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
worty [1.4K]
3 years ago
15

Each dimension of a cube has been increased to twice its original size. If a new cube has a volume of 64000 cubic centimetres wh

at is the area one face of the original cube
Mathematics
2 answers:
Nadya [2.5K]3 years ago
7 0

Answer:

400 cm²

Step-by-step explanation:

The new volume = 64,000 cm³

New length = (new volume)⅓ = (64,000)⅓ = 40cm

Old length = 40 cm ÷ 2 = 20 cm

Area = length² = 20² = 400 cm²

marin [14]3 years ago
4 0

Answer:

400 cm²

Step-by-step explanation:

(side2/side1)³ = Volume2/Volume

2³ = 64000/X

X = 64000/8

X = 8000

Volume = side³

8000 = side³

Each side = 20

Area of a face = side²

= 20² = 400 cm²

You might be interested in
5х + 34 = -2 (1 - 7x) help me solve it step by step !
nataly862011 [7]

5x+34=-2(1-7x)

Steps:

5x+34=-2+14x
5x+34-14x= -2
-9x + 34= -2
-9x = -2-34
-9x = -36
X= -36/-9


Answer: x= 4

6 0
3 years ago
Suppose a couple planned to have three children. Let X be the number of girls the couple has.
sesenic [268]

Answer:

a) {GGG, GGB, GBG, BGG, BBG, BGB, GBB, BBB}

b) {0,1,2,3}

c)

P(X=2) = \dfrac{3}{8}

d)

P(\text{3 boys}) = \dfrac{1}{8}

Step-by-step explanation:

We are given the following in the question:

Suppose a couple planned to have three children. Let X be the number of girls the couple has.

a) possible arrangements of girls and boys

Sample space:

{GGG, GGB, GBG, BGG, BBG, BGB, GBB, BBB}

b) sample space for X

X is the number of girls couple has. Thus, X can take the values 0, 1, 2 and 3 that is 0 girls, 1 girl, 2 girls and three girls from three children.

Sample space: {0,1,2,3}

c) probability that X=2

P(X=2)

That is we have to compute the probability that couple has exactly two girls.

\text{Probability} = \displaystyle\frac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}

Favorable outcome: {GGB, GBG, BGG}

P(X=2) =\dfrac{3}{8}

d) probability that the couple have three boys.

Favorable outcome: {BBB}

P(BBB) = \dfrac{1}{8}

8 0
3 years ago
A box has a volume given by the trinomial x^3+4x^2-5x. What are possible dimensions of the box? Use factoring.
cricket20 [7]
Answer: The correct answer is Choice B.

To factor this expression, we should first factor out the variable x.

We will have:
x(x^2 + 4x - 5)

Now, all we have to do is factor x^2 + 4x - 5.

The factors of this are (x + 5)(x - 1).

If you put all of the factors together, you have: x(x + 5)(x - 1) or Choice B.
6 0
3 years ago
Show that the equation x^3+6x-5=0 has a solution between x=0 and x=1
Mnenie [13.5K]

Answer:

Since the value of f(0) is negative and the value of f(1) is positive, then there is at least one value of x between 0 and 1 for which f(x) =0.

Step-by-step explanation:

The equation f(x) given is:

f(x) = x^3+6x-5

For x = 0. the value of the expression is:

f(0) = 0^3+0-5\\f(0) = -5

For x = 1, the value of the expression is:

f(1) = 1^3+6-5\\f(1)=2

Since the value of f(0) is negative and the value of f(1) is positive, then there is at least one value of x between 0 and 1 for which f(x) =0.

In other words, there is at least one solution for the equation between x=0 and x=1.

6 0
3 years ago
Can anyone please help me determine the slope of the line in the graph.
juin [17]

Answer:

slope = 2

Step-by-step explanation:

To find the slope, we need to read 2 points off the graph.

Where the line crosses the y-axis, the point is (0, 2.5).

The next point up on the line looks like (1, 4.5).

slope = m = (difference in y)/(difference in x)

To find the difference in y and difference in x, subtract the y-coordinates and the x-coordinates, respectively, in the same order.

difference in y = 4.5 - 2.5 = 2

difference in x = 1 - 0

slope = m = (difference in y)/(difference in x) = 2/1 = 2

6 0
3 years ago
Other questions:
  • The Bank of America building in San Francisco is 74 feet shorter than the Transamerica Pyramid. If their combined height is 1632
    8·2 answers
  • What's a proportion that can be used to find out how many points a student needs to reach 78 percent on a 50 point quiz?
    12·1 answer
  • A househusband is cooking beef stew for his family in a pan that is (a) uncovered, (b) covered with a light lid, and (c) covered
    5·1 answer
  • Please help me answer
    13·1 answer
  • What is the answer to #3?
    10·1 answer
  • Doesn’t have an option for science but please help
    10·1 answer
  • In a class of pupils, 13 play the flute and
    9·2 answers
  • Mariko needs about 18 wheelbarrows full of stone for her Japanese garden. Her wheelbarrow has vertical sides with the given shap
    6·1 answer
  • 7th grade math pls help will give brainliest plsss help​
    6·2 answers
  • If my teacher is giving 6 prizes and I am the first one to get the prize. She says it’s in an envelope ✉️ what is it I will give
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!