Use your knowledge of the properties of logarithms to match equivalent expressions: m logb (77) -log, (b") |log (1) log,(m.n) log, (b) - log, (a) blog (m) log,(m") a. 0 b. n. log, (m) c. m d. loga(a) log (b) e. n f. log.(m) -log(n) g. 1 h. log.(m) + log(n)

Q: Consider the system 8 0 BALL] -4 6-4 a -26-8 a. Given that b-4, for which value of the parameter a E…

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Q: f(x)=x² + 6x and g(x)=1-x Find (f-g) (x) and (f-g)(5).

A: f(x)=x2+6x and g(x)=1−x

Q: Find the domain of the function. 10 x-7 f(x)= What is the domain of f? OA. (-0,7) or (7,00) OB.…

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Q: Problem #7: Find the eigenvalues of the following matrix. A = 6 2 -2 1 6 2

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A: A cylinder has a diameter of 16 feet and a height of 5 feet.

Q: 4x²-9

A: Let P(x)=4x2−9

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Q: In general, % of the values in a data set lie at or below the 78th percentile. % of the values in a…

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Q: Perform the indicated operation and express the answer in decimal notation. 8 x 104 2× 106

A: Let,

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A: By using the graph to find the following:(a) The domain and range of the function.(b) The…

Q: Write the expression in the standard form a + bi. (-5+ i)(-5-i) (-5+ i)(-5-i) = 26 (Simplify your…

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Q: Solve the logarithmic equation. log (x+4)= log x + log 4

A: log⁡(x+4)=log⁡x+log⁡4Using the logarithm propertieslog⁡a+log⁡b=log⁡(ab)

Q: Give the growth rate that corresponds to the growth factor 8. The growth rate is i eTextbook and…

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Q: A principal amount of $11,200 is placed in a savings account with an APR of 2.88% simple interest…

A: A principal amount of $11,200 is placed in a savings account with an APR of 2.88% simple interest…

Q: The set B = {3 + 2x², 6 − 2x + 4x², 4x − 13 – 10x²} is a basis for P₂. Find the coordinates of p(x)…

A: The objective of the question is to find the coordinates of the polynomial p(x) = 18x - 54 - 40x^2…

Q: Find the least common multiple of [105, 385], [2,20] and [21, 15]. Find the prime factorization of…

A: 1)i) [105,385]ii) [2,20]iii) [21,15]According to bartleby guidelines we solve only one question…

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Q: Evaluate the integral. fatto Sx-1 6 (Type an exact answer, using x as needed.) dx =

A: The given integral is

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A: Since you have asked multiple sub parts in a single request so we will be answering only first three…

Q: solve the system by substitution and show all work. 2x+y=11 3x-2y=6

A: To solve the following system of equations by using substitution method.

Q: Question 2 Suppose f(x) has the following values: x 0 1 2 -3 -2 -1 f(x) 0 -1 0 3 8 15 Based on this…

A: Since you have asked multiple questions in a single request so we will be answering only first…

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Q: Find (x) and (8). (+)(x) = (x)= 104 (Simplify your answer.)

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Q: 3 X 2 6x + 5x = 0

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Q: Find the basic eigenvectors of A corresponding to the eigenvalue >. A = 3 9 28 -27 λ = -1 2 9 29-28…

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Q: Let f: R R be defined by f((x, y)) = 7y - 3x - 3. Is f a linear transformation? a. f((x₁, y₁) + (x₂,…

A: The objective of the question is to determine whether the function f, defined by f((x, y)) = 7y - 3x…

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Q: -4 344 - 272 142 ܢ

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Q: A. ABA-¹ = B B. A+ A-¹ is invertible C. (A + B)(A - B) = A² - B² D. (In + A)(In + A-¹)=2In + A + A−¹…

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Q: Solve the logarithmic equation. E log(x+8)+ log 4(x+5)=

A: log4⁡(x+8)+log4⁡(x+5)=1Using the logarithm propertiesloga+log⁡b=log⁡(ab)

Q: Find a basis for the column space of A = 3 0 0 1 Basis for col(A)= {| 15 3 0 0 2 2 0 0 4 5 -4 -2…

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Q: 0 13 3. Find the matrix A such that A -6-20 use the variables a,b, c, d for the entries of A. 2-2…

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Q: Solve the system by graphing. x=y=3 x+y=1 Use the graphing tool to graph the system. Click to…

A: Solve the system by graphing:x - y = 3x + y = 1

Q: The smoothing constant ? represents a percentage of the forecast error. True False

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Q: Find the first term and the common difference of the arithmetic sequence whose 4th term is 12 and…

A: Given that the 4th term of the arithmetic series is 12 and 13th term is 30 we have to find the first…

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Q: A sphere with a surface area of 48π cm2 is dilated with a scale factor of k = 3/4. What is the new…

A: The objective of this question is to find the new surface area of a sphere after it has been dilated…

Q: 3 x 2 6x + 5x = 0

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Q: Graph the linear function using the slope and y-intercept. y = x + 5 11/12

A: The given equation of line is

Q: 09. Simplify x + 3 2x + 1 X w/ 3

A: Let assume,

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Q: 3. 5r-24r - 5

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Q: Find a. (f+g)(x) b. (f+g)(4). f(x) = 4x-4, g(x)=2x-5 a. (f + g)(x) =

A: The given functions are

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Q: X |f f(x) = g(x) = [ 8 n=0 1 -x", find the power series of f(x)g(x). 272

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Q: Form the relations. partial equation from the 1) 2 = y² + 24 (+ (ny) following

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