The answer
let A= 2^3 and B=3^2
the main formula is as following:
a^n = axaxax ....xa (n times), for all n upper than or equal 1
for example
a^3 = a x ax a
in our case
A= 2^3 = 2x2x2= 4x2 =8
B=3^2 = 3x 3= 9
so, Luther's evaluation was wrong, by contrast <span>Wade evaluated 32 as 9 correctly
</span>
Answer:
h = 2.86479 cm
General Formulas and Concepts:
<u>Symbols</u>
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Geometry</u>
Volume of a Cylinder Formula: V = πr²h
- <em>r</em> is radius
- <em>h</em> is height
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
<em>V</em> = 81 cm³
<em>r</em> = 3 cm
<u>Step 2: Solve for </u><em><u>h</u></em>
- Substitute in variables [Volume of a Cylinder Formula]: 81 cm³ = (3.14)(3 cm)²h
- Evaluate exponents: 81 cm³ = (3.14)(9 cm²)h
- Multiply: 81 cm³ = (28.2743 cm²)h
- [Division Property of Equality] Divide 28.2743 cm² on both sides: 2.86479 cm = h
- Rewrite: h = 2.86479 cm
Answer:
Step-by-step explanation:
Combine any like terms on each side of the equation: x-terms with x-terms and constants with constants. Arrange the terms in the same order, usually x-term before constants. If all of the terms in the two expressions are identical, then the two expressions are equivalent.
Let the consecutive odd integers be x, x+2.
Given,
3(x + 2) = 4x -5
3x + 6 = 4x - 5
x = 11
Hence, the consecutive odd integers are 11 and 13.