Write a general term an for the sequence. Assume that n begins with 1.-2, 5, 12, 19, 26, . . .
A. an = 9n - 9
B. an = 7n - 9
C. an = 7n - 10
D. an = 7n + 9
Answer: B
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Solve the given differential equation.e3x - 3ydx - dy = 0
A. y = ln (e3x + C)
B. y = 3e3x + C
C. y = 3ln (e3x + C)
D. y = ln (e3x + C)
Determine whether the graph of the equation is symmetric with respect to the x-axis, the y-axis, and/or the origin.y = x2 + 13x + 42
A. y-axis B. origin C. x-axis D. x-axis, y-axis, origin E. none
Solve.10,500 college students were asked to name their favorite sport. Of this group, said basketball,
said soccer,
said baseball,
said they had no favorite sport, and the remainder said volleyball. How many named each sport?
A. Basketball: 3,500 Soccer: 2,100 Baseball: 1,800 Volleyball: 2,575 None: 525 B. Basketball: 3,500 Soccer: 2,100 Baseball: 1,750 Volleyball: 2,635 None: 515 C. Basketball: 3,500 Soccer: 2,100 Baseball: 1,750 Volleyball: 2,625 None: 525 D. Basketball: 3,500 Soccer: 2,050 Baseball: 1,750 Volleyball: 2,675 None: 525
Solve the problem.The dropout rates of students at State University (rates per 1000 students) are shown in the table for various years. Let r be the dropout rate (number of dropouts per 1000 students) at t years since 2000.a. What is the r-intercept of the model? What does it mean in this situation?b. Use the linear model to predict when the dropout rate will be 8 per 1000 studentsc. What is the t-intercept of the model? What does it mean in this situation?d. Predict the dropout rate in 2012. Explain.
What will be an ideal response?