Use properties of logarithms to rewrite the given expression as a single logarithm of its coefficient log(x) + 2log(y) - 4log(z)

Q: Let P₂ denote the vector space of polynomials of degree up to 2. Which of the following subsets of…

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Q: 1 -1 2 3 10 -2 -1 6 1

A: Given data

Q: 4. (a) p(A) = (d) p(A): - Let p(x) = 2x² − 3x + 4 and A = 0 (3 (e) None of these 9 6 0 13 9 0 2 13…

A: Given,  and .For find p(A) put x=A in p(x).

Q: The graph below shows a transformation of y = 2º. -D -4 -3 y = -2 5 4 3 2 7 -2- -3 -4 1 2 4 Write an…

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Q: Below is the graph of y = 4*. Translate it to become the graph of y = 4*¯¹ -2. 6

A: Below is the graph of .To translate it to become the graph of .

Q: Find the accumulated value of an investment of $20,000 for 3 years at an interest rate of 1.25% if…

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Q: A lawnmower manufacturer has a unit cost of $140 and wishes to achieve a margin of 30% based on…

A: A lawnmower manufacturer has a unit cost of $140 and wishes to achieve a margin of 30% basedon…

Q: A bank teller has 53 $20 and $10 bills in her cash drawer. The value of the bills is $660. How many…

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Q: A planetary body moves along a path modeled by the function f(x) = x² + 3x - 18. This path is laid…

A: Given that a planetary body moves along a path modeled by the function This path is laid over a…

Q: Let A be a 2 by 6, B be a 6 by 6 and C be a 6 by 2 matrix. Determine the size of the following…

A: According to Bartleby guidelines we supposed to do the first three sub parts of multiple sub parts…

Q: ew Policies Current Attempt in Progress The inequality 10 ≤ q can be solved by performing a single…

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Q: 80. Height of a Thrown Object. The function S(t) = -161² + 32t + 1920 gives the height S, in feet,…

A: Given graph of

Q: Let S = {0, 1}. List all the strings of length 4 over S that contain three or more 1's. (Enter your…

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Q: 45. Performance Task A pumpkin is launched from the ground into the air and lands 4.5 s later. Max.…

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Q: Use the slope-intercept form, y = mx + b, to write the equation of the line satisfying the given…

A: To find the equation of the line from graph.Given points, (5,-3), (0,3).

Q: Describe a function g(x) in terms of f(x) if the graph of g is obtained by vertically stretching f…

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Q: Let A be a 2 x 2 matrix and a be a real number. Prove that det(a. A)=a² det(A)

A: Let A be a  matrix and  be a real number. To prove that,

Q: X1 x2 x3 X4 || +S +t 5x1 -X1 4x1 -2x1 -6x2 +4x3 +4x4 +x2 +2x3 -5x2 +6x3 +6x4 +2x₂ +4x3 +4x4 = 10 =…

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Q: Find the inverse of the matrix A if it exist 1 0 1 011 1 1 0 A =

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Q: For the following matrix, one of the eigenvalues is repeated. A₁ = ( 16 16 16 -9-8, (a) What is the…

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Q: 3.- Prove the following statement: If the vectors c and d are solutions of the homogeneous linear…

A: Given the statement,If the vectors  and  are solutions of the homogeneous linear system , then  is…

Q: n 2i is a root of polynomial, P(x) = x³ + 3x² + 4x + 12, find the rema s and write in factored form.…

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Q: 10. You read 6 pages every 15 minutes. Your friend reads 8 pages every 18 minutes. Graph each…

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Q: 10) 11) 1+- X 7+x=2y Explain if No. Explain if No.

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Q: Week 9; Lesson 4-4: Polynomial Functions, Graphs and Composition Lab Assessment Active Which of the…

A: If the vertical line intersects a graph more than once, then the graph does not represent a…

Q: What would be the next number in the following series? 2. 5. 7. 12... 19...? 29 O 31 O 33 O 37

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Q: The graphs of two functions and g are shown below. Suppose the function h is defined as h(z) = a.…

A: We have to find the vertical intercept, roots and asymptotes for the function h(x).

Q: (a) Find the inverse of the matrix A. A- (b) Use your answer from (a) to find the solutions to the…

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Q: Write an equation for the transformed logarithm shown below, that passes through (0,0) and (2,-3).…

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Q: Suppose $50,000 is divided into two bank accounts. One account pays 4% simple interest per year and…

A: Total amount=$50000Rate of interest are 4% and 6.4%Time, t=5 yearsTotal Simple Interest=$12000

Q: Find the equation for the roots -4 and 4. Ox2+8x+16=0 O x² +16=0 Ox²-16-0 Ox²-8x+ 16 = 0

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Q: 4 2 FBC+FBD-981 3 = 0 2 -FB 3 4 FBC+FBD = 0

A: In this question, we will solve the  given equation.

Q: Determine a possible Cubic function f(x) such that f(x)=( when X2 -2-√67 and 1=1<x< 9 -2 + √67…

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Q: A freelance artist is paid $3,520 for a contracted job. The money is invested in a savings account…

A: Paid amount = $3520Rate = 3.05 %Time = 6 months = 1/2 years Compunded monthly Formula for compounded…

Q: Then where a = 812 = a13 = A = 1 2 -9 6 5 812 49 821 823 831 , 821 = ,a22 = , 23 = , 831 =

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Q: Find a degree 3 polynomial with real coefficients having zeros 1 and 2 - 2i and a lead coefficient…

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Q: Solve the problem. 27) Suppose that sales of a particular brand of appliance satisfy the…

A: Given, sales of a particular brand of appliance satisfy the relationship of y = 80x+ 4900.Where y…

Q: Problem #3: Solve for the matrix A in the following equation. (4² +21)-¹ = 10 -2 @[1][7][3][4][3]…

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Q: The average value of a function f(x, y, z) over a solid region E is defined to be 1 VID 116 where…

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Q: a) f(x, y, z) = 0 b) f(x, y, z) = 1 c) f(x, y, z) = (y + 2, z)

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Q: Represent the ratio relationship using a graph. abgal obie sal nabiny 20 Distance (miles) Fuel…

A: Since you are asking multiple questions. We are answering only the very first asked question as per…

Q: The Family Fine Arts Center charges $22 per adull and $11 per senior citizen for its performances.…

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Q: The polynomial function A(t)=0.0034721-0.03742+0.1013t+0.006 gives the approximate blood alcohol…

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Q: MP.4 Model with Math When Mary was born, she weighed 8 pounds. When she was 10 years old, she…

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Q: The rectangle below represents one whole. What percent of the rectangle is shaded?

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Q: Solve the system of linear equations (a) Suppose the coefficient matrix is A = matrices. []- 1 Find…

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Q: Explain the possible ways to build a function of degree n.

A: In mathematics, a function of degree n typically refers to a polynomial function of degree n.…

Q: In the first step, when you assumed the equation of the plane is az+by+cz=1 where did the 1 come…

A: Let the equation of the plane is .

Q: Let x = a 2 + √a²-b² 2 + a √a²-b² where a, b e R and a ≥ b ≥ 0. (a) By finding x², prove that x =…

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Q: A cylindrical gasoline tank is placed so that the axis of the cylinder is horizontal. Find the fluid…

A: Given, a cylindrical gasoline tank is placed so that the axis of the cylinder is horizontal. We have…