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Home » Builder’s Ultimate Blood Pudding Recipe: Cook Like a Pro (Click to Watch!) - AMAZONAWS

Builder’s Ultimate Blood Pudding Recipe: Cook Like a Pro (Click to Watch!) - AMAZONAWS

📅 March 5, 2026 👤 scraface

Mar 05, 2026

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📌 We already know $ a + b = 10 $, so compute $ (a + b)^3 = 10^3 = 1000 $.

📌 To find $ ab $, use the identity:

📌 a^3 + b^3 = 1000 - 3(21)(10) = 1000 - 630 = 370

📌 Thus, the value is $ \boxed{370} $.

📌 Question: A retired scientist mentoring students notes that a scientist previously conducted 40 experiments, with 75% successful. After 10 more experiments, the success rate rose to 78%. How many of the last 10 experiments were successful?

📌 Solution: Initially, the scientist conducted 40 experiments with a 75% success rate:

📌 \times 40 = 30 \text{ successful experiments}

📌 After 10 more experiments, the total becomes $ 40 + 10 = 50 $ experiments. The new success rate is 78%, so total successful experiments now are:

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Find the cubic polynomial \( f(x) \) such that \( f(1) = 3 \), \( f(2)...
To find the cubic polynomial \( f(x) = ax^3 + bx^2 + cx + d \), we use...
\( f(1) = a(1)^3 + b(1)^2 + c(1) + d = 3 \), which simplifies to:
a + b + c + d = 3
\( f(2) = a(2)^3 + b(2)^2 + c(2) + d = -1 \), which simplifies to:
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\( f(3) = a(3)^3 + b(3)^2 + c(3) + d = 2 \), which simplifies to:
27a + 9b + 3c + d = 2
\( f(4) = a(4)^3 + b(4)^2 + c(4) + d = 5 \), which simplifies to:
64a + 16b + 4c + d = 5

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