Answer:
a) 250
b) 125
Step-by-step explanation:
For a, the answer is 250 because if 2 regions are labelled 6, and there are 6 regions, and the spinner is spun 750 times, then we will multiply 2 by 750 and divide the answer by 6.
2 x 750 = 1500
1500/6 = 250
Now, for b, the answer is 125 because 3 is the only prime number there and only one region is labelled 3. So we multiply 1 by 750 (which is 750) and divide by 6.
750/6 = 125.
a = 250
b = 125
The answer will be 1 1/15
Answer:
General Formulas and Concepts:
<u>Pre-Algebra</u>
<u>Algebra I</u>
- Functions
- Function Notation
- Exponential Rule [Root Rewrite]:
<u>Algebra II</u>
- Logarithms and Natural Logs
- Logarithmic Property [Multiplying]:
- Logarithmic Property [Exponential]:
<u>Calculus</u>
Derivatives
Derivative Notation
Derivative Property [Multiplied Constant]:
Derivative Property [Addition/Subtraction]:
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Derivative Rule [Chain Rule]:
Logarithmic Derivative:
Implicit Differentiation
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
<em /><em />
<em />
<u>Step 2: Rewrite</u>
- [Equality Property] ln both sides:
- Logarithmic Property [Multiplying]:
- Exponential Rule [Root Rewrite]:
- Logarithmic Property [Exponential]:
<u>Step 3: Differentiate</u>
- ln Derivative [Implicit Differentiation]:
- Rewrite [Derivative Property - Addition]:
- Rewrite [Derivative Property - Multiplied Constant]:
- ln Derivative [Chain Rule]:
- Rewrite [Derivative Property - Addition]:
- Basic Power Rule]:
- Simplify:
- Multiply:
- [Multiplication Property of Equality] Isolate <em>y'</em>:
- Substitute in <em>y</em>:
- [Brackets] Add:
- Multiply:
- Simplify [Exponential Rule - Root Rewrite]:
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Implicit Differentiation
Book: College Calculus 10e
Explanation
The shaded area represents a segment. This can be solved with the formula below;
Since the triangle is an equilateral triangle, it implies that the angle subtended at the centre is 60 degrees. Also, the given radius is 7 cm
Answer:
Answer: 2x^2+ 9x +16+ 24x- 17/ x^2- 2x +1
Step-by-step explanation: