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A chess competition has eliminations each round. The table below shows the number of players in each of the first 5 rounds of the tournament: Round (x) 1 2 3 4 5 Players f(x) 256 128 64 32 16 Compute the average rate of change of f(x) from x = 1 to x = 5 and identify the meaning of that rate. −60; on average, there was a loss of 60 each round −240; on average, there was a loss of 240 each round 4; there were 4 rounds between rounds 1 and 5 240; there were 240 fewer players between rounds 1 and 5

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Solve. 24:126 = 48:X

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A barrel of tomato sauce has spilled on a tile floor. The sauce flow can be expressed with the function r(t) = 2t, where t represents time in minutes and r represents how far the sauce is spreading. The spilled sauce is creating a circular pattern on the tile. The area of the pattern can be expressed as A(r) = πr2. Part A: Find the area of the circle of spilled sauce as a function of time, or A[r(t)]. Show your work. (6 points) Part B: How large is the area of spilled sauce after 5 minutes? You may use 3.14 to approximate π in this problem. (4 points)

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Suppose that AD,BC,AC and BD are line segments with line AD parallel to line BC. If AD=3, BC=1, and the distance from AD to BC is 5, then what is the altitude of the smaller triangle?

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Jake is comparing the prices of two laundry service companies. Company A charges $20 per load and an additional $8 as service charges. Company B charges $24 per load and an additional $4 as service charges. Part A: Write equations to represent Company A and Company B’s total laundry charges for a certain number of loads. Define the variable used in the equations. Part B: Which company would charge less for 5 loads of laundry? Justify your answer. Part C: How much money is saved by using the services of Company A instead of Company B to clean 9 loads of laundry?

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The function N(t)=3001+299e−0.36t describes the spread of a rumor among a group of people in an enclosed space. N represents the number of people who have heard the rumor, and t is measured in minutes since the rumor was started. Which of the following statements are true? Check all that apply. A. There are 300 people in the enclosed space. B. It will take 30 minutes for 100 people to hear the rumor. C. The rate at which the rumor spreads speeds up over time. D. Initially, one person had heard the rumor.

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Find the derivative of f(x) = 8x^2 + 11x at x = 7.

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7. Which of these polynomial functions gives the number of lights in a hexagonal rig (six sides) with n rows? (Hint: Look for a pattern in the coefficients of the polynomial functions for the triangular, square, and pentagonal lighting rigs.) A. H(n) = 2n^2 – n B. H(n) = 2n^2 – 1 C. H(n) = ½n^2 + n + 1 D. H(n) = ½n^2 + n 8. H(n) ÷ S(n) will give the ratio between the number of lights in a hexagonal rig and a square rig. After doing the division, determine which one of these statements is true. A. As the number of rows increases, the hexagonal rig gets closer to having three times as many lights as the square rig. B. As the number of rows decreases, the hexagonal rig gets closer to having twice as many lights as the square rig. C. As the number of rows decreases the hexagonal rig gets closer to having three as many lights as the square rig. D. As the number of rows increases, the hexagonal rig gets closer to having twice as many lights as the square rig.

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Two students in your class, Wilson and Alexis, are disputing a function. Wilson says that for the function, between x = -1 and x = 1, the average rate of change is 0. Alexis says that for the function, between x = -1 and x = 1, the graph goes up through a turning point, and then back down. Explain how Wilson and Alexis can both be correct, using complete sentences.

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What is the middle product of (-2x + 1)(-3x – 5)? 7x -3x -7x

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What is the solution of log2x − 5 25 = 2?

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What equation is solved by the graphed systems of equations? Two linear equations that intersect at the point 7, 25. 3x + 4 = 5x – 10 3x – 4 = 5x – 10 3x + 4 = 5x + 10 3x – 4 = 5x + 10

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According to the Rational Root Theorem, which statement about f(x) = 66×4 – 2×3 + 11×2 + 35 is true? a. Any rational root of f(x) is a factor of 35 divided by a factor of 66. b. Any rational root of f(x) is a multiple of 35 divided by a multiple of 66. c. Any rational root of f(x) is a factor of 66 divided by a factor of 35. d. Any rational root of f(x) is a multiple of 66 divided by a multiple of 35.

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You are given the polar curve r=1+cos(θ). (a) List all of the points (r,θ) where the tangent line is horizontal. In entering your answer, list the points starting with the smallest value of r and limit yourself to r≥0 and 0≤θ

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ABCD is similar to RSTV. What does RS equal when AB=10, DC=15, ST=30, TV=18, and RV=24?

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Which is the direct linear variation equation for the relationship? y varies directly with x and y = 10 when x = 2. A. y = x – 8 B. y = x + 8 C. y = 5x D. y = 2x + 6

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What can you infer about triangle mnp if cos⁡n = and sin⁡n = ?triangle mnp is an obtuse triangle.triangle mnp is an acute triangle.triangle mnp is an isosceles triangle.triangle mnp is a scalene triangle.

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55÷11 7×(2 14) show work pls

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2d-5=17 what does d equal

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What property does the statement (4×8)×3=(8×4)×3?

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Solve for t: f=mv/t solve for a: a d (n-l)

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Solve 14.2 divided by 0.5 show your work and explain how you knew where to place the decimal point

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Can solve this…(-2e3)4?

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What is the variable y in w= x y/z?

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What is the answer to 10 = -4 x?

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The surface area, S, of a sphere of radius r feet is S = S(r) = 4πr^2. Find the instantaneous rate of change of the surface area with respect to the radius r at r = 8.

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The surface area, S, of a sphere of radius r feet is S = S(r) = 4πr^2. Find the instantaneous rate of change of the surface area with respect to the radius r at r = 8.

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Nick gets out of school at 2:25 p.m He has a 15 minute ride home on the bus. Next he goes on a 30 minute bike ride.Then he spends 55 minutes doing homework.At what time does nick finish doing his homework

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Let A = 40. If B is complement of A, and C is a supplmenet of B, what is B+C?

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I WILL UPVOTE U PLEASE HELP ME Create your own problems that involve subtracting different types of polynomials. Write each problem according to the directions. Then subtract the polynomials, showing all work necessary to write the answer in simplest form. 1. Subtract a first degree binomial from a second degree trinomial. 2. Subtract a second degree trinomial from a second degree trinomial. 3. Subtract a second degree binomial from a third degree trinomial.

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