Find the prime factorization of 168 and 270, and then compute their LCM and GCD.

Q: Q₁: (A) Let R=(Z12, +12-12). 1. Find all maximal ideals of R. 2. Evaluate char. (R). 3. Is R a…

A: Please see the below picture for detailed solution.

Q: x-7 Graph the function f(x) = 2 (1) on the axes below. You must plot the asymptote and any two…

A: Given that, the function is fx=212x-7. Note that, the function fx=212x-7 defined for all values of…

Q: 6. Five pirates have obtained 100 gold coins and have to divide up the loot. The pirates are all…

A: answer is in next step

Q: each bacte divides into two The table shows the number of bacteria present in a particular sample…

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Q: a) Convert 0.000 000 035 to Scientific Notation b) Calculate (3.4 x 10) x (4.9 x 10¹¹), giving your…

A: Given a) 0.000000035 b) (3.4×10-9)×(4.9×1011)

Q: Each license plate in a certain state has five characters (with repeats allowed). Here are the…

A: Topic = Algebra

Q: Additional Activities (-2.39) (14) 32 14 8 8/8 20 10 2889 10 (2.71 3 B. Locate and classify the…

A: Explanation of the answer is as follows

Q: A scientist mixes water (containing no salt) with a solution that contains 45% salt. She wants to…

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Q: licatio Write an expression to represent the area of the rectangle 36-x² 4x+6 1 10x³ +15x² 5x³-30x²…

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Q: 20. Evaluate.d(x³ sinh(Inx)) O a. 2x3 − x O b. 2x² O C. 4x²-x O d. 2x2 − x

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Q: Travel The prices for traveling between five cities in Colorado by bus are given in the table below.…

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Q: In the interval 3 < x < 4 of the first derivative test, f(x) is a. Not moving b. Changes direction…

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Q: Is it possible to find the determinant of a 4x3 matrix? If yes, cite an example, if not please give…

A: A matrix has an determinant iff it is a square matrix i.e of order n×n

Q: D U A I IV V/VI VII C B VIII

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Q: b) Determine the equation of the line that goes through the point (-1,2) and crosses the positive x-…

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Q: 2. Use the Fourier transform to solve this transport equation for u = u(x, t), defined on the whole…

A: Given that                       2ut-3ux = 0 and  u (x,0) = e-x2            We can write this as…

Q: Consider a triangle ABC like the one below. Suppose that a = 66, b=57, and c= 33. (The figure is not…

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Q: The expression w⁴-36 is equivalent to

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Q: 2. A = 4 0 0 0 -2 0 0 0 -3

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Q: 3. Give a combinatorial proof of the identity: x (7) = n(1=1) k Hint: How many ways can you select a…

A: Since you have asked multiple question, as per company guidelines we will solve the first question…

Q: The formula is y = s3√x/g2, with s representing the constant variation, where y = 12 when x = 23 and…

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Q: QUESTION 7 En el triángulo ABC, ZA=105°, ZB=30° y b=25 pulgadas. La medida de c redondeado al entero…

A: Given

Q: 11. True or False. sinh²x = - -+cosh (2x) O a. False. Correct answer is +cosh (4x) O b. False.…

A: topic- trigonometric identities

Q: y = a + bx to the following data 25 19 50 36 76 85 80 40 82 45 83 2. Fit a straight line 30 79

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Q: 5. Use the method of undetermined coefficients to solve the following differential equation d'y dx²…

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Q: Find the volume of the figure below. 7 yd 18 yd 12 yd Enter the answer as cubic inches.

A: 1 yd = 36 in.

Q: (1) Determine what comes next in the given pattern and provide solution/explanation: -7, 2, 11, 20,…

A: The sequence is -7, 2, 11, 20

Q: 5) 7) -3x²y -ух 6) бать". бьз 6ba3 3xys 8) −5x'y* . -6x²y

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Abraham, Eugene, Gabriel, and Morgan all practice fine arts. One of the men is an artist, one is a…

A: Concept: Statement solution using the tabular form: The tabular form is the simplest strategy for…

Q: Directions: Complete the table below based on the given example. Answers for columns 3 to 5 must be…

A: We need to fill the table.

Q: For matrix A = [8 -19 16], AAT is

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Q: B C D E C B D E A

A: Two graphs are equivalent if they have same vertex sex and same set of edges ( from which we can…

Q: Here are yesterday's high temperatures (in Fahrenheit) in 15 U.S. cities. 48, 50, 51, 52, 53, 54,…

A: Temperature in 15 US cities.48,50,51,52,53,54,55,55,61,62,71,72,75,76,80                     ↑…

Q: (b) For each augmented matrix determine how many solution the associated system of linear equations…

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Q: Charmaine deposited $4000 into an account with 2.5% interest, compounded quarterly. Assuming that no…

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Q: F(s)*(+25+2) Fis)

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Q: A species of animal is discovered on an island. Suppose that the population size P(1) of the species…

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Q: Find the equations of any vertical asymptotes. f(x) = x² +1 (x²-49) (x²-16) Find the vertical…

A: Given: f(x)=x2+1(x2-49)(x2-16)

Q: Suppose we want to choose 5 objects, without replacement, from 8 distinct objects. (a) If the order…

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Q: Solve the following problems. A. Given the graph determine the following 1. Absolute maximum value…

A: Topic:- calculus

Q: Solve for the area of the region bounded by x² = 4y + 4 and x = y = 2 2 A 21 = sq. units 3 sq. units…

A: The equation of the curves are: C1: x2 = 4y+4 ⇒ y = x2-44C2: x = y-2    ⇒ y = x+2 To evaluate: The…

Q: Identify the functions on the following set of ordered pairs. A = {(1, 2), (2, 3), (3, 4), (4, 5)) B…

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Q: Graph of f(x) Graph of / A 1. In the interval 0<x< 1 of the first derivative test, f(x) is Ⓒa.…

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Q: For the given rational function, (A) Find the intercepts for the graph. (B) Determine the domain.…

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Q: Given g(x)=√x-3, on what interval is the function positive? OL -∞ 3)

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Q: Jason invests $6000 in a savings account. The savings account pays compound interest at a rate of…

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Q: Consider the function: f(x) = x³ - 5 i. Use the limit definition of the derivative (First…

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Q: The amount of carbon-14 present in animal bones after t years is given by P(t) = Poe -0.00012t. A…

A: answer is in next step. please give a like !!

Q: Given: A,, C,and D are collinear in that order and AB = CD. Prove: AC = BD Statements Reasons 1. A,…

A: --- Given: A, C,and D are collinear in that order and AB = CD. Prove: AC = BD

Q: The coordinate B (2, 30°, 3) is _____ in RCS. B (1.7321, 1, 3) B (1,1.7321, 3) B (0.3085,-1.9761, 3)

A: Topic:- co-ordinate system