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If the perimeter of the isosceles right triangle shown is 1 + √2 , what is the area of the triangular region?
The sequence a1, a2, . . . , an, . . . is defined by a1 = 1, a2 = 1, and an = a(n-1)+a(n-2) for all integers n ≥ 3.Which of the following values are terms of the sequence? Indicate all such values.
What is the remainder when 3^35 is divided by 5?
The average (arithmetic mean) of the weights of a father and mother is twice the average of the weights of their 4 children. If the average weight of the 6 family members is 128 pounds, what is the average weight,in pounds, of the 4 children?
The dollar amount of losses due to financial fraud was what percent greater, to the nearest whole percent,than the dollar amount of losses due to virus attack?
Which of the following is closest to the amount by which the average (arithmetic mean) dollar amount of losses due to the actions cited exceeds the median dollar amount of the losses?
For the seven actions listed in the table, what is the range of the numbers of companies that cited the action?
In a group of 10 people, the median height is 70 inches, the average (arithmetic mean) height is 70.5 inches, and the range of the heights is 12 inches. If an additional person who is 74 inches tall joins the group, which of the three statistics must change?
P=23^25-23. What is the units digit of P?
The weekly sales commission at Company X is 2 percent of the first $2,000 of weekly sales plus 15 percent of the weekly sales in excess of the first $2,000. The weekly sales commission at Company Y is 5 percent of the first $2,000 of weekly sales plus 10 percent of the weekly sales in excess of the first $2,000. In a given week, what is the amount of weekly sales at Company Y that would earn the same weekly sales commission as $5,000 in weekly sales at Company X?
The arithmetic mean of the five numbers x+6, 2x-3, 2x+2, 3x-5, and 4x-4 is 4. What is the range of the five numbers?
The operation ⊗ is defined by x ⊗ y =(x^2)/y +x/y for all numbers x and y, where y ≠0. What is the value of (9 ⊗ ( 9)) + (( -9) ⊗ 9)?
The table shows the linear relationship between the stride rate of a runner, in numbers of strides per second, and the speed index. This linear relationship holds for stride rates per second to 5.00 strides per second. According to this linear relationship, what is the speed index when the runner with a stride rate of 3.80 strides per second?
4 < x < y < 8 The ratio of x to y is 4 to 7.
In the figure, line segments RM, SM, and TM bisect the angles of △RST.
The area of region PQR is 15.
n is an integer greater than or equal to 5.
In 1998 the yearly expenses to run a certain small business were x dollars. In 1999 the yearly expenses to run the business increased by 10 percent of the 1998 yearly expenses. In 2000 the yearly expenses decreased by 5 percent of the 1999 yearly expenses.
The sum of n integers, n ≠0, is R.