Believe it or not, my lunch only gave me a bit more gas than I expected it would. *pinches bridge of nose* Your first day in, you manage to gas out your homeroom class, several tables in the cafeteria and even most of the gym? Is there something wrong with your stomach or something ms. Marbles are randomly selected one at a time and not returned to the container.Eight Marbles: Shifting Tide"Ugh, so let me get this straight. Seven blue marbles and six red marbles are held in a single container. If none of the items are found in both columns, then how many different combinations of items could the family choose?Ĥ9. A family plans to share 5 items from column A and 5 items from column B. The menu of a certain restaurant lists 10 items in column A and 20 items in column B. 9,948.377 square centimeters per secondĤ8. 1,570.796 square centimeters per secondĮ. If he increases the volume of the balloon from 4,188.79 cubic centimeters to 14,137.167 cubic centimeters in 12 seconds, then what is the average rate at which he has increased the balloon's surface area?ĭ. Carlos is filling a spherical balloon with water. If f( x, y) = for all x, y, f( a, b) = 15, f( b, c) = 20, and f( a, c) = 10, which of the following could be the product of a, b, and c ?Ĥ6. The system of equations given by 2 x + 3 y = 7 10 x + cy = 3 has solutions for all values of c EXCEPTĤ4. If f( x) =, then for which of the following values of x does f( x) = 0.33 ?Ĥ3. If z = -( v + w), then z has componentsĤ2. Vectors v and w have components (-3, 4) and (12, 5), respectively. If the graph of y = f( x) is shown in Figure 4, then which of the following could be true?Ĥ1. If the circle has a radius of 5, and if the measure of ∠ AOB is 70°, what is the length of chord AB ? Points A and B lie on the edge of a circle with center O. Which of the following is the graph of a function that is both odd and even?ģ9. A function g( x) is odd if g(- x) = - g( x) for all x and even if g( x) = g(- x) for all x. If two coins are removed at random from a purse containing three nickels and eight dimes, what is the probability that both coins will be dimes?ģ8.
The curve shown in Figure 3 could represent a portion of the graph of which of the following functions?ģ7. If the graph of the equation y = 2 x 2 - 6 x + c is tangent to the x-axis, then the value of c is If the cone is cut into two pieces by a plane that passes through the midpoint of the height and is parallel to the base, then the volume of the larger of the two resulting solids isģ4. A right circular cone has height h and radius r. A cube is inscribed in a sphere of radius 6. For which of the following functions f is f -1 a function?ģ0. The polar equation r sin θ = 1 defines the graph ofĢ8. If the 20th term of an arithmetic sequence is 20 and the 50th term is 100, what is the first term of the sequence?Ģ7. If f( x) = x 2 + 5 x + 6, for what value of x will f(x) have its minimum value?Ģ6. Which of the following is equal to the positive value of sec(cos -1(0.3527)) ?Ģ5. If f( x) =, where is the greatest integer less than or equal to x, which of the following is a graph of f - 1 ?Ģ4. What is the length of the major axis of the ellipse given by the equation = 1 ?Ģ3. Which of the following is the value of L ?Ģ2. When 4 x 2 + 6 x + L is divided by x + 1, the remainder is 2. Which of the following is a zero of f( x) = x 2 + 6 x - 12 ?Ģ1. What is the length of the hypotenuse of - ABC ?ġ6. In right triangle ABC, ∠ B measures 90°, ∠ C measures 27°, and AB = 9. What is the area of a rectangle that contains all points (2 x, y - 1) ?ġ5. In Figure 2, rectangle J contains all points ( x, y). If the ratio of sec x to csc x is 1 : 4, then the ratio of tan x to cot x is If for all real numbers x, a function f( x) is defined by f( x) =, then f(15) - f(14) =ġ3. tan(- θ) = -tan θ, where tan θ is definedġ1.
Eight marbles 2x sprites and mod#
If x mod y is the remainder when x is divided by y, then (61 mod 7) - (5 mod 5) = All of the following can be formed by the intersection of a cube and a plane EXCEPTĨ. Which of the following is the complete solution set of the system:ħ. If f( x) =| x| + 10, for which of the following values of x does f( x) = f(- x) ?ĥ. If r - s > r + s, then which of the following must be true?Ģ.
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