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Задача Задача №2676440
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Аноним
24 января 2025 10:31 · публичный вопрос
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Аноним

B³=24•(-1,5)³–¹=24•2,25

Ответ нейросети
24 января 2025 10:31

To evaluate the expression \( B^3 = 24 \cdot (-1.5)^3 - 1 = 24 \cdot 2.25 \), let's break it down step by step.

  1. Calculate \((-1.5)^3\): \[ (-1.5)^3 = -1.5 \cdot -1.5 \cdot -1.5 = -3.375 \]

  2. Rewrite the expression: Now substituting \((-1.5)^3\) into the equation: \[ B^3 = 24 \cdot (-3.375) - 1 \]

  3. Calculate \(24 \cdot (-3.375)\): \[ 24 \cdot (-3.375) = -81 \]

  4. Substitute back: Now substituting this value back into the equation: \[ B^3 = -81 - 1 = -82 \]

Thus, \[ B^3 = -82 \]

If you need to find \(B\), take the cube root of \(-82\): \[ B = \sqrt[3]{-82} \]

At this stage, if a numerical approximation is required, you can use a calculator: \[ B \approx -4.326 \]

So finalize the answers as:

  • \(B^3 = -82\)
  • \(B \approx -4.326\)