Answer:
g'(0) = 0
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
<u>Pre-Calculus</u>
<u>Calculus</u>
- Derivatives
- Derivative Notation
- The derivative of a constant is equal to 0
- Derivative Property:
![\frac{d}{dx} [cf(x)] = c \cdot f'(x)](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%20%5Bcf%28x%29%5D%20%3D%20c%20%5Ccdot%20f%27%28x%29)
- Trig Derivative:
![\frac{d}{dx} [cos(x)] = -sin(x)](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%20%5Bcos%28x%29%5D%20%3D%20-sin%28x%29)
Step-by-step explanation:
<u>Step 1: Define</u>
g(x) = 8 - 10cos(x)
x = 0
<u>Step 2: Differentiate</u>
- Differentiate [Trig]: g'(x) = 0 - 10[-sin(x)]
- Simplify Derivative: g'(x) = 10sin(x)
<u>Step 3: Evaluate</u>
- Substitute in <em>x</em>: g'(0) = 10sin(0)
- Evaluate Trig: g'(0) = 10(0)
- Multiply: g'(0) = 0
I found the complete problem.
If Alice divides it into two trapezoids, the area formula would be: A = [(a+b) / 2] * h
Trapezoid 1
A = [(7.5 + 15)/2 * 5
A = (22.5/2) * 5
A = 11.25 * 5
A = 56.25 sq. ft
Trapezoid 2
A = [(5 + 10)/2 * 7.5
A = (15/2) * 7.5
A = 7.5 * 7.5
A = 56.25 sq. ft
Total area = 56.25 + 56.25 = 112.50 sq. ft.
Answer:
(3) 
and 
(4) 
Step-by-step explanation:
Question 3
Required
Solve for x and y
We have:
--- angle on a straight line
Collect like terms
Solve for x
Also:
---- opposite angles
So, we have:
Divide by 2
Question 4:
Required
Solve for x
We have:
---- angle at right-angled
Collect like terms
Divide by 16
Start by writing it out like this:
17.50
<u>* 2.48 </u>
Make sure that all the places are in correct order. Notice that I added a ZERO in the place that had nothing there.
Move the decimal point so everything is a whole number. You have moved it 4 times.
Now, starting from 8, multiply it by 0, then 5, then 7, and lastly, 1. Now go to the next number (4) and do the same, this time though, put a zero in the first spot. Every new number, add another zero.
After you are done, add them up. Now move the decimal point starting from the right and into the number 4 times. Take out the zeros.
Your answer should be: 43.4
If 6people are in a row
flute players will be 2x6= 12
trombone players will be 8
12+8= 20 people altogether
