Estimate the following difference by replacing each fraction with 0, 12, or 1.

78−611=?

The equation of the linear relationship in slope-intercept form is y = -6x + 303.

Slope intercept is an equation used to describe the relationship between an independent and dependent variable. It is written in the form y = mx + b, where m is the slope, x is the independent variable, and b is the y-intercept. The slope intercept equation can be used to draw a line on a graph, which can then be used to make predictions about the dependent variable given a certain value for the independent variable.

The equation of the linear relationship in slope-intercept form can be determined by looking at the table. The slope of the linear relationship is given by the change in y for a given change in x, which in this case is -6. The intercept can be determined by looking at the y-value when x is 0, which in this case is 303. Therefore, the equation of the linear relationship in slope-intercept form is y = -6x + 303.

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The domain of x³ is all real numbers.

The domain of a function is the set of all possible input values. In this case, x³ is a polynomial function, and its domain is all real numbers. This means that any real number can be used as an input value, and the corresponding output value can be calculated using the function. For example, if x = 3, then the output of x³ will be 27. Similarly, if x = -1, then the output of x³ will be -1. Thus, any real number can be used as an input value for the function, making the domain of x³ all real numbers.

The domain of x³ is all real numbers.

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Both eggs and chicken are found in a salad. The salad contains a combined 6 pounds of chicken and eggs. There is twice as much chicken as eggs in it. The equations for the salad system are x+2y=6.

A set of one or more equations comprising numerous variables is referred to as a system of equations. The variable mappings that satisfy all component equations are the solutions of systems of equations, or the points where the components of these equations overlap. Graphing, the substitution method, and the elimination method are the three methods for solving systems of linear equations in two variables.

Graphing, substitution, elimination, and matrices are the four ways to solve systems of equations. equations simultaneously, or a system of equations Multiple equations in algebra must be solved concurrently (i.e., the solution must satisfy all the equations in the system). There must be an equal number of equations and unknowns for a system to have a singular solution. There is no certainty of a solution even then.

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Therefore , the solution of the given problem of confidence interval comes out to be Nearest values are (48.1%, 61.9%) choice c is the best one.

The 68-95-99.7 Rule states that 95% of values fall between the range of  2 standard deviations, hence to calculate the 95% confidence interval, you add or remove two standard deviation from the mean.

Here,

The level of assurance is 0.99.

=>1-α=0.99

=> α=1-0.99

=> α = 0.01

A 99% confidence interval again for population proportion is then

p±Za =√p(1-p)/n

=>0.55 ±Zooo₅ √0.2475/ 336

=>0.55± (2.58) √0.2475/ 336

=>0.55±0.0700

=>(0.55-0.0700, 0.55+0.0700)

= >(0.48,0.62)

=(48%,62%)

Nearest values are (48.1%, 61.9%).

Therefore, choice c is the best one.

Therefore , the solution of the given problem of confidence interval comes out to be Nearest values are (48.1%, 61.9%) choice c is the best one.

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a) The exponential function for the situation is V(t) = 60000(0.9)^t.

b) After 6 years the value of the equipment will be $31886.46.

c) The price of the equipment will be half of its original price after 6.6 years.

What is an exponential function?

The formula for an exponential function is f(x) = a^x, where x is a variable and a is a constant that serves as the function's base and must be bigger than 0.

The price of weaving equipment = $60000.

The depreciation rate per year = 10%

The depreciation value will be -

= (1 - 10%)

= 1 - (10/100)

= 1 - 0.10

= 0.9

Let the time in years be measured in t.

The equation for value after t years will be -

V(t) = 60000(0.9)^t

This is an exponential equation.

To find the value of equipment 6 years after purchase, substitute the value of t = 6.

V(t) = 60000(0.9)^t

V = 60000(0.9)^6

V = 60000 × 0.531441

V = 31886.46

Therefore, the value of equipment will be $31886.46.

To find the time at which the value of the equipment will be half its price, substitute the value of V(t) = 30000.

V(t) = 60000(0.9)^t

30000 = 60000(0.9)^t

(0.9)^t = 60000/30000

(0.9)^t = 2

t ln (0.9) = ln (2)

t =  ln (2)/ln (0.9)

t = 0.301/0.0457

t = 6.58 ≈ 6.6

Therefore, after 6.6 years the value of the equipment will be $30000.

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The solutions to the equation 2xy - 10x = 9 are x = 1/2 and y = 5, and x = 9/2 and y = 6.

The equation 2xy - 10x = 9 can be written as 2xy - 10x - 9 = 0.

This equation can be factored as (2x - 1)(y - 6) = 0.

From this, we can see that the solutions to this equation must satisfy either 2x - 1 = 0 or y - 6 = 0.

If 2x - 1 = 0, then x = 1/2. Substituting this into the original equation yields 2 × 1/2 × y - 10 × 1/2 = 9, which simplifies to y - 5 = 0. Thus, a solution is x = 1/2 and y = 5.

If y - 6 = 0, then y = 6. Substituting this into the original equation yields 2x × 6 - 10x = 9, which simplifies to 12x - 10x = 9, or 2x = 9. Thus, a solution is x = 9/2 and y = 6.

Therefore, the solutions to the equation 2xy - 10x = 9 are x = 1/2 and y = 5, and x = 9/2 and y = 6.

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A polygon with n sides has an angle total of 2880, as is known.The nth side's count must be determined.This means that a polygon has 18 sides.

A polygon with n sides has an angle total of 2880, as is known.The nth side's count must be determined.This means that a polygon has 18 sides.

A polygon is a closed, two-dimensional, flat shape with straight sides that is bound by geometry.The sides of it are not curled.

Polygonal edges are another name for the sides of a polygon.

For example ,

The vertex (or corner) of a polygon is the place where two sides come together. 18° × n = 360°

n = 360/18 = 20

20 sides make up the polygon.

The total amount of interior angle measurements will be...

sum of interior angles: 20(180° -18°) = 3240°

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The degree of the polynomial x³ 9x² 3x 5 is 3. The degree of a polynomial is the highest power of the variable in the polynomial. In the polynomial x³ 9x² 3x 5, the highest power of the variable is 3, which means that the degree of the polynomial is 3.

The degree of a polynomial is the highest power of the variable in the polynomial. In the polynomial x³ 9x² 3x 5, the highest power of the variable is 3, which means that the degree of the polynomial is 3.

The degree of a polynomial is the highest power of the variable present in the polynomial. In the polynomial x³ 9x² 3x 5, the highest power of the variable is 3, which means that the degree of the polynomial is 3. This can be easily determined by looking at the highest exponent of the variable in the polynomial. The degree of the polynomial indicates the complexity of the polynomial and the number of solutions it has. It is important to know the degree of a polynomial as it is necessary to determine the number of terms in the polynomial, the type of polynomial, and its root values. Knowing the degree of a polynomial also helps in determining the type of graph that the polynomial will produce. Furthermore, the degree of a polynomial can also be used to determine the number of turning points and the behavior of the graph. Hence, the degree of a polynomial is an important concept and needs to be understood in order to solve polynomials effectively.

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Answer:

Step-by-step explanation:

adult ticket = x   student ticket = y

3y + 1x=38

3y + 2x = 52

Simplify the first equation to get x by itself

3y + 1x = 38

-3y         - 3y

------------------

1x = 38 - 3y

Now put the equation for x into the second equation and solve for y

3y + 2(38 - 3y) = 52

3y +76 - 6y = 52

-3y + 76 = 52

-3y = 52 - 76

-3y= - 24

y = 8

So the student ticket costs $8

Plug the value for y back into the original equation.

3y + x = 38

3 x 8 +x = 38

24 + x = 38

so x = 14

a student ticket is $8 and an adult ticket is $14

you can check your work

3(8) + 14 = 38

Answer:

Step-by-step explanation:

-3x + 18y = -12

3x - 18y = 4

0 ≠ -8

no solution

Formula which represents the partitioning of the given line segment is given by :

Internal partition is : [(mx₂ + nx₁)/ ( m + n), (my₂ + ny₁)/ ( m + n)]

External partition is : [(mx₂ - nx₁)/ ( m - n), (my₂ - ny₁)/ ( m - n)]

As given in the question,

Let PQ be the line segment.

Its coordinate are :

P (x₁ , y₁) and Q (x₂ , y₂)

If the partition of the line segment divided internally in the ratio m : n then its coordinate ( x, y) given by :

( x ,y ) = [(mx₂ + nx₁)/ ( m + n), (my₂ + ny₁)/ ( m + n)]

If the partition of the line segment divided externally in the ratio m : n then its coordinate ( x, y) given by :

( x ,y ) = [(mx₂ - nx₁)/ ( m - n), (my₂ - ny₁)/ ( m - n)]

Therefore, the formula representing the partition of the line segment are:

Internal partition is : [(mx₂ + nx₁)/ ( m + n), (my₂ + ny₁)/ ( m + n)]

External partition is : [(mx₂ - nx₁)/ ( m - n), (my₂ - ny₁)/ ( m - n)]

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There are 720 possible dinner specials.

To calculate the number of dinner specials, we need to multiply the number of options for each course.

The number of dinner specials is the product of the number of options for each course:

So,

3 x 3 x 4 x 5 x 4 = 720 possibilities

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The number of guests that will not let her divide the party favors to be evenly divided is:

numbers other than 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Number of party favors = 60

The factors of 60 are 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60.

i.e

2 x 30 = 60

3 x 20 = 60

4 x 15 = 60

5 x 12 = 60

6 x 10 = 60

10 x 6 = 60

12 x 5 = 60

15 x 4 = 60

20 x 3 = 60

30 x 2 = 60

60 x 1 = 60

This means,

The number of guests other than the factors of 60 will not let her divide the party favors evenly.

Thus,

The number of guests in order for the party favors being evenly divided are

2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60.

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For the given circumcenter H of the triangle BCD , the measure of the following are :

CD =64 , CE = 26 , HD = 33 , GD = 29 , HG =15.8 , HF = 8.1

As given in the question,

In the given triangle BCD,

H is the circumcenter.

Circumcenter is formed by the intersection of the perpendicular bisectors.

From the attached figure ,

F is the midpoint of CD

CD = 2FD

      = 2(32)

      = 64

E is the midpoint of BC

CE = BE

     = 26

HD = HC

     = 33

G is the midpoint BD

GD = ( 1/2 ) BD

     = (1/2)58

     = 29

In right angled triangle HGD

HG = √HD² - GD²

      = √33² - 29²

      = 15.8

HF = √HD² - FD²

      = √33² - 32²

      = 8.1

Therefore, for the given triangle BCD with H as circumcenter the required measure are:

CD =64 , CE = 26 , HD = 33 , GD = 29 , HG =15.8 , HF = 8.1

The above question is incomplete , the complete question is:

If H is the circumcenter of triangle BCD, find each measure. CD, CE, HD, GD, HG, HF.

Diagram is attached.

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Tammy needs to sell total 26 t-shirts in order to make a profit of $51.

Let, total number of t-shirts sold by Tammy= x

since, she made $3 for each t-shirt.

therefore, total profit made by selling x t-shirts= $3x

therefore, Net Profit= (Total Profit made by selling t-shirts)- (total expenditure)

            $51=$3x-$27

           ∴ $3x= $51+$27=$78

           ∴x =$78/$3=26

Therefore, Tammy needs to sell total 26 t-shirts in order to make a profit of $51.

Hence, the answer is 26.

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Answer :

To find the equation of the line containing the median that passes through point C, we first need to find the midpoint of segment AB. The coordinates of A and B are given as (-4, -2) and (4, 4) respectively, so we can find the x-coordinate of the midpoint by averaging the x-coordinates of A and B, and the y-coordinate of the midpoint by averaging the y-coordinates of A and B.

The midpoint is:

((-4+4)/2, (-2+4)/2) = (0, 1)

To find the slope of the median we will use the point slope form, which is:

y - y1 = m(x - x1)

We know that point C is (18, -8), and the midpoint is (0, 1)

The slope (m) will be:

m = (y2 - y1) / (x2 - x1) = (-8 - 1) / (18 - 0) = -9/18

We can now use point slope form and substitute the point and the slope:

y - (-8) = (-9/18) (x - 18)

To convert it to slope-intercept form we will solve for y:

y = (-9/18)x + (8/9 + 18/9) = -1/2x + 2

The equation of the line containing the median that passes through point C in slope-intercept form is y = -1/2x + 2

The area of the actual parallelogram will be the same as the area of the parallelogram on the map.

Area is the measure of the size of a two-dimensional surface or shape. It is usually expressed in square units such as square feet, square meters, or square kilometers. It is a fundamental concept in mathematics and is used in many different fields, such as geometry, architecture, engineering, engineering design, and physics. Area can be calculated using a variety of methods, such as the use of formulas, algorithms, and calculators. It is also used in everyday life, such as to calculate the size of a room, the amount of paint needed to cover a wall, or the amount of land needed for a garden.

This is because the map is a scaled representation of the actual parallelogram, meaning the ratio of the sides of the map parallelogram to the actual parallelogram is the same. Therefore, the area of the actual parallelogram is also 5 cm². In other words, if one unit on the map represented one unit on the actual parallelogram, then the area of the map parallelogram is the same as the area of the actual parallelogram.

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The entire amount that Cameron must pay for the origination fee and discount points is $17221.25.

As per the details share in the above question are as bellow,

The details provided are as follow,

Cameron bought a property that went for $317,000 in the market.

Cameron secured a $299,500 mortgage.

The bank assessed an origination fee of 2.75 points and a discount point charge of 3.0 points.

How much did Cameron have to pay in total for the discount points and origination fee?

Origination and discount fees are based on the amount of the mortgage that is received; 1 point is equal to 1% of the loan amount.

As a result, there is an origination charge and discount points. = 299500*(2.75+3)%

= 299500*5.75%

= $17221.25

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The correct statements are:

The triangle and trapezoid area formulas have 1/2.

The parallelogram and rectangle formulas are both the same.

In the trapezoid formula, the bases are added.

A triangle is a polygon with three sides and three vertices. A triangle's angles add up to 180 degrees.

Area of a triangle = 1/2 x base x height

A trapezium is a quadrilateral that is convex. A trapezium is made up of at least two parallel sides. Area of a trapezium = 1/2  x (sum of the lengths of the parallel sides) x height

A rectangle is a quadrilateral in two dimensions with four right angles. Area of a rectangle = length x width

A parallelogram is a quadrilateral with two parallel sides. The opposite sides equal in length

Area of a parallelogram = base x height

Hence, the correct statements are options (A), (B), and (D).

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The question seems to be incomplete the correct question would be:

A neighborhood was given a vacant lot in the shape of a rectangle on which to build a park. The neighborhood is

considering how to split up the area. Which statements about the formulas for finding areas are true? Check all that

apply.

A. The triangle and trapezoid area formulas have 1/2.

B. The parallelogram and rectangle formulas are both the same.

C. In the parallelogram formula, the bases are added.

D. In the trapezoid formula, the bases are added.

E. In the triangle formula, the sides are added, then multiplied by 1/2​

On solving the provided question, we can say that quadratic equation = x^2 - 3x - 4 ; factors = x-1 and x-5

A quadratic equation is x ax2+bx+c=0, which is a quadratic polynomial in a single variable. a 0. The Fundamental Theorem of Algebra ensures that it has at least one solution since this polynomial is of second order. Solutions may be simple or complicated. An equation that is quadratic is a quadratic equation. This indicates that it has at least one word that has to be squared. The formula "ax2 + bx + c = 0" is one of the often used solutions for quadratic equations. where are numerical coefficients or constants a, b, and c. where the variable "X" is unidentified.

here, we have

quadratic equation = x^2 - 3x - 4

factors = x-1 and x-5

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Based on the graph provided, g(x) is negative only on the interval (6, infty), since that's when the y-values of g(x) are negative (or below the x-axis).

On that interval of (6,infty), f(x) is also below the x-axis, so (6,infty) is your answer.

After solving the linear system of equations given, the result shows it has infinitely many solutions.

In mathematics, a collection of two or more linear equations containing the same variables is referred to as a system of linear equations. Here, one might say that linear equations are those of the first order, where the maximum power of the variable is 1. One variable, two variables, or three variables can all be included in a linear equation.

Systems of equations known as linear systems are those in which the variables are always multiplied solely by constants before being added together. Both static and dynamic relationships between variables are described by linear systems.

5x - y = 15 ...............(1)

-10x+2y=-30 ................ (2)

Now, multiply (1) by 2

10x - 2y = 30 ................. (3)

now, add the equation (2) from (3) we get

10x - 2y = 30

-10x + 2y = -30

0 = 0

that means we get infinitely many solutions.

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The complete question is as follows:

Use substitution to solve the linear system of equations.

5x-y=15

-10x+2y=-30

no solution (-15, -6)(-3,10)infinitely many solutions

The slope of the given line passing through the points ( -2 ,7 ) and ( 4, 9 ) is given by ( 1 /3 ).

As given in the question,

Given line passes through the points :

( x₁ , y₁ ) = ( -2 ,7 )

( x₂ , y₂ ) = ( 4, 9 )

Standard formula to calculate the slope of the line passing through two coordinates is :

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substitute the value of the given points we get,

Slope = ( 9 - 7 ) / ( 4 - ( -2 ) )

⇒ Slope = 2 / 6

⇒ Slope = 1 / 3

Therefore, the required slope of the line passing through the given points is equal to ( 1 / 3 ) .

The above question is incomplete, the complete question is :

What is the slope of the line that passes through the point  (- 2, 7 ) and

(4, 9)?

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105 joule/second is the power generated in a body moving at a velocity of 15m/s with a force of 7N in 2s​

The word "force" has a specific meaning in science. At this level, calling a force a push or a pull is entirely appropriate. A force is not something an object "has in it" or that it "contains." One thing experiences a force from another. There is no distinction between living and non-living things in the concept of a force.

Given, a body moving at a velocity of 15m/s with a force of 7N in 2s​

From the general formula of Power

Power = force * velocity

In our case

force = 7N

velocity = 15 m/s

Thus,

Power = 7 * 15 Nm/s

Power generated in body = 105 Nm/s or joule/s

Therefore, the power generated in a body moving at a velocity of 15m/s with a force of 7N in 2s​ is 105 joule/second.

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The common ratio of the geometric series produced by the nth-order Maclaurin series for h(x) = 1/(1-x) is x.

The Maclaurin series for h(x) = 1/(1-x) is an infinite geometric series with the general term given by:

h(x) = x⁰ + x¹ + x² + x³ + ...

The nth order Maclaurin series for h(x) = 1/(1-x) is the sum of the first n terms of this infinite series. The common ratio of a geometric series is the ratio of any term to the previous term.

In this case, each term is the previous term multiplied by x, so the common ratio is x.

It's important to note that the Maclaurin series is a type of Taylor series that is used to approximate a function and it's useful when the function is evaluated at zero, in this case, when x is zero, the function becomes 1/(1-0) = 1, the function is equal to 1 when x=0.

In conclusion, the common ratio of the geometric series produced by the nth-order Maclaurin series for h(x) = 1/(1-x) is x. It's the ratio of any term to the previous term, and it's the same for all the terms in the series.

The Maclaurin series is a type of Taylor series that is used to approximate a function and it's useful when the function is evaluated at zero.

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The probability that we will roll exactly one number exactly three times is 125/7776.

Given a fair die is rolled six times.

A fair die has 6 faces, hence, the sample space will be {1, 2, 3, 4, 5, 6}

So, on rolling a die thrice, the number of elements in sample space is

6⁶ = 46,656

Let us assume that the die in the first roll shows 3, hence the second die and third die can show any of the other 5 numbers.

First, the probability of rolling a single value (in this case 3) on a fair 6-sided die would be one out of six = 1/6

The probability of NOT rolling that number would be five out of six.

Let P be the probability of getting 3 only once

P= 1/ 6 × 1/6 × 1/6 × 5/6 × 5/6 × 5/6 = 125/46656

The number 3 can be showed in any of the six dies at a time

Hence required probability ,

= 125/46656 + 125/46656 + 125/46656 + 125/46656 + 125/46656 + 125/46656  

= 750/46656

P = 125/7776

Therefore, the probability that exactly one 3 is rolled is 125 / 7776.

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Answer:

x = 2.5

Step-by-step explanation:

4(x+7)=38

4x + 28 = 38

4x = 10

x = 2.5

Let's check

4(2.5 + 7) = 38

4( 9.5) = 38

38 = 38

So, x = 2.5 is the correct answer.

An effective structure for the conclusion paragraph of an argumentative essay include the following: C. Concluding transition. Rephrased claim. Summary of the big ideas. Clincher.

In English literature, an argumentative essay can be defined as a type of literary work that is typically written to express and indicate a writer's or speaker's position (stance) on a subject matter (topic).

In English literature, a clincher can be defined as a final sentence or concluding statement of a chapter, paragraph, essay, or article (literary work) which is written to make a final observation on the subject matter (topic) and leaves a lasting impression on the readers.

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Answer: the answer is C.

Step-by-step explanation:

Conclusion transition, Rephrase claim, Summary of the big ideas and Clincher.