Answer:
about 23% I think
Step-by-step explanation:
I'm not really sure how to get to this though besides just plugging it into your calculator
1,000 cubic feet because the pyramid is 4000 cubic feet on an area base of 40.
Answer:
Slope of the Curve: 
Equation of Tangent Line: y + 3 = -3/2(x + 2)
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
<u>Algebra I</u>
Point-Slope Form: y - y₁ = m(x - x₁)
- x₁ - x coordinate
- y₁ - y coordinate
- m - slope
<u>Calculus</u>
The definition of a derivative is the slope of the tangent line.
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Quotient Rule: ![\frac{d}{dx} [\frac{f(x)}{g(x)} ]=\frac{g(x)f'(x)-g'(x)f(x)}{g^2(x)}](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%20%5B%5Cfrac%7Bf%28x%29%7D%7Bg%28x%29%7D%20%5D%3D%5Cfrac%7Bg%28x%29f%27%28x%29-g%27%28x%29f%28x%29%7D%7Bg%5E2%28x%29%7D)
Step-by-step explanation:
<u>Step 1: Define</u>
<u />
<u />
<u />
<u>Step 2: Take Derivative</u>
- Quotient Rule:

- Multiply:

- Subtract:

<u>Step 3: Find Instantaneous Derivative</u>
- Substitute in <em>x</em>:

- Exponents:

- Simplify:

This value shows the slope of the tangent line at the exact value of x = 2.
- Substitute: y + 3 = -3/2(x + 2)
Answer:
The solution to the inequality is:

Please also check the graph of the solution to the inequality.
Step-by-step explanation:
Given the inequality

switch sides

Multiply both sides by -1 (reverse the inequality)

Simplify

Multiply both sides by 4

Simplify

Therefore, the solution to the inequality is:

Please also check the graph of the solution to the inequality.