determine and interpret the slope and y-intercept of the equation that represents each linear relationship.

Prior to the Romans, who "Latinized" the entire nation and kept it united until the fifth century .

An example of a radical is the square root or nth root. Expressions with square roots are referred to as roots. There is a radical's radicand, which might be a number or word. Examples include the radicals 2y+1 and 7. The following terminology can be used to describe radicals: Radical equations are referred to as equations containing radicals. A "root expression" is the phrase that appears inside the square root. The radical representations of the numbers 2, 372, 2x+7, and 41p are shown. The expression found inside the square root is known as a "root expression." The digits 2, 372, 2x+7, and 41p serve as illustrations of radical representations.

given

Prior to the Romans, who "Latinized" the entire nation and kept it united until the fifth century,

the Etruscans in Tuscany and Umbria and the Greeks in the south.

Jews arrived in Italy during the Roman Republic and stayed there till the present.

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The volume of sphere is 1437.33 if the given radius is 7 .

What is Surface area of sphere ?

Surface area of sphere can be defined as the product of four , pi and square of radius. And here the value of pi could be 3.14 or 22/7 .

Given ,

Volume of a sphere = 4/3πr³

π = 22/7

r = 7

Volume of a sphere = 4/3πr³

= 4/3 * 22/7 * 7³

= 4/3 * 22/7 * 7 * 7 * 7

= (4 * 22 * 7 * 7 * 7) / (3 * 7)

= 30,184/21

= 1437.3333333333

Volume of a sphere = 1,437.33

Therefore, the volume of sphere is 1437.33 if the given radius is 7 .

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Answer:

0.270833333333333333333333333333333333333

We can start by using the following formula to find the original price:

Original price = Sale price / (1 - (Discount percentage / 100))

To use this formula, we need to convert the discount percentage from 26% to a decimal. We can do that by dividing 26 by 100.

Discount percentage as decimal = 26 / 100 = 0.26

Now we can use this value in the formula:

Original price = $469.16 / (1 - 0.26) = $469.16 / 0.74 = $630.22

So the original price of the television set was $630.22.

Answer: 3.333333333 always repeating

Step-by-step explanation: 1/3x10

The equations 3x − y + 8 = 0 and 6x − ky = −16 represent coincident lines. So values of k is 2. The correct option is C.

Given the equation

3x − y + 8 = 0

6x − ky = −16 ⇔ 6x − ky + 16 = 0

Here, a₁ = 3, b₁ = -1, c₁ = 8

and    a₂ = 6, b₂ = -k, c₂ = 16

The equations will only represent coincident lines if the two equations have an infinite number of solutions, then [tex]\displaystyle \frac{a_1}{a_2} = \frac{b_1}{b_2} = \frac{c_1}{c_2}[/tex].

Therefore

[tex]\begin{aligned} \frac{a_1}{a_2} & = \frac{b_1}{b_2} \\ \frac{3}{6} & = \frac{-1}{-k} \\ \frac{1}{2}& = \frac{1}{k} \\ k & = 2\end{aligned}[/tex]

So the value of k is 2

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Answer:Answer is 2,945,208

Step-by-step explanation:Hope it helps tara:)

The mean and standard deviation of the sampling distribution of the sample mean for samples of size 4 is 35.2435.24 and 9.549.54 respectively.

The mean and standard deviation of the sampling distribution of the sample mean for a sample size of 4 is calculated by first taking the population mean, which is 35.2, and dividing it by the square root of the sample size, which is 4. This gives us a mean of 35.2435.24. The standard deviation of the sampling distribution of the sample mean is calculated by taking the population standard deviation, which is 9.5, and dividing it by the square root of the sample size, which is 4. This gives us a standard deviation of 9.549.54. The formula for calculating the mean and standard deviation of the sampling distribution of the sample mean is:

Mean = Population Mean/ √n

Standard Deviation = Population Standard Deviation/ √n

Therefore, the mean and standard deviation of the sampling distribution of the sample mean for samples of size 4 is 35.2435.24 and 9.549.54 respectively.

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The probability of drawing a card that is more than 6 is given as 1 / 2.

The term probability can be defined as the concept in mathematics that has to do with the likelihood that an event is going to have to occur.

In the picture we have values that are numbered from 1 to 12 in the face of all of the cards.

The cards that are greater than 6 here are: [7, 8, 8, 10, 11, 12] = 6

The total numbers in the card are: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12] = 12

Hence the probability of card that is more than 6 = 6 / 12

= 1/2

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$5.20 is a rational number that is not an integer.

What is the rational number?

A rational number, in arithmetic, is a number that can be represented as the quotient p/q of two integers such that q ≠ 0. In addition to all the fractions, the set of rational numbers includes all the integers, each of which can be written as a quotient with the integer as the numerator and 1 as the denominator.

5.20 is a real number which is defined as a number that can be represented on the number line and can be written as a decimal.

It can also be expressed as a ratio of two integers, 5.20 = 52/10 and since it's not a whole number it's not an integer.

But it's a rational number as it can be expressed as the ratio of two integers.

Hence,  $5.20 is a rational number that is not an integer.

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The value of the largest of these numbers is 144.

What is an integer?

Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the equivalent positive numbers are the negative numbers.

Here, we have

Given: 300 is divided into 4 parts such that the first integer number is twice the second, three times the third, and four times the fourth.

We have to find the value of the largest of these numbers.

According to the question:

X: Y: Z: W

1 : 1/2 : 1/3 : 1/4

Now we take LCM of 2, 3, and 4 and we get 12

X: Y: Z: W

1×12 : 1/2×12 : 1/3×12 : 1/4×12

12x : 6x : 4x : 3x

Sum = 12x+6x+4x+3x

300 = 25x

x = 12

Hence, the value of the largest of these numbers is 12(12) = 144.

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The graph of the system of inequalities is the one in the top left.

Here we want to graph the system of inequalities below:

3y ≥ x − 9

x + y > −3

Now we can rewrite the two linear equations in the slope-intercept form to get:

y ≥ (1/3)x − 3

y > -x - 3

So we have two lines, both with an y-intercept at y = -3, one with positive slope (that will be a solid line, due to the symbol ≥) and other witha negative slope, which will be a dashed line.

In both lines, the shaded area is above the line.

Then the correct graph is the first one (top left).

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There are totally six ways to solve the train problems,

Clear and Precise definition

Informational

Brainstorming

Options analysis

Practice

Monitoring

Workplace issues can be resolved in a variety of ways, and the best strategy will depend on the issue's specifics and the situation it arises in. Among the tactics that may be successful are:

         So, by using this points you can solve train problems.

         Therefore ,this 6 points are important to solve train problems.

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The expression for the number of pages read by Soul in the first week is 50 and after that he read 65 pages every week is given by :

option b. 50 + 65w .

As given in the question,

Number of pages read by Soul in the first week is equal to 50.

Number of pages read by Soul in the weeks after first week is 65

Let 'w' represents the number of week

The required expression to represent the given data is :

50 + 65w

Therefore, the expression used to represents the total number of pages read by Soul in the all the week is equal to option b . 50 + 65w.

The above question is incomplete , the complete question is:

Saul reads every week. In his first week of reading, he read 50 pages. Each week after that, he read 65 pages. Which expression represents the total number of pages Saul has read, where w represents the number of weeks since he first started reading.

a.  65w + 15

b. 50 + 65w

c. 65w−15

d.  50 + 65 + w

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The relationship between the independent variable (x) and the dependent variable is depicted by a ratio known as a constant of variation (k) (y).

So long as the matrix is singular, we can use any value of k. Thus, k has an unlimited total value.

The ratio of achievable energy to charge-to-mass in a cyclotron is known as the K value, or bending limit, where is the particle's kinetic energy, is the atomic mass number, and is the charge-to-mass ratio.

A ratio called a constant of variation (k) shows how the independent variable (x) and the dependent variable are related to one another (y). If both of those variables have known values, you can find it by dividing y by x.

In order to obtain k given any position, we must divide the y-coordinate by the x-coordinate because k is constant (the same for every point).

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A ratio of two integers where the denominator is not 0 is a mathematical expression that compares the value of two integers, the numerator, and the denominator.

The ratio expresses the relative size of the numerator to the denominator. The numerator and denominator can be any integers, as long as the denominator is not equal to zero.

For example, the ratio of 3 to 4 is written as 3:4 and it means that for every 4 units, there are 3 units of the numerator. Another example is the ratio of 5 to 2, which is written as 5:2 and it means that for every 2 units, there are 5 units of the numerator.

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The airplane's unit rate of speed in miles per hour is 450.

What is the rate of speed?

"Rate of speed" refers to "acceleration," or the rate at which your speed is varying. Units of "speed" are distances per time (eg miles per hour). Units for "rate of speed" are distance per time.

Here, we have

Given: Kelly flies a distance of 2,100 miles. the trip takes 4 2/3 hours.

Kelly flies at a distance of 2,100 miles

The time taken for the trip is 4 2/3 hours

The rate of speed can be calculated as follows

= 2,100 ÷ 4 2/3

= 2,100 ÷ 14/3

= 2100 × 3/14

= 150 × 3

= 450 miles per hour

Hence, the airplane's unit rate of speed in miles per hour is 450.

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Answer:

x ≥ 11

Step-by-step explanation:

x+7≥18

x ≥ 11

To solve on the number line.

We know it has =, so it will be a close circle to the right of 11.

Answer: 4 apples 10 banana

Step-by-step explanation: 4 apples is 4 dollars + 1/2 of 10 which is 5 = 9

to figure this out I start out adding 1 apple and 1 banana to each side starting with 0 apples and 6 bananas until I got to 9 dollars worth of fruit

The long term rate is defined by r = 3/2.

Probability deals with the likelihood of an event or phenomena occurring and is quantified as a number between 0 and 1 inclusive, where 0 indicates an impossible chance of occurrence and 1 denotes the certain outcome of an event. Joint probability refers to a statistical measure that determines the probability of two events occurring together and at the same point in time. Joint probability is the probability of event Y occurring at the same time that event X occurs. Hence, joint probability is a measure of two events happening at the same time and can only be applied to situations where more than one observation can occur at the same time.

A random variable with probability density function is f(x) = 2x, 0 <x<1.

Let Xi denote the life-time of the ith component , then Sn = ∑Xi represents the time of the nth failure. The long-term rate failures occur, is defined by

[tex]r = \lim_{n \to \infty} \frac{n}{S_n}[/tex]

Let Xi denote the ith component and understand that X1, X2,.., is a sequence of independent and similarly distributed random variables, with finite mean.

[tex]Mean = E[Xi] = \int\limits^0_1 {xf(x)} \, dx = \int\limits^0_1 {2x^{2} } \, dx = \frac{2}{3}[/tex]

So,

[tex]r = \lim_{n \to \infty} \frac{n}{S_n} = \frac{1}{Mean} = \frac{3}{2}[/tex]

Thus, the long term rate is defined by r = 3/2.

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The long term rate is defined by r = 3/2.

Probability deals with the likelihood of an event or phenomena occurring and is quantified as a number between 0 and 1 inclusive, where 0 indicates an impossible chance of occurrence and 1 denotes the certain outcome of an event. Joint probability refers to a statistical measure that determines the probability of two events occurring together and at the same point in time. Joint probability is the probability of event Y occurring at the same time that event X occurs. Hence, joint probability is a measure of two events happening at the same time and can only be applied to situations where more than one observation can occur at the same time.

A random variable with probability density function is f(x) = 2x, 0 <x<1.

Let Xi denote the life-time of the ith component , then Sn = ∑Xi represents the time of the nth failure. The long-term rate failures occur, is defined by

[tex]r = \lim_{n \to \infty} \frac{n}{S_n}[/tex]

Let Xi denote the ith component and understand that X1, X2,.., is a sequence of independent and similarly distributed random variables, with finite mean.

[tex]Mean = E[X_i] = \int\limits^0_1 {x} f(x) \, dx =\int\limits^0_1 {2x^2} \, dx =\frac{2}{3}[/tex]

So,

[tex]r = \lim_{n \to \infty} \frac{a_n }{S_n} = \frac{1}{mean} = \frac{3}{2}[/tex]

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There are 9 adult tickets in the group.

Two or more expressions with an Equal sign is called as Equation.

Given that the cost of adult ticket is $13.75  each

The cost of  children’s ticket is $9.50

Total cost of the movie tickets was $161.75

The total number of people are 13.

By given information we construct two equations

x+y=13

13.75x+9.5y=161.75

x=13-y

Now 13.75(13-y)+9.5y=161.75

178.75-13.75y+9.5y=161.75

178.75-4.25y=161.75

Subtract 178.75 on both sides

-4.25y=161.75-178.75

-4.25y=-17

Divide both sides by 4.25

y=4

x=9

Hence, there are 9 adult tickets in the group.

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The equation that can be used to predict the number of owners who own a driving game is d = (p*N)/100 where p is the percentage of the population that owns a driving game, and N is the population size and based on the sample, Jaime can predict that 102 video game owners own a driving game.

Sample proportion, p is

p = 24/ 80

A. The equation used to predict the number of owners who own a driving game is:

d = (p*n)/100

Where d is the number of owners who own a driving game, p is the percentage of the population that owns a driving game, and n is the sample size.

B. Based on the sample, Jaime can predict that:

d = (24/80) * 340 = 102

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Answer:

d. all real numbers greater than or equal to 2

Step-by-step explanation:

...

The system of linear inequalities that represents the situation are x + y ≤ 20, x ≤ 15 and y ≤ 10.

Linear inequalities are defined as those expressions which are connected by inequality signs like >, <, ≤, ≥ and ≠ and the value of the exponent of the variable is 1.

Given that,

Let x represent the number of surfperch y represent the number of rockfish.

Gaming laws allow you to catch no more than 15 surfperch per day.

x ≤ 15

Gaming laws allow you to catch no more than 10 rockfish per day.

y ≤ 10

Gaming laws allow you to catch no more than 20 total bottomfish per day.

x + y ≤ 20

Hence the system of inequalities are  x + y ≤ 20, x ≤ 15 and y ≤ 10.

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All of the functions given have a domain of all real numbers since none of them have any restrictions on the input values.

Every function has a domain, which is the set of all valid input values. If a function has a domain of all real numbers, it means that it can accept any real number as an input. All of the functions given in the question have a domain of all real numbers because none of them have any restrictions on the input values. For example, in the function y=-x½+5, there are no restrictions on x, so any real number is accepted as an input. This is true for all of the functions given in the question, so they all have a domain of all real numbers. This means that any real number can be used as input for these functions, and the corresponding output will be calculated accordingly.

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7 Children were in attendance.

18 adults were in attendance.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

Number of children at party = 25

Dinner cost of a child = $ 5

Dinner cost of an Adult = $ 22

Total cost of dinner = $ 431

let x be the number of children in party.

and, y be the number of adults in party.

According tot the Question,

x + y = 25 ....................(1)

5x + 22y = 431 ..................(2)

Solving the above equation we get

5 ( 25- y) + 22y = 431

125 - 5y + 22y= 431

17y = 306

y= 18

and, x = 25- 18 = 7

Hence, 18 adults and 7 children attended.

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The distributive property when rewritten would be : [-18]a + [-17]b

According to the distributive property, it is mandatory to multiply each of the two numbers by the factor before adding them together when a factor is multiplied by the sum or addition of two terms. A (B+ C) = AB + AC is one way to represent this property symbolically.

Sometimes referred to as the distributive law of multiplication and division, the distributive property has two parts.

When we solve out [-18]a + [17]b, we would get the first part of the question which is

-(18a - 17b)

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