QUESTION 1 (a) The third and sixth term of an arithmetic progression are -8 and 4 respectively. Find i. The first terms and the common difference ii. The sum of the first six terms. (b) The seats in a lecture hall are aranged in a sequence such that the first row has 30 seats, the second row has 34 seats, the third row has 38 seats and so on. How many seats are there in the lecture hall if there are 20 rows?

Q: write a formula for the nth term the fibonacci sequence 1, 1, 2, 3, 5, 8  if a1=1, a2=1, and n>=3. f...

A: To find: The 15th term Given information: The fibonacci sequence 1, 1, 2, 3, 5, 8  if a1=1, a2=1, an...

Q: c) Consider a function f defined on the real numbers as { 0ifais irrational. S(r) = 1/n ifr= m/n wit...

A: To show that the function f is continuous at all irrational numbers.

Q: 5x - 6 = 14

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Q: a) Show that the work performed by a constant force (not necessarily in the direction of motion) can...

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Q: The price p (in dollars) and the quantity q sold of a certain product obey the demand equation q= 80...

A: The price p (in dollars) and the quantity q sold of a certain product obey the demandequation q=800-...

Q: Find the values of 1 for which the equations (2- 1)x + (32 + 1)y + 2\z = 0 (A-1) x + (42 – 2)y + (1 ...

A: Here we have to find the value of λ for the three equation to be consistent.

Q: The graph of f(x) = 2x is moved 3 units up and 2 units to the right. Which function models the new g...

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Q: Express the column matrix b as a linear combination of the columns of A. (Use A,, A,, and A, respect...

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Q: Show that B is the inverse of A. -5 -3 -6 3 3 1 -6 -1 -6 3 A = 3 6. 4 2 0 -2 3 STEP 1: Find AB. AB =...

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Q: isert Draw View Class Notebook

A: We will check which of these are true. 

Q: et f(x) = 10x - 3x + 3. Calculate the average rate of change on the interval a, b for a b

A: Given query is to find average of change for the given interval.

Q: 1. Two species are said to be symbiotes if they help each other to survive. For instance, clown fish...

A: Given: ck=The population of clown fish in kth seasonak=The population of sea anemones in kth season1...

Q: Ollivanders is a wand shop for wizards in Hogwarts. It has been estimated that when x wands a...

A: Given that Ollivanders is a wand shop for wizards in Hogwarts. It has been estimated that when x wan...

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Q: homework assignment in 30 minutes. If Jacob completed the assignment by himself, it would have taken...

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Q: Solve 7V +1<9. The solution is

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Q: With 2.4 mil subscribers, a top- ranked magazine has 1140% more digital subscribers than a magazine ...

A: Suppose, the magazine ranked third has x million subscribers Therefore, the top-ranked will have 114...

Q: motorboat takes 5 hours to travel 150 kilometers going upstream. The return trip takes 3 Hours goiny...

A: Given query is to find the the rate of boat in still water and te rate if current.

Q: 3917000 births in a countr

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Q: Given the function defined by g(x)=-x^(2)-3x+4 find g(-4) Simplify

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Q: Question 1: Whích one doesn't belong? Share your reasoning. 9 16 25 43

A: Given :9162543

Q: Write the following decimal number as a fraction: 1.45222... Write the following decimal number as a...

A: Question : write the following decimal number into fraction 1.45222... 3.1828282...

Q: Find values of a, b, and c (if possible) such that the system of linear equations has a unique solut...

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Q: 10 -10/-9 -8 -7 -6 -5 -3 -2 -1 5 10 -2 -3 -4 -6 -7 5 43 ㅜ

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Q: How many pairs to sum an even number or one greater than 9?

A: Please see the below picture for detailed solution.

Q: che limit to the following sequence. Round your answer to the nearest hundredth. =[ 10n2 +3n+1 ]/ [2...

A: We will find the limit of the sequence. 

Q: 1. Graph the function g given by g(x) = –f(x). 2. Graph the function h given by h(x) = f(-x). Draw e...

A: Graph of functions

Q: 6. V3y? – V12y? 7. V48 – V12 + V27 -

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Q: A horse is now 50 of her leap ahead of an elephant, which is pursuing her. How many more leaps will ...

A: Given; A horse is now 50 of her leap ahead of an elephant, which is pursuing her. the horse take bef...

Q: Consider the following system: x+y+2z = b, x+ 2y + 3z = b2, 2x +y+3z bz. %3D The system has infinite...

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Q: • Diagonals of an Isosceles trapezoid are congr Given: Isosceles Trapezoid ROMA with diagonals RM an...

A: According to question,Given,Isosceles Trapezoid ROMA with diagonals RM¯ and AO¯.

Q: Let z1 = 2 – 3i , z2 = -1+ 5i , and z3 = -6- 2i. %3D 2123 Evaluate: z2 . Express final answer in bot...

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Q: Given the matrix 7 - Find the Characteristic Equation and find its solutions (aka: eigenvalues). A)R...

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Q: The length of one side of a square is given by taking the square root of the area. The side length o...

A: Note: For changing any expression in its simplest form, we need to keep certain things into consider...

Q: Two cyclists leave towns 184 kilometers apart at the same time and travel toward each other. One cyc...

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Q: 19. If 30 lb of rice and 20 lb of potatoes cost $23.40, and 20 lb of rice and 12 lb of potatoes cost...

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Q: Find the upper and lower bounds of the zeroes of each polynomial function. 1. f(x) = x^3 + 4x^2 + 8x...

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Q: Find the average rate of change of g(x) 2x + 6 between x = 1 and x = 4 -

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Q: The graph of f below is complete, since it displays all zeros, the end-behavior, and the y-intercept...

A: Graph of the polynomial function is given, we have to find its x and y intercepts

Q: A = (3x-2/x are integers between 0 and 8} 1.

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Q: If A, B, C and D are invertible matrices of same size such that DCBA(BA)-'C-'(C-'D)-' = DA='C². %3D ...

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Q: Question 9 The table shows the total number of flakes of fish food f to feed g goldfish. Write an eq...

A: Topic = Algebra

Q: 2 2 4 3 15 3. 1 Let A = 2 1 1 B-' = 4 -2 5 -1 4 3 If C = (B" A-)-1, Then c, = A) 13 B) 26 C) –3 D) 2...

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Q: 2 -5 -4 -3 -2 -1 4 5 -1 -2 Use the graph above to find the intervals on which the function Increasin...

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Q: = 1 = 2 3 4 7 8 9. 10 11 A table of values of a linear function is shown below. Find the output when...

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Q: 3 m4 m 2 72

A: We know that If bases are equal then powers should be added

Q: 6 Question 8 Fifty adults were surveyed about which activity (yoga, cycling, walking) they like to d...

A:   men women total Yoga 3 7 10 cycling 12 5 17 walking 14 9 23 total 29 21 50

Q: Find the inverse of the matrix (if it exists). (If an answer does not exist, enter DNE.) -19 33 4 -7

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Q: 3n- 2m -:n, m en} Let B ER Then inf(B) = nm

A: