Answer:

General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Coordinates (x, y)
- Functions
- Function Notation
- Terms/Coefficients
- Exponential Rule [Rewrite]:

<u>Calculus</u>
Derivatives
Derivative Notation
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Step-by-step explanation:
<u>Step 1: Define</u>
<u />
<u />

<u>Step 2: Differentiate</u>
- [Function] Rewrite [Exponential Rule - Rewrite]:

- Basic Power Rule:

- Simplify:

- Rewrite [Exponential Rule - Rewrite]:

<u>Step 3: Solve</u>
- Substitute in coordinate [Derivative]:

- Evaluate exponents:

- Divide:

Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Derivatives
Book: College Calculus 10e
Answer:
15/32
Step-by-step explanation:
Answer:
The greatest amount of fizzy drink he can make is 480 ml
Step-by-step explanation:
The ingredients for a fizzzy drink is 5 parts lime juice and 3 parts lemonade
Therefore, we have a total portion of 5 + 3 = 8 parts
Since there ar more parts of lime juice per fizzy drink, we calculate based on lime juice
Also dividing the proportions by we get
5/5 part lime juice and 3/5 parts lemonade or
1 part lime juice and 3/5 parts lemonade or
Thus we have 300 ml lime juice and 3/5× 300 ml lemonade or
300 ml lime juice and 180 ml lemonade = 480
The greatest amount of fizzy drink he can make = 480 ml.
Answer:
3. 25
4. 22,31,46
5. One reason beth might not want to join is because she would be the oldest person in the club. according to the stem and leaf chart the oldest person currently in the class is 55 and the next few down are all in their 40s.
Step-by-step explanation:
question 3 is 25 because the median is the middle number, which in this case is 25. question 4 you got correct but there are multiple modes for this set of data being 22,31,46 because all of these numbers tie with 2 of them being repeated throughout the table. question 5 just shows that beth would be the oldest in the club by a marginal number too so that is why beth might not want to join the club.