1. If a is a natural number and both 3|a and 2|a, then 12|a.

Q: 26. In how many ways can: a, five people be seated in a row? b. eight people line up for…

A: Given :(a) five people be seated in a row (b) eight people line up for registratin

Q: I would like help with question 9

A: Let's find.

Q: 11. 39x-23 = 243*+11

A:

Q: solve

A: Please refer to the image below

Q: For #13-14 uUse the matrices below to perform the indicated operation. Show your work! c = [ 1 7 -3…

A: Here we have B=7-3811 and C=-5423 We have to find CB = ?

Q: For each of the following sets of vectors, determine whether or not the set is orthogonal. • if the…

A: Let's find.

Q: Demonstiute te relction ship rout. Write betweren factor each rout in tactor form 2) and y=…

A: if x=a is root of f(x) then (x-a) will be factor of f(x)

Q: A cubic polymom ial 3rd has 2, 3+i and one more. and what the origina the root what is is function.

A: Here, note that the complex root is always in a pair.

Q: Determinant of n x n Matrices. Solve for the determinant of the following matrices using (a)…

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Q: For which value of x does the tangent function have the value of √3 on the interval 0

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Q: In a survey, 150 shoppers were asked whether they have access to a computer at home and if they have…

A: Here we have to use the concept of percentage.

Q: a. Show algebraically that f(x) = 2 x| - 9 is an even function. Solve the equation algebraically for…

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Q: _1. What is the value of x in the figure on the right? A. V1Z C. 6v2 45 В. 6 D. 12 _2. In the…

A: According to guidelines, I am solving first 3 questions. Please repost for other. Here we will use…

Q: Solve the following for the value of x: 3 + 5z X =

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Q: nomi 10 Determine if the events below are mutually exclusive or not mutually exclusive. Tenumbe 4.…

A: Mutually exclusive events:- Two events are mutually exclusive if they can not occur at the same time…

Q: 7 -3 -5 4 [ B = C = 8. 11 2 3 13. 5B – 4C 1

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Q: x+3 (b) Evaluate lim x+2

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Q: ball is thrown upward with an initial velocity of 28 meters per second from a cliff that is 80…

A: Given query is to find the time taken to ball to hit the ground.

Q: (8? – 4ac) -6+ V - 4ac -6 10. Find the vertex for y = 4x2 – 8x – 12. Use 2a from the quadratic…

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Q: Solve this using a)diagonal method and b)confactor method

A: Diagonal matrix: A diagonal matrix is a matrix with all zero entries outside of the main diagonal in…

Q: D. Two 23. How to determine the number of turning points of a given function? A. Same as degree B.…

A:

Q: 3. Determine the equation of a parabola with a vertex of (6, -4) and we know that this parabola has…

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Q: 15. Find the g-intercept of the equation y = (2 – 5)? + 2. O (0, -5) (0, 27) O (0, -3) O (0, 2) O…

A:

Q: 4. Use synthetic division to show that c is a zero of the given polynomial function. b. P(x) =2x³ –…

A: Solution is given below:

Q: 7) Describe how the lines are related. (a) y = x and y = -x (b) y = 5x and y = 5x – 4

A: The given lines are:a y=x and y=-xb y=5x and y=5x-4

Q: Let p and q represent the following statements. p: Eggs make a good breakfast. q: Bacon is not…

A: Given

Q: 9. Apply the indicated operation to the matrix, then choose the correct matrix. - 3R1 - R1 3 1 -9 O…

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Q: (cos 0, sin 0) TO 90° 2 /3 2 2 (0,1)1 (글을) (号号) (을) /3 2 2 2 /2 (을을) 2n 120°, 3 60°, 3 45.A TC 135°,…

A:

Q: For the following function y=4sin(2(x-3pi/4))+1, match the following.

A: Given:- y=4 sin(2(x-3π/4))+1  To find:- Amplitude , minimum , maximum

Q: For what value of x, are the vectors vị 3 V2 = 3 and v3 = 2 linearly dependent? 3 Select one: 10 9.…

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Q: The figure below has a polnt marked with a large dot. First, reflect the figure across the y-axis.…

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Q: 20. Add. -5 -9 21. Subtract.

A: The student has requested to solve both the question. This question can be solved using the concept…

Q: graph and identify the following characteristics for each function b. f(x) = -x2 -8x - 16 opens:…

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Q: If f(x) = 2x2 - 3x, find the average rate of change %3D ,f (x)) and (x +h,ƒ (x+ h)).

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Q: Determinant of n x n Matrices. Solve for the determinant of the following matrices using (a)…

A: Solution is given below:

Q: 8. 3 B %23 C

A:

Q: I D 5. Solve. Write answers as an imaginary number. 3zª – -12 Ov- 1124 Oy= tiv3 Oy = +3 O ==+2i O…

A: To solve: 3x2=-12 ⇒x2=-4 ⇒x=±-4

Q: The distance between New York and London is 3469 miles. If an airplane has a cruising speed of 350…

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Q: Test scores for a given class are normally distributed with a mean of 80 and standard deviation 14.…

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Q: The scatter plot shows the time spent watching TV, x, and the time spent doing homework, y, by each…

A: topic- linear equations

Q: Use the given minimum and maximum data​ entries, and the number of​ classes, to find the class​…

A: Given data :- Minimum = 9 Maximum= 83 Classes = 6

Q: Consider the following. -5 1 0 0 1-3 A = 0. P = 0 4 4 -2 1 1 2 2 (a) Verify that A is diagonalizable…

A: A=-5100-104-21, P=01-3040122

Q: The number of bacteria in a culture is increasing according to the law of exponential growth. The…

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Q: The function p(x) 2006. Which statement best describes p(9)? 8,963(1.03)* models the population of a…

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Q: Q1: Below is the population of the city in lenses taken once every 10 years. Estimated population in…

A: We will use Newton's forward difference interpolation method to find the solution at  x=1955.

Q: 4) Find the missing term in each pattern: a) 243; 324; 405;. L; 567 b) 234; L; 23,481; 234,819;…

A: We will find the missing term.

Q: A box contains 8 blue balls, 6 white balls, and 4 black balls. In how many ways can we select 4…

A: As per guidelines we can solve only three sub part of a question. Solution - Blue ball = 8  White…

Q: 1.2x2 - 8 , 2 and s. 3. The solution set of 3(5 - 2x) 2 15 is (ylys1}. 4. The graph of the 5x -3…

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Q: Try This ! Try these exercises as formative assessments to check your understanding of the concepts…

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Q: The graph below depicts a function f(x). Its two asymptotes are indicated in red: -5 -4 -3 -2 -4 -5-…

A: