Express as a single logarithm and, if possible, simplify. log (x? + 3x-4) - log (x2 - 16) log (x +3x-4) - log (x - 16) = (Simplify your answer.)

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Q: ind the Partial derivatives of th Jiven fuctions With Ves Pect x(2-COS 29)

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Q: 8. Find 8.5 times the difference between 77 and 13.

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A: Law of logarithm:ln A+ ln B =ln (AB)ln(x)+ln(x-2)=5ln(x(x-2)) =5x(x-2) =e5x2-2x-e5=0

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A: 3. We are given a function   f(x) =a + c logb (d x+g) and we have been asked what will be change in…

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A: You need a 95% alcohol solution. On hand, you have a 55 mL of a 50% alcohol mixture. To determine…

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A: Two figures are topologically equivalent when one can be obtained by stretching and twisting the…

Q: 4. Interchange the z and y-values of each ordered pair. (-1,–1) (0, 0) (1, 1) f h (8,2) b

A: Given question:- Interchange the x and y values of each ordered pair.

Q: Sketch the region A= {(x, y)|(y>-log, x)^(y Sx²)}.

A: The region,  A=x,y|y>-log2x∩y≤x2

Q: Complete the following sentences by providing the correct words or phrases. v This week, I learned…

A: Complete the following sentences by providing correct details for fill in the blanks

Q: Number

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Q: 2 3= -2

A: Here we use matrix operations.

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Q: Choose two figures which are topologically equivalent to each other L.

A: We need to choose correct options.

Q: -10 -71 [X1 3 14 8 -3 11 X2 || |-4 9. -6 3 X3 1 [-9 -2 10 15] [x4] [-9]

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Q: Learning Task 2. Find the equation of the line. Write in slope intercept form and in standard form…

A: Find the equation of line . Find equation in slope intercept form and in standard form

Q: Find the vertices, asymptotes, and foci of a hyperbola with the equation (x+1)^2 - (y-3)^2 = 4.

A: To find the vertices, asymptotes, and foci of a hyperbola with the equation, x+12-y-32=4.

Q: consider the funCHon f(x)= Vox-18 for the domain. [3,0). Find where f-! Is the Inverse of ţ aiso…

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Q: Find the laplace transform of cos at using the formula L{f (t)} = | ef (t) dHencefind the laplace…

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Q: Subtract. (3 + i)- (6 - 14 i) (3 + i)- (6 - 14 i) =| (Type your answer in the form a + bi.)

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Q: 22. Simplify. 21x'y 8zy O 42?y 16?y 23. Choose the correct expression. 54 57 O 73 O vE? 75

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A: We want to check whether we get the dashed figure on rotating the given figure marked in blue…

Q: O Given the linear Systen 2X + 3 y - z =0 X -4y +5Z = 0 %3D ) Venfy that X, = 1 · X =- -) and z, =…

A: This question is related to linear systems, we will solve it using given information.

Q: 22. Show with one picture that 2/3 is equivalent to 10/15 in a continuous case. Explain how your…

A: Topic:- algebra

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A: Smallest possible set containing given sets is the union of the given sets.

Q: Determinant of 2 x 2 Matrices. Solve for the determinant of the following matrices: 7 -3 A = 4 B =…

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Q: Which of the following statements is (are) false if all vectors are in R"? O None of the statements…

A: We have to select which of the following statements is/are false, if all vectors are in Rn, and…

Q: Miscellaneous Problems a 00 0 11. Using cofactor method, prove that det M = 0 D 0 9 0 0 c 0 = abcd 0…

A: Given

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A: Student has specifically asked for the solution to the question (4). Hence, answer to that problem…

Q: Use the information in this problem to answer questions 16 and 17. 16. One number exceeds another by…

A: Let one number be x. Another number is x+16.

Q: 3. Describe which way (up/down, left/right) and by how much the graph of f(x) = log z will shift…

A: Given; f(x)=log x

Q: LaW - l 3e, - -0) with he standard operativas in R. Which of the diewing statements W is a subspace…

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Q: Can u help me answer c,d

A: Let's find.

Q: 0.0.0.6. Use the criange Of base formula to compute answer to the nearest. 1097t0round your…

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Q: Question 5 Formulate but do not solve this exercise as a linear programming problem. Madison Finance…

A: To write the system of inequalities to which objective function is subjected.

Q: ai susan needs .. Can Invest $: .. Compounded a are made, hol ..money for h do not ro ..ana round

A: compounded investment formula:A=P1+rnntA=final amount =4029P=Principal amount =3000r=7% =0.07n=4…

Q: The purchase price of a condominium is $121,000. A down payment of 24% is made. The bank charges…

A: The purchase price of a condominium is $121,000. A downpayment of 24% is made. The bank charges $725…

Q: 7. Find the horizontal asymptote(s). 623 + 222 + 7x – 1 33 + 2x2 – 3z +9 f(x) = O y = 2 * = 2 * = 9…

A: 7. f(x)=6x3+2x2+7x-13x3+2x2-3x+98. fx=x and g(x)=2x2+3

Q: Sketch the region A={(x, y)|(y< log, x)n ys s}.

A: Explained below

Q: Ms. Johnson uses a statistics program to analyze all the data collected by her students during a lab…

A: topic- statistics

Q: Use the function to find the image of v and the preimage of w. T(V1, V2) = (V1 + v2, V1 – V2), v =…

A: