Which of the following is a valid reason for using common logarithms (base 10 logs) when solving an exponential equation algebraically? Taking any log other than the common log of two equal expressions does not maintain their equality O Common logarithms can be easily evaluated using readily available technologies The laws of logarithms apply only to common logs Common logs more closely model the base 10 system than all other logs.

Q: 2 i ^-(²₂4) A = i 2

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Q: on Describe the hans formation that occur. Y = √₂ for each of the following. = √₂+3, y = √₂-Y,…

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Q: 90 The logistic growth function P(x)= 1+271 -0.122x models the percentage, P(x), of Americans who…

A: Given :Px=901+271e-0.122x

Q: The set of odd integers between 18 and 29 (inclusive) is: Write the set with the roster notation.

A: The objective of the question is rewrite the given sets in roster notation.

Q: Find the inverse of the following function. Provide your answer below: f-¹(x) = f(x): = 5x – 7 -8x +…

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Q: 8. 29 3 10

A: To evaluate: 23·910

Q: The graph of y = g(x) is shown. 5 Evaluate g(2). -2 a. b. 0 4 3. 2 -5 -4 -3 -2 -1 -1 2 -3 --4 T -5 1…

A: Given ,  The graph of y = g(x)

Q: Complete the table shown to the right for the population growth model for a certain country. k=…

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Q: Which of the following is the inverse to the function f(x) = 3x - 6? 1 a. f'(x) = -——- c. f¹(x)=-3x…

A: Given: fx=3x-6   So, we can also write as; y=3x-6

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A: Suppose, x was the pre-tax subtotal.

Q: A man drives at a rate of 25 kph towards the foot of an 8-m tall monument. At what rate is he…

A: Topic = Algebra

Q: For the real-valued functions g(x): (gh)(x) = 0 Domain of g h : x-4 and h(x) = 2x+7, find the…

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Q: f(x) = 2x - 5 7

A: Given problem:- f(x) =(2x-5)/7 Find inverse of f(x)

Q: 1090 7, then A alla RA Have the same famk. 40. Prove: If a matrix A is not square, then either the…

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Q: What type of function is f(x) = 2x³ - 4x² + 5? O Exponential O Logarithmic O Polynomial O Radical

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Q: The cost C in dollars of manufacturing x bicycles at a production plant is given by the function…

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Q: Write the sum as a product: cos(16.2p)+cos(6.8p)=

A: First I have written a formula for sum of cosines as product then use it for given sum and easily…

Q: c) y" + 2y" = 32e²ª + 24x, y(0) = 6, y'(0) = 0, y″(0) = 14

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Which of the following shows the polynomial below written in descending order? 3x³ +9x-x+ 4x¹2 D OA.…

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Q: Question 3. Consider the following equation. 2x-3yz = 6; solve for y What is the coefficient?

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Q: 1. Vn EN, Prove the following by mathematical induction. IM= || 2 - n+2 2n

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Q: b) y = -3 5x+20 +7

A: We have to solve part b and find range and domain

Q: The standard form of a quadratic function is f(x) = ax² + bx+c. The characteristics listed below are…

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Q: Simplify. Assume that the variables represent any real number. √√2². - 10x+25 (Hint: Factor the…

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Q: Two triangles have the same base lengths represented by X. The height of one triangle is X plus one.…

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Q: 11.Write the complex number 3e in polar and rectangular form

A: Given:     Z = 3ei(4π/3)

Q: b X = Solve for x x

A: The Solution is given below-

Q: 2)Consider the equation: 3²= 6 a) Is it possible to solve this equation by writing both sides as…

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Q: For the same function above, that is f(x) = (x - 2)2 +3, which of the following is a possible…

A: For the function fx=x-22+3, to determine a possible restriction that would make the inverse be a…

Q: Consider the piecewise defined function: Evaluate f(-1) + f(1). 00 1 02 0 3 f(x)= [x²-1tfx <1…

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Q: Complete the table shown to the right for the half-life of a certain radioactive substance. The…

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Q: Determine the inverse of the following function.

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Q: 1+4700 e ial outbreak in a particular community. . How many people became ill with the flu when the…

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Q: 2) Let T [ ] = DT [₁2 i] = i) 0 ii) 2T = 1 + (-c-d)x+ (-d)²x² + (a + c)³ x³. Then we have: -7 - =

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Q: Question 10 Which of the following graphs of polynomial functions corresponds to a quartic…

A: topic- polynomials and roots of polynomial

Q: We assume that in a village there are farmers, carpenters, and tailors, who provide the three…

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Q: 2. Suppose you own a toy company... The packaging for boxed toy airplanes involves 2.2 square feet…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Solve V = - الدار for h, the height of the cone. O A. = 36 3V OB. h OC. h= OD. h. =

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Q: What are the domain and range of the function f(x)=√x-5? a. Domain= {x = R} Range = {ye R} b.…

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Q: 1) y"+y = cos y(0) = y'(0) = 2 Ꮖ .

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Q: A, B, C and D have 45 dollars together. If A had 2 more, B had 2 less, C had twice as much and D had…

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Q: BONUS QUESTION (optional) If m = log₂n and 2m + 1 = log₂16n, algebraically determine the values of m…

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Q: 6x(a+b); 4x²y(a³ + b³)

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Q: 54. The area of a rectangle is 84 square centimeters. The length is 5 centimeters longer than the…

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Q: 1. Find the equation of the parabola in the form_y=a(x−h)² +k with focus (1, −3) and directrix y = 2…

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Q: whats the answer of part 2 ( the graph)

A: Let's find graph of given function.

Q: If there are 180 grams of radioactive material with a half-life (decrease by half or 50%) of 1 hour,…

A: We have to find amount of radioactive material after 3 hours.

Q: Which of the following is the solution of the system Select the correct answer below: O (-11,5)…

A: The given system of equations,4x+3y=-183x+5y=-8

Q: Which of the following transformations is required to graph y=√√x-6 from its parent function? a.…

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Q: state domain and range state whether it is a function. {1,9), (2,7), (3,5), (4,3)3

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