In a race in which twelve automobiles are entered and there are no​ ties, in how many ways can the first three finishers come​ in?

Q: Find a formula for the nth term of the geometric sequence 1600, -400, 100, -25......

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Q: .. )3

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Q: Find the missing values assuming continuously compounded interest. (Round your answers to two…

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Q: Graph the equation y=x^2-5

A: solution:-y=x2-5parent function is:f(x)=x2 graph:-

Q: isn't

A: y = x^2-5 The parent function of this curve is given as y = x^2 Y is positive for all x values ,…

Q: Use the crossing-graphs method to solve the given equation. (Round your answer to two decimal…

A: Given.

Q: 1. Write the following sets in Rooster Method and Set Builder Notation. (a) The set of complex…

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Q: Use synthetic division to find the zeros f(x) = 3x^3 + 9x^2 + x + 3

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Q: If the average salary of a computer programmer is $71, 800 with a standard deviation of 13, 000,…

A: I am attaching image so that you understand each and every step.

Q: What is the ratio of 8 minutes to 8 hours, reduced to its lowest terms?

A: Given  T1=8 minutes T2=8 Hours

Q: three varieties of coffee -coffee A coffee B and coffee C are combined and roasted yield a 51lb…

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Q: The percentage of employees who cease their employment during a year is referred to as employee…

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Q: Given the triangle ABC, if angle A is 40 °, angle B is 70 °, and side a is 25 ft. What is the…

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Q: Find the standard deviation of 10, 16, 18, 20, 22, 28. Round to the nearest hundredth.

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Q: 1 the dimension Determine of the matrix: 5-97-8 3 10 -1 -

A: Given 5-97-8310-1-71

Q: The growth factor of an exponential function P (t) is 2.42. The initial value is 3.88. Then a…

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Q: d. 2 -6 1 7 -1 7 -7 4

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Q: Find out how much a retirement account based on a principal of $101401 compounded 4% quarterly after…

A: Let's find amount after 23 years.

Q: 2. TRUE OR FALSE. Write TRUE if the statement is true, otherwise provide a counter example (an…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: The following data represents the age of 30 lottery winners.   20 29 31 33 42 43 44 45 47 50 52 52…

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Q: researcher for the EPA measured the amount of arsenic in the water near a sewage treatment plant.…

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Q: 1.) Write the system system of linear equations represented the augmented matrix. the coupables…

A: To write the system of linear equations represented by the augmented matrix. 52⋮38-7⋮0

Q: Find the area of the smaller segment of a circle of radius 10cm determined by a chord which subtends…

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Q: 1 2 1 -1 5 2 and B = (²) a) Given A = -1 3 7 9, 1 -3 0 2 1 15 6. Find 5). Find 1 6/ i) the…

A: The given matrices are; A= 1 2 1       B= 1 2 1      -1 5 2            -3 15 6        3 7 9…

Q: Solve the absolute value inequality below. 12x +41 +62 24

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Q: Solve for x. (Round your answer to three decimal places.) ex = 1/3 x = ______

A: Solve for x. (Round your answer to three decimal places.) ex = 1/3 x = ______

Q: The first and sixth term of the arithmetic progression is 2/3 and 22/3 respectively. Find the sum of…

A: Let's find 12th and 17th term sum of arithmetic sequence.

Q: The percentage of employees who cease their employment during a year is referred to as employee…

A: Let's find linear model for the data given.

Q: Solve the system using the method of your choice. Be sure to show proper work for whichever method…

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Q: 11. Find the distance between (6, -6) and (-1, 1). √14 7√2 5√2 07

A: To find the distance between 6, -6 and -1, 1.

Q: Find (a) the orthogonal projection of b onto Col A and (b) a least-squares solution of Ax = b. A = 8…

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Q: expectancy

A: Please refer to the image below

Q: The sample variance, ² = Σ(x-x)² n-1 {14, 13, 16, 9, 3, 7, 11, 12, 11, 4} is I of the data

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Q: Establish a formula the following pattern in terms of any positive integer n and prove that the…

A: Given data:- The given pattern show below; 1·9+2=11 12·9+3=111 123·9+4=1111 1234·9+5=11111…

Q: Solve the system of linear equations using matrices. 6x - y = -28 - 5z 4x + 2y = 10 5x + 6z = -23…

A: Given,

Q: A job will start you off at $80000 and give you a 3 % raise every year. How much will the total you…

A: Solution:- Total amount after 20 years will be   A = 80000×(1.03)^20

Q: 12) The distance between the point Po(2,1,3) and the line 1: x= 1 + 4t, y = -6t, z=3-2t A) d (Po,…

A: Given problem:- Find the distance between point P02,1,3 and the line l: x=1+4t , y=-6t, z=3-2t

Q: a) Find the value(s) of k for the following matrix if the matrix is singular. -1 2 1 5 1 -4 -3 0 k…

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Q: Solve for the value of x from the given matrix: [(x-2) y (2z - j)] = [(y+z) j2 (x-1)]

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Q: 5√3+√2 √3-√√2

A: This question is based on Rationalization.

Q: If f(x) = x² + x and g(x) = x - 5, find f(g(x)) and g(f(x)). f(g(x)) = g(f(x)) = 10

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Q: Use an inverse matrix to solve the system of linear equations, if possible. (If there is no…

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Q: Solve the following: 165 32

A: The answer is given below:

Q: Find the sum 5 Σ (3n+2)(2n-1) n=3

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Q: Use the formula A-1 = 15 WN d ad-bc-c -b a to find the inverse of the 2 x 2 matrix, if possible. (If…

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Q: Let A - det (A) = [4 for A = - If the matrix is invertible, use the equation A-1: A-¹ = 11. and…

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Q: Factor completely x8 − 625. (x4 − 25)(x4 + 25) (x2 − 5)(x2 + 5)(x4 − 25) (x2 − 5)(x2 − 5)(x4 −…

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Q: 1. At a local high school, for every yearbook that is sold, $5 goes to a graduation bursary. For…

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Q: True or False: Let F be a vector field defined on a region R. If the line integral of the vector…

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Q: Use an inverse matrix to solve the system of linear equations, if possible. (If there is no…

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