Express all solutions to the following equations as sets of integers: (a) 7x ≡ 12 mod...

Express all solutions to the following equations as sets of integers: (a) 7x ≡ 12 mod 13 (b) 10x ≡ 4 mod 6 (c) 6x ≡ 8 mod 12

Expert Solution

Colby Messinger answered 7 months ago

Find two solutions for the following equations: (i) 2x+3y=12 (ii) 7x+9y=63

Calculate the pH of solutions with the following concentrations. A: [H3O+] = 1×10−12 M Express your...

Calculate the pH of solutions with the following concentrations. A: [H3O+] = 1×10−12 M Express your answer using one decimal place B: [OH−] = 1×10−5 M Express your answer using one decimal place. C; 3.00×10−3 mol of HBr are dissolved in water to make 16.0 L of solution. What is the concentration of hydroxide ions, [OH−], in this solution? Express your answer with the appropriate units. D: 8.00 g of NaOH are dissolved in water to make 4.00 L of...

Find all solutions to the following equations: (a) √2x − 2 = √x + 1 (b)...

Find all solutions to the following equations: (a) √2x − 2 = √x + 1 (b) x4 − 5x2 + 6 = 0 (c) |3x − 7| < 5 (d) |ax + b| ≥ c Explain step by step please Suppose 4 is a right triangle with leg-lengths a and b and hypotenuse c. Find the missing side: (a) a = 3, b = 4, c =? (b) a = 12, c = 13, b =? (c) a = 6,...

Answer all of them... Interpretation of Reactions by Ionic Type Equations. Aqueous solutions of the following...

Answer all of them... Interpretation of Reactions by Ionic Type Equations. Aqueous solutions of the following substances or their mixtures with water if they are only slightly soluble, are mixed. Write first the conventional equation, second the total ionic equation, and lastly the net ionic equation. If you predict no appreciable reaction, indicate this, and state why. a. Magnesium chloride and sodium carbonate b. Aqueous ammonia and hydrofluoric acid c. Nitric acid and magnesium acetate d. Ammonium chloride and sodium...

Compute the following: (a) 13^2018 (mod 12) (b) 8^11111 (mod 9) (c) 7^256 (mod 11) (d)...

Compute the following: (a) 13^2018 (mod 12) (b) 8^11111 (mod 9) (c) 7^256 (mod 11) (d) 3^160 (mod 23)

3. Solve the following differential equations by using LaPlace transformation: 2x'' + 7x' + 3x =...

3. Solve the following differential equations by using LaPlace transformation: 2x'' + 7x' + 3x = 0; x(0) = 3, x'(0) = 0 x' + 2x = ?(t); x(0-) = 0 where ?(t) is a unit impulse input given in the LaPlace transform table.

Solve the following 2 equations: -4x +2 y = -5 7x + 8y = -15

2.6 Consider all the possible sets of two square roots s, t of 1 (mod 35)...

2.6 Consider all the possible sets of two square roots s, t of 1 (mod 35) where s ≢ t (mod 35) (there are six of them, since addition is commutative (mod 35). For all possible combinations, compute gcd(s + t, 35). Which combinations give you a single prime factor of 35? 2.7 Using CRT notation, show what is going on for all the combinations you considered in #2.6. Explain why gcd(s + t, 35) sometimes gave you a factor,...

Find the real solutions of the following equation. x^4 +7x^3+8x^2-7x+15=0 Select the correct choice below and,...

Find the real solutions of the following equation. x^4 +7x^3+8x^2-7x+15=0 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. The solution set is { } (Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed. Type each answer only once.) B. The solution set is empty set∅.

NUMBER THEORY 1.Find all the possible solutions for the following diphantine equations by using the euclidian...

*NUMBER THEORY* 1.Find all the possible solutions for the following diphantine equations by using the euclidian algorithim. You must show all the process to get credit. a. 3x + 5y = 7 b. 3x − 12y = 7 c. 1990x − 173y = 11 d. 21x + 48y = 6 e. 2x + 3y + 5z = 11

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