A bowl^- contains 20 ounces of water. When the^- bowl is uncovered, the amount of water in the bowl decreases by 1 ounce every 4 days. If 9 ounces of water remain in this bowl, for how many days has it been uncovered?
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9(4−3x) +2 = 8(4−3x) +18 If, what is the value 4−3x of? −16
A certain township consists of a 5-hectare industrial park and a 24-hectare neighborhood. The total number of trees in the township is 4,529. The 5x+24y = 4,529 equation represents this situation. Which of the following is the best interpretation of x in this context?
12 a^11 Which expression is equivalent to, a > 0 where? 12 a^132
The dot plots represent the distributions of values in data sets A and B. Data Set A Data Set B • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • I I I I I I I I I I I I I I 10 11 12 13 14 15 16 10 11 12 13 14 15 16 Value Value Which of the following statements must be true? I. The median of data set A is equal to the median of data set B. II. The standard deviation of data set A is equal to the standard deviation of data set B.
Average number of Type of store employees Warehouse store 365 Department store 213 Supermarket 130 For a certain region, the table shows the average number of store employees in 2016 by type of store. Based on the table, how much greater was the average number of store employees in warehouse stores than in supermarkets?
A circle has center O, and points R and S lie on the ORS ∠ROS 88° circle. In triangle, the measure of is. ∠RSO What is the measure of, in degrees? (Disregard the degree symbol when entering your answer.)
- - - - - - - - -_._The ~ $11.70 The regular price of a shirt at a store is 80% sale price of the shirt is less than the regular price, and the sale price is 30% greater than the store’s cost for the shirt. What was the store’s cost, in dollars, for the shirt? (Disregard the $ sign when entering your answer. For example, if your answer is $4.97, enter 4.97)
A cube has an edge length of 68 inches. A solid sphere with a radius of 34 inches is inside the cube, such that the sphere touches the center of each face of the cube. To the nearest cubic inch, what is the volume of the space in the cube not taken up by the sphere?
y = 6x+18 One of the equations in a system of two linear equations is given. The system has no solution. Which equation could be the second equation in the system? −6x+y = 18
PQR LMN Triangles and are graphed in the PQR xy-plane. Triangle has vertices P, Q, and R at (4,5) (4,7) (6,5) LMN,, and, respectively. Triangle (4,5) (4,7+k) has vertices L, M, and N at,, (6 +k,5) and, respectively, where k is a positive ∠Q t° constant. If the measure of is, what is the ∠N measure of? (90−(t−k))°
2x+3y = 7 10x+15y = 35 For each real number r, which of the following points lies on the graph of each equation in the xy-plane for the given system? r
(x^2)/(x^2 −c^2) = (c^2)/(x^2 −c^2) +39 In the given equation, c is a positive constant. Which of the following is one of the solutions to the given equation? −c
The quadratic function g models the depth, in meters, below the surface of the water of a seal t minutes after the seal entered the water during a dive. The function estimates that the seal reached its maximum depth of 302.4 meters 6 minutes after it entered the water and then reached the surface of the water 12 minutes after it entered the water. Based on the function, what was the estimated depth, to the nearest meter, of the seal 10 minutes after it entered the water? OP
- m n t 33 Note: Figure not drawn to scale. In the figure, line m is parallel to line n, and line t intersects both lines. What is the value of x?
Sean rents a tent^-^-^-^- at a cost of $11 per day^-^~ plus a onetime insurance fee of $10. Which equation represents the total cost c, in dollars, to rent the tent with insurance for d days? c = 11(d+10)
- a b Note: Figure not drawn to scale. a = 4 b = 5 For the right triangle shown, and. Which expression represents the value of c? 4 +5
g(x) = 6x The function g is defined^-^-^-^-^- by. For what g(x) = 54 value of x is?
f(x) = x−2 The function f is defined by (- 1)/10. What = is the y-intercept of the graph of y f(x) in the xy-plane? (−2,0)
- - -_is_creating_a_video_with - - - -_a_length_of - - - A producer 70 minutes. The video will consist of segments that are 1 minute long and segments that are 3 minutes long. Which equation represents this situation, where x represents the number of 1-minute segments and y represents the number of 3-minute segments? 4xy = 70
., The following text is adapted from Ida B. Wells’s 1970 autobiography A Crusade for Justice. Mr. Watts is a reference to George Frederic Watts, an English painter. [Manchester’s] art galleries are so arranged that the name of every picture is plainly seen and one has no need of a catalogue to pick out the name and the artist. This is a convenience to the general public, which other art galleries, which shall be nameless, might copy to advantage. To her treasure of art Manchester has added Mr. Watts’ latest picture, the Good Samaritan. ©1970 by the University of Chicago Press As used in the text, what does the word “arranged” most nearly mean?
Utah is home to Pando, a colony of about 47,000 quaking aspen trees that all share a single root system. Pando is one of the largest single organisms by mass on Earth, but ecologists are worried that its growth is declining in part because of grazing by animals. The ecologists say that strong fences could prevent deer from eating young trees and help Pando start thriving again. According to the text, why are ecologists worried about Pando?
Recordings of Female Bottlenose Dolphins with Their Calves Dolphin ID Recording year FB07 2012 FB25 1989 FB43 1992 FB79 2018 In a study of bottlenose dolphins, biologist Laela S. Sayigh and a team of researchers analyzed recordings of female bottlenose dolphins interacting with their calves. According to the table, in which year was the dolphin with the ID FB43 recorded with her calf?
Maximum Height of Maple Trees When Fully Grown Maximum Native to Tree type height (feet) North America Sugar maple 75 yes Silver maple 70 yes Red maple 60 yes Japanese maple 25 no Norway maple 50 no For a school project, a forestry student needs to recommend a maple tree that is native to North America and won’t grow more than 60 feet in height. Based on the characteristics of five common maple trees, she has decided to select a _______ Which choice most effectively uses data from the table to complete the text?
ALSOL is a microcredit program in Mexico that makes small loans to female entrepreneurs who lack the collateral and credit history to secure financing from conventional banks. Borrowers use their business proceeds to repay loans in equal weekly installments and incur no penalty for missed payments other than lack of access to larger loans. Economists Gustavo Barboza and Sandra Trejos analyzed ALSOL data and found that rural borrowers, who mostly make and sell handicrafts, miss payments more often than urban borrowers do, partly because they sell their goods less frequently than they could. Barboza and Trejos claim that this behavior reflects strategic decisions that enable rural women to increase their profits per unit sold. Which finding, if true, would most directly support Barboza and Trejos’s claim?