The bill for two diners at an upscale restaurant comes to ​$148.80. If the restaurant is in a state with a 12.5​% sales tax​ rate, find the sales tax and the total amount paid​ (without tip)

Q: 44. Prove: Let f: X-Y. Then, for any subsets A and B of Y, (a) f-1 [AUB] = f-¹ [A] Uf-¹ [B], (b) A…

A: and are subsets of

Q: The US gives military assistance to many foreign countries. The table shows a summary of military…

A: The US gives military assistance to many foreign countries. The table shows a summary of military…

Q: State the domain and range for each graph

A: In this question, we will find the domain and the range of the given graph.

Q: Describe all solutions of Ax = 0 in parametric vector form, where A is row equivalent to the given…

A:

Q: HW2_1 handwork: The equation x³ + 2x² - 10x = 6 has three real roots. Find the largest root that…

A: We have given equation is  has three real roots.To find the largest root that lies in the interval…

Q: 2. Which of the following multiplication tables defined on the set G = {a,b,c,d} form a group?…

A:

Q: Consider the indexed collection {An}neN of sets given by for every natural number n. d. An = {x € Z…

A: d. To show that ⋃n∈NAn={x∈Z:x≤41}, need to prove two inclusions:1. ⋃n∈NAn⊆{x∈Z:x≤41}:Let x be an…

Q: Construct a quadratically convergent method for calculating the n-th root of a positive number A,…

A: Let  the n-th root of a positive number A is x. That means…

Q: Find the exact area of the surface obtained by rotating the given curve about the X-axis. x = cos³0,…

A: The area of the surface obtained by rotating the curve about x-axis is given by the formulaGiven…

Q: Let G be a group and N is a normal subgroup of G. Let & be a mapping from G to H/N defined by,…

A: Given :  G be a group and N is a normal subgroup of G. Let f be a mapping from G to H/N defined by…

Q: Suppose V1, V2, V3, V4, V5 are distinct, nonzero vectors in R³ = and suppose that span(V1, V2, V3,…

A:

Q: Show that the only Hausdorff topology on a finite set is the discrete topol- ogy.

A: The question asks us to prove that the only possible Hausdorff topology on a finite set is the…

Q: = 2. A scientist develops the logistic population model P' 0.2P(1) to describe her research data.…

A: Let y′=f(y) be an autonomous differential equation,  then the equilibrium values occur at f(y)=0.

Q: Use the method of least square to fit the curve : y=co/x +C₁Vx to the following table of values 0.4…

A:

Q: dy dx xy

A: Given Information:The function is provided as .To find:The region where the unique solutions…

Q: The application of a finite-difference scheme to the heat equation on a three-point grid results in…

A: The given system is:where To find: The stability of the the system.Concept:To determine the…

Q: It takes 2/5 of a cup of blueberries for one smoothie. How many cups will ten smoothies take?

A:

Q: The eigenvalues in this problem are all nonnegative. First determine whether A=0 is an eigenvalue;…

A:

Q: (A) Find the Fourier series for the periodic function x²-16 -4≤x≤-2 f(x) = 16-x² 2≤x≤4

A: Given that Clearly, it  follows  that  be an even function.Thus, the Fourier  series  of be given…

Q: 12.8 Determine the solution of the simultaneous nonlinear equations y=-x2+x+0.5 y + 5xy = x2 Use the…

A: Given simultaneous non-linear  equationInitial guess

Q: 7. Draw a valid conclusion from each of the following sets of statements. Explain why your…

A: As per the guideline, I am supposed to solve only first question from the given problems.Given that…

Q: If matrix A is 2 x 5 and the product AB is 2 x 4, then what is the order (or size) of B?

A: is a  matrix is  matrix.We have to find the order of

Q: K Waiting period. Upstate University currently has a 6,400-car parking capacity for faculty, staff,…

A:

Q: Write the following vectors two ways: a. In unit vector notation (i.e. in terms of î & ĵ). b. As a…

A: (a) From the  given  figure(1),     Recall  the  fact  that  if    be  the  resultant  vector  of…

Q: Let n be an integer. Use a direct proof to show that if n +4 is a perfect square, then 4n+20 is…

A: Let n be an integer.We have to show that if  n+4 is a perfect square, then 4n+20 is equal to sum of…

Q: dy dx Use Euler method to solve = cos xy, if Y (0) = 3 equal to (0.2). and 0≤x≤1 Use step size

A: Step size

Q: Let w y dy Adz-z dz/dz + zda A dy be a two-form on R³. Evaluate its surface integral I along the…

A:

Q: Approximate the value of the series to within an error of at most 10-5. (-1)"+1 no n=1 According to…

A: We have to find S and N.

Q: . The Fibonacci numbers are defined by F₁ = 1, F₂ = 1, F3 = F1 + F2 = 2, and, in general, or n ≥ 3,…

A:

Q: 13. How many prime numbers are there between 1 and 500? 14. A square is inscribed in a circle that…

A: 13.The prime numbers from 1 to 500 are listed in the following chart. There are 95 prime numbers…

Q: Identify the matrix that corresponds to the relation {(1, 1), (1, 4), (2, 2), (3, 3), (4, 1)).…

A:

Q: Consider the linear transformation T: R³ R4 described below. 2 ·0-10-8-0-8 T T and T (a) Use the…

A: Note: According to the guidelines we are allowed to solve 3 subparts at a time. So please post the…

Q: Obtain the general solution to the equation. dy y ==+x+8 dx X The general solution is y(x) = -,…

A: We have to find the general solution of the given differential equation.

Q: Site 1 Site 2 Property Area (1000ft²) Cost ($1000) Area (1000ft²) Cost ($1000) 20 1000 80 2800 50…

A: It is given thatThe city of Hafr-Al Batin is in process of approving a construction site for a new…

Q: 1.4.59 A water tank has the shape obtained by revolving the parabola x² = by around the y-axis. The…

A: Torricelli's Law states that the square root of the depth of the water above the hole (y) determines…

Q: The inductive step of an inductive proof shows that for k ≥ 4, if 2 > 3k, then 2+1 ≥ 3(k+1). In…

A: The given proof is .The aim is to find the step for which the fact  is used.

Q: Consider unit propagation starting from the following clauses: {¬a,b}, {a,¬b,c}, {a,b,¬d}, {¬a,¬b},…

A: Given clauses:To find which of the below mentioned literals can be inferred:

Q: Lot a,b,c be positive intergers, Prove that (ac, bc) = (9,b)c.

A:

Q: 4. Apply two steps of SOR to the systems in Exercise 2 after rearranging. Use starting vector…

A:

Q: A camera manufacturer just shipped a batch of 36 digital cameras to local retailers and seven of the…

A: Given that a camera manufacturer just shipped a batch of 36 digital cameras to localretailers and…

Q: I Σ(+2012 - (b) Assuming the following sum equals a polynomial in n, find the polynomial. Then…

A:

Q: Evaluate (z + ) dz where C is the circle |z| = 4.

A: If C is a simple closed, positively oriented contour in the complex plane and f is analytic except…

Q: If f is a homomorphism of a group G into a group G with Kernal K. Let a E G be such that t(a)=a¹ =…

A:

Q: 1. (Ar y.y) (Asz.82) (Asz.s(82)) 2. (Ar y.y x) (Ax.y) (Ay.y) 3. (Ar y.y) ((Ax.x x) (Ax.x x)) (Ax.x)…

A: As per the question, we have to perform beta-reduction on a series of lambda calculus expressions.…

Q: A ​​600% off​ sale' begins today at​ Wanda's Women's Wear. What is the sale price of​ women's wool…

A:

Q: Que 328: Let G be an abelian group of order 9. Prove that G is either cyclic or is isomorphic to a…

A: Let G be an abelian group of order 9, so we have to prove that G is either cyclic or is isomorphic…

Q: Solve the initial value problem. dy y dx X - xe, x(1)=e-3 1 The solution is y(x) =

A:

Q: If sara walks her dog every 3 days, and marsha walks her dog every 2 days, at the end of 60 days,…

A:

Q: The set of full binary trees is defined as follows: Basis: A single vertex with no edges is a full…

A:

Q: 5. Solve the given differential equation by using an appropriate substitution. (a) (2x + 3y + 1)dx +…

A: