Answer:
18
Step-by-step explanation:
3:2 means 3/2 or 3÷2
but its better to leave it as
3/2
Answer:
120 - 14 = 106
Step-by-step explanation:
7 x 2 = 14
10 x 12 = 120 therefore you,
120 - 14 = 106
Answer:

General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality
<u>Algebra I</u>
- Functions
- Function Notation
- Coordinates (x, y)
<u>Calculus</u>
Derivatives
Derivative Notation
Antiderivatives - Integrals
Integration Constant C
Integration Rule [Reverse Power Rule]: 
Integration Property [Multiplied Constant]: 
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
Point (0, 18)

<u>Step 2: Find General Solution</u>
<em>Use integration</em>
- [Derivative] Rewrite:

- [Equality Property] Integrate both sides:

- [Left Integral] Integrate [Integration Rule - Reverse Power Rule]:

- [Right Integral] Rewrite [Integration Property - Multiplied Constant]:

- [Right Integral] Integrate [Integration Rule - Reverse Power Rule]:

- Multiply:

<u>Step 3: Find Particular Solution</u>
- Substitute in point [Function]:

- Simplify:

- Add:

- Rewrite:

- Substitute in <em>C</em> [Function]:

Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Integration
Book: College Calculus 10e
First of all, I'm going to assume that we have a concave down parabola, because the stream of water is subjected to gravity.
If we need the vertex to be at
, the equation will contain a
term.
If we start with
we have a parabola, concave down, with vertex at
and a maximum of 0.
So, if we add 7, we will translate the function vertically up 7 units, so that the new maximum will be 
We have

Now we only have to fix the fact that this parabola doesn't land at
, because our parabola is too "narrow". We can work on that by multiplying the squared parenthesis by a certain coefficient: we want

such that:
Plugging these values gets us

As you can see in the attached figure, the parabola we get satisfies all the requests.
Answer: 6,160,000 db
Step-by-step explanation:
The sound of a jet engine is 70,000 times louder than that of a lawn mower.
Since we know the sound of a lawnmower, we can multiply that by 70,000 to find the sound of a jet engine:
= Sound of lawnmower * 70,000
= 88 * 70,000
= 6,160,000 db