Answer:

General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Exponential Rule [Root Rewrite]:
![\displaystyle \sqrt[n]{x} = x^{\frac{1}{n}}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Csqrt%5Bn%5D%7Bx%7D%20%3D%20x%5E%7B%5Cfrac%7B1%7D%7Bn%7D%7D)
- 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>
y = ∛x
x = 27
<u>Step 2: Differentiate</u>
- [Function] Rewrite [Exponential Rule - Root Rewrite]:

- Basic Power Rule:

- Simplify:

- Rewrite [Exponential Rule - Rewrite]:

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

- Evaluate exponents:

- Multiply:

Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Derivatives
Book: College Calculus 10e
For this question you should divide both sides of the equaltion by 5 so you ill have:
5z/5 < 30/5
z < 6 :)))
i hope this is helpful
have a nice day
1 kg = 0.001 metric tons..so 14327 kg = (14327 * 0.001) = 14.327 metric tons
and if 1 metric tons saves 17 trees....then 14.327 tons saves : 14.327 * 17 = 243.559 saved trees...and since u cant have 0.559 trees, u would round to 243 trees
The vector v is given by:
v = (7, 2) - (-5, 0)
v = ((7 - (- 5)), (2-0))
v = ((7 + 5), 2)
v = (12, 2)
Then, the angle is given by:
tan (theta) = 2/12
theta = atan (2/12)
theta = 9.46 degrees
Answer:
The direction angle of vector to the nearest tenth of a degree is:
theta = 9.5 degrees