Determine the value of the logarithm: a) Log2 1/16 b) Log1/5 25

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A: The objective is to find the standard deviation of given set of data.

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Q: 5- 2- -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 $ 9 -2 3 Give the equation for the ellipse graphed…

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Q: 12. Describe which way (up/down, left/right) and by how much the graph of f(2) = log a will shift…

A: Given query is to find the translation performed.

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Q: Form a polynomial f(x) with real coefficients having the given degree and zeros. Degree 4; zeros: -…

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Q: 4 k 2 -5 9 0 -4 -1 -9 -2 Let A = 0 0 k -4 6 0 0 0 2 6 0 0 0 0 4 choose When is det(A) > 0?

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Q: 2. Complete the table. log; a 25 1 25 a. b. 5 C. -1 d. 0 e. 10 f. 2 g. -2 5

A: logbx = y is equivalent to  by = x .

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Q: Complete the table below to solve the equation 2.5x − 10.5 = 64(0.5x). x f(x) = 2.5x − 10.5 g(x) =…

A: As per bartleby guidelines we only give first question answers.

Q: D. Find each of the following. Do not use a calculator. 5. In ve 9. loga 2 10. log; 5* 1. log, V3 2.…

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Q: Work Smart When simplifying, divide out only common factors, not common terms! WRONG! x +1 X +1 1…

A: The given expression,        x2+3x+53x+5=x2+1

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Q: Solve the following equation for x, 2* = 8 Оа. 4 O b. 2 О с. 3 O d. None

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A: For linearly independent, mode of matrix of vector is zero.

Q: a. lim f(x) =1 and f(0) = -3

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Q: Multiply and simplify. coS x sin x( sec x+ csc x)

A: Here is the solution

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Q: Solve the polynomial equation x – 2x2 – 5x + 6 = 0. Use the fact that x = 1 is one of the zeros of…

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Q: The doubling period of a certain bacteria is 6 hours. There is a 500 g sample of the bacteria. a)…

A: Given problem:- The doubling period of a certain bacteria is 6 hours. There is a 500 g sample of the…

Q: Let A, B, and C be sets. Does A – C = B – C imply A = B? If so, prove it. If not, give a…

A: We have to give a counter example for  A – C = B – C imply A = B.

Q: in quadrant II? Select all that apply. ппп

A: Given query is to find the Indicated angle.

Q: The reduced row echelon form of a system of linear equations in xx and yy or in xx, yy and zz is…

A: A)The reduced row echelon form:1000010-2001-2= rank(augmented matrix)=3100010001= rank(A) =3rant of…

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Q: Consider the function: f(x) = x² + 2aæ – 8 The direction of the graph is like which of the…

A: The objective is to solve the above question.

Q: -2 have real eigenvalues? 3 For what values of a the matriz A %3D

A: This question is based on finding an eigen values .

Q: Write the equation of the hyperbola that has a center at (– 5, 3), a focus at (1, 3), and a vertex…

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Q: For an exponential function f(x) = ab, changing the value for will change the y-intercept. %3D

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Q: Let W be the set of 2x1 size matrices v= with positive integer entries such that x+y is even. W is…

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Q: 4 2- Consider the graph of the polynomial function shown. Whi of the following could be the -2 2 4…

A: Given query is to find the formula ifbthe function.

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Q: Let W be the set of all vectors in R of the form y x+y where x and y are real numbers, then W is…

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Q: Mitch mixes 5 parts white paint to 8 parts blue paint. If he has 2 qt of white paint, how much blue…

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Q: Determine whether the following set W = {(a1, a2, a3) E R° : a1 3az and az = -a1} %3D is a subspace…

A: The given set is W=a1,a2,a3∈ℝ3:a1=3a2 and a3=-a1 Let, A, B∈W and α∈ℝ So, A=(a1,a2,a3), a1=3a2 &…

Q: 1 1 3 a If A = = 1 is orthogonal, then A -2 C 1 will be

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Q: a' Solve for ミ

A: Please see the answer below.