15 games since the ratio 9/15 is equal to the ratio 3/5
M=3n
divide both sides by 3
M/3=3n/3
on the left hand side, the numerator constant cuts the denominator 3
therefore, n=M/3
Answer:
g'(0) = 0
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
<u>Pre-Calculus</u>
<u>Calculus</u>
- Derivatives
- Derivative Notation
- The derivative of a constant is equal to 0
- Derivative Property:
![\frac{d}{dx} [cf(x)] = c \cdot f'(x)](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%20%5Bcf%28x%29%5D%20%3D%20c%20%5Ccdot%20f%27%28x%29)
- Trig Derivative:
![\frac{d}{dx} [cos(x)] = -sin(x)](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%20%5Bcos%28x%29%5D%20%3D%20-sin%28x%29)
Step-by-step explanation:
<u>Step 1: Define</u>
g(x) = 8 - 10cos(x)
x = 0
<u>Step 2: Differentiate</u>
- Differentiate [Trig]: g'(x) = 0 - 10[-sin(x)]
- Simplify Derivative: g'(x) = 10sin(x)
<u>Step 3: Evaluate</u>
- Substitute in <em>x</em>: g'(0) = 10sin(0)
- Evaluate Trig: g'(0) = 10(0)
- Multiply: g'(0) = 0
32 slices of pizza. This is cuz 4*8=32
Answer: 226.5 ft²
<u>Step-by-step explanation:</u>
I divided the image into 3 rectangles and 1 triangle.
top rectangle: length = 9, height = 4 --> A = 9 x 4 = 36
middle rectangle: length = 15, height = 7 --> A = 15 x 7 = 105
bottom rectangle: length = 18, height = 4 --> A = 18 x 4 = 72
triangle: base = 9, height = 3 --> A = (9 x 3)/2 = <u> 13.5 </u>
<u>Total </u> = 226.5