A customer purchase $28.14 in products only $12.83 is taxable. How much sales tax is owed if the tax rate is 10%

Q: 3. Given that µ = 5 and o = 2.8, the z-score for x = 6.6 is: a. 0.89 b. 0.98 C. 0.57 d. - 2.1 4.…

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Q: 6. A shopper observes that whenever the price of butter goes up, the price of cheese goes up also.…

A: Given : A shopper observe that , When the price of butter goes up, the price of cheese goes up also…

Q: Let G be a finite group and H a subgroup of G of order n. If H is the only subgroup of G of order n,…

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Q: If Z(x1(n))=X1(z) and Z(x2(n))=X2(z) then what is the z-transform of correlation ?between the two…

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Q: (c) Suppose that G = (a), a e, and a5 = e. Construct a Cayley table for the group (G,.). CIG [11

A: We shall answer first question only as you have asked more than one different question. For others…

Q: 1. If the probability that it will rain tomorrow is 40%, the probability that it won't rain tomorrow…

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

Q: (a) Describe the symmetries of the Figure below. Assume that o is the centre of rectangle abcd. (b)…

A: (a.) To describe: The symmetries of the given figure, assuming that o is the center of rectangle…

Q: Considered that the function f(x) = x.ex Find the first three nonzero terms in Maclaurin series ii.…

A: This question related to maclaurin series from real analysis.

Q: PROBLEM NO. 5 GIVEN: 9 3 -6 60] A: b= -2 -4 8 4 USING LU FACTORIZATION (ROW OPERATION), DETERMINE…

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Q: Q17) Evaluate L (2 e-2t sin4t :-0.5 cos3t): B (5+2)2+16 2s2+18 b) 8 (5-2)2+16 252418 c) (s+2)2+16…

A: Some Laplace transform properties…

Q: Draw the following Polar Curves:- 1. r= a cose

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

Q: suitte (b) Given two groups (G,) and (H, *). Suppose that is a homomorphism of G onto H. For BH and…

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Q: determine whether the limits of the following sequences exist. if the limit exists, find it

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Q: Solve for z in the equation 2-5j z+j+1 2= +3j 2z-j A) 0.2 + 0.1 j B) -0.2 + 0.1 j C) 0.2-0.1j D)…

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Q: Obtain a numerical solution of the differential equation = 3y - x in dy dx the rang 1.0(0.1) 1.5…

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Q: 2y 7. Consider the lines : x+1 5 = 2z - 6 and m: x=-1+10t, y = 7t, z=2+t. 7 1. Determine if I and m…

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Q: 1. DETAILS 00 Which of the following function has the Macularin series (-1)"4"x²n n=0 1 1 A. B. 4-x²…

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Q: ng, parallel. or skew. ntaining both lines and m. h and a normal vector of lar to any normal vector…

A: The symmetric equation of l is x+15=y72=z-312 From the symmetric equation of l, we see that a…

Q: Show that the function Lan f(x) = x³ +e³x has exactly one real root. First of all, by the…

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Q: If f & R[a, b], then f is not continuous on [a, b]. If each fn is differentiable on [a, b] and fn ⇒…

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Q: Suppose the control problem is The Hamiltonian function will be given by Maximize √ (y + 4u)dt…

A: As per the question we are given a optimal control problem, where we have to find the Hamiltonian…

Q: Si Units of the quantity Si Units of the quantity a are kg e are kg m³ s² -2 SI Units of the…

A: This is a problem of SI units, and finite math.

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Q: Determine whether the differential equation (7x² - 2xy + 8) dx + (2y² = x² + 7) dy = 0 is exact. If…

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Q: A car drived 50 km on a bearing of 125°. If its position is defined in terms of Cartesian…

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Q: c) W (f(x), g(x), h(x)) = 0 Q2) L-1 a)-2coshnt b)-2sinhnt c)-2cosnt d)-2sinnt Integrating factor…

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Q: 8 c) f(t) = e+e-2t d)f(t) = -est+=e²t 8 Q23) The kernel of the Laplace transform of f(t),t> 0, is:…

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Q: Find the Fourier transform of ƒ (t) = 2 for -T≤t≤0 2 for 0 ≤ t ≤T

A: We have to solve given problems:

Q: (d) Find the cosets of the quotient group (5)/(10), and determine its order.

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Q: A new flag pole for a school campus measured 25 2/3 feet. It was put 4 1/2 feet into the ground and…

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Q: (b) Given two groups (G,) and (H, +). Suppose that is a homomorphism of G onto H. For BH and A:{g…

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Q: 16. Find the nth term of the quadratic sequence 9, 18, 33, 54, 81

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Q: (z-4)² y² 2²- 3x² = 1. Let S be the quadric surface with equation 4 3 1. Give an equation of the…

A: We know that the traces of a quadric surface are the curves representing the intersection of the…

Q: 1. Consider the following table which summarized the Average Hourly Wage for Indigenous Populations…

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Q: Suppose f(x,y)=xe. At the point (2,0), in what direction is the directional derivative maximized?

A: Use the given information.

Q: b.) √4-1²-² √3x²+3y² TEN nates. z dz dy dx from Cartesian coordinates to spherical coordi-

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Q: (a) Find the period of y = f(x). (b) What type of function is y = f(x)? Choose between odd, even or…

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Q: Activity S As your heart beats, it fills with blood and then pushes the blood out to the body, and…

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Q: With m = 4 and n = 15, approximate the volume under the graph of g(x, y) = (x³y + 1) y² on the…

A: Solution

Q: Consider the following linear programming problem: Max 3A + 3B S.A. 2A + 4B ≤ 12 6A + 4B ≤ 24 A, B≥…

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Q: Find the flux of the vector field F = [x,y,z] through the oriented surface S: z= x^2 + y^2, z <= 1…

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Q: 1. (4 ×6 x) +6 2 = 1 2. (3 x6 x) +65 = 1

A: These are the problems of the theory of congruence.

Q: Example: Test the following series converges. a. { In ( n + 12 ) n+2 M=1 or not

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Q: t tantln(t² + 1) nts on C where the tangen

A: Given that C be x=t(t2+1)-12y=2t-2tan-1t-lnt2+1, t∈[-3,3] therefore, dxdt=1t2+1-122t2(t2+1)-32…

Q: in fuzzy graph What is the fuzzy forests ? And give an examples

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Q: The nonlinear equation x² + x³ − 1 = 0 has a solution z € [0.8; 1.0]. Choose an initial…

A: Newton-Raphson method uses the formula: xn+1=xn-f(xn)f'(xn) to approximate the root of the equation:…

Q: I. Let C₁ be the unit circle, C₂ be the polar curve with polar equation r = 2 cos 30, and points A…

A: As per the question we are given two polar curves : C1 : unit circle i.e. r = 1 C2 : r = 2cos(3θ)…

Q: Compute the least-squares error associated with the least-squares solution % of Ax = b. 1 2 40 - 1 1…

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Q: he circle graph shows a breakdown of spending for the average household using 365 days worked as a…

A: We find required percentage by using appropriate formula.

Q: 10. A shop sells 15 kinds of doughnuts, among them are plain, choco-filled, and strawberry-filled.…

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