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:
8/27 is represented in decimal as 0.2962962963
It is one hundred times greater, 7000= 70 x 100
Answer:
The number of expected people at the concert is 8,500 people
Step-by-step explanation:
In this question, we are asked to determine the expected number of people that will attend a concert if we are given the probabilities that it will rain and it will not rain.
We proceed as follows;
The probability that it will rain is 30% or 0:3
The probability that it will not rain would be 1 -0.3 = 0.7
Now, we proceed to calculate the number of people that will attend by multiplying the probabilities by the expected number of people when it rains and when it does not rain.
Mathematically this is;
Number of expected guests = (probability of not raining * number of expected guests when it does not rain) + (probability of raining * number of expected guests when it rains)
Let’s plug values;
Number of expected guests = (0.3 * 5,000) + (0.7 * 10,000) = 1,500 + 7,000 = 8,500 people
Answer:
Step-by-step explanation:
If you add 13 +15 you get 28$ if we were to write that as an integer out of 20 it would be 28/20 but as an improper fraction, it would need to be simplified into 1 and 8/20 ( 1 8/20)
If you are looking how much she lost out of the 20 she lost today it would be 13/20
Hope this helps
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