The answer is C
If you divide 8 by 200 it becomes 0.04 which is 4/100 in fraction form. If you simplify it then become 1/25.
By the binomial theorem,
Each term containing a factor 6 is divisible by 3, since 3 divides 6. The remaining 1 and 2 sum to 3, which is also divisible by 3.
Answer:
b = 101.52
Step-by-step explanation:
b^2 = a^2 + c^2 - 2ac CosB
b^2 = 105^2 + 9^2 - 2(105)(9) Cos 65°
b^2 = 11 106 - 798.75
b^2 = 10 307.25
b = 101.52
Answer:
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
<u>Calculus</u>
Implicit Differentiation
The derivative of a constant is equal to 0
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Product Rule:
Chain Rule:
Quotient Rule:
Step-by-step explanation:
<u>Step 1: Define</u>
-y - 2x³ = y²
Rate of change of tangent line at point (-1, -2)
<u>Step 2: Differentiate Pt. 1</u>
<em>Find 1st Derivative</em>
- Implicit Differentiation [Basic Power Rule]:
- [Algebra] Isolate <em>y'</em> terms:
- [Algebra] Factor <em>y'</em>:
- [Algebra] Isolate <em>y'</em>:
- [Algebra] Rewrite:
<u>Step 3: Differentiate Pt. 2</u>
<em>Find 2nd Derivative</em>
- Differentiate [Quotient Rule/Basic Power Rule]:
- [Derivative] Simplify:
- [Derivative] Back-Substitute <em>y'</em>:
- [Derivative] Simplify:
<u>Step 4: Find Slope at Given Point</u>
- [Algebra] Substitute in <em>x</em> and <em>y</em>:
- [Pre-Algebra] Exponents:
- [Pre-Algebra] Multiply:
- [Pre-Algebra] Add:
- [Pre-Algebra] Exponents:
- [Pre-Algebra] Divide:
- [Pre-Algebra] Add:
- [Pre-Algebra] Simplify: