If his water to cement ratio is 20 to 30, this means that if he uses 20 liters of water, he'd use 30 liters of cement.
The total mixture would then be 20+30=50 liters.
and the water would be 20/50=0.4 or 40% of the total mixture.
Answer:
1. x^2−16
2. x^3+27
3. x^3−4x^2
4. x^2−9
Explanation: Step-by-step
1. Let's simplify step-by-step.
x2−16
There are no like terms.
2. Let's simplify step-by-step.
x3+27
There are no like terms.
3. Let's simplify step-by-step.
x3−4x2
There are no like terms.
4.Let's simplify step-by-step.
x2−9
There are no like terms.
<span>Ok
First Subtract 0.5, Then add 0.2.
After that Multiply 0.5 then add 0.5
</span>
Answer:
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
- Left to Right
<u>Algebra I</u>
- Terms/Coefficients
- Functions
- Function Notation
- Graphing
<u>Calculus</u>
Area - Integrals
Integration Rule [Reverse Power Rule]:
Integration Rule [Fundamental Theorem of Calculus 1]:
Integration Property [Addition/Subtraction]:
Area of a Region Formula:
Step-by-step explanation:
*Note:
<em>Remember that for the Area of a Region, it is top function minus bottom function.</em>
<em>Also remember that finding area and evaluating are two different things.</em>
<u>Step 1: Define</u>
f(x) = x
g(x) = x³
Bounded (Partitioned) by x-axis
<u>Step 2: Identify Bounds of Integration</u>
<em>Find where the functions intersect (x-values) to determine the bounds of integration.</em>
Simply graph the functions to see where the functions intersect (See Graph Attachment).
Interval: [-1, 1]
1st Integral: [-1, 0]
2nd Integral: [0, 1]
<u>Step 3: Find Area of Region</u>
<em>Integration.</em>
- Substitute in variables [Area of a Region Formula]:
- [Area] Rewrite Integrals [Integration Property - Subtraction]:
- [Area] [Integrals] Integrate [Integration Rule - Reverse Power Rule]:
- [Area] Evaluate [Integration Rule - FTC 1]:
- [Area] [Brackets] Add/Subtract:
- [Area] Add:
Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Area Under the Curve - Area of a Region (Integration)
Book: College Calculus 10e