A baseball fits snugly inside a transparent display cube. The length of an edge of the cube is 2.9 inches.
Is the baseball’s volume greater than, less than, or equal to cubic inches? Explain how you know.




1. A cube’s volume is 512 cubic units. What is the length of its edge?



2. If a sphere fits snugly inside this cube, what is its volume?



3. What fraction of the cube is taken up by the sphere? What percentage is this? Explain or show your reasoning.

Sorry im a little late but here's how i did it.

Hope this helps! :)

Answer:

2.8x - 7.56

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

Answer:

104 units

Step-by-step explanation:

Given

Shape: Rhombus

[tex]JL = 48[/tex]

[tex]KM = 20[/tex]

Required

Determine the perimeter

The given parameter are the diagonals of the rhombus.

The perimeter (from diagonals) is calculated as thus:

[tex]P = 2\sqrt{(JL)^2 + (KM)^2}[/tex]

Substitute values for JL and KM

[tex]P = 2\sqrt{48^2 + 20^2}[/tex]

[tex]P = 2\sqrt{2304 +400}[/tex]

[tex]P = 2\sqrt{2704}[/tex]

[tex]P = 2 * 52[/tex]

[tex]P = 104[/tex]

Hence, the perimeter is 104 units

Answer:

3(x^2-13x-10)

Step-by-step explanation:

You can only factor out 3, as that is the only thing these have in common.

Answer:

{-12,12}

Step-by-step explanation:

it looks like that I guess

Answer:

6,4

Step-by-step explanation:

F is the whole way out there, away from all the other dots and has a 6,4 coordinate.

Answer:

39 possible outcomes.

Step-by-step explanation:

Since there are 52 cards in a deck and Jane has 3 decks, that would give Jane 156 cards, leaving us to divide that number by 4 because 4 cards are dealt at the start of the game.

Answer:

$25.00+$36.00m

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

As x approaches positive infinity, f(x) approaches positive inifinty.

Answer:

Step-by-step explanation:

We see that the function has positive range and no restriction of domain.

A The range is the set of all real numbers less than 0.

B The domain is the set of all real numbers greater than-4.

C The range is the set of all real numbers greater than 0.

D The domain is the set of all real numbers less than-4.

Answer:

C is the correct answer!!

Step-by-step explanation:

hope this helped!!

Answer:

Equation: p - 3 = 17

Weight of basket of apples = 20 pounds

Step-by-step explanation:

Given that:

Weight of basket of apples = p

Weight of apples eaten by Liang = 3 pounds

Weight of left apples = 17 pounds

According to given statement.

p - 3 = 17

Adding 3 on both sides

p - 3 + 3 = 17 + 3

p = 20 pounds

Hence,

Equation: p - 3 = 17

Weight of basket of apples = 20 pounds

Answer:

Hope this helps

Step-by-step explanation:

I believe the ¨Five less than twice a number" is

[tex]2x-5[/tex]

¨Five times the sum of two numbers¨

[tex]5(x+y)[/tex]

¨The difference of 5 and a number squared¨

[tex](5-x)^{2}[/tex]

Answer:

First Box is:  5 - 2x

Second Box is: 5(x + y)

Third Box is: (5 - x)²

Step-by-step explanation:

The First one said "Five less than twice a number"

The second one said "Five times the sum of two numbers"

The thrird one said "The difference of 5 and a number, squared"

All of these answers seems to fit the descriptions.

Given:

The graph of a line which represents position (m) at time (s).

To find:

The slope of the line.

Solution:

Formula for slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

From the given graph it is clear that the line passes through two points (0,0) and (1,4).

Using the above formula, we get

[tex]m=\dfrac{4-0}{1-0}[/tex]

[tex]m=\dfrac{4}{1}[/tex]

[tex]m=4[/tex]

Therefore, the slope of the line is  4 m/s.

Answer:

4

Step-by-step explanation:

Answer:

Percent change is 19.06%

Step-by-step explanation:

It is given that:

Price before change = £125.99

Price after increase = £150

Change = 150 - 125.99 = £24.01

Percent of change = [tex]\frac{Change}{Price\ before\ change}*100[/tex]

Percent of change = [tex]\frac{24.01}{125.99} * 100[/tex]

Percent of change = 0.1906 * 100

Percent of change = 19.06%

Therefore,

Percent change is 19.06%

Answer:

19.06

Step-by-step explanation:

Answer:

1: So one side is 5

2: Other side is 2

Step-by-step explanation:

1)

4(x+3)+4x=28

Solve

4x+12+4x=28

Combine

8x+12=28

Isolate

8x=16

Isolate

x=2

Substitute

4(2+3)=20

4*2=8

Now find each side

20/4=5

8/4=2

Answer:qe

Step-by-step explanation:

The volume of the baseball is 14 in³.

The volume of a sphere can be calculated using the formula:

V = (4/3)πr³

where V is the volume and r is the radius of the sphere.

We have,

Diameter = 3 inch

radius = diameter / 2 = 3 / 2 = 1.5 inches

Substituting the radius into the volume formula:

V = (4/3) π (1.5)³

V ≈ (4/3) x 3.14 x (1.5)³

V ≈ 14.13 in³

Thus, the volume of the baseball is 14 in³.

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Answer:

20.487%

Step-by-step explanation:

divide the second number by the first. then do one minus that number

Answer:

B, C, D

Step-by-step explanation:

They have the < or > they are inequalities

Answer:

32, 64, 128

Step-by-step explanation:

Let us start by looking at the geometric progression. A geometric progression multiplies each number by a constant, which we can name r, to get the next term. Let us find this constant:

16÷8=2

8÷4=2

Both expressions confirm that our r, the constant, is indeed 2.

To find the next few terms, we simply multiply by r:

1. 16r=16×2=32

2. 32r=32×2= 64

3. 64r= 64×2 = 128

I hope this helps! Please let me know if you have any further questions :)

The required value of the given percentage is 16. "125%" represents 125 parts out of 100, which is equivalent to 1.25 times the original value.

To find 125% of 12.8, we can multiply 12.8 by 1.25.

First, we convert the percentage to decimal form by dividing it by 100. So, 125% becomes 1.25.

Next, we multiply 12.8 by 1.25:

12.8 × 1.25 = 16.

Therefore, 125% of 12.8 is 16.

Multiplying 12.8 by 1.25 increases it by 25% or adds one-quarter of the original value. Thus, the result of 16 represents an increase of 25% from 12.8.

Thus, the required value of the given percentage is 16.

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Answer:

0.23333333333

Step-by-step explanation:

Answer:

7/30

Step-by-step explanation:

first make them both have common denominator

9/10= 27/30

2/3=20/30

they both go into 30 then subtract 27/30 and 20/30

Answer:

its 2.38 ounces in each bag

Step-by-step explanation:

u add all of he numbers then divide by 25. your welcome

Answer:

None, there are no degrees/exponents

Step-by-step explanation:

Hope this is helpful :)

Answer:

has three terms. The first term has a degree of 5 (the sum of the powers 2 and 3), the second term has a degree of 1, and the last term has a degree of 0. Therefore, the polynomial has a degree of 5, which is the highest degree of any term

Answer:

1,423

Step-by-step explanation:

Your average rate is 36.7 miles per hour over nine hours

Average speed is defined as the ratio of the total distance traveled by a body to the total time taken for the body to reach its destination.

In the first 4 hours, you've averaged 33.75 miles per hour, but this is apparently not sustainable, since at 9 hours you've only averaged 36.7 miles/hour.

You continue driving, and calculate that after driving 8 hours you are 255 miles from Seattle. you've averaged 31.8 miles per hour

So the answer is that your average rate is 36.7 miles per hour over nine hours, although you did manage a faster burst of 50 mph for four hours once.

Learn more about the average speed here :

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Answer:

17

Step-by-step explanation:

68/4=17

all 4 sides are equal lengths since it is a square.

Answer:

Step-by-step explanation:

68+68+68+68= (or 68x4) 272 inches

Answer:

Yes, it is a function

Step-by-step explanation:

the definition of a function is "a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output." Our input is represented by x, or the first number in the parentheses, and our output is y, or the second number in the parentheses. Because each x value had exactly one output, or y, it is a function

Answer:

78.54 cm2

Step-by-step explanation:

A = pi ·  r squared

A = 78.54 cm2