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3 years ago

Explain why rounding the baby's age to the nearest month is not sensible.

Mathematics

1 answer:

Verdich [7]3 years ago

6 0

Answer:

Its not sensible because the baby has not turned that age yet.

Step-by-step explanation:

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<img src="https://tex.z-dn.net/?f=-3%5Csqrt%7B45y%C2%B3%7D" id="TexFormula1" title="-3\sqrt{45y³}" alt="-3\sqrt{45y³}"

GarryVolchara [31]

Answer:

-9A · √(5yA)

Step-by-step explanation:

The coefficient -3 stays the same.

45 factors into 5·9, which is helpful because 9 is a perfect square.

Thus, √45 = 3√5.

y cannot be factored. It stays under the radical.

A³ can be factored into A² (a perfect square) and A.

Thus,

-3√(45yA³) = -3 · 3√5 · √y · A · √A, or

= (-3)(3)(A) · √(5yA), or

= -9A · √(5yA)

4 0

3 years ago

Complete the following statement of congruence: A. TRS B. RTS C. STR D. RST

Aliun [14]

Answer:

B. △RTS

Step-by-step explanation:

△MON ≅ △RTS

4 0

2 years ago

Find the derivative of

kirill [66]

Answer:

$\displaystyle y'(1, \frac{3}{2}) = -3$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Coordinates (x, y)
Functions
Function Notation
Terms/Coefficients
Exponential Rule [Rewrite]: $\displaystyle b^{-m} = \frac{1}{b^m}$

Calculus

Derivatives

Derivative Notation

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

Step 1: Define

$\displaystyle y = \frac{3}{2x^2}$

$\displaystyle \text{Point} \ (1, \frac{3}{2})$

Step 2: Differentiate

[Function] Rewrite [Exponential Rule - Rewrite]: $\displaystyle y = \frac{3}{2}x^{-2}$
Basic Power Rule: $\displaystyle y' = -2 \cdot \frac{3}{2}x^{-2 - 1}$
Simplify: $\displaystyle y' = -3x^{-3}$
Rewrite [Exponential Rule - Rewrite]: $\displaystyle y' = \frac{-3}{x^3}$

Step 3: Solve

Substitute in coordinate [Derivative]: $\displaystyle y'(1, \frac{3}{2}) = \frac{-3}{1^3}$
Evaluate exponents: $\displaystyle y'(1, \frac{3}{2}) = \frac{-3}{1}$
Divide: $\displaystyle y'(1, \frac{3}{2}) = -3$