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Simplify the following:

[(−0.4)+(4.6)2+(2.3)2÷5]−3.24[{(-0.4)+(4.6)^2+(2.3)^2}\div5]-3.24

A1.79

B1.93

C1.39

D1.97

Answer:

D. 1.97

Read Explanation:

Let's simplify the expression step by step:

  1. Calculate the squares:

    • (4.6)^2 = 21.16

    • (2.3)^2 = 5.29

  2. Substitute the squares back into the expression:

    • [(-0.4) + 21.16 + 5.29] / 5 - 3.24

  3. Calculate the sum inside the brackets:

    • -0.4 + 21.16 + 5.29 = 26.05

  4. Divide by 5:

    • 26.05 / 5 = 5.21

  5. Subtract 3.24:

    • 5.21 - 3.24 = 1.97

Therefore, the simplified value of the expression is 1.97.


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