1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
IceJOKER [234]
3 years ago
12

The length of each side of a cube is x + 1 inches. What is the volume of the cube in cubic inches?

Mathematics
1 answer:
castortr0y [4]3 years ago
3 0

Answer:

V = x³ + 3x² + 3x + 1 in³

Step-by-step explanation:

The volume (V) of a cube is calculated as

V = s³ ( where s is the side ) , then

V = (x + 1)³

   = (x + 1)(x + 1)(x + 1) ← expand second pair using FOIL

   = (x + 1)(x² + 2x + 1) ← distribute

   = x³ + 2x² + x + x² + 2x + 1 ← collect like terms

   = x³ + 3x² + 3x + 1

You might be interested in
Tyler selects one card from the three(4,5, and a King), and rolls a number cube. What is the probability that she selects the 5,
Svet_ta [14]

\frac{1}{3}Answer:

2/9

Step-by-step explanation:

given that Tyler selects one card from the three(4,5, and a King), and rolls a number cube.

We find that A the event of selecting one card and B getting a number on rolling a number cube are independent events.

No of cards = 3

Prob of selecting 5 from 3 cards = P(1,2,3, or 4) = \frac{2}{3}

When rolling a number cube (assuming fair) there is equally likely for all numbers to appear from 1 to 6

Prob of getting 5 =\frac{1}{6}

Prob of getting less than 5 =

Since these two events are independent,

the probability that she selects the 5, and rolls a number less than 5

= Product of probabilities

= \frac{1}{3}*\frac{2}{3}

=\frac{2}{9}

6 0
3 years ago
Which of the following is a multiple of 2?
docker41 [41]
The answer is a because if you divide 1000 by 2 you get 500 and the other ones you get a decimal.

6 0
3 years ago
Determine weather the rule represents an exponential function. EASY 40 POINTS
joja [24]
<h3>Answer: Since the independent variable x is not the exponent, y = 3x^3 is <u>not</u> an exponential function (choice D)</h3>

Exponential functions are something like y = 2^x where the variable is in the exponent (ie the exponent isnt a fixed number). What is given here, y = 3x^3, is a cubic function. You can also call this a power function. Power functions are of the form a*x^b, where a & b are constants.

5 0
3 years ago
Use the diagram to complete the statements.
Jlenok [28]

Answer:

1. congruent

corresponding

2.supplementary

same side interior

Step-by-step explanation:

7 0
3 years ago
What is the slope of the line shown below?
Nookie1986 [14]
It would be C because using the methof of rise over run, the change in x is 6 while the change in y is 17. So 14/6 woll get you 7/3.
6 0
3 years ago
Read 2 more answers
Other questions:
  • A car travels 208 miles on 10 gallons of gasoline. Mentally calculate the number of miles that the car travels on 1 gallon of ga
    9·1 answer
  • Write the following comparison as a ratio reduced to lowest terms 14 nickels to 15 dimes​
    15·1 answer
  • Please help me out with this.....
    15·2 answers
  • The coordinates of AB are A(-5, -1) and B(-2, -6). If AC : CB = 3 : 7, what are the coordinates of point C?
    11·1 answer
  • The area of a gymnasium floor is 264 aquare yards. The floor is 11 yards wide. How long is the foor
    14·1 answer
  • ? x (3 + 2) = 12 + 8 What's the number that goes into the question mark?​
    13·2 answers
  • A triangle with vertices A(0,0), B(6,0), and C(0,9) is rotated 360 about the y-axis. What is the volume of the figure?
    7·1 answer
  • 11) А=<br> 9 cm<br> 4 cm<br> What is the area
    15·1 answer
  • There are 12 marbles in a box. 8 are purple, and 4 are green. What is the probability of picking a purple marble and then a gree
    11·1 answer
  • to go to a movie, a family with 2 adults and 4 children spends 64.00. a family containing 1 adult and 3 children spends 42.00. f
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!