What are the integer solutions of the equation ax +by+cz = d for a, b, c, d = Z? What is the condition to have at least one solution?

Q: Ben is 20 years older than Daniel. Ben and Daniel first met two years ago. Three years ago, Ben was…

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Q: Suppose there is a list of six jokes about marriage and divorce. In how many ways can people select…

A: The objective of this question is to find out the number of ways people can select their two…

Q: Which probability distribution table corresponds with this frequency distribution table?

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Q: 1. Solve the congruence 2. Solve the congruence x² +1=0 mod 13³. x³ - 2x² - 7x + 3 =0 mod 7². 3.…

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Q: At The Green House of Salad, you get a $1 coupon for every 3 salads you buy. What is the least…

A: At The Green House of Salad, you get a $1 coupon for every 3 salads you buy.To find the least number…

Q: 3 If a line worker can install 28 insulators in 18 hours, how many insulators should they be able to…

A: A line worker can install 28 insulators in  hours

Q: Are the vectors u = -3 1-3]. = [-2 3 4] and @= [0 -2 1] linearly independent? Choose If they are…

A: we have given three vectors

Q: Consider the following model of a market for a good, in which Qs is quantity produced, Qd is…

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Q: K Add the polynomials. (5x4y²-x²y² + 12xy) + (-6x4y²-6x²y-11xy) The sum is (Simplify your answer.)

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Q: Write the expression in the standard form a + bi. (-5+ i)(-5-i) (-5+ i)(-5-i) = 26 (Simplify your…

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Q: Solve and reduce the result to lowest fractional terms. Input answer as a fraction, not a decimal.…

A: Marie worked a total of 48 hours.She worked on her first job on,

Q: The angle of depression from the top of a cruise ship to the top of a sailboat is 22°. Sitting above…

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Q: Which model best describes the data set? Construct the function that describes the data.

A: given a set of data. Which model best describes the data set?

Q: Use the remainder theorem to evaluate the following function at x = 3. f(x)= x+3x³ - 17x²+2x - 7 3…

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Q: 29) x-9=√√√5x - 9 A) 18,5 30) √√√x+63 +9=x A) No solution B) No solution B) 1, 18 4 C) C)

A: To find the value of X.

Q: Find the inverse function, g(y), of h(x) g(y) = = x-8 2 = 2x + 8

A: Given that,

Q: 10) Using the properties of logarithms, expand the logarithmic expression as much as possible: 4x5 (…

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Q: The probability distribution table shows the proportion of people living in the five different…

A: Total residents in the city      = 24,200Probability of Central region  = 0.44To find:The number of…

Q: Let A be the matrix below and define a transformation T:R³ R³ by T(U)=AU. For the vector B below,…

A: Given aT IS Alinear transformation such that T(U)=AUWe are given a matrix A and we have to find a…

Q: In how many ways can a committee of five Democrats and six Republicans be formed from a group of…

A: The objective of this question is to find the number of ways a committee can be formed from a group…

Q: Find a formula for s in terms of t if of t, and s = 117 when t = 50. NOTE: Round the value for the…

A: To find the value of proportional constant.

Q: The logistic growth function f(t) = 112,000 1+5700e describes the number of people, f(t), who have…

A: Given the logistics function, we will find the value of the  given three parts.

Q: Consider the supply function Q=f(P) defined by 2Q-10P=20. How much will be suplied when P=2. a. 10…

A: The objective of the question is to find the quantity supplied (Q) when the price (P) is 2, given…

Q: For the graph of a function y=f(x) shown to the right, find the absolute maximum and the absolute…

A: For the graph of a function  shown below, to find the absolute maximum and the absolute minimum, if…

Q: All vectors and subspaces are in R". Note you only have 5 attempts for this question. Check the true…

A: 1)ans)A. If z is orthogonal to   and  and if W=span(), then z must be in…

Q: Use the coordinate plane to answer problems 1-2. 61Y Q A B₁ -6 -4 -2 D C 4 2 2+ 4 E 6 H 2 4 F X 6 G

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Q: 3 x 2 6x + 5x = 0

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Q: Find the slope of a line that is a. parallel and b. perpendicular to the line with the given…

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Q: Prehistoric cave paintings were discovered in a cave in France. The paint contained 7% of the…

A: Given the exponential decay model for cabon-14                                            where A0 =…

Q: Current Attempt in Progress Let g be the inverse of f. Describe in words the function g. Let T =…

A: Given that g is the inverse of function fLet  give the average time in seconds required for a…

Q: (a) Find the vertex and axis of symmetry of the quadratic function. (b) Determine whether the graph…

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Q: Simplify the expression. Use positive exponents. Assume variables represent nonzero real number 6)…

A: (6)  (7)  (8) (9)  (10)

Q: Write it in five step augmented matrix  -9x-5y=7 -6x-6y=2

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Q: 4. State the domain and range of the inverse of the following function Y = 2√x

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Q: Find a basis for the column space of A = 3 0 0 1 Basis for col(A)= {| 15 3 0 0 2 2 0 0 4 5 -4 -2…

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Q: Evaluate the expression for the given value of the variable. y (5 x 8 36), for y = 28 Answer:

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Q: For the equation given below, complete parts and b. 8x+3y=24 a. Rewrite the given equation in…

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Q: Find the slope of the line passing through the pair of points or state that the slope is undefined.…

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Q: A square of side x has area x². Enter the exact answers in decimal forms, do not use fractions. (a)…

A: since  x be side of square.then Area=x^2

Q: (a) Find the vertex and axis of symmetry of the quadratic function. (b) Determine whether the graph…

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Q: 2. Solve the congruence x³ - 2x² - 7x+3 = 0 mod 7².

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Q: Solve the following system of linear equations by writing its corresponding RREF, and then write its…

A: The system Ax=b is,The augmented matrix is,

Q: What is the end behavior of the polynomial function f(x) = x4 - 3x¹¹? O As x approaches negative…

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Q: Evaluate the factorial expression. 7!(7−3)!

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Q: PS02102 APEROOR 75. Greg assembles units of a certain product at a factory. in Each day he is paid…

A: Payment per unit = $2 for the first 40 units, $2.50 for each additional unit.Greg assembled at least…

Q: Write a formula for y in terms of x if y is proportional to the 5th power of x, and y = 816 when x =…

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Q: Consider a function for quantity supplied, Q = f(P)= -aP+b where Q is quantity and P is price. If…

A: The objective of the question is to determine the slope of the line when the function Q = f(P)=…

Q: Which is the best estimate for the number who bought fewer than 20 items during their trip? Rel f…

A: The histogram shows the number of items that customers bought during a trip to the grocery store one…

Q: Between what two numbers do the middle half of the responses fall? ||||| 40 45 50 55 60 65 70 75 80…

A: We are given a boxplot that summarizes the responses. We have to find  between what two numbers do…

Q: The data set shows the numbers of hours that employees at a certain shop worked in one week.

A: The mean of the data set is: