We are given a six-sided cube. To determine the surface area and the volume of the cube, we need to know the area of one side:
All sides of the cube are squares with side, s. The area of one square is
A = s^2
The surface area of a cube is the sum of all areas of the sides. So
SA = 6 sides * s^2
SA = 6s^2
The volume of the cube is
V = s^3
The volume of the cube represents the total solid area of the cube which includes the space inside the solid.
Answer:
8x³ + 12x² - 16x - 16
General Formulas and Concepts:
- Order of Operations: BPEMDAS
- Distributive Property
Step-by-step explanation:
<u>Step 1: Define expression</u>
(4x² - 2x - 4)(2x + 4)
<u>Step 2: Simplify</u>
- Expand: 8x³ - 4x² - 8x + 16x² - 8x - 16
- Combine like terms (x²): 8x³ + 12x² - 8x - 8x - 16
- Combine like terms (x): 8x³ + 12x² - 16x - 16
prime1
/prīm/
Learn to pronounce
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adjective
1.
of first importance; main.
"her prime concern is the well-being of the patient"
Similar:
main
chief
key
primary
central
principal
foremost
first
most important
paramount
major
dominant
supreme
overriding
cardinal
preeminent
ultimate
number-one
fundamental
basic
essential
elemental
vital
Opposite:
secondary
subordinate
2.
of the best possible quality; excellent.
"prime cuts of meat"
Similar:
top-quality
highest quality
top
top-tier
best
first-class
first-rate
high-grade
grade A
superior
supreme
flawless
choice
select
finest
superlative
peak
optimal
model
excellent
marvelous
magnificent
superb
fine
wonderful
exceptional
formidable
top of the range
top of the line
tip-top
A1
stellar
top-notch
Opposite:
inferior
noun
1.
a state or time of greatest strength, vigor, or success in a person's life.
"you're in the prime of life"
Similar:
heyday
best days/years
day
time
prime of one's life
maturity
youth
springtime
salad days
bloom
flowering
full flowering
perfection
peak
pinnacle
height
high point/spot
zenith
ascendancy
2.
CHRISTIAN CHURCH
a service forming part of the Divine Office, traditionally said (or chanted) at the first hour of the day (i.e., 6 a.m.), but now little used.prime1
/prīm/
Learn to pronounce
See definitions in:
All
Mathematics
Religion
Printing
Fencing
Weapons
Building
Mechanics
Motoring
Biochemistry
adjective
1.
of first importance; main.
"her prime concern is the well-being of the patient"
Similar:
main
chief
key
primary
central
principal
foremost
first
most important
paramount
major
dominant
supreme
overriding
cardinal
preeminent
ultimate
number-one
fundamental
basic
essential
elemental
vital
Opposite:
secondary
subordinate
2.
of the best possible quality; excellent.
"prime cuts of meat"
Similar:
top-quality
highest quality
top
top-tier
best
first-class
first-rate
high-grade
grade A
CHRISTIAN CHURCH
a service forming part of the Divine Office, traditionally said (or chanted) at the first hour of the day (i.e., 6 a.m.), but now little used.
Check the picture below.
A)
well, we start off by making a table of values for the function, with a few "t" values, as you see in the picture, then graph those points to get the graph.
B)
at t = 0, h(0) = 98, and at t = 1, h(1) = 82, so it went from 98 to 82, for a difference of 16.
C)
at t = 1, h(1) = 82, and at t = 2 h(2) = 34, so it went from 82 to 34, for a difference of 48.
does it fall the same distance on both intervals? well, they're different, so nope.
This shape is separated into two trapezoids. The equation for the area of a trapezoid is .5(base1 + base2) multiplied by height. Therefore, each half of the compound shape would be equal to .5(12 + 8) * 6 or 10 * 6 = 60. So the area of the total would be 60+60 or 120.
