Evaluate the logarithm using the change-of-base formula. Round your result to three decimal places. log3 (11)

Q: Find the explicit formula for the arithmetic sequence bn given the information below. b1=12 D=42

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Q: Which of the following answers choices is a solution to the differential equation y""6y"+11y6y=0? A…

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Q: Instructions: If y varies inversely as x and y = 2 when x = 8, find y when x = 2. Write the equation…

A: GIVEN :y varies inversely as x

Q: Hrs 5 Jogging 20 Walking 10 Skiing 5 Football 10 Total 50 Sport Soccer Calculate the portion for…

A: here walking portion 10 hour given  total hour = 50 given  percentage = specific portion*100/total…

Q: Solve the system of equations using the graphing or substitution method. State your final answer as…

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Q: 10) Solve for x when 2 log x - log 100 = 2 a) 105 b) 10° c) 10' 10⁰

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Q: 88.

A: As per the instruction, we will be answering the first one. Given:

Q: Suppose the main percentage in algebra is 70% and the standard deviation is 8% What percentage of…

A: Given,  mean value(μ) =70%  standard deviation(σ) = 8%Z=x-μσZ1=62-708=-1Z2=94-708 =3

Q: Given the arithmetic sequence an with a1=−7 and d=−9, find a3. Do not include "a3=" in your answer.…

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Q: Another model for a growth function for a limited population is given by the Gompertz function,…

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Q: Clark's Country Pet Resort is fencing a new play area for dogs. The manager has purchased 198 yd of…

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Q: Determine the slope of the line perpendicular to the line below: -6 O O оо -2/5 5/2 2/5 -5 -5/2 -4…

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Q: Question. 2 Show that Span (x₁,x2,...,x,y) = Span (x₁,x2,...,xn) if and only if y is a linear…

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Q: c-a 2b-a (a, b, c) = -24.

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Q: Suppose you want to purchase a house. Your take-home pay is $2630$⁢ per month, and you wish to stay…

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Q: Consider the following function. (x + 4)(x+6) (x + 5)(x-8)(x+6) (a) State the domain of f(x), using…

A: This question can be solved using the concept of domain, hole and vertical asymptote of a rational…

Q: Given f(x) = 2x² + 1 and g(x) = 8x 9, find the following. (a) f(g(2)) (b) f(g(x)) (c) g(f(x)) (d)…

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Q: Question. 2 Show that Span (x₁,x2,...,x,y) = Span (x₁,x2,...,xn) if and only if y is a linear…

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Q: Example. Consider the vector spaceU33 The orthogonal complement of a C 0 d e la, b, c, d, e, fER. So…

A: U should be written as direct sum of H and H compliment (2) intersection of H and H compliment…

Q: 4x3+6x2-1=0

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Q: Simplify: (2x-3xy)(x-3y)-(x-2xy) Answer is blank x^2 + blank xy+ blank x+ blank x^2 y+ blank xy^2

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Q: A company designed and sells an ultrasonic receiver, which detects sounds unable to be heard by the…

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Q: Complete the two-way relative frequency table from the data presented below. Round all answers to th…

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Q: find all the zeroes x^4–6x^2–7x–6=0

A: Given that, x^4–6x^2–7x–6=0

Q: Which of the following limits meet (or does not meet) the requirements to apply L'hopital's rule.…

A: To determine which of the following limits meet or does not meet the requirements to apply…

Q: 25.07 is divisible by what?

A: IF ANY NUMBER HAS FACTORS MORE THAN TWO THEN IT IS CALLED A COMPOSITE NUMBER.

Q: What is the value of a and b? 2. The model Yn +1 is given by Yn + 1=

A: Given

Q: You deposit $5000 into savings account that earns 0.6% compounded monthly. If you don't any…

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Q: Reduce 74/1517 to lowest terms. Leave your answer as a fraction.

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Q: The weekly cost C of producing x units in a manufacturing process is given by C(x) = 50x + 750. The…

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Q: -3x+y=-17 -x+y=-5 substitution method.

A: Solve the given equation

Q: 2. The first term of an arithmetic sequence is -15 and the fifth term is 13. Find a40.

A: We can find the answer as below.

Q: Rewrite the logarithm as a ratio of common logarithms and natural logarithms. log1/3(4) (a) common…

A: Given log1/3(4)

Q: Solve for X: x^2 + 3x + 5 = 0

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Q: A function y = f(x) is defined and continuous for all x. This function satisfies all of the…

A: It is required to understand the question properly and then graph the function.

Q: Given the geometric sequence cn with c1=45 and r=2/3, find c3.

A: Given problem:- Given the geometric sequence cn with c1=45 and r=2/3, find c3.

Q: 6 a community has 1400 new jobs, these new jobs will bring 2800, for every 4 additional people one…

A: New Jobs = 1400 Population added because of 1400 jobs = 2800 people.…

Q: Determine whether the equation defines y as a function of x. y = 5x² + 4x + 5 Does the equation…

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Q: For the matrix A, find (if possible) a nonsingular matrix P such that P- 2-2 5 0 3-2 0 2 P = A = -1…

A: NOTE: Refresh your page if you can't see any equations. . now matrix is in triangular form…

Q: Consider the following matrix 3 A = 1 1 4 -1 1 a) Show that the matrix A is positive definite. b)…

A: a)                        A = AT This is a symmetric matrix because that's is equal to its…

Q: -2x+y=2 -2x+2y=0 substitution method.

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Q: Q10) Compute the length and the bearing of the perpendicular line that falling down from point R…

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Q: Find a matrix P such that PTAP orthogonally diagonalizes A. Verify that PTAP gives the proper…

A: The matrix is given as , A=3200230000320023 find a matrix P such that PTAP orthogonally diagonalizes…

Q: Determine the end behavior of the graph of the function. f(x)=8x6+3x5+3x4+7

A: To know the end behaviour of the function, we need to substitute the value of x where it ends in the…

Q: Suppose that Z is a transformation that generates a 90° rotation and that W is a projection on the…

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Q: Write a recursive formula for the arithmetic sequence bn given below. −14,−18,−22,−26,−30,…

A: We can solve this as follows:

Q: This module was designed to help you understand the divisibility rules for 3, 6 and 9 to find common…

A: Concept: Divisibility of three: A number is fully divisible by three if the total of its digits is…

Q: Suppose F(x) is an antiderivative of function f(x) = F(4) = O a) 15 b) 16 Oc) 14 d) 18 e) 13 3x+2…

A: We will find the derivative of given function as shown below

Q: d 2 12 1

A: