It is given that y varies directly as x². When x = 4, y = 64. (a) Express y in terms of x. (b) Find y if x =3. (c) Find x if y=100.

Q: 3. If the terminal arm of angle 0, in standard position, passes through point (-b, 2b), where b>0,…

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Q: Use laplace transform. Evaluate 2y"+3y'-2y=te^(-2t) , y(0)=0, y'(0)=-2

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Q: A person running at 45 kilometers per hour (KPH) is riding a train at 120 KPH going to Manila. Who…

A: Given that , Speed of a person = 45KPH  Speed of a train = 120KPH  Because, we have same unit of…

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A: Find total interest paid

Q: 32. All of the following graphs are Eulerian graphs EXCEPT for: A. an 8-regular graph B. the…

A: A connected graph G is called an Eulerian graph iff all vertices of G are of even degree, and a…

Q: Use Cramer's Rule to solve the system of linear equations for x and y. kx + (1 k)y = 1 (1 - k)x + ky…

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Q: ou may use a scientific calculator, but not a graphin Select all expressions that are squares of…

A: We will solve the problem.

Q: Graph the function. State the domain range, and asymptote. please show work. y = 2₁4x

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Q: What is the equation for the line of intersection between the planes ₁:x+6y + 3z = -1 and 1₂:3x -…

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Q: 19. If the standard deviation of a data set is squared, what measure is found? O mean Ovariance O…

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Q: Q3) Assume A = [4 16 3 11 7 21 [3 21 and B = 1 5 (3 14 3 show that (AB)' = B' A'

A: Given, A=431672B=321543

Q: WEEK Systems of Linear Equation in Two Variables 7 Lesson After going through this lesson, you are…

A: Disclaimer:  “Since you have asked multiple questions, we will solve the first question for you. If…

Q: 7. A binary operation a*b = (a+b)/3 defined on Real Numbers is_ A. just a groupoid B. a semigroup…

A: Groupoid : A set having one binary operation satisfying only Closure .

Q: Which of the following sets represents the range of the diagram below? 2 3 09 4 4 5 5 f(x)

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Q: 60° x 30° 6

A: Concept: Trignometry foundation: (Degree minute and seconds) 1°=60'1°=3600''Here ' is for minute and…

Q: A binary operation a*b = a + b (logical operation IF-AND-ONLY-IF) defined on {True, False} is A.…

A: We will use the truth table for the given problem.

Q: QUESTION 1 Show that W = {(a, 0, b)|a, b = R} is a subspace of R³.

A: Let W is a subspace of a vector space V if and only if  u+v∈ W  for all u,v ∈W α.u∈ W  for all α∈ F…

Q: What is the effect on f (x) = 5 + 1 after it is transformed to g(x) = 5(x+6) +1

A: The graph of f(x) passes through (0,2)

Q: 10. B is the point (p, 0) on the x-axis. A vertical line is drawn from B and cuts the line 3x + 2y -…

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Q: 7-4 3 b. -31=-x-10 5 C

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Q: Linear Systems. (a) Find the solution set of the homogeneous linear system below. x + y + 2z = 0 y…

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Q: Find a unit vector in the direction of the given vector. -16] 16 -8 Select one

A: Please refer to the image below

Q: we companies rented a venue to promote their respective products. They are the cost of rent equally…

A: Topic:- algebra

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A: We know that equation of a circle centered at the origin with radius r is x2+y2=r2. So, for radius…

Q: Angel has xx nickels and yy dimes. He has a maximum of 22 coins worth a minimum of $1.40 combined.…

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Q: Find the two numbers whose sum is 23 and the difference of whose squares is 207.

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Q: U = (1, 2, 3, 4, 5, 6, 7, 8, 9) A= (2, 3, 5, 8} B = (1, 3, 5, 7, 9) C = (3, 5) Draw a Venn diagram…

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Q: 25 yd 16 ye 15 yd 20 yd

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Q: Let f(x) = sin x and g(x) = cos x, and W = span{f,g}. Use the Wronskian to show that f and g are…

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Q: I. 7. Evaluate each determinant. -3 4 -5 2 -3 -5 1 3 5 -

A: On solving this we will get

Q: Two airplane leave an airport,and the angle between their flight paths is 40°. An hour later, one…

A: Here we have to find the distance between 2 planes by using law of cosines.

Q: [30 0 09 0 A = 00 -1 Define the linear transformation T: R³ → R³ by T(x) = Az. Find the images of u…

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Q: 2000 minus 30 What percentage? Please answer thank you

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Q: answer

A: 2x3/4 - 14 = 50 2x3/4 = 54 x3/4 = 27

Q: 15.Consider the group (A, *) where *is defined by the table below A B C D ABA D C BA B C D C D C A B…

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Q: Determine whether W = {(a,2,b)|a,b ∈ R} is a subspace of R3.

A: Let W is a subspace of a vector space V if and only if  u+v ∈W  α.u ∈ W   for all u,v ∈W and α∈F .

Q: 1. Find the cofactor of 6 in matrix D 9 8 4 7 -9 3 D= -3 9 6 (8 2432 23 2

A: The cofactor  Aij of aij is defined by  : Aij =(-1)i+j det Mij .

Q: Question 2 The owner of an apartment building can rent all 60 suites (i) if $120 per month is…

A: Number of suits for rent = 60  Charge for each suite = $ 120

Q: Together two computers cost $2700 per year to rent. If one costs twice other, what is the monthly…

A: Total cost to rent for one year for both computer is : $2700

Q: 10.The inverse of the elements of A = {0,1,2} under a*b = (a+b) modulo 3 are A. 0' = 0, 1' = 1, 2' =…

A: Given : A={0,1,2}    To Find : Inverses of A={0,1,2} under a*b=a+b (modulo 3)

Q: Q1\ Find the domain and the range for the following functions. choose only two 1- y = 1\(1 + x²) 3-…

A: Domain and range of function

Q: i. v² =v² +2a(s— s.) ,a =

A: Note: Due to guidelines I can solve only the first question.Thanks   Solution: i) v2 =v02 +2a(s-s0)

Q: We will define a checkharel matrix to be a Square matrix A = (d), where di; = { 1 if it; is even Lo…

A: As per our guidelines we are supposed to answer only one question at a time. Kindly repost other…

Q: express each answer as a single power, e.g. 26, AND evaluate. Demonstrate understanding of the…

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Q: Solve 7,8 and 9these are juts short questions plz

A: Please see the below picture for detailed solution.

Q: (xth)

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Q: Which graph shows f (x) = 4-2 and its translation g(x) = f(x) +7? O O

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Q: Find the general and Singular Solution of the Following differential equation x² = 1 + P²

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