What number does the roman numeral LVII represent?
57
58
59
60

The sets of ordered pairs that could represent a linear function are A and D.

What is linear function ?

A linear function is a mathematical function that can be graphically represented as a straight line. It has a constant rate of change between any two points, which means that the slope (i.e., the steepness of the line) is constant.

To determine if a set of ordered pairs can represent a linear function, we need to check if there is a constant rate of change (i.e., a constant slope) between any two pairs of points. If there is a constant rate of change, then the set of ordered pairs could represent a linear function.

Let's check each set of ordered pairs:

A = {(-4, 2), (-2, 3), (2, 5), (4, 6)}

The rate of change between (-4, 2) and (-2, 3) is 1/2.

The rate of change between (-2, 3) and (2, 5) is 1/2.

The rate of change between (2, 5) and (4, 6) is 1/2.

Therefore, the set A could represent a linear function.

B = {(1, 2), (3, 4), (5, 6), (6, 8)}

The rate of change between (1, 2) and (3, 4) is 1.

The rate of change between (3, 4) and (5, 6) is 1.

The rate of change between (5, 6) and (6, 8) is 2.

Therefore, the set B could not represent a linear function.

C = {(-1, -1), (0, 2), (1, 4), (2, 6)}

The rate of change between (-1, -1) and (0, 2) is 3.

The rate of change between (0, 2) and (1, 4) is 2.

The rate of change between (1, 4) and (2, 6) is 2.

Therefore, the set C could not represent a linear function.

D = {(2, 9), (4, 6), (5, 3), (6, 0)}

The rate of change between (2, 9) and (4, 6) is -1.5.

The rate of change between (4, 6) and (5, 3) is -3.

The rate of change between (5, 3) and (6, 0) is -3.

Therefore, the set D could represent a linear function.

Therefore,  the sets of ordered pairs that could represent a linear function are A and D.

To learn more about Linear function from given link.

https://brainly.com/question/29281420

#SPJ1

Answer:

By cutting it for example:

Step-by-step explanation:

10/2 ,you can cut 10 from the multiplication table of 2 and the answer is 5.

Answer:

I think the answer is 256.224

Step-by-step explanation:

Answer:

f(x) = -x^2 is a downward parabola.

Step-by-step explanation:

The f(x) = x^2 graph is a parabola pointing up. Therefore, f(x) = -x^2 is a downward parabola.

Answer:

300

Step-by-step explanation:

you have to do 3,000 times 10% then you will get 300 that’s what I have learned for example if you do 30,000 of 10% it would be 3,000.

Answer: 52.64

Step-by-step explanation: add 18.9 and 33.74

Since the parabola intersects the x-axis at (-2,0) and (4,0), those are the roots (or zeros) of the quadratic function. Therefore, the factors of the function are (x+2) and (x-4).

A graph is a visual representation of data or mathematical functions that uses points, lines, and curves to illustrate relationships between variables or values. Graphs are used in many fields, including mathematics, science, engineering, business, and economics, to convey information in a clear and concise way.

There are several types of graphs, each with its own purpose and style. The most common types of graphs include:

Line graphs: These graphs use lines to connect data points and are used to show trends over time.

Bar graphs: These graphs use bars to represent data and are used to compare values between different categories.

Pie charts: These graphs use a circular shape divided into sections to represent proportions or percentages of a whole.

Scatter plots: These graphs use dots to represent data points and are used to show relationships between two variables.

Histograms: These graphs use bars to represent the frequency of data within different intervals or ranges.

Graphs can be created by hand or using software such as Microsoft Excel, MATLAB, or Python. They can also be customized with different colors, labels, and formatting options to improve their clarity and impact.

Overall, graphs are a powerful tool for visualizing data and communicating complex information in a simple and effective way.

To know more about function visit:

https://brainly.com/question/29120892

#SPJ1

The value of 7 after converted into decimals is 7.0.

To convert the integer 7 into a decimal, you simply need to place a decimal point after the 7 and add a zero to the right of the decimal point. This is because in the decimal system, each digit to the right of the decimal point represents a power of 10, starting with 10^-1 or 0.1.

Therefore, 7 can be represented as 7.0 in decimal form. Note that trailing zeros to the right of the decimal point do not change the value of the number. In other words, 7, 7.0, and 7.00 all represent the same value in decimal form.

To know more about Decimals:

https://brainly.com/question/3085611

#SPJ4

The solutions of the differential equation y" - 6y' + 8y = 0 are [tex]y=3e^{2x}[/tex]

and [tex]y = Ce^{4x}[/tex]. So option D II and III only is correct.

A differential equation is an equation including dependent variables and their derivatives concerning independent variables.

Given the equation is y" - 6y' + 8y = 0. This can be written as [tex]\frac{d^2y}{dx^2}-6\frac{dy}{dx}+8y=0[/tex].

Now, let's substitute d/dx = m, and we get,

[tex]\begin{aligned}(m^2-6m+8)y&=0\\m^2-6m+8&=0\\m^2-(4+2)m+8&=0\\m^2-4m-2m+8&=0\\m(m-4)-2(m-4)&=0\\(m-4)(m-2)&=0\\m&=2,4\end{aligned}[/tex]

Then, the general solution will be written as [tex]y(x)=C_1e^{2x}+C_2e^{4x}[/tex]. Then, [tex]y_1=C_1e^{2x}[/tex] and [tex]y_2=C_2e^{4x}[/tex]. Hence, the solution of a given ODE is always this y₁ or y₂ or the combination of these. Therefore, (I) cannot be possible.

Now let's consider (II) and put [tex]y'=6e^{2x}[/tex] and [tex]y"=12e^{2x}[/tex] in the given equation. We get,

[tex]\begin{aligned}12e^{2x}-36e^{2x}+24e^{2x}&=0\\36e^{2x}-36e^{2x}&=0\\0&=0\end{aligned}[/tex]

Hence, (II) is the solution of the given equation and is possible.

Now let's consider (III) and put C₁=0 and we get, [tex]y(x)=C_2e^{4x}=Ce^{4x}[/tex]when C₂=C. Hence, (III) is possible.

Therefore, the correct option is D II and III only.

The complete question is -

Of the following, which are solutions to the differential equation y" - 6y' +8y=0?

I. y = 2 sin(4x)

II. [tex]y=3e^{2x}[/tex]

III. [tex]y = Ce^{4x}[/tex], where C is a constant.

A) I only B) Il only C) Ill only D) II and III only

To know more about differential equations:

https://brainly.com/question/1164377

#SPJ4

A partial fraction calculator is a tool used to decompose a rational function into simpler fractions, known as partial fractions.

A partial fraction calculator is a tool used to decompose a rational function into simpler fractions. It is commonly used in algebra and calculus to simplify complex expressions and solve equations. The partial fraction calculator takes a rational function as input and breaks it down into simpler fractions that can be more easily integrated or manipulated. This process involves finding the partial fraction decomposition of the rational function by factoring the denominator into linear and quadratic factors and then solving for the coefficients of the partial fractions. This calculator can be useful for students, engineers, and anyone working with complex algebraic expressions.

Learn more about partial fractions:

https://brainly.com/question/30404141

#SPJ4

11/21 as a decimal rounded to the nearest tenth is 0.5. Below, you will learn how to solve the problem.

To convert the fraction 11/21 to a decimal rounded to the nearest tenth, we can follow these steps:

For more information about decimal, visit:

https://brainly.com/question/1827193

#SPJ11

Answer:

Area is approximately 113.1

Volume of Cone B is 48 π³ units. We know both cones have same volume because we used the volume formula for cones to equate the volumes of the two cones.

To find the dimensions of Cone B, we need to use the formula for the volume of a cone, which is:

Volume=(1/3) × π × radius² × height

Since the volume of Cone A and Cone B are the same (48 π³ units), we can set up the following equation:

(1/3) × π × 6² × 4

=(1/3)× π × r² × h

Simplifying the equation, we get:

r² × h = 72

We can choose any values of r and h that satisfy this equation. For example, we could choose r = 4 units and h = 9 units. When we enter these numbers into the equation, we obtain:

4² × 9 = 72

This is a valid solution, as Cone B with radius 4 units and height 9 units would have a volume of: Volume = (1/3) × π × 4² × 9 = 48 π³ units

Therefore, Cone A and Cone B have the same volume of 48 π³ units, which we know because we used the volume formula for cones to equate the volumes of the two cones.

To learn more about volume click here

brainly.com/question/1984638

#SPJ4

We converted the measurement of 6 ft x 6 ft to inches using a conversion factor of 12 inches per foot, resulting in a total area of 5,184 square inches.

Measurement is an important aspect of our daily lives, and it involves quantifying the size, length, or dimensions of an object or space. Different units of measurement are used to express the size or length of an object, depending on the context or purpose.

The measurement of 6 ft x 6 ft is the size or area of a square-shaped object, where each side is 6 ft long. To convert this measurement to inches, we need to use a conversion factor that relates feet to inches. One foot is equal to 12 inches, so we can multiply each side of the square by 12 to get the corresponding measurement in inches.

6 ft x 12 inches/ft = 72 inches

Therefore, the measurement of 6 ft x 6 ft in inches is 72 inches x 72 inches, which equals 5,184 square inches. This means that if we had a square-shaped object with sides measuring 6 feet, the total area of the object would be 5,184 square inches.

To know more about measurement here.

https://brainly.com/question/4725561

#SPJ4

The state diagrams of the DFAs can recognize the different languages  over the alphabet {0,1}.  the DFAs for the following languages are

a. {w| w begins with a 1 and ends with a 0},

b. {w| w contains at least three 1s},

c. {w| w contains the substring 0101 (i.e., w = x0101y for some x and y)},

d. {w| w has length at least 3 and its third symbol is a 0},

e. {w| w starts with 0 and has odd length, or starts with 1 and has even length},

f. {w| w doesn’t contain the substring 110},

g. {w| the length of w is at most 5},

h. {w| w is any string except 11 and 111},

i. {w| every odd position of w is a 1},

j. {w| w contains at least two 0s and at most one 1}.

a. The DFA recognizing the language {w | w begins with a 1 and ends with a 0} is:

    --> q0 -- 1 --> q1 -- 0 -->

   /                           \

  1                             0

 /                               \

* q2                               q3

where q0 is the start state and q3 is the accepting state.

b. The DFA recognizing the language {w | w contains at least three 1s} is:

       --> q1 -- 1 --> q2 -- 1 --> q3 -- 1 --> q4 -->

      /                                              \

     0                                                0

    /                                                  \

* q0                                                      q5

where q0 is the start state and q5 is the accepting state.

c. The DFA recognizing the language {w | w contains the substring 0101}

    --> q1 -- 0 --> q2 -- 1 --> q3 -- 0 --> q4 -- 1 --> q5 -->

   /                                                           \

  1                                                             1

 /                                                               \

* q0                                                               q6

where q0 is the start state and q6 is the accepting state.

d. The DFA recognizing the language {w | w has length at least 3 and its third symbol is a 0} is:

    --> q1 -- 0 --> q2 -->

   /                     \

  1                       1

 /                         \

* q0                         q3

where q0 is the start state and q3 is the accepting state.

e. The DFA recognizing the language {w | w starts with 0 and has odd length, or starts with 1 and has even length} is:

    --> q1 -- 0 --> q2 -- 1 --> q3 -- 0 --> q4 -- 1 --> q5 -->

   |                                                           |

   1                                                           0

   |                                                           |

* q0                                                           q6

   |                                                           |

   0                                                           1

   |                                                           |

    --> q7 -- 1 --> q8 -- 0 --> q9 -- 1 --> q10 -- 0 --> q11 -->

where q0 and q7 are the start states and q6 and q11 are the accepting states.

f. The DFA recognizing the language {w | w doesn’t contain the substring 110} is:

    --> q1 -- 0 --> q2 -->

   /                     \

  1                       1

 /                         \

* q0                         q3 -- 0 --> q4

                               \

                                1

                                 \

                                  q5

where q0 is the start state and q3 and q5 are the accepting states.

g. The DFA recognizing the language {w | the length of w is at most 5} is:

 --> q1 -- 0 --> q2 -- 0 --> q3 -- 0 --> q4 -- 0 --> q5 -- 0 --> q6

*                      |                      |                      |

                       1                      1                      1

                       |                      |                      |

                       v                      v                      v

                       q7                     q8                     q9

where q1 is the start state and q1, q2, q3, q4, q5, q6, q7, q8, q9 are the accepting states.

h. The DFA recognizing the language {w | w is any string except 11 and 111} is:

* q0                         q2 -- 1 --> q4

   \                     /           |          

    0 -- any input --> q5            | any input

                                    v

                                    q6 -- any input --> q6

where q0 is the start state and q2, q3, q4, and q5 are the accepting states.

i. The DFA recognizing the language {w | every odd position of w is a 1} is:

    --> q1 -- 1 --> q2 -- 1 --> q3 -- 1 --> q4 -- 1 --> q5 -- 1 --> q6

   |                                                                   |

   0                                                                   0

   |                                                                   |

* q0                                                                   q7

   |                                                                   |

   1                                                                   1

   |                                                                   |

    --> q8 -- 1 --> q9 -- 1 --> q10 -- 1 --> q11 -- 1 --> q12 -- 1 --> q13

where q0 and q8 are the start states and q7 and q13 are the accepting states.

j. The DFA recognizing the language {w | w contains at least two 0s and at most one 1} is:

    --> q1 -- 1 --> q2 -- 0 --> q3 -- 0 --> q4

   |                                           |

   0                                           1

   |                                           |

* q0                                           q5

   |                                           |

   1                                           0

   |                                           |

    --> q6 -- 0 --> q7 -- 0 --> q8 -- any input --> q8

where q0 and q6 are the start states and q5 and q8 are the accepting states.

To know more about DFAs:

https://brainly.com/question/30508032

#SPJ4

Using pattern, The sum of the digits obtained when you divide (1024 - 1) by 11 is 12.

In the real world, in artificial design, or in abstract concepts, a pattern is a regularity. As a result, a pattern's components repeat in a predictable way. An example of a geometric pattern is one that repeats geometric shapes, much like a wallpaper pattern would. Patterns can be immediately observed with any sense.

Given that 99=11×9;  1001=11×91 and 9999=11×909

(1024-1) = 11 * x

x = 1023 ÷ 11

x = (990 + 33) ÷ 11

x = (90* 11 + 3*11) ÷ 11

x = 90 + 3

x = 93

So the sum of digits is 9 + 3 = 12

To learn more about pattern visit:

brainly.com/question/29202476

#SPJ1

The value of sin 1 is 0.841.

It is needed to find the value of the sine function of 1.

Let's take it in radians since it is not mentioned whether the angle is in degrees or radians.

The sine function is the function which is defined as the ratio of the opposite to the hypotenuse o a right triangle.

So consider the right triangle with one of the angles as 1 radian or 57.296 degrees, then find the ratio of the opposite side to the hypotenuse.

The value is :

sin(1 radian) = 0.841

Hence the sine of 1 is 0.841.

Learn more about Sine Functions here :

https://brainly.com/question/12015707

#SPJ12

The formula for calculating the z-score is z = (x-μ)/σ.

where x is the raw score, μ is the population mean, and σ is the population standard deviation. As the formula suggests, the Z-score is simply the raw score minus the population mean divided by the population standard deviation.

A positive Z-score indicates that the raw score is higher than the average. For example, a z-score of +1 is one standard deviation above the mean.

A negative z-score indicates that the raw score is below average. For example, a Z-score of -2 is two standard deviations below the mean.

Another way to interpret z-scores is to create a standard normal distribution (also known as the z-score distribution or probability distribution).

know more about z-score click here;

https://brainly.com/question/15016913

#SPJ4

Answer:

The answer might be B. $11, 796 i'm not sure

The sequence of transformations performed by Isabella is Rotate 90° clockwise about the origin; translate 10 units down.

A transformation is a process that manipulates a polygon or other two-dimensional object on a plane or coordinate system.

Given that, Luther drew on his graph paper. After performing a series of transformations, Isabella drew. we need to find the transformations performed by Isabella,

We see, that, the sequence performed by Isabella is a rotation of 90°, from the origin, also the image is 10 units down to the original figure.

Hence, the sequence of transformations performed by Isabella is Rotate 90° clockwise about the origin; translate 10 units down.

Learn more about transformations, click;

https://brainly.com/question/11709244

#SPJ9

The complete question :-

A ceramic paperweight is shaped like a square pyramid. the height of the paperweight is 1 inch.

What is Pythagorean Theorem?

Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“. The sides of this triangle have been named Perpendicular, Base, and Hypotenuse.

To find the height of the paperweight, we can use the Pythagorean Theorem, which relates the lengths of the sides of a right triangle.

In this case, the height of the paperweight, which is the unknown side, forms a right triangle with one of the slant heights and half the length of the square base, as shown in the diagram below:

     /\  

    /   \

   /      \

  /         \

 /_ _ _ _\

     4 in

To apply the Pythagorean Theorem, we can write:

height² + (1/2 * 4 in)² = 3 in²

Simplifying, we get:

height² + 8 in² = 9 in²

Subtracting 8 in² from both sides, we get:

height² = 1 in²

Taking the square root of both sides, we get:

height = 1 in

Therefore, the height of the paperweight is 1 inch.

To learn more about the Pythagorean Theorem visit:

https://brainly.com/question/21332040

#SPJ1

Answer:

It would be zero

Step-by-step explanation:

Answer:

about 30.9 feet

Step-by-step explanation:

Using the Pythagorean Theorem:

[tex] {l}^{2} + {10}^{2} = {32.5}^{2} [/tex]

[tex] {l}^{2} = 956.25[/tex]

[tex]l = 30.9[/tex]

Answer: 13

Step-by-step explanation:

Firstly, you would plug in the values that you were given for x and y into the equation.

((4 * (3) * (2)) + (2))/2 = 13

Answer:

13

Step-by-step explanation:

(4xy+y) ÷ 2

= (4x3x2+2) ÷ 2

= 26 ÷ 2

= 13

The standard error of mean is a technique for calculating the sampling distribution's standard deviation.

A technique for assessing the standard deviation of a sampling distribution is standard error of the mean. The acronym SEM stands for standard error of the mean, which is another name for it. For instance, in a sample space, the sample mean is often the projected population mean value. But, if we choose another sample from the same population, the result can be different.

As a result, a population of the sampled means with unique variance and means will emerge. The standard deviation of such a sample mean, which includes all feasible samples taken from the same specified population, could be referred to as the standard error of mean. SEM is an approximation of standard deviation that was determined from the sample.

The standard error of the mean (SEM) demonstrates how the mean changes when the same quantity is evaluated in various tests. Consequently, the SEM will be higher if the outcome of random fluctuations is crucial. Yet if repeated attempts fail to reveal any change in the data points, the standard error of the mean will be equal to zero.

Learn more about Standard error of mean:

https://brainly.com/question/22554353

#SPJ4

The number 713.49 is already written in standard form.

Standard form, also known as standard notation or scientific notation, is a way of writing numbers using digits and decimal places. In standard form, a number is written with one digit to the left of the decimal point and the remaining digits to the right of the decimal point.

For example, the number 7,134.9 would be written in standard form as 7,134.9. The number 713.49 is already written in this format, so there is no need to convert it to standard form.

More information aboud decimals here: https://brainly.com/question/28393353

#SPJ11

Answer:

x=1

Step-by-step explanation:

To find the value of "x", we can start by setting up an equation based on the information given in the problem:

3 + x = 2x - 2

To solve for "x", we can simplify the equation by subtracting "x" from both sides and adding 2 to both sides:

3 + x - x = 2x - 2 - x + 2

3 = x + 2

Finally, we can solve for "x" by subtracting 2 from both sides:

x = 1

Therefore, the number we're looking for is 1.

Answer:

K=27/2

Step-by-step explanation:

Hope this helps!

Answer: k = 27/2 = 13 1/2 = 13.5

Step-by-step explanation: Brainliest? That answer is right. I just solved it

Since in the figure, m || n, the value of x is equal to 13.

In Mathematics, corresponding angles can be defined as a postulate (theorem) which states that corresponding angles are always congruent when the transversal intersects two (2) parallel lines. This ultimately implies that, the corresponding angles will be always equal (congruent) when a transversal intersects two (2) parallel lines.

By applying corresponding angles theorem to lines a and b, we have the following:

∠m ≅ ∠n

7x - 1 = 8x - 14

8x - 7x = 14 - 1

x = 13

Read more on parallel lines here: brainly.com/question/16959398

#SPJ1