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Home » Gamepass Games: The Secret Ransom of Gaming You Need to Ignore… or Embrace! - jntua results

Gamepass Games: The Secret Ransom of Gaming You Need to Ignore… or Embrace! - jntua results

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 \equiv 0 \pmod{6}

📌 Thus, the remainder is \(\boxed{0}\).

📌 Question:** A zoologist studying animal migration patterns observes that certain species return every few years, forming a sequence similar to an arithmetic progression. How many of the first 50 positive integers are congruent to 3 (mod 7)?

📌 We seek integers \( n \) such that \( n \equiv 3 \pmod{7} \). The sequence of such integers is \( 3, 10, 17, \ldots \).

📌 This is an arithmetic sequence with the first term \( a = 3 \) and common difference \( d = 7 \). The general term is given by:

📌 n_k = 3 + 7(k-1) = 7k - 4

📌 We require \( n_k \leq 50 \):

📌 7k - 4 \leq 50

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g(2) = 2(2)^3 - 3(2)^2 + 5(2) - 7 = 2 \cdot 8 - 3 \cdot 4 + 10 - 7
= 16 - 12 + 10 - 7 = 16 - 12 = 4; \quad 4 + 10 = 14; \quad 14 - 7 = 7
Thus, \( g(2) = \boxed{7} \).
Question:** A mathematician is studying a function defined by \( h(x)...
Solution:** Evaluate \( h(-1) \) by substituting \( x = -1 \):
h(-1) = 4(-1)^5 - 3(-1)^4 + 2(-1)^3 - (-1) + 8
= 4(-1) - 3(1) + 2(-1) + 1 + 8 = -4 - 3 - 2 + 1 + 8
= (-4 - 3) = -7; \quad (-7 - 2) = -9; \quad (-9 + 1) = -8; \quad (-8 +...
Thus, \( h(-1) = \boxed{0} \).Question: An oceanographer measures the...
Solution: The angle of elevation is $ 45^\circ $, and the adjacent sid...

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