Answer:
1/8 = 2³ * 2⁻⁶
Step-by-step explanation:
2³ * 2⁻⁶ = 2³⁻⁶ = 2⁻³ = 1/2³ = 1/(2*2*2) = 1/8
Answer:
y+1=3(x-4)
Step-by-step explanation:
Hi there!
We are given a slope of 3 and a point (4,-1).
We need to find the equation of the line in point-slope form
Point-slope form is given as y-y1=m(x-x1), where m is the slope, and (x1,y1) is a point
We have all of the needed information to substitute into the formula
First, let's label the values of everything to avoid any confusion
m=3
x1=4
y1=-1
now substitute into the formula *remember, the formula has SUBTRACTION, and we have a NEGATIVE number, so we'll end up subtracting a negative*
y--1=3(x-4)
simplify
y+1=3(x-4)
That's it!
Hope this helps :)
Answer:

General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
<u>Algebra II</u>
- Distance Formula:

Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
Point (21, 13)
Point (3, 13)
<u>Step 2: Find distance </u><em><u>d</u></em>
Simply plug in the 2 coordinates into the distance formula to find distance <em>d</em>
- Substitute in points [Distance Formula]:

- [√Radical] (Parenthesis) Subtract:

- [√Radical] Evaluate exponents:

- [√Radical] Add:

- [√Radical] Evaluate:

Answer:
Using proportions, the pizza parlor should expect 20 breadsticks and 25 calzone orders if there were 100 total orders.
Step-by-step explanation:
Orders:
Salads 3
Pizzas 8
Sides of breadsticks 4
Pepperoni calzones 5
Total orders: 20
Proportion of sides breadsticks=4/20=0.2
Proportion of pepperoni calzones=5/20=0.25
For 100 total orders:
Sides of breadsticks=0.2(100)=20
Pepperoni calzones=0.25(100)=25