Answer:
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Slope Formula:
Step-by-step explanation:
<u>Step 1: Define</u>
Point (6, 8)
Point (5, 5)
<u>Step 2: Find slope </u><em><u>m</u></em>
Simply plug in the 2 coordinates into the slope formula to find slope<em> m</em>
- Substitute in points [SF]:
- [Fraction] Subtract:
- [Fraction] Divide:
The correct answer is C. The form for shifts is (x-h)^2 +k where h=the x variable ( horizontal shift left or right) and k = the y variable (vertical shift up or down) The confusing part for many students is remember that if you are moving left it's subtraction So in the form x-h it is actually x - (-h) so it gets turned into a positive/ addition sign.
Answer: 72 minutes
Step-by-step explanation:
Pipe A can empty the water in 180 minutes = (180/60) =3 hours
Pipe A does 1/ 3 of the job in 1 hour.
Pipe B can empty the water in 120 minutes = (120/60) = 2 hours.
Pipe B does 1/ 2 of thejob in 1 hour.
Together they will do:
1/ 3 + 1/ 2 = 5/6
Together, both pipes will do 5/ 6 of the job in one hour.
To get the total time to completely drain the water will be:
= 60 ÷ 5/6
= 60 × 6/5
= 12 × 6
= 72 minutes
It takes 72 minutes to empty the pool.
Y=f(x) between x=a and x=b, integrate y=f(x) between the limits of a and b
The numerator is 72 and the denominator is 2. 72/2
