The numbers 12, 15, and 21 form a Pythagorean triple and satisfy the Pythagorean Theorem (a2 + b2 = c²). %3D O True O False

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Q: 4.6.2. Prove the following inequalities by induction for all n Ee N. (a) 5" +5 < 5n+1 (b) 1+2+3+…

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A: Since you have asked multiple question we will solve first question for you. If you want any…

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Q: How many positive integer solutions does the following have: X1 + X2 + X3 = 7

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Q: Perform the operation and write the result in standard form. (16+17:)? -33+544i -33-544i O 33-544i O…

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Q: An article suggests the uniform distribution on the interval (6.5, 19) as a model for depth (cm) of…

A: From the given calculation in part (a)    Mean, μ=12.75variance,σ2=13.02therefore,      standard…

Q: Which among the following is purely real? Select the correct response: Z= 6 Z= -1 +2i Z= 7-9i Z= -6i

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Q: 4. Let p = 5 - 2i and q = 3 + 7i. Write each expression in the form c. pq a. b. p-q p + q Tea or…

A: p=5-2i q=-3+7i

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Q: Perform each operation. Write answers in standard form.5. 11 - i2 - 13 + 4i2 + 2i 6. 12 - 5i2 + 19 -…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…