Which of these are equivalent to log(7x) + log(6x)? Select all that apply. log(42x²) log(13x) 2 log(42x) □ log(42) + log(x²) log(42) + 2log(x) log(42x)

Q: Given the function f, a) determine the first derivative f', b) solve for the critical number/ (if…

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Q: Consider the following table of values. X f(x) -4 -2 0 0 6 4 Use the table of values of the…

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Q: Evaluate the following. 1 a) log√3 b) log² √b

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Q: 2^{4x-4}=5^{5x-6}, solve for x and please show work.

A: Given; 24x-4=55x-6   ....1   As we know from the logarithmic rule; logaxb=b·logax, where x,a>0…

Q: 15. What are the x-intercepts of the equation y = x² + x - 20? O4 and -5 O 10 and -2 O-20 O-4 and 5

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Q: 8. Simplify the following expression using the change-of-base formula: log27 729. ○ 2 O 01 0 3

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Q: (a) 2x 6 2005x3 + X = x-3 x-3 6 2x = x+3x+3 (b) 2--

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Q: Simplify. 16 3 4

A: We need to simplify the following expression 1634

Q: The circle graph shows how much revenue a publisher gets for different types of publications. Use…

A: In this question we have to find the percentage of choosen colours by students.

Q: The circle graph shows how the annual budget for a company is divided by department. Use this graph…

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Q: 24. Find a basis for the eigenspace corresponding to each listed eigenvalue. [10 -9 (a) A = [20 , A…

A: To find the eigenspace of the given matrices for the given eigenvalues.

Q: Given: A = {1, 2, {2}} Which of the following statements are true? a.1 € A b. {1} € A c. {1} ≤ A d.…

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Q: A company invests $13,000 to produce a product that will sell for $53.60. Each unit costs $9.15 to…

A: Here we will solve (a) and (b) step by step,

Q: Let u=(1,−1,2)u=(1,−1,2) and v=(1,0,1)v=(1,0,1). a) Find a unit vector that is orthogonal to both…

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Q: Given f(x)=√x-5; x+5 and g(x)=x+3. Find the domain of (g • ƒ)(x)?

A: Given

Q: Solve the system of linear equations and check any solutions algebraically. (If there is no…

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Q: Show complete and orderly solutions. Enclose final answers. 1.Express each in terms of i: (√32 +…

A: Given

Q: 1 1 (c) 1 1 1 Lo 0 1 32 2 1 -2,

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Q: Assessment task 4.1 Graphs, Euler circuits, Hamiltonian circ Question 4 of 10 Determine whether the…

A: We need to show if graph are equivalent or not.

Q: Multiply. (4√10+2)(√6-3) Simplify your answer as much as possible.

A: We can multiply and simplify the answer as below.

Q: For each sum or product, determine whether the result is a rational number or an irrational number.…

A: Consider

Q: Find the domain and range of the function graphed below. y 4.5 453525 3.5 3 2.5 1.5 1 0.5 -0.5 1 50…

A: Given problem:-

Q: Does the vectors v1 = (-3, 7) and v2 = (5, 5) form a basis for R2?

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Q: Malinda bought $4,000 worth of sport bicycle. The down payment was $1,000. Then balance was financed…

A: This is a problem of simple interest calculation. Formula for calculating simple interest is, SI =…

Q: (a) If M is inversely proportional to 7√t and M = 161 when t = 16, find an equation to represent…

A: M is inversely proportional to 7√t

Q: 3. a) Solve the following using Gauss elimination: x₁ + x₂ + x3 = 2 2x₁ + 3x₂ + 4x3 = 3 X₁ - 2x₂x3 =…

A: Answer is in below steps.

Q: 5) a₁ = -8, a = -48, n = 6 A) -336 B) -1344 C) -672 D) -168

A:

Q: (4) Evaluate the following 36 (b) (√900)³ -8y05 (c) 4y9t11 (d) Add 5x² - 7x + 3, -8x² +2x-6 and…

A: To find the values of the given expression in simplified form.

Q: Linear Algebra 4. For the vector u = (2, 7, -1, 20) and vector v = (3, -1, 9, -10): a. Find the…

A: Given query is to find the dot product of uv and length of u+v.

Q: For   u = (2, -4, 5, -2)   v = (1, -1, -2, -2)   w = (-2, 4, 2, -5)   Which of the following…

A:

Q: The figure below shows the vector A and vector B, draw the resultant vector - A + B. (The tail of…

A: Here, from the given vectors A and B the resulting vector -A+B is:

Q: If A₁ = [a, b₁ [d₁ e₁ fi 3 real numbers, show that: 9. (A₁ + A₂) + A3 = A₁ + (A₂ + A3) 10. (k+h) A₁…

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Q: In which of the following sets is subtraction a binary operation? *

A: answer is in next step

Q: Exercises 103 and 104 : Use f(x) to complete the table. 103. f(x) = 4x X 0 2 4 6 f¹(x)

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Q: A company has 15 employees with a salary of $20,800, 11 employees with a salary of $24,200, 18…

A: We can find the mean salary of the employees as below.

Q: 20. What is the domain value of the sequence an = 8n + 3 if the range value is 51? 06 8 O 58 51

A: Given,  an = 8n + 3 Range Value = 51

Q: (a) Find the domain of f(x). Ⓡ O x is all real numbers except x = -4. O x is all real numbers except…

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Q: 6. Suppose T: R² R² is a linear transformation such that ¹(B)-1(B)-1) T and T Find 7 ([^]). T

A: A detailed solution is given below

Q: An artifact originally had 16 grams of carbon-14 present. The decay model A = 16 e -0.0001211…

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Q: Write the first six terms of the arithmetic sequence shown below. anan-1-19, a₁ = 33 ***

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Q: Solve for X in the equation, where -4 5 4 A = [ Jar and B = [ -5 0 3 X = 3A 2B - X = 11 05-5 20 2

A: Find  X=3A-2B

Q: Choose the correctly simplified form of this expression: t²-2t-3 t²-16 t²+t-12 4t+4 (t-3) (t+1) t-4…

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Q: en choose the appro rate (a) - 10 + VII 11 (b)-√√15 (c) (d) + √7 17 x 11.65 38 x 2 Result is…

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Q: F = (x + y2)i + 5xуј + z²k A. 3yk В. Зуј с. Зуі D. 3zj E. 3zk F. 3xk G. 3хуј H. None of the above…

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Q: 2х + 5y 3x + 9y -1 -3

A: answer is in next step

Q: How many integers greater than 120 but less than 540 are divisible by 5?

A: Given Problem:- How many integers greater than 120 but less than 540 are divisible by 5?

Q: 2. Simplify the following expression using the change-of-base formula: log₁2 7. Round to the nearest…

A: We can simplify the expression as below using change of base formula.

Q: A company invests $13,000 to produce a product that will sell for $53.60. Each unit costs $9.15 to…

A:

Q: 3. Solve the linear system below a + 2b − c +4d = 6 -a - 4b + 2c + 2d = 4 2a + 2b − c + 2d = 4 a +…

A: Let us write the Augmented  matrix 12-146-1-422422-12412104

Q: Find the real solutions, if any, of the following equation. Use the quadratic formula. x² - 6x-5=0…

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