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Home » Dividing both sides by 8, \( w = 8 \). - Abu Waleed Tea

Dividing both sides by 8, \( w = 8 \). - Abu Waleed Tea

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 = 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 \( h(x) = 4x^5 - 3x^4 + 2x^3 - x + 8 \). Compute \( h(-1) \).

📌 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 + 8) = 0

📌 Thus, \( h(-1) = \boxed{0} \).Question: An oceanographer measures the angle of elevation to the top of a lighthouse from a boat as $ 45^\circ $. If the boat is 100 meters from the base of the lighthouse, what is the height of the lighthouse?

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