Use the properties of the logarithms to expand the following expression as much as possible. Simplify any numerical expressions that can be evaluated without a calculator. logo (36x²)

Q: Suppose a system of three equations has the solution (3z-2, 13-4z, z). How many solutions does the…

A: The system of three equation has the solution 3z-2, 13-4z, z. We have to find the number of…

Q: Compare and contrast the following polynomials: x² 18x + 81 24 - 18x² +81 Factor ² 18x + 81. Make a…

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Q: Write in simplified radical form. √20m² - m√45

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Q: Find the distance from the point (-4, -1, -1) to the plane 3x − y + 5z = 7.

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Q: Over the past few years, the number of high school students has risen by 2.8% per year. If this…

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Q: Question 4 ↑ 16 5 4 3 2 24 -1 -2, 3 -4 -5 2 y= Enter abs(x) for |x| > Write an equation for the…

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Q: Find a unit vector u with the same direction as the given vector v. Use the square root symbol ''…

A: To find out the unit vector u with the same direction as the given vector.

Q: What is the common difference in this recursive definition? a1=4/5 an=an-1+3/2

A: The common difference is the difference between any two consecutive terms of the arithmetic…

Q: 1. Use the laws of logarithms to express Log (√√x³y²z-6) in terms of log x, logy, and log z.

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Q: Find the common ratio r for the geometric sequence and user to find the next three terms. 1. -5, 20,…

A: Given: -5, 20, -80, 320, ...

Q: Given f(x) = x², after performing the following transformations: shift upward 24 units and shift 69…

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Q: Find the average rate of change of g(x) = 4x³ - 5 from X = -2 to x = 2

A: g(x)=4x3-5from x=-2 to x=2formula for  average rate of change=g(b)-g(a)b-a

Q: amber the to support your explanation. 4. Adam has made up his own method of rounding. Starting at…

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Q: Prove the following statement by the method of exhaustion. For each integer n with 1 ≤ n ≤ 4, (n +…

A: We need to Prove the Given statement using Method of exhaustion.

Q: Problems 1-16 are about the laws of matrix multiplication. A is 3 by 5, B is 5 by 3, C is 5 by 1,…

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Q: -1 6 1 -1 1 -1 1 2 0 Does the inverse of the matrix exist? If so write the inverse.

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Q: Problems 1-16 are about the laws of matrix multiplication. A is 3 by 5, B is 5 by 3, C is 5 by 1,…

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Q: Practice 2.13: Solving Systems Algebraically For problems 1-5, solve each system of equations…

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: -8x + 12x + 3x= -77

A: given  -8x+12x+3x=-77

Q: domain,

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Q: A contractor needs to buy nails to build a house. The nails come in small boxes and large boxes.…

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Q: Write in simplified radical form. 7√−180s¹4t7

A: To simplify the given radical expression

Q: 4) Function: *²+1 x-2 1. Find all vertical asymptotes of f(x): X=2 2. Find any horizontal asymptotes…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: 26. g(n)-2 (3n-1) (2n + 1)

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Q: 9y = 108

A: To solve for the variable y

Q: Write in simplified radical form. √5-4 √3-8

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Q: 2 11 9 49 Does the inverse of the matrix exist? If so write the inverse

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Q: Let C be the cost function. C'(x) = 3600 + 100x + 2x² (in blue) and let R be the revenue function,…

A: INTRODUCTION  Equating functions means setting two functions equal to each other. This is typically…

Q: For the statement Q→P, identify the Inverse, Converse, Contrapositive and original statement. - Q-P…

A: According to question,Given statement,Q→P

Q: Larry purchased a new combine that cost $220,500, minus a rebate of $3,500, a trade-in of $9,500,…

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Q: Determine the slope of the line. Write your answer in exact, simplified form. -प +3 fo M N. -3

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Q: 53. Use the given graphs of f and g to evaluate each expression, or explain why it is undefined. (a)…

A: From the graph we observe that g(2)=5f(5)=4f(0)=0g(0)=3f(6)=6g(6)=undefined

Q: How do you simplify i with an exponent. For example: i^18 or i^44?

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Q: If a box of 100 gloves cost $7.73, how much does each glove cost?

A: According to question,Given data,Cost of 100 gloves = $7.73

Q: T2. Which of the following functions has a range, restriction? Of(x) Of(x) - 2(x + 3)³ Of(x) = (x -…

A: Introduction: The range of a function is the complete set of all possible resulting values of the…

Q: (a) Write the equation in slope-intercept form, and determine the slope and y-intercept (b) Graph…

A: Introduction: The slope intercept form of a straight line is one of the most common forms used to…

Q: Challenge A bag contains pennies, nickels, dimes, and quarters. There are 50 coins in all. Of the…

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Q: Write in simplified radical form. √20m² - m√45

A: f(m)=20m2-m45

Q: -2- 0 --2- 2 The graph of the inequality is shown above.

A: We can find the inequality by this graph as given below method.

Q: mn A 1. 2 3. (3.0) dilated by scale factor of 1/3 (34) dilated by scale factor of 1/3 scale factor…

A: Dilated means you have to multiply that number with each coordinates.

Q: Given the system of inequalities below, determine the shape of the feasible region and find the…

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Q: Find the number of bikes supplied from each supplier to each store that minimizes shipping costs.…

A: Let x be number of bikes supplied by A to Edmond Let y be number of bikes supplied byA to Altus…

Q: Consider the parabola given by the equation: ƒ(x) = 2x² + 4x − 9 Find the following for this…

A: Given equation:- fx=2x2+4x-9

Q: The wrong question was answere

A: Graph of the absolute value function is given, we have to find its equation.

Q: te a function in any form that would match the graph shown below. -10 -8 -6 -4 -2 10 8 6 -2 -8 y 2 4…

A: Given query is to find the equation of the function.

Q: Solve the linear programming problem. 3x₁ + 4x₂ X₁ + X₂ ≥ 3 -X1 + 5X2 ≤ 17 X₁, X₂ ≥ 0 Maximize…

A: To Maximize 3x1 + 4x2 subject to3, x1 + x2 >= 3 - x1 + 5x2 <= 17 x1, x2 >= 0

Q: Multiply 8 + 3√5 and it's conjugate.

A: INTRODUCTION The concept of a conjugate also applies to irrational expressions, such as square roots…

Q: = Convert the following numbers using the following: 1 hr 60 min, 1 min = 60 s, 1000 m 1 km, 1.6 km…

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Q: In 1998 the population of a town was a perfect square. Ten years later, after an increase of 150…

A: Find how many people lived in the town in 1998 , 2008 and 2018.

Q: Suppose an antique clock is expected to be worth $300 after 2 years and $580 after 6 years. What…

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