In mathematics, we simplify expressions to make it more simpler in context. For example, the mathematical sentence "6+1+3" is just the same as 10. This definition of "simpler" refers to?

Q: log:(2x + 6)-log₂x = 3

A: 1. logax- logay= loga(xy) 2. If logax =y then x=ay

Q: m: Y-Y₁ = m(x-x₁₂)

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Q: 18. A = 1 1 -1 5 1 -1 -2

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Q: Let R be a relation on A = {4, 6, 7, 8} and R = {(4,8), (6, 6), (4, 4), (4, 7), (7,4), (7, 7),…

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Q: Evaluate x ds, where C is = t. y = =t, y=-. from (0,0) to (24,6) b. the parabolic curve x=t, y =…

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Q: Rewrite in the form 6x³-14x² +21 2x - 2 6x³14x² +21 2x - 2 q(x) + 2x - 2 r(x) 2x - 2

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Q: 8. 38x₁ + 5x₂ = 3 12x1 + 58x₂= 2

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Q: Using the Laplace transform, solve: y' +9y=r(t), y(0) = 0, y(0) = 7, where r(t) = 8 sint if 0 n.…

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Q: Given the matrix A = (a) find a basis for the null space of A, (b) find a basis for the row space of…

A: a) 1-135-4-47-62 Let's find the reduced row echelon form of the matrix.…

Q: On a certain hot​ summer's day, 413 people used the public swimming pool. The daily prices are…

A: Total number of people used the public swimming pool = 413 The daily price for children = $1.25 The…

Q: Order of operations with inte luate 25-: (-5)-5

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Q: Find the minimum payment on an unpaid balance of $1,346.49. Assume that the minimum payment on a…

A: Given :- unpaid balance =$1346.49

Q: The 6th term of an AP is 3 and the 23rd term is 54. Find the 35th term.

A: given 6th term of AP is 3 23rd term is 54formula for nth term is an=a+(n-1)dwhere a is first term…

Q: Let ủ = (–6, 6, 9) and (−6, 6, 9) and 7 = (1, 7, −3). Determine whether the statement is True or…

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Q: √192,4 into the simplest radical form A√C, where A and C are either integers or monomials. Assume y…

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Q: Consider the following data and compute the five number summary by hand. 19.69 0.11 11.35 6.55 2.37…

A: we have to find out the minimum, maximum, first quartile, third quartile and median of the given…

Q: What is the least common multiple of 12 and 16? lcm (12, 16) = [

A: We can solve this as follows:

Q: Set background Clear frame D 2. Starbucks has faced a growing backlash to the amount of waste…

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Q: Cecil has a paper cup in the shape of a cone, as shown below. What is the volume of Cecil's paper…

A: volume of cone is V=13πr2hwhere r is radius and h is heifht of cone

Q: So If Sonic's Goal Is To Collect 300 Coins. He Already Has 225 Coins From Running Around The Course.…

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Q: Find the quotient and remainder using long division. x³+4x²-7 x + 2 The quotient is The remainder is

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Q: Graph the solution to the following system of inequalities. y≤4x+5 y>-2x+3 -10 -8 -6 4 -2 2 4 6 8 10

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Q: Use the graphs of f and g below to find the indicated compositions. 6 5- 4 3- 2- 1- f 1 2 3 4 5 6 1.…

A: (i) f(g(3))from given graph g(3)=4f(4)=0

Q: Let R be a relation on A = {1, 4, 5, 8} and R = {(1,4), (5, 5), (1, 1), (5, 4), (1, 8), (8, 4),…

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Q: Given A below, find M22. A M22 - = 7 -2 4 Ex: 5 1 5 -7 3 -9 9

A: Given :A=715-2-734-99

Q: The credit card with the transactions described on the right uses the average daily balance method…

A: The given data is:

Q: Find the general solution of the given system. dx dt dy dt (x(t), y(t)) = 5x - y = 25x - 5y

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Q: 6. You come across the following system of equations, in which one of the coefficients is illegible…

A: The answer is in step 2.

Q: f a • 10bt = c , where a, b, and c are positive, then which of the following expressions is equal to…

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Q: Match the function with its graph (labeled I-VI). III (a) f(x, y) = ? v (b) f(x, y) = ? ✓ 02 1+x +y²…

A: a) 1/(1 + x^2 + y^2) Clearly as x and y approaches very small positive or negative values,  we…

Q: Please written by computer source Simplify. Assume (3u^((4)/(3)))^(6) Write your answer

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Q: 52. B = 5 {Q}}~- W 3

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Q: common

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Q: Solve the equations below: x64a² = 0, Find x (a is a real number)

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Q: Use Newton's Method to approximate the zero(s) of the function. Continue the iterations until two…

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Q: the

A: We have to find the increasing and decreasing interval according to the given information

Q: Divide. If there is a remainder, express it in the form (x³ + 11x² +31x+21) = (x + 3) = Question…

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Q: K Find the amount of each payment to be made into a sinking fund earning 7% compounded monthly to…

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Q: 15. Consider a box with dimensions 3 cm x 5 cm x 11 cm. If all of its dimensions are increased by x…

A: Answer: The solution is given below:

Q: 45. Do 000 form a basis for R³?

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Q: Use the table of values for f and g below to find the indicated compositions. I 0 1 2 3 4 5 6 7 8 9…

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Q: Puji paid $7.50 for three pounds of gummy candy. Assuming the cost per pound of gummy candy is…

A: If y is proprtional to x then it is written as:y∝xIntroducing the constant of proportionality k we…

Q: 4 Suppose V = R³ and W = R². Let f: VW be defined by f(x, y, z) = (2x + z, 3y). (a) Find the matrix…

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Q: A line passes through the points (-7, 16) and (14, 4). Write its equation in slope-intercept form.…

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Q: [In(29n)+13no 33n+sin(n) n=1 Consider the sequence Answer the following questions: (i) Does the…

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Q: Find the least common denominator of m -2 x+4 and 3x 2x+8

A: Solving the following problem

Q: Find the ratio in lowest terms of length to width for a rectangle with length 4 and width 6

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Q: X=1- W

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Q: 3. Which expression is equal to O O 1+cot 1—cota cotx 1-cot a cot a 1+cotr 1–cote 1+cot tana-1…

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Q: Question 1: Consider the function f(x) given by: f(x)=√x+3+8. (a) Determine the natural domain of…

A: Solution: f(x)=x+3+8