what is 2 ⅛ as improper fraction​

Answer:

its just 8 hun

Step-by-step explanation:

sorry its already complex

Answer:

3/8

Step-by-step explanation:

To find the volume of the inscribed cube, we need to determine the edge length of the cube first. Let's denote the edge length of the inscribed cube as "x".

In a cube inscribed in a sphere, the diameter of the sphere is equal to the diagonal of the cube. Therefore, the diameter of the sphere is equal to the space diagonal of the large cube, which is given as 9 inches.

The space diagonal of a cube with edge length "a" can be found using the Pythagorean theorem:

Diagonal² = a² + a² + a²

Diagonal² = 3a²

Since the diameter of the sphere is 9 inches, we can write:

3a² = 9²

3a² = 81

a² = 81 / 3

a² = 27

a = √27

a = 3√3

Now we know the edge length of the large cube, which is 3√3 inches. The volume of a cube is given by V = a³, where "a" is the edge length.

Volume of the inscribed cube:

V = (3√3)³

V = 3³ * (√3)³

V = 27 * 3

V = 81 cubic inches

Therefore, the volume of the inscribed cube is 81 cubic inches.

The volume of the cube inscribed in the sphere, given the sphere is inscribed in a cube with an edge length of 9 inches, is 81 cubic inches.

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Answer:

480 in³

Step-by-step explanation:

The formula to find the volume of a container is L×B×H (Length×Breadth×Height). So to make this simpler, label the bigger container as 'A' and the smaller container 'B'.

Container 'A' (Volume):

Length×Breadth×Height

5 in×8 in×10 in = 400 in³  

Container 'B' (Volume):

Length×Breadth×Height

4 in×4 in×5 in = 80 in³

To find the total volume, add both values together:

400 in³+ 80 in³ = 480 in³

Answer: 480 in³

Hope this helps!

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The false statement about a rational function is C. A rational function can actually intersect a vertical asymptote.

Based on the terms "rational", "function", and "vertical", the false statement among the given options is B. Every rational function has a horizontal asymptote. This is because not all rational functions have a horizontal asymptote; some might have a slant or oblique asymptote instead, or no asymptote at all. The false statement about a rational function is C. A rational function can actually intersect a vertical asymptote. Vertical asymptotes occur when the denominator of a rational function equals zero at a certain value of x. However, the numerator of the function may not necessarily be zero at that same value of x, which means that the function can still intersect the vertical asymptote.

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Answer:

Step-by-step explanation:

69420 hello my name is 69420

D

S

Ed

D

Answer:

what models

Step-by-step explanation:

Answer: B) No, because not all of the pairs represent the same ratio

For each row, divide y over x

Row 1:  y/x = 5/3 = 1.67 approximately

Row 2: y/x = 7.4 = 1.75

Row 3: y/x = 10/6 = 1.67 approximately

Row 4: y/x = 15/9 = 1.67 approximately

We see that row 2 has a ratio different from the others. If we were able to ignore this row, then the answer would be "yes x and y are proportional". However, we cannot ignore this row so that's why the answer is choice B.

We want to see if the relationship between x and y is proportional or not.

We will see that the correct option is B:

"No, because not all of the pairs represent the same ratio."

Let's see how to solve this.

First, a proportional relationship is something of the form:

y = k*x

Where k is the constant of proportionality.

So to see if the relationship between x and y is proportional, we can input the pairs on the general proportional relationship.

For the first pair, we have x = 3 and y = 5, then:

5 = k*3

Now we can find the value of k:

k = 5/3 = 1.667

Now let's do the same for the second pair of points, we should get the same constant of proportionality.

7 = k*4

k = 7/4 = 1.75

So we got different constants of proportionality for two different x-y pairs, thus, the relationship is not proportional.

Because k is defined as the ratio between y and x, we can say that the relationship is not proportional because not all of the pairs represent the same ratio.

Thus the correct option is B.

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Number of Folds | Style 1 Number of Sections | Style 2 Number of Sections:

From the table, the pattern relating the number of folds to the number of sections for Style 1 (accordion-style) is that the number of sections doubles with each additional fold. In other words, the number of sections is equal to 2 raised to the power of the number of folds. For Style 2 (half-folds), the pattern is less clear, but we can observe that the number of sections increases more rapidly with each additional fold than it does for Style 1. This is likely due to the fact that each fold in Style 2 creates two new sections, whereas in Style 1, each fold only creates one new section.

The two different folded styles of paper produce different results because they create different shapes and arrangements of rectangular sections when folded. In Style 1 (accordion-style), each fold creates a single new section that is added to the end of the folded paper. The result is a long, thin strip of paper with rectangular sections stacked on top of each other. In contrast, Style 2 (half-folds) creates a zig-zag pattern of rectangular sections that are stacked on top of each other. Each fold in Style 2 creates two new rectangular sections, which allows the number of sections to increase more rapidly than in Style 1. This difference in the way the paper is folded and the resulting shapes and arrangements of rectangular sections leads to different patterns in the number of sections as the number of folds increases.

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Answer:

2y92+83(n83-5)+12

Step-by-step explanation:

well if you carry the 4 and move the decimal over 3 places and divide by a hamsterball & justin biebers nipple, you get the answer

The expression (1+x)/(x-2)=4 is a rational equation.

The expression 5x >= (2)/(2x-1) is a rational inequality.

The expression f(x) = (x²-7)/(x+2)-3 is a rational function.

The expression (x+2)/(x-2) = y+3 is a rational equation.

Let's analyze each expression to determine whether it represents a rational function, rational equation, rational inequality, or none of these:

(1+x)/(x-2)=4

This is a rational equation because it involves an equation with rational expressions on both sides.

5x ≥ (2)/(2x-1)

This is a rational inequality because it involves an inequality with rational expressions.

f(x) = (x²-7)/(x+2)-3

This is a rational function because it represents a function where both the numerator and denominator are polynomial expressions.

(x+2)/(x-2) = y+3

This is a rational equation because it involves an equation with rational expressions on both sides.

In summary:

The expression (1+x)/(x-2)=4 is a rational equation.

The expression 5x ≥ (2)/(2x-1) is a rational inequality.

The expression f(x) = (x²-7)/(x+2)-3 is a rational function.

The expression (x+2)/(x-2) = y+3 is a rational equation.

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Answer:

x = 2.5

Step-by-step explanation:

Ok so 4.5 + x = 7; we want to find x:

x = 7 - 4.5

x = 2.5

Hope this helps you, im going to sleep

Answer:3940

Step-by-step explanation:

Answer:

- 40p + 13

Step-by-step explanation:

Given

3 - 10(4p - 1) ← distribute the parenthesis by - 10

= 3 - 40p + 10 ← collect like terms

= - 40p + 13

Answer:

15/12

Step-by-step explanation:

\(x = \frac{31}{12} - \frac{8}{6} = \frac{15}{12} \)

and it says don't reduce otherwise u could also say 5/4

Solution

For this case we have a non regular polygon

so then we can conclude that the answer is:

False

Since some polygons can have symmetry lines

The solution of the system of equation is (5, 8).

We want to find the ordered pair that is a solution of both equations:

3y + x = 29

y = -4x + 28

So we have a system of equations.

To do so, we can use the substitution method and replace the second equation into the first one.

3*(-4x + 28) + x = 29

Now we can solve this for x, we will get:

3*(-4x + 28) + x = 29

-12x + 84 + x = 29

-11x = 29 - 84

-11x = -55

x = 55/11 = 5

And the y-value is given by evaluating one of the two equations in x = 5.

y = -4*5 + 28

y = 8

The solution is (5, 8).

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The highest common factor of the numbers 210 and 308 is 4.

The highest factor of the two numbers which divides both the numbers is called as greatest common factor or HCF.

The highest common factor will be calculated by finding the factors of the two numbers. The factors of the two numbers are as follows:-

308   =  2 x  2   x  7  x  11

210   =  2  x  2   x  3  x  17

We can see that the 2  x  2  =  4 is the highest factor which is common between the two numbers 210 and 308. So 4 is the HCF which can divide both the numbers 210 and 308.

Therefore the highest common factor of the numbers 210 and 308 is 4.

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Answer:

25.5 mi

Step-by-step explanation:

12 22.5  X

Let X be the shortest distance we are trying to find.

a units 2 b units 2 c units 2

12 units 2 + (22.5)=c units 2

144+506.25=c units 2

650.25=c units 2

\(\sqrt{x} 650.25\)=c units 2

25.5

$1,722.40 is required to settle the two scheduled payment.

Step 1  Figure out how much interest for 1 month for the $700.00 for 2 months loan  = $37.20

Step 2 Then multiple that by 2 = 2*37.20

                                                   = $74.40

Step 3 Add $600.00 and $74.40 together = 600 + 74.40

                                                                       = $674.40

Step 4 Figure out how much interest for 1 month of the $800 for 5 months loan = $49.60

Step 5 Then multiply that by 5 = 5*49.60

                                                   = $248.00

Step 6 Add $800.00 and $248.00 together = 800 + 248.00

                                                                          = $1,048.00

Step 7 Add both $674.40 and $1,048.00 together = 674.40 + 1048.00

                                                                                    = 1,722.40

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Answer:

  102,476

Step-by-step explanation:

If a population grows linearly from 55556 in 2000 to 72760 in 2011, you want the predicted value in 2030 assuming growth continues to be linear.

The change in population is proportional to the change in years:

  (72760 -55556)/(2011 -2000) = (p -55556)/(2030 -2000)

  p = 30(17204)/11 +55556 . . . . . . solve for p

  p = 46920 +55556 = 102,476 . . . . . . do the arithmetic

The population in 2030 will be $102,476.

Answer:

C) -8-11x-2.

Step-by-step explanation:

First solve the expression,

-2(4 - 3x)+(5x-2) = 11x-10

A) 11x-10 = 11x-10

B) -8+11x -2 = 11x-10

C) -8-11x-2 does not equal 11x-10. Instead -8-11x-2 = -11x-10

D) -8+6x+5x-2 = 11x-10

Hope this helped! :)

Answer: B, C, E

Step-by-step explanation: a is wrong 32 tens is 320.  B is right. 321 tenths is 32.1 and 48 thousandths is 0.048 so C is correct. 32,148 hundredths is too much but 32,148 thousandths is 32.148

Answer:

g(x) = 1/2 |x|

Step-by-step explanation:

Scaling f(x) means it's of the form g(x) = a|x|

From the graph, it appears to pass through the point (2, 1). By subbing in the values for this point, the equation can be found to be:

1 = a|2|

a = 1/2

Therefore, g(x) = 1/2 |x|

Answer:

20 \(\frac{3}{4}\) --- 20.75

20 \(\frac{1}{5}\) --- 20.2

20 \(\frac{7}{8}\) --- 20.875

20 \(\frac{4}{5}\) --- 20.8

Step-by-step explanation:

a. To prove the product property for logarithms using a base of 3 and solutions of 3, 9, 27, 81, and 243, we can start with the equation: log3(xy) = log3x + log3y

Let's say we want to find log3(81 * 27)
We know that log3(81) = 4, and log3(27) = 3
So, log3(81 * 27) = log3(81) + log3(27) = 4 + 3 = 7

We can verify this by using the fact that we know the solution of log3(81*27) is 243, and 3^7 = 243.

b. To prove the quotient property for logarithms using a base of 3 and solutions of 3, 9, 27, 81, and 243, we can start with the equation: log3(x/y) = log3x - log3y

Let's say we want to find log3(81 / 27)
We know that log3(81) = 4, and log3(27) = 3
So, log3(81 / 27) = log3(81) - log3(27) = 4 - 3 = 1

We can verify this by using the fact that we know the solution of log3(81/27) is 9, and 3^1 = 9.

c. To prove the power property for logarithms using a base of 3 and solutions of 3, 9, 27, 81, and 243, we can start with the equation: log3(x^n) = n*log3x

Let's say we want to find log3(81^3)
We know that log3(81) = 4
So, log3(81^3) = 3 * log3(81) = 3 * 4 = 12

We can verify this by using the fact that we know the solution of log3(81^3) is 243, and 3^12 = 243.

In all the above examples, we can see that the properties are upheld, and we can use the log3(y) values of 3, 9, 27, 81, and 243 to prove the Product, Quotient and Power property of logarithms with base 3.

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Approximately 47.5% of data on a normal distribution is less than the mean while being within two deviations of the mean.

For a normal distribution, we know that about 68% of the data falls within one standard deviation of the mean on either side. This means that approximately 34% of the data falls between one and two standard deviations from the mean. Since the normal distribution is symmetrical, we can assume that half of this 34% falls to the left of the mean, which gives us 17%.

Then, we add this to the 34% that falls within one standard deviation of the mean on either side to get 51% of the data within two standard deviations of the mean. Since the normal distribution is continuous, we round to the nearest tenth of a percent, which gives us approximately 47.5%.

Therefore, approximately 47.5% of the data on a normal distribution is less than the mean while being within two deviations of the mean.

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The radius of convergence of the power series in x8n is 8r.

1. The radius of convergence of a power series in xn is the distance from the origin (x = 0) to the closest point at which the power series diverges.

2. To calculate the radius of convergence of the power series in x8n, we must consider that the power series is a power series in xn, but with an exponent of 8.

3. This means that the distance from the origin to the closest point at which the power series diverges is 8 times the distance from the origin to the closest point at which the power series in xn diverges.

4. Therefore, the radius of convergence of the power series in x8n is 8r, where r is the radius of convergence of the power series in xn.

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Answer:

48.67

Step-by-step explanation:

31 divided by 2 = 15.5 which is the radius

15.5 times by 3.14(pi) = 48.67

Answer:

it’s in the first one

Step-by-step explanation:

so it’s quadrant I.

Answer:

its A. Quadrant 1

Step-by-step explanation:

I had a test on it :)

Answer:

second answer - think im right

Step-by-step explanation:

Answer:

B

The second answer

Step-by-step explanation:

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