Without using a calculator, perform the following computations (mod 7). Show all your work, and write your answer as an integer between 0 and 6. (a) 2 (36705) (mod 7) (b) 7000000001 + (70000000027000000068) (mod 7) (c) 3² (mod 7) (d) 3³ (mod 7) (e) 36 (mod 7) (f) 37 (mod 7) (g) 36⁰ (mod 7) (h) (36⁰. 17) + (36.705) (mod 7)

Q: Apply the Gram-Schmidt orthonormalization process to the family of vectors:

A:

Q: 8x-1 (x+1)(x-2) Evaluate the partial fraction decomposition of the expression above

A:

Q: Consider the rational function shown in the graph below. -10 +8 6 4 2 -10 -8 -6 -4 -2/0 -2 -4 --6 -8…

A: The graph of the rational function is:

Q: The graphs of linear functions f and g are shown on the grid. -7-6-5-4-3 6 -1 -2 -3 -5 1 2345 Which…

A:

Q: Evaluate the variable expression when a = 3, b = 5, c = -4, and d = -3. ba number

A: To evaluate the expression for the given values, we substitute the values into the expression and…

Q: Compute the product using the methods below. If a product is undefined, explain why. a. The…

A:

Q: Solve the initial value problem. Give the explicit solution y = = f(x) (y³ - 1)e dx + 3y²(e² + 1)dy…

A: To solve the initial value problem.

Q: -1 R₁ × (1 − q) (R₁ A +w)¹−¹ + R₁ × q(R₁ A+w)¹−¹ = 0

A: To make A the subject.

Q: The numbers 1, 2, 3, 4, and 5 are written on slips of paper, and 2  slips are drawn at random one at…

A: Experiment:  The numbers 1, 2, 3, 4, and 5 are written on slips of paper, and 2 slips are drawn at…

Q: Determine the periodic payments on the given loan or mortgage. HINT [See Example 5.] (Round your…

A: Let's consider the periodic payment A  against a loan P borrowed at interest rate r is given by…

Q: Find the determinant of the matrix. 6-6 3-9

A: Given:

Q: Solve the polynomial inequality and graph the solution set on a real number line. Express the…

A:

Q: The cost of driving a car includes both fixed costs and mileage costs. Assume that it costs $178.40…

A: The cost of driving a car includes both fixed costs and mileage cost Assume that it costs $178.40…

Q: OB. There are no vertical asymptotes. (Type an equation. Use a comma to separate answers as needed.)…

A: The solution is shown in step-2

Q: Suppose you are a manager for a certain company.

A:

Q: Solve the initial-value problem. (Assume the independent variable is x.) y" - 2y' - 3y = 0, y(0) =…

A:

Q: a. In 2000, the population of a country was approximately 6.39 million and by 2060 it is projected…

A:

Q: The table shows points that all lie on the same line. Find the slope-intercept form for the line. X…

A:

Q: The points in the table lie on a line. Find the slope-intercept form of the line. The…

A:

Q: Solve the system. If there is no solution or if there are infinitely many solutions and the system's…

A:

Q: A couple has narrowed down the choice of a name for their new  baby to 4 frst names and 5 middle…

A: To find out the number of first-middle name arrangements possible.

Q: Find the solutions to the system of nonlinear equations given by: (y=-2x-5 { y = y=x²-5 A: B: Use…

A: To find the solutions to the system of non-linear equations given by  y=-2x-5y=x2-5 By using the…

Q: The vector u = (3180, 2850) gives the numbers of hamburgers and hot dogs, respectively, sold at a…

A:

Q: Show that B is the inverse of A. To show that B is the inverse of A, we need to show that AB = I =…

A:

Q: An election ballot asks voters to select two city commissioners from a group of four candidates. In…

A:

Q: Assume the equation of a parabola and a line are given by y = x² + 4x and y=x+4, respectively.…

A: To find out the intersection points of the given parabola and the line.

Q: Astatine-210 is a radioactive substance that decays according to the following function, where yo is…

A: Given: y=y0e-0.0856t       ........(1)

Q: Find the inverse of the matrix, if possible. (If an answer does not exist, enter DNE in any cell of…

A:

Q: Construct a polynomial function with the following properties: fifth degree, 4 is a zero of…

A: To construct a polynomial function with the following properties:  Fifth degree, 4 is a zero of…

Q: give me the amplitude, period, the vertical and phase shift, and the midline of the equation

A:

Q: Find the angle between the vectors. u = (-3, 4), 0 = (Round your answer to two decimal places.) v =…

A:

Q: You invest in a new play. The cost includes an overhead of $31,250, plus production costs of $2500…

A: You invest in a new play. The cost includes an overhead of $31,250, plus production costs $2500 per…

Q: 1. Sonya placed $3,000 in a new savings accoun that earns an annual simple interest rate. After…

A:

Q: Differentiate the function below with respect to x. 10 y = ( − 6 x² + 5 x + 7) ¹ y' =

A: Giveny=(-6x2+5x+7)10

Q: Rearrange the equations to make n the subject.     Equation     n as subject     6m - n = 2n

A: 6m - n = 2n

Q: Which of the following sets of elements are included in the sample space? (Select all that apply.) O…

A:

Q: Plot points between and beyond each x-intercept and vertical asymptote. Find the value of the…

A:

Q: Determine whether u, v and w lie in the same plane when positioned so that their initial points…

A:

Q: Let the region R be the area enclosed by the function f(x) = 2ln(x) and g(x) = x - 2. Find the…

A: We have to observe formula and graph:-

Q: The amount of money invested in a certain account increases according to the following function,…

A:

Q: raina drove to the mountains last weekend.there was heavy traffic on the way there the trip 9…

A:

Q: Find the determinant of the matrix. Expand by cofactors using the row or column that appears to make…

A:

Q: The principal represents an amount of money deposited in a savings account subject to compound…

A:

Q: The two triangles in the diagram are similar. 5 44 6 48 What is the value of x? 30 40 47 O 58

A:

Q: Write the slope-intercept form for the line shown in the graph. The slope-intercept form for the…

A:

Q: Solve for 9(9x+4)-4=2x-4+79x+28

A: The equation is 99x+4-4 = 2x-4+79x+28 To determine: the solution of the equation.

Q: The percent of paper and paperboard recycled from municipal solid waste in a certain town has grown…

A:

Q: Use the graph below to determine the following. 6 5 T 5 $

A: By using the graph to determine the domain of fx, the zeros, and the y-intercept.

Q: 20. for x < -1 Let f(x)=x²+3 for-1<x< 4. 5 for 24 Evaluate: f(3), f(-2), f(-1), f(4) and f(5). -3x+7

A:

Q: Let L₁ be the line defined by the equation ()-() 2 3 + t L₂ be the line through (:)- 4 O a. parallel…

A: The equation of L1⇒xyz=132+t-154