Prove that the relation is an equivalence relation. 1. For x,y E R say x is congruent to y modulo Z if x- y is an integer, that is x - y € Z.

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Q: 20 m/s 10m/s 30 15 15 m/s

A: Given:  Velocities of 10 m/s, 20 m/s and 15 m/s act as shown in the figure. To Find:  To calculate t...

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A: find the value of peace wise function

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Q: 2. Every 2nd and 4th Thursday this semester around 2:30 you see your teacher go to room A101. You fi...

A: Solution ) inductive reasoning )  in this type of reasoning we take some observation  and based on t...

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A: The height of a triangle is 6 ft greater than base. The area of triangle is 108 square feet.

Q: { 2x Зу + 4z 12 (b) 1 3x 2y 3z 13 Augmented Matrix RREF Form of the Matrix General Solution Verify y...

A: Let's find. 

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A: Given:- The resale value V, in thousands of dollars, of a boat is a function of the number of years ...

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A: Follow the procedure given below. 

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A: The sum of two integers is -28. One integer is 16 less than the other.

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A: Topic:- polynomial

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A: topic - double derivative of a function

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A: Find inverse of matrix

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Q: 4Round to one decimal place and then multiply (round first, then multiply) 678 x 210

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A: Given function is -  f(x) = -32x20 -85x5 +17x -3 

Q: 4) -3i(4i-5)

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A: Our Aim is to factor the polynomial given below:-v3-125 -(i)

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Q: Last week at an insurance company, Zach sold an average of 7 automobile and 10 homeowner policies pe...

A: Given: Zach sold:Auto mobile =7home owner =10per day over  a  4-day periodPriya sold:Auto mobile =5h...

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Q: What is the domain of { (z,3z2- 5) Iz ER except 0}? All real numbers All negative numbers {x\x€R>0} ...

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Q: 4. Use the simplex method to find a basic feasible solution that maximizes Z = 2x+7y subject to the ...

A: It is given x≥0 and y≥0 - 4x + 2y ≤ 8   , taking 2 common outside  2(-2x + y) ≤ 8 - 2x + y ≤ 4  .......

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Q: The linear function f with values f(-3) = 10 and f(4) = 7 is f(x) =

A: We can find the linear function as below.

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A: Given that: Cost of attending conference = $225 per student.Cost of 12-person van=$90Hotel room cost...