answer.
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
wolverine [178]
2 years ago
5

A cube has side length a. The side lengths are decreased to 50% of their original size. Write an expression in simplest form for

the volume of the new cube in terms of a.
Mathematics
1 answer:
vaieri [72.5K]2 years ago
6 0

Answer:

  V = a³/8

Step-by-step explanation:

The volume of the original cube is the cube of the side length:

  V = a³

When the side length is reduced to half its former value, the new volume is ...

  V = (a/2)³ = a³/2³

  V = a³/8 . . . . volume of the new cube

You might be interested in
A bookstore owner has 48 science fiction books and 30 mysteries he wants to sell quickly. He will make discount packages with on
Nuetrik [128]

Answer:


the science fiction books and five mystery books in each package. This is because 6 is the highest common factor of both 48 and 30, and 6 x 8 = 48 and 6 x 5 = 30.




7 0
2 years ago
Read 2 more answers
Katie sorted these shapes write a sorting rule to tell how katie sorted
Liono4ka [1.6K]
You can sort them on the shapes that are the same or different
4 0
2 years ago
Read 2 more answers
Josh travels frequently. For a particular airline, it takes 20 minutes for the first bag to arrive in baggage claim after a flig
Orlov [11]

Using the uniform distribution, it is found that:

A,B) 0.3 of the time does it take longer than 27 minutes for Josh’s bag to arrive in baggage claim.

C) 20% of the time does Josh’s bag arrive in less than 22 minutes.

--------------------------

An uniform distribution has two bounds, a and b.  

The probability of finding a value of at lower than x is:

P(X < x) = \frac{x - a}{b - a}

The probability of finding a value between c and d is:

P(c \leq X \leq d) = \frac{d - c}{b - a}

The probability of finding a value above x is:

P(X > x) = \frac{b - x}{b - a}

--------------------------

  • In the graph, we have that the distribution is uniform between 20 and 30 minutes, thus a = 20, b = 30

--------------------------

Itens a and b:

  • Above 27 minutes, thus:

P(X > 27) = \frac{30 - 27}{30 - 20} = 0.3

0.3 of the time does it take longer than 27 minutes for Josh’s bag to arrive in baggage claim.

--------------------------

Item c:

  • Less than 22 minutes, thus:

P(X < 2) = \frac{22 - 20}{30 - 20} = 0.2

0.2*100 = 20%

20% of the time does Josh’s bag arrive in less than 22 minutes.

A similar problem is given at brainly.com/question/15855314

6 0
1 year ago
If T(n) = 2n-7, what is the fifth term?
charle [14.2K]
T(5)=2\cdot5-7=3
8 0
2 years ago
A pet store has 10 ​puppies, including 3 ​poodles, 4 ​terriers, and 3 retrievers. if rebecka and​ aaron, in that​ order, each se
olganol [36]
P(both poodle) = (3/10)(3/10) = 9/100

Answer: The probability of choosing the same puppy is 9/100
6 0
1 year ago
Other questions:
  • Triangle QRS is a right triangle with the right angle at vertex R. The sum of m∠Q and m∠S must be equal to 45°. greater than 45°
    10·2 answers
  • Write the standard form of the line that contains a y-intercept of -3 and passes through the point (3, 0). Include your work in
    5·1 answer
  • 35295 rounded to nearest ten thousand
    6·1 answer
  • Factor
    13·2 answers
  • "The difference between five-halves of a number<br> and 17 is 48."
    9·1 answer
  • The sales tax in your city is 8.8\%8.8%8, point, 8, percent, and an item costs \$63$63dollar sign, 63 before tax.
    12·2 answers
  • After solving the equation x^2+ 9 = 6x, Donna stated that the Fundamental Theorem of Algebra is true for this equation. However,
    15·1 answer
  • An article studied differences between expert and consumer ratings by considering medal ratings for wines, which could be gold (
    10·1 answer
  • A producer of electronic book readers is performing a quality check to ensure the reader's backlight is working correctly. The p
    12·1 answer
  • Hassan's soccer team is trying to raise $688 to travel to a tournament in Florida, so they decided to host a pancake breakfast.
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!