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190215 The weight W of the object on the earth and the distance r between the object and the center of the earth satisfy the equation W=K/r^2. When r = 4000, w = 200. When r = 5000, what is w equal to?
PREP07 Test 1 An investment of d dollars at k percent simple annual interest yields $600 interest over a 2-year period. In terms of d, what dollar amount invested at the same rate will yield $2,400 interest over a 3-year period?
The total charge to rent a car for one day from Company J consists of a fixed charge of $15.00 plus a charge of $0.20 per mile driven. The total charge to rent a car for one day from Company K consists of a fixed charge of $20.00 plus a charge of $0.10 per mile driven. Is the total charge to rent a car from Company J for one day and drive it x miles less than $25.00 ?(1)The total charge to rent a car from Company K for one day and drive it x miles is less than $25.00.(2)x < 50
OG21 OG2022 In the xy-coordinate plane, what are the x-coordinates of the four vertices of square JKMN? (1) J and M are on the x-axis, and l < k and N are on the y-axis. (2) The center of the square is at the origin.
A certain pilot flew 400 miles to City K at an average speed of 350 miles per hour with the wind and made the trip back at an average speed of 250 miles per hour against the wind. Which of the following is closest to the pilot's average speed, in miles per hour, for the round-trip?
300难题 An “Armstrong numbe” is an n-digit number that is equal to the sum of the nth powers of its individual digits. For example, 153 is an Armstrong number because it has 3 digits and $$1^{3}+ 5^{3} + 3^{3}$$= 153. What is the digit k in the Armstrong number 1,6k 4 ?
OG19 OG20 OG2022  Last semester, Professor K taught two classes, A and B. Each student in class A handed in 7 assignments, and each student in class B handed in 5 assignments. How many students were in class A (1)The students in both classes combined handed in a total of 85 assignments. (2)There were 10 students in class B
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?
Company K has an annual budget for a certain project, and $$\frac{1}{5}$$ of this budget was spent during the first quarter of the year. If $$\frac{1}{8}$$of the remainder of the budget was spent during the second quarter, what fraction of the budget was left at the end of the second quarter?
Working alone at its constant rate, machine K took 3 hours to produce $$\frac{1}{4}$$ of the units produced last Friday. Then machine M started working and the two machines, working simultaneously at their respective constant rates, took 6 hours to produce the rest of the units produced last Friday. How many hours would it have taken machine M, working alone at its constant rate, to produce all of the units produced last Friday?
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If the tick marks shown on the line above are equally spaced, what is the value of m?

  1. k=1311
  2. (k+m)3+133=1
OG18-数学分册 For a light that has an intensity of 60 candles at its source, the intensity in candles, S, of the light at a point d feet from the source is given by the formula $$ S = \frac{60K}{d^{2}}$$, where k is a constant. If the intensity of the light is 30 candles at a distance of 2 feet from the source, what is the intensity of the light at a distance of 20 feet from the source?
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In the diagram above, how many different ways are there to proceed from point  to point  without backtracking?
Development planners determined the number of new housing units needed in a certain area by using the formula H = kJ, where H is the number of new housing units needed in the area, J is the number of new jobs to be created in the area, and k is a constant. How many new housing units did the planners determine were needed?(1) The number of new jobs to be created was 60,000.(2) According to the formula used by the planners, if 37,500 jobs were to be created, then 7,500 new housing units would be needed.
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In the -plane shown, the shaded region consists of all points that lie below the graph of and above the x-axis. Does the point (not shown) lie in the shaded region if ?

(1)

(2)

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In the figure shown, angles , , and make up three of the interior angles of quadrilateral . Is ?

(1) Lines and are parallel.

(2)

OG2022 以下文段中，请判断各个句子分别是前提、中间结论还是主结论。 前提选P，中间结论选IC，主结论选MC Obviously, fewer sessions of gym class lead to reduced fitness. ___ Last year, when students participated in gym class on a daily basis, 85% of the school's students passed the exam. ___This year, students had gym class twice weekly, and only 70% of them passed the test. ___ The cutback in physical education is seemly the primary contributing factor to K High School's increasing failure rate on the year-end physical fitness examination. ___
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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?
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A stairway is formed by stacking even blocks next to and on top of each other. If the stairway depicted above is 5 blocks in length and 4 blocks in height, with a thin step at the beginning that does not require a block, and the stairway is only 1 block in width, how many blocks will be required to build such a stairway 20 blocks in length?
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Is the triangle above a right triangle?

(1) In an -plane, has coordinates and has coordinates .

(2) In an -plane, has coordinates and has coordinates