What are the two things we need to show in order to prove that (S,*) is a mathematical system?

Q: ne tool used to study refraction is a glass or acrylic prism. Two of the prisms more commonly used…

A: Note:- since you ask multiple question as per our policy we can first question for you  Here…

Q: (i) By applying appropriate elementary row operations, transform the matrix 1-4 0 2 0 12 1 2 -1 48…

A: Multiple questions-"As per our guidelines we are suppose to answer only one question.Kindly re-post…

Q: Given: A,, C,and D are collinear in that order and AB = CD. Prove: AC = BD Statements Reasons 1. A,…

A: --- Given: A, C,and D are collinear in that order and AB = CD. Prove: AC = BD

Q: Additional Activities (-2.39) (14) 32 14 8 8/8 20 10 2889 10 (2.71 3 B. Locate and classify the…

A: Explanation of the answer is as follows

Q: Use the following matrices to perform the indicated operation, when possible. (If not possible,…

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Q: 5) 7) -3x²y -ух 6) бать". бьз 6ba3 3xys 8) −5x'y* . -6x²y

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

Q: U A survey was taken that asked 1130 randomly selected adults from Country A and Country B to agree…

A: We have to decide the number of people from the given Venn diagram.

Q: On Monday, Harold picked up six donuts and three large coffees for the office staff. He paid $6.03.…

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Q: The present value of an annuity-certain of 1 p.a. payable for an exact number of years at a given…

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Q: Find the area of the triangle below. Carry your intermediate computations to at least four decimal…

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Q: Find the image of (−3, 7)(−3, 7) after a 90°90° rotation counterclockwise about the origin.

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Q: Question 3: Factor the following expression 9x³y² - 25x³

A: We will factor the given expression in the following step.

Q: Let (G,*) be a group such that a² = e for all a E G. Show that G is commutative.

A: A detailed solution is given below.

Q: The number of milligrams D (h) of a drug in a patient's bloodstream h hours after the drug is…

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Q: The matrix has two distinct eigenvalues with X₁ < A₂. The smaller eigenvalue X₁ = The larger…

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Q: Draw Venn diagram for each the following: (i) AUB when A C B. (ii) AUB when A and B are disjoint…

A: Q 8  Draw Venn diagram in following cases

Q: Identify the functions on the following set of ordered pairs. A = {(1, 2), (2, 3), (3, 4), (4, 5)) B…

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Q: Let A be a 3 x 3 diagonalizable matrix whose eigenvalues are X₁ = -2, A₂ = 3, and A3 = 4. If V₁ = [1…

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Q: Consider this pair of functions f(x) = +₂+1 and g(x) = -x +4. x+2 a) Complete the table: -10 -4 -6…

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Q: A sandbox has the dimensions 1.2 m by 1.5 m with a height of 0.3 m. While remodelling their…

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Q: (x-2y) dx + 2(y- x) dy = 0

A: Given problem:- Solve (x - 2y)dx + 2(y - x)dy = 0

Q: 1. Which graph does not represent y as a function of x? infor A) I only B) II only ماید ... C) III…

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

Q: (b)(i) Use Gaussian Elimination and back substitution to solve the following system of linear…

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Q: Find, if possible, AB and BA. (If not possible, enter IMPOSSIBLE in any single cell.) -1 2 A =…

A: A=-12-21, B=2123AB=-12-21*2123AB=-1· 2  -1· 1     -1· 2     -1· 32· 22· 12· 22· 3-2· 2   -2· 1-2·…

Q: Find an equation of a parabola satisfying the given information. Focus (9, 1), directrix x= - 10 An…

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Q: Find x such that the 2x2 matrix A below is equal to its own inverse. Show solutions. 3 X A = [ -2 -3…

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Q: e minimum number of x-intercepts that a polynomial of degree 11 can have? Explain. C……. mum number…

A: Topic:- function

Q: Zora saved 3/20 of her paycheck and to that she added $25.30. If the total that went into her…

A: Suppose Zora has paycheck x, Out of x she shaved 3/20, that is she saved 3x/20. And she add $25.30…

Q: Let X and y be two real numbers different from zero. Simplifying the expression 2xy ( - x2y) +…

A: To simplify the expression.

Q: > Question 21 A population of 770,000 microbes increases at the continuous rate of 12.6% per day.…

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Q: True or False? 1) a consistent system of linear equations can have an infinite number of solutions…

A: We have to find out the correct statement

Q: Abe can paint the room in 15 hours, Bea can paint 50% faster than Abe, and Coe can paint twice as…

A: Abe can paint the room in 15 hours, Bea can paint 50% faster than Abe, and Coe can paint twice as…

Q: The number of milligrams D (h) of a drug in a patient's bloodstream h hours after the drug is…

A:

Q: 4. In a women's professional tennis tournament, the money a player wins depends on her finishing…

A: To write a rule which calculates the actual prize money won by nth player.

Q: car leaves San Francisco going 55mph. A second car follows the first an hour later, traveling at…

A: Given query is to find the time when second car catchws with first car.

Q: True or False? 1) if a square matrix B is obtained from A by interchanging two rows, the det(B) =…

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Q: (a³ tab² - b) da + (b3 + a²b-a) db = 0

A: We have to find out the solution

Q: Fill in the missing values to make the equations true. (a) log₂ 7 – log₂ 5 = log₂ = (b) log, 7 +…

A: We know that, 1) loga (mn)=loga m + loga n 2) loga (m/n)=loga m - loga n 3) loga (mn) =n loga m

Q: 3.3 Subtract (6x²-5xy+1 8.4 Expand and simplify a) (X-7)²-(X+7)² 5 Factorise the follow a) 2x(a-2b)-

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Q: In a study on the speed of muscle contraction in a certain species of frogs under various loads,…

A: As x increases the function of the form 1x tends to zero, i.e. 1x values moves closer and closer to…

Q: A company manufactures microchips. Use the revenue function R(x) = x(73-5x) and the cost function…

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Q: Which number is between √50 and 5π/2? A. 22/3 B.2√8 C. 6 D. π + 3

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Q: Question 3: Factor the following expression 9x³y² - 25x³

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Q: An employment agency specializing in temporary construction helps pay heavy equipment operators $133…

A: Topic:- algebra

Q: (a) In each case decide if the linear system of equations has a unique solution, no solution, or…

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Q: The formula is x = sy2/z3, with s representing the constant variation where x = 8 when y = 6 and z =…

A: We can find the value of x as below.

Q: Determine the values of k such that the linear system below is inconsistent. {show solution} kx + y…

A: The given problem is solved beow in detail.

Q: Consider a triangle ABC like the one below. Suppose that a=66, b=57, and c= 33. (The figure is not…

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Q: 1. Find the range of the following: c.) 3.2, 2.8, 6.1, 0.4 d.) -14, +15, -15, 0, +12, -16, +11

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Q: 7. A table of values for the exponential function f is shown below. X f(x) 140,000 1 2 143,850 3…

A: Since the student has posted multiple questions and does not mention any specific question, so we…