Expand into a sum and/or difference of logarithms of r, s, and t, or as a single logarithm without exponents. Assume all variables represent positive real numbers. Express numbers in exact simplest form. log, (rst) = | DlogO Ologo

Q: Graph the line with slope 3 passing through the point (-4,-3).

A: Equation of the line with slope m and passing through point (x1y1)  is(y-y1)=m(x-x1)Substitute m=-23…

Q: Explain what the student did wrong when combining the given functions. f(x) = 2x – 9 and g(x) = 9x +…

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Q: Question 12 : Determine whether the given matrix is orthogonal (DON’T find inverse. You are NOT…

A: This is  a problem related to matrix operation. Based on the property of ortho

Q: Set up a system of linear equations to represent the scenario. Solve the system by using Gaussian…

A: We have to find how much she borrow from each given source. Here We can use Gaussian elimination…

Q: Solve the equation. Give your answer correct to 3 decimal places. ln(x) − ln(2) = 10

A: Given, ln(x)-ln(2)=10 Rearranging the terms we have, ln(x)= 10+ln(2)

Q: 2 Let f(x) =

A: answer is in next step

Q: –+l 15=405 %3D

A:

Q: Two factory plants are making TV panels. Yesterday, Plant A produced 15,000 panels. Three percent of…

A: The given data is: Plant A produced 15,000 panels and 3% are defective  Let Plant B produce x panels…

Q: Let f(x) = x² 1 and g(x) = x – 2. - Find the following: f(x) · g(x)

A: Find f(x).g(x)

Q: Question 25 Find the determinant of the matrix a b 3 2 2 6 5 6. A -2a + 6b - 3c B 2a + 6b + 3c

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Q: What is the period of the function? Ay 2 3t 4 5 6 7 8 9 0n -1 -2 -3 -5 5432

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Q: Find all zeros and vertical asymptotes of the rational function с — 5 f(æ) x2 16 f there is more…

A: Given:- f(x) =(x-5)/(x2 -16)  To find:- Find all zeros and vertical asymptotes and end behaviour of…

Q: The sum of three numbers, call them x, y, and z, is 5. The number z is one more than twice the value…

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Q: [2 -2 3 -1 Given matrices A = and B = Find (a) + B", (BA)" . (b)

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Q: Students in a fifth-grade class were given an exam. During the next 2 years, the same students were…

A: Here, the average score of the student is given by: f(t)=90-15log(t+1),...(1) 0≤t≤24 where t is the…

Q: Kachina Caron invested $1800 in a simple interest account and earned $36 in 3 months, what is the…

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Q: #

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Q: The graph of a function h is shown below. Find h (2).

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Q: 2x - 50 2x +14x+ 20

A:

Q: eight times four plus m squared four times the quantity three plus x squared - the cube of a…

A: Given questions,

Q: y = h(x)

A: Given query is to find the value of the indicated function.

Q: Find the area and the circumference of a circle with diameter 3 yd. Use the value 3.14 for a, and do…

A:

Q: P30,000 is invested for a period of 3 years at a rate of 6%, compounded 2 times per year. What will…

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Q: Find the key numbers of the inequality. (Enter your answers as a comma-separated list.) 25x3 − 49x2…

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Q: Which point is closest to the incenter of AABC ? P. B. OR O S ОР

A: here we can see that the incentre is inside the triangle and we see that the P is nearest point to…

Q: Multiply and Simplify (5 + i) (4 - 7i)

A: simplify the expression.

Q: Identify the line that is drawn on the given triangle below. O Median O Altitude O Angle bisector O…

A: topic - triangles

Q: An investor has $120,000 to invest in bonds. Bond A yields an average of 5% and the bond B yields…

A: Find the objective function R

Q: The incenter is found at the intersection of the angle bisectors of the triangle. True or False? O…

A: I have showed below

Q: A food truck gyro vendor has weekly fixed costs of ​$550​, and variable costs of $4.55 for each gyro…

A: topic - functions

Q: The figure below shows one of the steps used in inscribing a regular hexagon in a circle. True or…

A: Consider

Q: matri -1 A = 1 -1 \0 -1 1 1 1

A:

Q: Question 2 Given the matrices below, find B - 2A 7 -5 4 -5 1 -4 -3 (- [] 1 3 -5 D E = -2 1 4…

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Q: Algebraically show that each of the given combinations are equivalent to the given functions. If…

A: This question can be solved using the concept of multiplication of two algebraic function.

Q: Find the area of the triangle below. Be sure to include the correct unit in your answer. 15 ft 5 ft!…

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Q: Let f(x) = 2 a If g(x) is the graph of f(x) shifted down 4 units and right 1 units, write a formula…

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Q: Question 7: Find all values of k for which A is invertible, given that To k k] A = k k 0 k² 2 k

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Q: Given a square matrix A, if either of the following conditions are true, then 4 = 0. · A row (or…

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Q: 9 m Circumference: Area: E

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Q: Question 12 : Determine whether the given matrix is orthogonal (DON’T find inverse. You are NOT…

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Q: (5p+2)°=(7p+4)°

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Q: 10. In a randomized clinical trial, 888 people were placed given Drug A and 930 were given Drug B.…

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: Carson is organizing textbooks on his bookshelf. He has a Spanish textbook, a math textbook, a…

A: The given data is: Carson is organizing textbooks on his bookshelf. He has a Spanish textbook, a…

Q: eight times four plus m squared four times the quantity three plus x squared the cube of a increased…

A: Eight times four plus m squared8(4+m2)Four times the quantity three plus x squared4(3+x2)

Q: Rocco loves going for a walk. In the past 20, days, he has walked 310, miles. If he walked the same…

A:

Q: Question 16 Find the determinant of 1 3 -1 0 - 2 -4 -1 -6 -2 -6 9. 3 7 -3 -7 3 5 2 7 A) 24 в) 12 -24…

A: We need to calculate the determinant.

Q: . Malik received a $30 gift nis grandparents and Is using it only to pay for nis karate lessons,…

A: Given query is to find the relation between d and t.

Q: Graph the rational function f(x) = -4x -8 To graph the function, draw the horizontal and vertical…

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Q: In Pennsylvania, state sales tax is used to pay for services provided by the state. The sales tax…

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Q: Find 4.4-6B and simplify. 5 4 -1 3 3 A = B = 3 3 12 5 4 3 4.4-6B =

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