Prove that log(x + y) = log(x) + log(y) if, and only if, y = 1, where x > 1.

Q: 3. Solve the logarithm equation: log4(x + 8) + log4(x + 2) = 2

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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: can you do the resr

A: Let's solve 6th question.  Please repost for other parts.

Q: A town's population in thousands in 15 years is given by   221(1+x)15 Where x is the growth rate…

A: Let's find population.

Q: Find the remainder when (10273 +55)37 is divided by 111.

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Q: I sin³x 5 sin x 4 cos x dx

A: To find out the integration.

Q: 5. A sports enthusiast takes 7 hours to cover a distance of 50 km through a combination of jogging…

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Q: The polynomial of degree 5, P(x) has leading coefficient 1, has roots of multiplicity 2 at x = 4 and…

A: This question can be solved using the concept of polynomials.

Q: 10 (0) (0) (q) > (e) > (p) (0) (q) > (e) > (0) > (p) > (e) (p) (e) > (p) > (0) > (q) > (0) (0) (p) >…

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Q: Solve the logarithmic equation algebraically. Approximate the result to three decimal places. (If…

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Q: 1. Coach Jensen wants to celebrate the final win of the school's volleyball season with a trip to…

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Q: Instructions: Use a graphing calculator to approximate the zeros and vertex of the following…

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Q: a) Write an equation which will intersect the line y = -x + 5 an infinite number of times, and…

A: Given problem:- a) Write an equation which will intersect the line y = - x + 5 an infinite number of…

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

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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: Show that TR4 R4 given by T(w, x, y, z) = (z, -y, x, -w)) is an isomorphism. (Please find the…

A: The given transformation T:ℝ4→ℝ4 given by Tw,x,y,z=z,-y,x,-w

Q: A quadratic function has roots 3 and - 5, which passes through the point (1, 5). Under what…

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Q: An assistant is in charge of ordering lunch for the monthly office meeting. For the first month, she…

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Q: 10. Sketch the exponential function: ƒ (x) = (²)* — 3 - x-intercept y-intercept

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Q: Simplify. 6x²54 x² + 4x-21 a. 6(-4x) b. 5r2 – 33 4x C. d. 6(x + 3) (x + 7) 6(x-3) (x + 7)

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Q: The speed of a river current is 6 mph. If a boat travels 20 miles downstream in the same time that…

A: Recall: speed=distancetime

Q: A certificate of deposit is worth P (1+r)t dollars after t years, where r is the annual interest…

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Q: X-8x +3=0

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Q: Solve for x and y in the matrix A = if A² x= y = = 91 12 30 19 x 2 5 y

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Q: C= -3 3 3 0 -1 3 D= 2 -3 3 1 Where possible, find the following. If not possible give the reason.…

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Q: Solve, if possible, for n where n is an integer in each of the following. b. n³ = a. 2 = -8 c. 2"-27…

A: Given:a. 2n=-8b. n3=-18c 2n.27=1024d  2n.27=16e 3+n2=32+n2f 5n=1257

Q: Complete the table shown to the right for the half adioactive substance.

A: topic:-calculus

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

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Q: All changes save 20. For the three-part question that follows, provide your answer to each question…

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Q: which

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Q: The Pear company sells pPhones. The cost to manufacture a pPhones is C(x) = 27x² +56000x+ 20161…

A: Given:    C(x) = -27x2+56000x+20161     R(x) = -31x2+184000xuu

Q: Question: Tell the truth value for each of the following proposition. False 1. If February has 30…

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Q: Let g be a function from Z+ (the set of positive integers) to Q (the set of rational numbers)…

A: g be a function from Z+to Q defined by x,y∈g iff y=4x-37 g⊆z+×Q

Q: -24x³ +42x² + 15x-24 -6x

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Q: O Hyperbola

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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: An object is thrown upward at a speed of 63 feet per second by a machine from a height of 14 feet…

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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: Question 1. Graph the following reciprocal functions. Start by graphing the function in the…

A: The given function is: fx=2x-3x+1 We have to graph this function using its characteristic…

Q: You are volunteering to help with the soccer team's Valentine's Day fundraiser. Each 16-ounce bag of…

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

Q: Problem 1.8 See the following graphs. The blue curve expresses the function y = f(x), while the red…

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Q: (-2-7i)(-1 - 6i) = (-2-7i)(-1 - 6i) =

A: Since it has a multiple parts of question and answered according to the guideline

Q: The entire graph of the function h is shown in the figure below. Write the domain and range of h as…

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Q: Instructions: Interpret the function given in the context of the real-world situation described to…

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Q: 2. Jim is trying to evaluate the following question. He understands function notation but is…

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Q: Solve the given equation over the complex numbers by completing the square. Use exact values. 2m² -…

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Q: The student council is organizing a trip to rock concert. All proceeds from ticket sales will be…

A: The solution is given below

Q: Solve equation b)2x2 + 7x +6 = 0

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Q: Evaluate the piecewise-defined function for the given values. when x < -2 when-2<x<5 when x ≥ 5 f(x)…

A: We are authorized to answer one question at a time, so we are answering the first one, please repost…

Q: Problem 1.11 Solve the following rational inequality and express the solution set in interval…

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