Question

Help me plssssssssssssssssssssssssssssssssssss

Answer 1

44.2

Explanation:

Simplify the given expression.

Given expression:

`\Big((5.5+4.3)/(4) \Big) \cdot(2-6)^2+5`

To simplify expressions involving multiple operations, it's important to follow the order of operations. The acronym PEMDAS (or BODMAS) stands for Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right). This ensures a consistent and correct way of evaluating expressions.

`\hrulefill`
Let's break down the expression step-by-step:

(1) Evaluate Inside Parentheses:

Begin by evaluating the expressions within the parentheses.


`\Longrightarrow \Big((5.5+4.3)/(4) \Big) \cdot(2-6)^2+5\\\\\\\\\Longrightarrow \Big((9.8)/(4) \Big) \cdot(-4)^2+5\\\\\\\\\Longrightarrow (2.45) \cdot(-4)^2+5`

(2) Apply Exponentiation:

`\Longrightarrow (2.45) \cdot(-4)^2+5\\\\\\\\\Longrightarrow (2.45) \cdot(-4)(-4)+5\\\\\\\\\Longrightarrow (2.45) \cdot(16)+5`

(3) Apply Multiplication:

`\Longrightarrow (2.45) \cdot(16)+5\\\\\\\\\Longrightarrow 39.2+5`

(4) Final Addition:

`\Longrightarrow 39.2+5\\\\\\\\\therefore \Big((5.5+4.3)/(4) \Big) \cdot(2-6)^2+5 = \boxed{\boxed{44.2}}`


So, the simplified value of the given expression is 44.2.