The formula above expresses the square of the speed v of a wave moving along a string in terms of tension T, mass m, and length L of the string. What is T in terms of m, v, and L ?
556 items match
Of the following equations, which best models the data in the scatterplot?
- Moving from left to right, the points have the following coordinates:
- (negative 3 comma 4)
- (4 comma negative 3)
- (5 comma 3)
What is the area, in square units, of the triangle formed by connecting the three points shown?
In the solution to the system of equations above, what is the value of y ?
An elementary school teacher is ordering x workbooks and y sets of flash cards for a math class. The teacher must order at least 20 items, but the total cost of the order must not be over $80. If the workbooks cost $3 each and the flash cards cost $4 per set, which of the following systems of inequalities models this situation?
Which of the following could be the equation for a line of best fit for the data shown in the scatterplot above?
There were approximately 113,000 occupational therapy jobs in the United States in 2012. The Bureau of Labor Statistics has projected that this number will increase by 29% from 2012 to 2022. Of the following, which is closest to the number of occupational therapy jobs the bureau has projected for the United States in 2022?
- The data for the 10 categories are as follows:
- Group 1: 30
- Group 2: 62
- Group 3: 36
- Group 4: 50
- Group 5: 46
- Group 6: 40
- Group 7: 54
- Group 8: 60
- Group 9: 16
- Group 10: 20
The bar graph shows the distribution of books collected by different groups for a book drive. How many books were collected by group ?
If (x, y) is a solution of the system of equations above and x > 0, what is the value of xy ?
The scatterplot shows the temperature , in , recorded by a meteorologist at various times , in days since June .
- The scatterplot has 7 data points.
- The data points are in a linear pattern trending approximately horizontally.
- The data points have the following coordinates:
- (1 comma 69)
- (2 comma 60)
- (3 comma 73)
- (4 comma 67)
- (5 comma 64)
- (6 comma 62)
- (7 comma 65)
During which of the following time periods did the greatest increase in recorded temperature take place?
If , which of the following is equivalent to the expression
?
Makayla is planning an event in a 5,400-square-foot room. If there should be at least 8 square feet per person, what is the maximum number of people that could attend this event?
- The data for the 5 categories are as follows:
- 1: More than halfway above 25 students
- 2: Less than halfway above 30 students
- 3: More than halfway above 35 students
- 4: About halfway above 40 students
- 5: About halfway above 45 students
A group of students voted on five after-school activities. The bar graph shows the number of students who voted for each of the five activities. How many students chose activity ?
A survey was given to residents of all 50 states asking if they had earned a bachelor’s degree or higher. The results from 7 of the states are given in the table above. The median percent of residents who earned a bachelor’s degree or higher for all 50 states was 26.95%. What is the difference between the median percent of residents who earned a bachelor’s degree or higher for these 7 states and the median for all 50 states?
Which of the following is equivalent to the expression above?
In a right triangle, the tangent of one of the two acute angles is . What is the tangent of the other acute angle?
According to the model, which of the following is the best estimate for the stopping distance, in feet, if the vehicle was traveling 55 miles per hour?
- The scatterplot has 10 data points.
- The data points are in a linear pattern trending down from left to right.
- Select data points have the following approximate coordinates:
- (0.8 comma 8.9)
- (2.8 comma 5.1)
- (4.1 comma 2.9)
Which of the following equations is the most appropriate linear model for the data shown in the scatterplot?
If , what is the value of
?
In the right triangle shown above, what is the length of ?
The total distance d, in meters, traveled by an object moving in a straight line can be modeled by a quadratic function that is defined in terms of t, where t is the time in seconds. At a time of 10.0 seconds, the total distance traveled by the object is 50.0 meters, and at a time of 20.0 seconds, the total distance traveled by the object is 200.0 meters. If the object was at a distance of 0 meters when , then what is the total distance traveled, in meters, by the object after 30.0 seconds?
Which of the following is equivalent to ?
How many solutions are there to the system of equations above?
In State X, Mr. Camp’s eighth-grade class consisting of 26 students was surveyed and 34.6 percent of the students reported that they had at least two siblings. The average eighth‑grade class size in the state is 26. If the students in Mr. Camp’s class are representative of students in the state’s eighth-grade classes and there are 1,800 eighth-grade classes in the state, which of the following best estimates the number of eighth‑grade students in the state who have fewer than two siblings?
- Counterclockwise from top right, the lines are labeled s, r, q, and t.
- Line s intersects line r above line q.
- Line s and line r each intersect line q and line t.
- At the intersection of line s and line r, 1 angle is labeled counterclockwise from top as follows:
- Top: a°
- At the intersection of line s and line q, 1 angle is labeled counterclockwise from top-left as follows:
- Top left: b°
- At the intersection of line r and line t:
- The line segment divides the bottom-left angle into two equal angles, each labeled w°.
- A note indicates the figure is not drawn to scale.
In the figure, parallel lines and are intersected by lines and . If and , what is the value of ?