed reality.The following are descriptions of works of art submitted for the exhibit. Select the work that will be placed in Group A and select the work that will be placed in Group C. make only two selections, one in each column.
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In the figure above, points A, B, C, D, E, and F lie on a line perpendicular to the square's sides. If point A lies on the square, point B lies on the circle, point C bisects AF, point D is the center of the circle, point E bisects DF, and point F lies on the circle and on the square, what is the difference in area between the square and the circle?

  1. AB=6 and BC=4.
  2. AB=6 and EF=3.5.
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In the rectangular coordinate system above, A is at the origin, B has coordinates (1, 0), and line L is a line parallel to AB that passes through (0, 5). If a point C along line L is chosen to form a triangle with the segment AB, what is the area of triangle ABC?

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In the figure above, if PQ=x, is the area of triangle PQR equal to the area of PST?

  1. PT=2(PR)
  2. The triangle PST is isosceles.
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In the figure above, find the value of c - b.

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The figure below shows a square inscribed in a circle with a radius of . What is the area of the shaded region?

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In the figure above, line segment  has length , and rectangle  is a square. If the area of rectangular region  is , what is the area of rectangular region ?

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In the triangle above, does ?

(1)

(2)

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