In Your Head Suppose you were using some number other than 32. 1 of O 3 4 of O of O of 2x0 Explain how the you can use the answer to the first problem to get each of the other problems.

Q: How many positive integer solutions are there to x₁ + x₂ + x3 = 14?

A: Solution: As per given by the question, find the integral solution of the equationx1+x2+x3=14 when…

Q: Find 3/(3+5 i) (d) ( 9 -15 i)/ 31 O (c) ( 9 -15 i)/ 29 (b) ( 9 -15 i) / 34 O (a) (9 +15 i) / 31 O

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Q: What are the solutions to (x - 10)(x + 12 O-10 and 12, O-10 and -12 10 and -12 10 and 12

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Q: Which of the two techniques presented in the text would you use to simplify (1/4 + 1/3)/(3/4 - 1/6)…

A: 14+1334-16 Divide both the top and bottom of the fraction by the  common denominator . First find…

Q: The gcd of 687 and 24 is: 01 O 11 12 3

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Q: 2. In modern notation, Cardano's formula for solving x³ + px + q = 0 is x = 2 A. x³ +9x-26= 0 B. x³…

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Q: There are two questions (in image), you worked on question 1. So, you said x=-1336 but also you had…

A: MATRIX : A set of numbers arranged in rows and columns so as to form a rectangular array. The…

Q: For each of the following numbers N, compute the values of N + 12, N + 22, N + 32, N + 42, … until…

A: Factor  into prime factors.

Q: How many solutions there are to this equation xl+x2+x3+x4 + x5= 30, each x is an integer that is at…

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Q: What are the solutions to (3x + 1)(x + 8) = 0? O 1/3 and 8 O -1/3 and -8 O-3 and -8 O-1/3 and 8

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Q: What is any expressions raise to the power of zero is equal to?

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Q: you’re thinking of a number 1-50 and i have to guess what it is. i asked these questions in this…

A: Given: A numbers between 1-50. To find: Find a number greater than 25, divisible by 2, 3 and 5 and…

Q: 5. Find all integer solutions to 6s+ 14t+21u = 1.

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Q: Given any real numbers a and d, consider the expression (a + md) + (a + (m + 1)d) + (a + (m + 2)d) +…

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Q: Connor was asked to solve the problem 39+25 twice, the first time when the problem was in a context…

A: Please see the answer in step 2

Q: -5a -7<12

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Q: Prove the following: There exist no integers a and b for which 14a + 4b = 1. Please explain the…

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Q: Find all integer solutions to 25s+ 14t = 1. O

A: Given equation25s + 14t = 1We have to find all integer solutions for s and t.

Q: Problem: I am thinking of a prime number. I multiplied it by 2, subtracted 6 from the product, added…

A: Solve the given problem

Q: (c) 7. 4 0|すO

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Q: 1 2x 1.7? Which expressions are equivalent to Select all correct answers. - -0.7 – 2 - x o -2x – 0.7…

A: The given expression is: 1-2x-1.7 Since the operation can only be done when constants and variables…

Q: What are the solutions to y2 +14=9x

A: Given : x2 + 14 = 9x

Q: If the answers to what is 12 less than 32 more of both answers sum using a base of 15 is 3 and 47,…

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Q: -3 ≤ 5/6 X - 1 ≤ 4

A: Since you have asked more than one question , we will solve the first question for you. If you want…

Q: Why is it that we say 25 has two square roots (5 and -5), but we write √25 = 5?

A: Since we know that every positive real number has two real square root. So we can say 25 has two…

Q: Solve the problem 5+8+11+14+...+299+302= 100 terms

A: We have given that, An Arithmetic series i.e, 5+8+11+14+...+299+302 From the given series, a = first…

Q: The whole number p is greather than 0, a multiple of 6, and a factor of 180. Hoe many possibilities…

A: Since the number should be multiple of 6 and factor of 180 so the prime factorization of 180 is,

Q: 3. How many solutions does the equation ₁+ ₂+ 3+₁ = 20 have, if 21, 22, 23, 24 are each required to…

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Q: Please help me solve this problem about cases, contradictions, and counterexamples. Thank you.

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Q: Use a random number generator to generate 50 values between zero and one (inclusive). List them in…

A: Note: Hi there! Thank you for posting the question. As there are multiple several questions,…

Q: You probably have seen the formula E, i = }n² + ;n This means that if you want to know the sur of…

A: Please check step 2 for the solution.

Q: How many solutions are there to the equation a + b + c + d + e = 485 if each of a, b, c, d, and e is…

A: This question from topic number theory

Q: Islamic Algebra

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Q: If there are three Metals of different weights 10+9 grams, 5+9 grams and grams respectively: a.…

A: Weight of first Metal = 10+9x+3 grams Weight of Second Metal = 5+9x grams Weight of third Metal = 67…

Q: 5. Calculate each of the following: (a) 8 / 7 + 4/1/ 11 (b) 18 the following expressions: 10 +5 x…

A: NOTE:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: 3. State the discriminant of 6?^2 − 2? + ?, and state for which values of ? would result in two…

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Q: b to the 2nd power -2bc+c to the 2nd power if b=3 and c=2

A: Given a function with variables b and c as shown belowWe need to find the value of the function if b…

Q: Show that V3 +2/6 is an irrational number.

A: A rational number can be represented as pq, where p, q are integers and q≠0. If a number can not be…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.