The table above shows the coordinates of three points on a line in the xy-plane, where k and n are constants. If the slope of the line is 2, what is the value of ?
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The line graph shows the estimated number of chipmunks in a state park on April of each year from to .
- The line graph:
- Begins at 1989, 38 chipmunks
- Remains level to 1990, 38 chipmunks
- Rises sharply to 1991, 98 chipmunks
- Rises gradually to 1992, 101 chipmunks
- Falls sharply to 1993, 53 chipmunks
- Rises sharply to 1994, 158 chipmunks
- Falls sharply to 1995, 48 chipmunks
- Rises sharply to 1996, 98 chipmunks
- Falls gradually to 1997, 93 chipmunks
- Falls sharply to 1998, 53 chipmunks
- Rises sharply to 1999, 113 chipmunks
Based on the line graph, in which year was the estimated number of chipmunks in the state park the greatest?
Which of the following is closest to the difference between the percentage of adults aged 18–50 years who responded “warm” and the percentage of adults aged 51 years or greater who responded “warm”?
A solution to the given system of equations is . Which of the following is a possible value of xy ?
Lani spent 15% of her 8-hour workday in meetings. How many minutes of her workday did she spend in meetings?
- The line slants sharply up from left to right.
- The line passes through the following points:
- (0 comma negative 5)
- (1 comma negative 3)
- (2 comma negative 1)
The graph shows the linear relationship between and . Which table gives three values of and their corresponding values of for this relationship?
According to Moore’s law, the number of transistors included on microprocessors doubles every 2 years. In 1985, a microprocessor was introduced that had 275,000 transistors. Based on this information, in which of the following years does Moore’s law estimate the number of transistors to reach 1.1 million?
In the xy-plane, the graph of the equation above is a circle. Point P is on the circle and has coordinates . If
is a diameter of the circle, what are the coordinates of point Q ?
If a is a solution of the equation above and , what is the value of a ?
A shipping service restricts the dimensions of the boxes it will ship for a certain type of service. The restriction states that for boxes shaped like rectangular prisms, the sum of the perimeter of the base of the box and the height of the box cannot exceed 130 inches. The perimeter of the base is determined using the width and length of the box. If a box has a height of 60 inches and its length is 2.5 times the width, which inequality shows the allowable width x, in inches, of the box?
The table above shows some pairs of x values and y values. Which of the following equations could represent the relationship between x and y ?
A city is planning to build a rock retaining wall, a monument, and a garden in a park. The table above shows four rock types that will be considered for use in the project. Also shown for each rock type is its weight per volume, in pounds per cubic foot (lb/ft3), and the cost per pound, in dollars. Only basalt, granite, and limestone will be used in the garden. The rocks in the garden will have a total weight of 1,000 pounds. If 330 pounds of granite is used, which of the following equations could show the relationship between the amounts, x and y, in ft3, for each of the other rock types used?
If is the solution to the given system of equations, what is the value of y ?
The table above shows the land area, in square kilometers, of the five smallest countries of the world in 2016. Based on the table, what is the mean land area of the 5 smallest countries in 2016, to the nearest square kilometer?
In the system of equations above, a is a constant. If the system of equations has no solution, what is the value of a ?
The table above gives the number of United States presidents from 1789 to 2015 whose age at the time they first took office is within the interval listed. Of those presidents who were at least 50 years old when they first took office, what fraction were at least 60 years old?
The function f is defined as shown. Which of the following graphs in the xy-plane could be the graph of ?
To the nearest tenth of a percent, what percent of states with a state-level sales tax do not have a state-level income tax?
On January 1, 2015, a city’s minimum hourly wage was $9.25. It will increase by $0.50 on the first day of the year for the next 5 years. Which of the following functions best models the minimum hourly wage, in dollars, x years after January 1, 2015, where ?
In the xy-plane, the graph of intersects the graph of
at the points
and
. What is the value of a ?
The function above models the height h, in feet, of an object above ground t seconds after being launched straight up in the air. What does the number 72 represent in the function?
The function N defined above can be used to model the number of species of brachiopods at various ocean depths d, where d is in hundreds of meters. Which of the following does the model predict?
Which choice best describes data in the graph that support the researchers’ conclusion?
Which choice most effectively uses the data in the graph to complete the example?
In a city, the property tax T, in dollars, is calculated using the formula above, where P is the value of the property, in dollars. Which of the following expresses the value of the property in terms of the property tax?