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A box contains 12 transistors, 3 of which are defective. If 3 are selected at random, find the probability? All are Defective = None are defective=

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At t= 0, a particle starts from rest at x= 0, y = 0, and moves in the xy plane with an acceleration a⃗ = (4.0i^ + 3.0j^)m/s2. Assume t is in seconds. Determine the speed of the particle as a function of time t.

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Francine and Cheryl received equal scores on a test made up of multiple choice questions and an essay. Francine got 34 multiple choice questions correct and received 14 points for her essay. Cheryl got 30 multiple choice questions correct and received 22 points for her essay. How many points was each multiple choice question worth?

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Solve for x: one over eight (8x + 15) = 24

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What is the quotient when 2×3 + x + 3 is divided by x + 1? a. 2×2 + 2x + 3 b. 2×2 − 2x + 3 c. + 2x + 3 − 6 over the quantity of x plus 1 d. 2×2 − 2x + 3 + 6 over the quantity of x plus 1

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To get on the top players’ list, Don needs to have a minimum average score of 225 after playing four games. His scores on his first three games were 192, 214, and 250. What is the minimum score Don needs to earn on his fourth game?

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A wheel of diameter 50.0 cm starts from rest and rotates with a constant angular acceleration of 2.00 rad/s^2. At the instant the wheel has computed its second revolution, compute the radial acceleration of a point on the rim in two ways. (1)Using the relationship . arad=w2r (2)from the relationship arad=v2/r

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Lisa is using the equation x2 + (x – 5)2 = 157 to find two numbers that differ by 5 and that have squares that sum to 157. When Lisa solves the problem using the zero product property, what do the two solutions represent? A)two numbers that differ by 5 and squares that have a sum of 157 B)one possible number is 5 less than the other number C)one possible number that can be used to find numbers that differ by 5 and squares that have a sum of 157 D)two possible numbers that can be used to find numbers that differ by 5 and squares that have a sum of 157

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M∠RPS = 90° Conclusion: m∠UPW = 90°. Which of the statements supports the conclusion from the diagram and the GIVEN information? a. Vertical angles are equal in measure. b. Perpendicular lines meet to form right angles. c. Adjacent angles whose exterior sides are perpendicular rays are complementary. d. If two angles are complementary to the same angle then they are equal in measure.

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The first steps in writing f(x) = 4x^2 + 48x + 10 in vertex form are shown. f(x) = 4(x2 + 12x) + 10 What is the function written in vertex form?

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For the function f(x) = –2(x + 3)2 − 1, identify the vertex, domain, and range.

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The length of a rectangle is three times its width. If the perimeter is at most 112 centimeters, what is the greatest possible value for the width? Write an inequality to model the problem. A. 2w + 2 • (3w) ≥112 B. 2w + 2 • (3w) 112 D. 2w + 2 • (3w) ≤112 Question 2.2. The length of a rectangle is five times its width. If the perimeter is at most 96 centimeters, what is the greatest possible value for the width? A. 40 cm B. 19.2 cm C. 16 cm D. 8 cm

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A cylindrical tank holds 20,000 gallons of water, which can be drained from the bottom of the tank in 20 minutes. The function gives the volume V of water (in gallons) in the tank at time t in minutes, where time t = 0 corresponds to the instant the tank starts to drain. At time t = 3 minutes, at what rate is the volume of water in the tank changing? A. –2200 gallons/minute B. 1700 gallons/minute C. 2200 gallons/minute D. –1800 gallons/minute E. 1800 gallons/minute

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Which one or ones of the following statements is/are true? If the line x = 1 is a vertical asymptote of y = f(x), then f is not defined at x = 1. If f(2) > 0 and f(4)

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Which number is a solution to the inequality? 6 > z(10 – z) a. 0 b. 1 c. 2 d. 3

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The change in water level of a lake is modeled by a polynomial function, W(x). Describe how to find the x-intercepts of W(x) and how to construct a rough graph of W(x) so that the Parks Department can predict when there will be no change in the water level. You may create a sample polynomial to be used in your explanations.

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Assume f(x)=2x+8 and g(x)=5. What is the value of (f+g)(3). Assume f(x)= -2x+8 and g(x)=5x. What is the value of (f o g)(3).

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Sal’s Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2 and the profit on every wrap is $3. Sal made a profit of $1,470 from lunch specials last month. The equation 2x + 3y = 1,470 represents Sal’s profits last month, where x is the number of sandwich lunch specials sold and y is the number of wrap lunch specials sold. Change the equation to slope-intercept form. Identify the slope and y-intercept of the equation. Be sure to show all your work. Describe how you would graph this line using the slope-intercept method.

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Nathan and Steven stacked boxes on a shelf. Nathan lifted 13 boxes and Steven lifted 15 boxes. The boxes that Nathan lifted each weighed 12 lb more than the boxes Steven lifted. Which expression represents the total number of pounds Nathan lifted? Let s represent the weight of the boxes that Steven lifted. A.13(s +12) B.s + 12 C.15(s + 12) D.12(s + 13)

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In triangle XYZ, m∠Z > m∠X + m∠Y. Which must be true about △XYZ? a. m∠X + m∠Z 90° c. ∠X and∠Y are complementary d. m∠X + m∠Y

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1. What is the simplified form of the following expression? 7m^2+6.5n-4n+2.5m^2-n (1 point) A. 9.5m^2+1.5n B. 4.5m^2+1.5n C.1.5m^2-4.2n D.9.5m^2-1.5n

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Rewrite f(x) = –2(x − 3)^2 + 2 from vertex form to standard form.

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Question 1: Describe how you would use the distributive property to simplify (39 x 5). Question 2: Your best friend tells you the solution of 375 = x – 28 is 347. Explain your best friend’s error.

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If x>2, then x^2-a-6 / x^2-4=

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If a = b, then ac = bc. This is called the ________ ________ of equality. (2 words) Example: If x = 5, then 3x = (3)(5).

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Find the constant c such that the denominator will divide evenly into the numerator x^5-2X^2+x+c/ X+2

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1. According to the Transitive Property of Equality, if TX = XY and XY = YZ, then TX = ___. (1 point) A. TX B. XY C. YZ D. TZ 2. Which property is illustrated by the statement, if KL = LM, then LM = KL? (1 point) A. Reflexive Property of Equality B. Symmetric Property of Equality C. Transitive Property of Equality D. Division Property of Equality

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Select inductive reasoning, deductive reasoning, or neither. If 5x + 7 = 12, then x = 1. A. Inductive reasoning B. Deductive reasoning C. neither

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1. If a function f(x) is shifted to the left one unit, what function represents the transformation? A.f(x+1) B.f(x-1) C.f(x)+1 D.f(x)-1 2.Let g(x) be the reflection of f(x)=x^2+5 in the x-axis. What is a function rule for g(x)? A.g(x)=-x^2-5 B.g(x)=x^2+5 C.g(x)=x^2-5 D.g(x)=-x^2+5 3. What transformations change the graph of f(x) to the graph of g(x)? 4. Write an equation for the following transformation of y=x: a vertical stretch by a factor of 6. A.y=6x B.y=x/6 C.y=x+6 D.y=x-6

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A coach needs both small and large cones to set up an obstacle course. He knows there are fewer than 30 cones in the storage room. He needs at least a dozen large cones. Let x represent the number of small cones and y represent the number of large cones. Which inequalities model the situation? Choose exactly three answers that are correct. (Points : 1) x + y 12 y ≥ 12 x > 0 x ≥ 0

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