30. Find the integer a such that a) a = 43 (mod 23) and -22 < a s0. b) a = 17 (mod 29) and -14 < a s 14. c) a = -11 (mod 21) and 90 sa s 110.

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A: The given graph is:

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A: The given question has been solved in detail. 

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A: We will find the correct answer on matrix multiplication. 

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A: Given problem:- Write the following word problems as a numerical expressions, and calculate the solu...

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Q: Solve the following quadratic equation by using the quadratic formula. If necessary, round to the ne...

A: The given quadratic equation is: x2+10x+22=0 Comparing it with ax2+bx+c=0, a=1, b=10, c=22

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Q: Solve the following quadratic equation by completing the square. If necessary, round to the nearest ...

A: We have to solve the quadratic equation by completing the square.                                   ...

Q: Indicate the steps, construct a table for the ordered pairs (x,y) and graph the points in the cartes...

A: see below the answer  with table and graph

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A: Given query is to find the Indicated properties of parabola from the graph.

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A:

Q: Determine whether the ordered pair (3,5)  is a solution to the system of equations:4x+2y=10  6x+3y=3...

A: To solve the following problem

Q: 20. Find the y-intercept of the equation: x = 3y +8 А. -3/5 21. The equation of a line that intercep...

A: 20. The given equation: x=3y+821. The equation of a line has x-intercept at x=4 and y-intercept at y...

Q: -2w-6(-6x+w)+6x

A: To simplify the following expression.-2w-6-6x+w+6x  

Q: Distinguish the discriminant and number of solutions for the equation. Show your work and explain th...

A: Given query is to find the solution of the quadratic.

Q: Find the sum of the series. 8. (-1)" n = 0 5 n!

A: Solve by series sum

Q: (a) x² + 9x – 10 0 Answer:

A:

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A: The given system,6.4x+y=36.44-5.7 ln(x)+y=-1.69852

Q: Using correct vocabulary, select the phrases describing how the following equation changed the paren...

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Q: Solve the following quadratic equation by completing the square. If necessary, round to the nearest ...

A: Given quadratic equation x2+8x-9=0

Q: 3. 14

A:

Q: The Blackburn Computer Company has declared an annual dividend of $0.55 per share. The stock is trad...

A: We have to find the dividend yield.

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Q: solve for x 20.412 + 25.2x^2 - 45.36x = 27x^4

A:

Q: Find the radius of a circle which circumscribed a regular pentagon whose area is 560 sq. units. C. 5...

A: Explained below 

Q: (Number 11) thanks!!

A: see below the answer 

Q: Find a degree 3 polynomial with real coefficients having zeros 5 and 3i and a lead coefficient of 1....

A: A degree 3 polynomial with real coefficient having zeros 5 and 3i and a leading coefficient of 1

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A:

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Q: have a word problem I can't figure out on growth and decay.  An employee recieves a 2% raise once p...

A: Given query is to find salary of the employee after 10 years.

Q: 1. Calculate the answer, in correct significant figures, of the expression below: antilog(2.580) log...

A: Find your answer below 

Q: (a) State and prove Pascal's Identity.

A: According to Bartleby's policy we can solve only 1 question at a time. Apologise for the inconvenien...

Q: 3) If a = 31-2j, b = 7i+5j and c = 9i-j, show that a - (b-c) = (a - b) - (a - c). %3D

A:

Q: It is important to have a random sample to prevent data manipulation. O True False

A: This question can be solved by applying the concepts of random sampling.

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Q: Convert 298ten to base three

A:

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A: Given statement is "True"

Q: 1 2 6 Ix – 41 Answer:

A: 1x-4≥61x-4≥6   and   -1x-4≥61x-4≥6   and   1x-4≤-6x-4 ≤16   and   x-4≥-16x≤4+16   and  x≥4-16 x≤256 ...

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A: