Determine which of the conic sections is represented by 4x² + 14xy + 5y² + 18x − 6y +30 = 0

Q: Prove the following by using induction: 1(1!) + 2(2!) + 3(3!) +...... + n(n!) = (n + 1)! - 1, for n…

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Q: Prove that if is any commutative and associative binary operation on a set S, then (a*b) (c* d) =…

A: Solve the following

Q: --2- 0 2 -2 Cursor to interact with graph y statements I and III are true. ly statements I, II, and…

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Q: If a,,ª,,.....ª, is an AP of non-zero terms, what is the sum of the following series? 1 9,9₂ azaz

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Q: L-1 ( 1 (s+1)(s²-1)

A: A detailed solution is given below.

Q: The population of a city increased from 225,000 in 2015 to 248,000 in 2020. Find the relative…

A: A detailed solution is given below.

Q: How many 3-digit multiples of 5 can you form using the digits and 9 without repetition?

A: Please see the below picture for detailed solution.

Q: Solve for x in the triangle. Round your answer to the nearest tenth. A 13 =0 61° x=

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Q: A small firm builds two types of garden shed. Type A requires 2 hours of machine time and 5 hours of…

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Q: 4 If R is a commutativ ring, show that the characteristic of R[X] is the same the characteristic of…

A: Given

Q: Frank is investing his money. He thinks that he should make $12 for every $100 he invests. How much…

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Q: 9p5q9

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Q: What does the Fundamental Theorem of Algebra tell us about a polynomial over real numbers?

A: Use the definition of theorem

Q: Translate the following phrase into an algebraic expression using the variable w. Do not simplify.…

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Q: rite an equation of the form y=a sinbx or y=a cosbx to describe the graph below. VAA 2n 2 4 3. 0…

A: Given query is to find the equation of the function.

Q: Find all of the possible values of the constant k for which is the equation of a circle. x² + y² +…

A: Solution: x2 +y2 +10x -14y +k2+10 =0 We know the general form equation of circle x2 +y2 +2gx +2fy +C…

Q: Solve by elimination (addition or subtraction). 8x - 2y = 6 3x + 2y = 16 2x+y=7 x + 3y = 11

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Q: c) Write down a quadratic equation that does not have a real solution. Explain your answer.

A: Solution is here

Q: Note: Enter your answer and show all the steps that you use to solve this problem in the space…

A: Hyperbola with centre at 0,0  and the transverse axis is the x-axis is given by  x2a2-y2b2=1  Then,…

Q: Thirty cities were researched to determine whether they had a professional sports team, a symphony,…

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Q: 13. Find the cofactor matrix and adjoint of matrix A A = 2 -2 1 3 1 3

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Q: 2) Find the derivative of the function f(x) = 3x² by definition

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Q: for each item. If NONE or MORE THAN ONE of the choices is the correct answe

A: Solution of the problem as follows

Q: The length of a rectangle is 3 inches longer than it is wide. If the area is 28 square inches, what…

A: area of rectangle is = lb here width = b length = b+3 A = 28 b(b+3) = 28 b2 + 3b -28 =0 b2 +7b -4b…

Q: Find the maximum value of P(x,y) = 12x + 15y subject to the constraints: x>0 y 0 4x + 3y 12

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Q: 1. Construct the truth table: (p ^ q) → (~pv q) and determine whether it is a tautology,…

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Q: ection: Write an equation that will solve x. X 41° 2. 10 1. 36 20 125 5 3. 25 95° 5.5

A: Topic:- trigonometry ratios in triangle

Q: University Theater sold 510 tickets for a play. Tickets cost $22 per adult and $10 per senior…

A: Let the number of adult tickets sold = a Let the number of senior citizen tickets sold = s

Q: 9. Find the value of 2sinhxcoshx O a. cosh (2x) O b. sinh(x) O c. sinh(2x) O d. sech (2x)

A: Given:        Value of 2sinhxcoshx     we know that                             coshx=ex+e-x2…

Q: 3. The calories per serving of 11 fruit juices are shown in the following table. Find the mean,…

A: A detailed solution is given below.

Q: Who is the Condorcet(Pairwise Comparison) winner? Number of Votes 14 1st Rank BBM 2nd Rank LENI 3rd…

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Q: In a AABC, the side lengths are given as AB = 15. BC = 18 and CA= 24. Determine the distance between…

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Q: Question #2: Solve the system of equations (x² + y² = 10 y = x + 2

A: We have find the solution

Q: Ex1 Let f(x) = 4x + :f(x), g(x) € 75[x] f(x). g(x). Where Compute f(x) + g(x). and 2 g(x) = 3x² +…

A: Given problem:- f(x) =4x3 +2x2 +x+3 g(x) = 3x4+3x3+3x2+x+4  Find:- f(x) +g(x) and f(x) •g(x)

Q: water level of a river in the city of Melbourne changed by − 4 1/4 feet over a 3-month period. Which…

A: Given query is to find the average rate of chnage per month.

Q: Given

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Q: A survey of 115 high school students determined whether they used Instagram, Twitter, or Facebook.…

A: Here, to find how many students only used Instagram.

Q: 9 X 23°

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Q: Find the extremum of f(x,y) subject to the given constraint, and state whether it is a maximum or a…

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Q: 1 1(2) + 1 + 2 (3) 1 1 + 3(4) 4(5) +...+ 1 n(n+1) = 1-¹ if n E N. n+1

A: Explanation of the answer is as follows

Q: Find the product AB. Show the manual solution of getting the product. 2 1 A = -3 0²); B = ( ²3 - ²/1…

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Q: 5) A machine sells sweets in five different colors: Red, Green, Orange, Yellow, Purple You cannot…

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Q: en cos 0 = 2, find the other five trigonometric functions. Draw a picture to support your answers 20…

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Q: Write the equation of a sine or cosine function to describe the graph. 10 3- 2 8x 3 H 2 3. w|#| 41…

A: Formula of cosine cureve is f(x) = acos(bx) Where a is amplitude

Q: Jeremy has $15 to spend at the carnival. Tickets for rides cost $1.50. Tickets for games cost $1.00.…

A: We have to find the equation and graph it.

Q: 6- Show that the Polynomial has a Z4 [x] 2X+1 in multiplicative invers. in 24 [x].

A: Given

Q: Find the sum of 1+++..... Hint: Series converges O 1.5 O infinity O-1.5

A: Given query is to find the sum of the series.

Q: Solve using the following system by determinants following Cramer's rule. x+y+z = 5 x - 2y - 3y = −1…

A: We have to slove determinants by use camer's rule

Q: Use the ALEKS calculator to evaluate each expression. Round your answers to the nearest hundredth. =…

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Q: A survey of 121 high school students determined whether they used Instagram, Twitter, or Facebook.…

A: Given :Total students : 12173 instagram80 facebook44 instagram and facebook24 all three66 twitter39…