9514 1404 393
Answer:
420 mm³
Step-by-step explanation:
The volume is given by the formula ...
V = Bh
where B is the area of the triangular base, and h is the height.
The triangular base area is given by the formula ...
A = 1/2bh
A = 1/2(10.5 mm)(10 mm) = 52.5 mm²
Then the volume of the prism is ...
V = (52.5 mm²)(8 mm) = 420 mm³
Write an equation to find the number of each type of ticket they should sell.Let "x" be # of adult tickets; Let "y" be # of student tickets: Value Equation: 5x+3y=450-------------------------- b. Graph your equation.y = (-5/3)x+150
c. Use your graph to find two different combinations of tickets sold.I'll leave that to you.
Answer:
v=0
Step-by-step explanation:
Answer:

General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Distributive Property
<u>Algebra I</u>
<u>Calculus</u>
Derivatives
Derivative Notation
Derivative of a constant is 0
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Derivative Rule [Product Rule]: ![\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Bd%7D%7Bdx%7D%20%5Bf%28x%29g%28x%29%5D%3Df%27%28x%29g%28x%29%20%2B%20g%27%28x%29f%28x%29)
Step-by-step explanation:
<u>Step 1: Define</u>

<u>Step 2: Differentiate</u>
- [Derivative] Product Rule:
 + (-8s - 9)\frac{d}{ds}[(-4s + 2)]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20h%27%28s%29%20%3D%20%5Cfrac%7Bd%7D%7Bds%7D%5B%28-8s%20-%209%29%5D%28-4s%20%2B%202%29%20%2B%20%28-8s%20-%209%29%5Cfrac%7Bd%7D%7Bds%7D%5B%28-4s%20%2B%202%29%5D)
- [Derivative] Basic Power Rule:

- [Derivative] Simplify:

- [Derivative] Distribute [Distributive Property]:

- [Derivative] Combine like terms:

Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Derivatives
Book: College Calculus 10e
Answer:40.85
Step-by-step explanation:
43x5/100=2.15
43-2.15= 40.85