Answer:
46.67 cubic feet
Step-by-step explanation:
The formula for volume of a pyramid is
V = (1/3)Bh where B is the area of the base, and h is the height.
We are givne B = 35 and h = 4. Plug those values in and simplify...
V = (1/3)(35)(4)
V = (1/3)(140)
V = 140/3
V = 46 2/3 cubic feet, which is 46.666667, or 46.67 rounded to the nearest hundredth
Answer: Polynomials are algebraic expressions that include real numbers and variables.
Step-by-step explanation:
Division and square roots CANNOT be involved in the variables. The variables can only include ADDITION, SUBTRACTION, and MULTIPLICATION. Polynomials contain more than one term. Polynomials are the sums of monomials.
Answer:
<u />
General Formulas and Concepts:
<u>Calculus</u>
Limits
Limit Rule [Variable Direct Substitution]:
Special Limit Rule [L’Hopital’s Rule]:
Differentiation
- Derivatives
- Derivative Notation
Derivative Property [Addition/Subtraction]:
Derivative Rule [Basic Power Rule]:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Derivative Rule [Chain Rule]:
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify given limit</em>.
<u>Step 2: Find Limit</u>
Let's start out by <em>directly</em> evaluating the limit:
- [Limit] Apply Limit Rule [Variable Direct Substitution]:
- Evaluate:
When we do evaluate the limit directly, we end up with an indeterminant form. We can now use L' Hopital's Rule to simply the limit:
- [Limit] Apply Limit Rule [L' Hopital's Rule]:
- [Limit] Differentiate [Derivative Rules and Properties]:
- [Limit] Apply Limit Rule [Variable Direct Substitution]:
- Evaluate:
∴ we have <em>evaluated</em> the given limit.
___
Learn more about limits: brainly.com/question/27807253
Learn more about Calculus: brainly.com/question/27805589
___
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Limits
Answer:
Sales tax: $352.50
Final Cost: $5052.50
Step-by-step explanation: