A group of 25 people is going to run a race. The top three runners earn gold, silver, and bronze medals. This is an example of [Select] n = [Select] r=[Select] There are [Select] of ways to choose the gold, silver, and bronze medal winners.

Q: O -1; 2 1; 2 20. Choose the correct answer. Find the roots of the quadratic equation y = 2²-2-2 by…

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Q: 40. Let. u₁=(3, 1, 1), u₂ = (-1, 2, 1), and u3 = (-1/2,-2, 7/2). Verify {u₁, U2, U3} is an…

A: A set of vectors u1, u2, β3, ..., un is said to be orthogonal if ui·uj = 0 [ dot product ]  whenever…

Q: For the given matrix A, find a basis for the corresponding eigenspace for the given eigenvalue. -30…

A: Follow the procedure given below.

Q: [7/2-1/2 07 21. Let A = -1/2 7/2 0 Which of the following vectors are eigenvectors of A? Q 0 (a)…

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Q: 2 8a) y = x - 8x + 8 10 9 to B 7 wana NOVA 6 away

A: Make the perfect square.

Q: Solve 22-5-2 +6=0.

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Q: (a) If y varies directly with x2 and y = 144 when x = 4, find an equation to represent this…

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Q: Find a7, the seventh term of the geometric sequence whose first term is a₁ = 9280 and whose common…

A: topic - geometric sequence

Q: Find the equilibrium point of the demand and supply equations. Demand Supply p= 530 0.5x p = 298 +…

A: For equilibirium point, put demand =supply

Q: How many committees of two or more can be selected from 10 people? A 21⁰-10 B) 21⁰-12 21⁰-1 (D)…

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Q: 19. Choose the correct answer. Which equation matches the roots of the graph shown? Or(x)= x(x - 5)…

A: Observe the roots in from the given curve then write the equation of the curve using roots.

Q: Please solve this all 4 questions

A: We have to find the value where the inequalities satisfy

Q: The triangle ABC has a centroid sides measure AB = 67.83m, BC= 33.25 m, and CA = 62.51m. Compute the…

A: Given that: AB =c= 67.83m, BC=a= 33.25 m, and CA =b= 62.51m We have to find the distance from vertex…

Q: For an invertible matrix A, prove that A and A have the same eigenvectors. How are the eigenvalues…

A: A is an invertible matrix, A and A-1 have same eigenvectors.

Q: 2 3 13 1 3 14 perform the indicated row operations. R₂-2R₁ R₂ ->>> 2 3 13 R₁ R₂ 1 3 14 14-16834-68…

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Q: -3+√17 8 01 20. Choose the correct answer. Which of the following is a root of the equation 8x² - 6x…

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Q: ele sin 0 Consider an angle with cos Ꮎ 10 and 10 . What point on the unit circle corresponds to this…

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Q: -9 -8 -7 -6 -5 -4 -3 -2 -1 8- 7- 6- 5. 4- 3- 2 1- -1-4 -2- -3- -4- -5. -6 -7- -8- -9- 4 5 6 7 8 Q

A: Follow next step

Q: Rationalize the denominator and simplify. 10 √3

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Q: Use the properties of logs to expand: x+5 b) log+ 3x-2 d) log, x(x + 4)

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Q: Find the centroid of the triangle formed by joining the points A (3, 2), B (-1, 4), and C (5, -3).…

A: Explained below

Q: section, rry!). All 4 questions below ask you about rotations beyond which force you to think…

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Q: 1. If f(x) = 3x + 9 and g(x)=x²-4, find: a) (fog)(x) c) (gof)(x)

A: A detailed solution is given below

Q: A company invests $13,000 to produce a product that will sell for $53.60. Each unit costs $9.15 to…

A: Here we will solve (a) and (b) step by step,

Q: For the given matrix A, find a basis for the corresponding eigenspace for the given eigenvalue. 2 0…

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Q: Find the value of x: i) 4log5 - logx = 3 ii) 100 x 10² = 1004 X = X=

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Q: Multiply and simplify. (√x +2√√5)(√x - √5) = 0 (√x + √5)² = 0 0° 0/0 X Ś ?

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Q: f the demand for a product is given by D(p) = ((1000/(square root of p))- 1 what is the average…

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Q: inequality

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Q: Graphs and Inverse Functions 121. ›Interpreting an Inverse The graph of f computes the balance in a…

A: We need to interpret the function.

Q: radicals as factors. √xy³ 3 a) log 22

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Consider the graph of f(x). y 8 6 4 2 -2 -4 -6 -8- (a) Estimate f(5). (b) Estimate x, such that f(x)…

A: Given that a graph of f(x) or y and x . We find the value of f(5) . And if f(x)= -4 then what is x.…

Q: Use the properties of logarithms to write the logarithm in terms of log5(3) and log5(7).…

A: The expression is given by log563 Formula Used:  logam×n=logam+logan logamn=nlogam To evaluate: The…

Q: 3 and V₂ = Find A.

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Q: Find the volume of a waffle cone with a diameter of 4.4 in. and an approximate height of 3 in. The…

A: Given; Diameter=4.4 inches  Height=3 inches.

Q: If all the graphs are 1:1 scale, select the correct one for the following constraint (the correct…

A: The given inequality y<4x-1

Q: For the following exercise, graph the polynomial function. Note x- and y-intercepts, multiplicity,…

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Q: 13. What is the twelfth term in the sequence an = 3n - 22? 09 0-7 O 14 O26

A: Find the twelfth term

Q: 1. For each problem, identify the type of function you are dealing with (linear, quadratic, or…

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Q: Find the value of 0 3√64.

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Q: 14. Which statement best describes the end behavior of the function f(x)=3-5x+2x²-7x³? O f(z)…

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Q: 10. DETAILS HARMATHAP12 0.5.073. MY NOTES ASK YOUR TEACHER Suppose that you have $3000 to invest,…

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Q: Consider the following. 13 -30 -2 -3 A = 2²-[33] P = 5-12 -1 -1 (a) Verify that A is diagonalizable…

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Q: 15. What are the x-intercepts of the equation y = x² + x - 20? O4 and -5 O 10 and -2 O-20 O-4 and 5

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Q: 38. Let u₁ = (2, 1, -1), u₂ = (3,-4, 2), and u3 = (2,7, a). Find all values of a such that {u₁, U2,…

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Q: notation.) h(x) = ln(x + 7)     Find the x-intercept. (x, y) =          Find the vertical…

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Q: f d(x, y) denotes the distance between two points

A: answer is in next step

Q: Prove this using natural deduction: ∀x¬∀y(P xy → Qxy) -> ∀x¬∀y¬P xy

A: answer is in next step

Q: David worked 38 hours last week. If the hourly rate is $13, find the gross pay?

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Q: Prehistoric cave paintings were discovered in a cave in France. The paint contained 12% of the…

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