Step-by-step explanation:
12a-9a>-12+6
3a>-6/:3
a>-2
Answer:
200 → 400 → 800 → 1600 → 3200
Step-by-step explanation:
starting at 200 and multiplying by 2 until you have 5 numbers.
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
Answer:
Step-by-step explanation:
Your answer
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<em><u>Complete Question:</u></em>
A colony of flowers is pollinated by hummingbirds and sunbirds. Let H represents the number of hummingbirds and S represent the number of sunbirds that must pollinate the colony so it can survive until next year.
6H+ 4S> 74
This year, 8 hummingbirds pollinated the colony. What is the least number of sun birds that must pollinate the colony to ensure that it will survive until next year?
<em><u>Answer:</u></em>
The least number of sun birds is 7
<em><u>Solution:</u></em>
Given inequality is:
6H + 4S > 74
Where,
H is the number of hummingbirds
S is the number of sunbirds
This year, 8 hummingbirds pollinated the colony
Substitute H = 8 in given inequality
6(8) + 4S > 74
48 + 4S > 74
Subtract 48 from both sides
48 + 4S - 48 > 74 - 48
4S > 26
Divide both sides by 4
S > 6.5
Hence the least number of sun birds is 7