Write the relation as a set of ordered pairs. A relation. An arrow goes from 1 to negative 1, from 2 to 0, from 3 to 1. a. ordered pairs: {(–1, 1), (2, 0), (3, 1)} b. ordered pairs: {(–1, 1), (0, 2), (1, 3)} c. ordered pairs: {(1, –1), (0, 2), (1, 3)} d. ordered pairs: {(1, –1), (2, 0), (3, 1)} Please select the best answer from the choices provided A B C D

In the given question of inequality, the greater than symbol makes the statement true, 14 > 5/6​.

A relationship between two expressions or values that is not equal to each other is known as inequality in mathematics. So inequality emerges from an imbalance.

"Less than or equal to," "less than," or "not equal to" are all ways to describe an inequality, which is a mathematical relationship between two expressions.

Both equations and inequalities are mathematical phrases created by connecting two expressions. The equal sign (=) in an equation denotes that the two expressions are regarded as equal. In contrast, an inequality indicates that the two phrases are not always equal by using the symbols >, <, or =.

Less than or equal to, larger than, less than, and more than or equal to are the four fundamental inequalities.

Therefore, the correct answer is option b) >.

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The complete question is:

Which sign makes the statement true?

-2 / 5  ___  -3 / 8

a) <

b) >

c) =

The simplification of the expression is [tex]\frac{7}{5}[/tex].

What is expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. Unknown variables, integers, and arithmetic operators are the components of an algebraic expression. There are no symbols for equality or inequality in it.

Here the given expression is

=> 1 + [tex]\frac{1}{1+\frac{1}{1+\frac{1}{2} } }[/tex]

=> 1 + [tex]\frac{1}{1+\frac{1}{\frac{2+1}{2} } }[/tex]

=> 1 + [tex]\frac{1}{1+\frac{1}{\frac{3}{2} } }[/tex]

=> 1 + [tex]\frac{1}{1+\frac{3}{2} }[/tex]

=> 1 + [tex]\frac{1}{\frac{2+3}{2} }[/tex]

=> 1 + [tex]\frac{1}{\frac{5}{2} }[/tex]

=> [tex]1+\frac{2}{5}[/tex]

=> [tex]\frac{5+2}{5}[/tex]

=> [tex]\frac{7}{5}[/tex]

Hence the simplification of the expression is [tex]\frac{7}{5}[/tex].

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One binomial's terms are multiplied by the other binomial's terms. The algebraic total of these products is then calculated after this step. We employ a technique called the FOIL method to multiply binomials.

Therefore, the order in which the terms are multiplied in this order is FOIL (First Outer Inner Last).

An algebraic expression with two terms joined by a plus or minus sign is known as a binomial. Binomial multiplication is comparable to multiplying two whole numbers or fractions. Utilising the distributive property of multiplication twice is one way to multiply binomials.

The letters in the acronym FOIL stand for First, Outer, Inner, and Last. Since only binomials may be multiplied using this approach, it cannot be used to multiply all polynomials. The FOIL formula has the following general form: (a + b) (c + d) = ac + ad + bc + bd.

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Answer:

2

Step-by-step explanation:

Since this is all raise to the -1, we put it under 1.

[tex]\frac{1}{5^{-2}a^{3}b^{-4} }[/tex]  Pull the [tex]5^{-2}[/tex] and [tex]b^{-4}[/tex] from the bottom and put them on top to make them positive [tex]5^{2}[/tex] mean 5x5 or 25

[tex]\frac{25b^{4} }{a^{3} }[/tex]

Answer:

Option 2

Step-by-step explanation:

[tex]=(\frac{a^{3} }{5^{2} b^{4} } )^{-1}[/tex]

[tex]=\frac{1}{\frac{a^{3} }{5^{2} b^{4} } }[/tex]

[tex]=\frac{5^{2} b^{4} }{a^{3} }[/tex]

[tex]=\frac{25b^{4} }{a^{3} }[/tex]

Hope this helps

The formula for area of an acute angle triangle is (½) × b × h

a triangular shape with three acute angles. It indicates that none of the angles are precisely 90 degrees. Any triangle with all interior angles being acute angles is said to have an acute angle triangle. The line traced from the base of the triangle to the opposite vertex of an acute triangle is always perpendicular. The formula for the area of an acute angle triangle is (½) × b × h

Based on the side dimensions and angles of the triangles, one can classify acute triangles into distinct categories. One of them is an equilateral triangle with equal-length sides and interior angles, every sixty degrees in length. A triangle that is equilateral is always sharp. An acute isosceles triangle has two equal sides, and its opposing angles are also of equal length. A scalene acute triangle has uneven sides and internal angles on each of its three dimensions. The sum of all angles is less than 90 degrees.

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The markup percentage for the clarinet is 33.33%

The store buys a guitar at the price of $45

The price tag on the trumpet in the store is $104.

30% in decimal value is approximately 1.3 and so the price should either be multiplied or divided by it to know the store markup and margin.

The store's selling price for the guitar would be $45 x 1.3 = $58.50.

The store paid $104 / 1.3 = $80 for the trumpet.

The store marked up the clarinet by $100 - $75 = $25.

The markup percentage for the clarinet is ($25 / $75) x 100 = 33.33%.

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Step-by-step explanation:

graph of a line passing through the points negative 2 comma negative 3 and 0 comma negative 2

Answer:

it's c if you are taking pre algerbra 8th on question 5 if ur on flvs

Step-by-step explanation:

line passing through the points (-2,-3) (0,-2)

The circumference of the circle is 67.9.

What is a circle?

A circle is a special kind of ellipse in which the eccentricity is zero and the two foci are coincident. A circle is also termed as the locus of the points drawn at an equidistant from the center. The distance from the center of the circle to the outer line is its radius. Diameter is the line which divides the circle into two equal parts and is also equal to twice of the radius.

The equation of circle in the plane is given as:

(x-h)^2 + (y-k)^2 = r^2

where (x, y) are the coordinate points

(h, k) is the coordinate of the center of a circle

and r is the radius of a circle.

and Area of circle = πr²

Circumference of circle=2πr

Now,

Given Area of circle=367m^2

as πr^2=367

r=√367/3.14

r=√116.7

r=10.8

Therefore, circumference of circle=2πr

=2*22/7*10.8

circumference of circle=67.9m.

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The circumference of the circle is 67.9.

What is a circle?

A circle is a special kind of ellipse in which the eccentricity is zero and the two foci are coincident. A circle is also termed as the locus of the points drawn at an equidistant from the center. The distance from the center of the circle to the outer line is its radius. Diameter is the line which divides the circle into two equal parts and is also equal to twice of the radius.

The equation of circle in the plane is given as:

(x-h)^2 + (y-k)^2 = r^2

where (x, y) are the coordinate points

(h, k) is the coordinate of the center of a circle

and r is the radius of a circle.

and Area of circle = πr²

Circumference of circle=2πr

Now,

Given Area of circle=367m^2

as πr^2=367

r=√367/3.14

r=√116.7

r=10.8

Therefore, circumference of circle=2πr

=2*22/7*10.8

circumference of circle=67.9m.

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In a continuous series, the mean is 5, If efx= p and ef= 10 than the value of p​ = 50

Instead of being presented as a single number in a continuous series, the observations are presented in different class intervals, and the frequency represents the percentage of observations that fall into each class interval.

Continuous series are those in which frequencies are provided along with the variable's value as class intervals. an example: Their respective frequencies are 3, 7, 11, 9, and 6.

step1:

here mean(x)=5

and e f x=10

then as given

p=e f x

step2;

p=10*5=50

p=50

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Answer:

1. 6

2. $14.27

3. 36

4. $691.70

The translation is described as -

(x, y) → (x + 10, y + 2).

Given is that quadrilateral G'R'A'M' is a translation of quadrilateral GRAM.

Therefore, the translation is described as -

(x, y) → (x + 10, y + 2).

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The slope is 2 when expressed in the slope-intercept form. Ax+By=C is the usual form for two-variable linear equations. A standard form linear equation is, for instance, 2x+3y=5.

When the slope of the line being studied is known, and the provided point is also the y intercept, the slope intercept formula, y = mx + b, is utilized (0, b). The y value of the y intercept point is represented by b in the equation.

Writing an equation for a line in the form y = mx + b is known as slope intercept form in mathematics. The m indicates the line's slope, while the b indicates the y-intercept. When attempting to locate a point on a line or determine y given x, the slope intercept form is utilized.

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Answer:(8,6)

Step-by-step explanation:

Answer:

To calculate the number of sides of the polygon, divide 360 by the amount of the exterior angle. For example, if the exterior angle is 60 degrees, then dividing 360 by 60 equals 6, which is the number of sides the polygon has.

The temperature when the plane reached an altitude of 5,000 ft will be 49.7°F.

According to the question,

For every thousand feet, the temperature drops 1.6°F.

So, 5000 feet (five thousand feet) the temperature drop

= (1.6 × 5)°F   ( using multiplication)        

=8°F

The temperature on the ground is 57. 7°F .

The temperature when the plane reached an altitude of 5,000 ft will be

                                = (57.7 - 8)°F        (using subtraction)

                                 =49.7°F

So, when the plane reaches an altitude of 5,000 ft, the temperature will be = 49.7°F.

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Answer:dddjdvjd

Step-by-step explanation:

mb i just need points\

Answer:

d = 63 degree

e = 96 degree

f = 21 degrees

Step-by-step explanation:

The angle d is the vertical angle theorem with 63 degrees; that is why d is 63 degrees.

The angle e is the vertical angle theorem with 96 degrees; that is why d is 63 degrees.

96 + 63 = 159 degrees

180 - 159 = 21 degrees

So, f = 21 degrees

Answer:

0.8 4/5 of every people went to college or 80% of the people in titos family

If a box contains 6 balls, 1 of which is blue, 3 of which are red, and 2 of which are green, and balls are drawn in succession without replacement until a blue ball is drawn, the probability of drawing a blue ball on the first draw is 1/6, or approximately 0.17.

On the second draw, the probability of drawing a blue ball is 0, since there is only one blue ball in the box and it has already been drawn.

On the third draw, the probability of drawing a blue ball is 0 as well, for the same reason as above.

In general, the probability of drawing a blue ball on any draw after the first one is 0, since a blue ball has already been drawn and removed from the box and there are no more blue balls left in the box.

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Since there is only one blue ball in the box and it has already been drawn, the chance of drawing a blue ball on the second draw is zero.

For the same reason as above, the likelihood of getting a blue ball on the third draw is also zero.

Since a blue ball has already been drawn and taken out of the box and there are no more blue balls in the box, the chance of drawing a blue ball on any draw following the first one is typically zero.

The coordinates where the wood strips cross are (17.11,44). The solution is obtained using the concept of slope of line.

What is slope of line?

The change in y coordinate relative to the change in x coordinate is referred to as a line's slope in mathematics.

The symbols delta y and delta x stand for the net change in the y-coordinate and the net change in the x-coordinate, respectively.

We are given that Hana attaches thin strips of wood from each vertex perpendicular to the opposite edge.

Therefore, the point of concurrency will be in orthocenter.

We are given a triangle with coordinates X(0,0), Y(0,58), Z(36,44)

Now, we will find the slope

Slope(m) = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

Slope of XY = (58-0)/0-0 = 0

Slope of YZ = (44-58)/(36-0) = -7/18

We know that slope of line perpendicular to XY is 0

Using point slope form, equation of the altitude perpendicular to XY is

⇒[tex]y-y_{1} = m(x-x_{1} )[/tex]

⇒y-44 = 0(x-36)

⇒y=44

Slope of line perpendicular to YZ is 18/7

Using point slope form, equation of the altitude perpendicular to YZ is

⇒y-0 = 18(x-0)/7

⇒y = 18x/7

Substitute the value of y in the above equation, we get

⇒44 = 18x/7

⇒x = 17.11

Hence, the coordinates where the wood strips cross are (17.11,44).

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Answer:

C

Step-by-step explanation:

multipled is 12/56 but simplified is 3/14

By using exponential growth formula we get 5531 fish in the pond after 6 months.

To find the number of fish in the pond after 6 months, we can use the formula for exponential growth:

N(t) = N0 * [tex](1 + r)^{t}[/tex]

where N(t) is the number of fish at time t (in this case, after 6 months), N0 is the initial number of fish (7), and r is the growth rate (2.9 fish per month).

We can substitute these values into the formula and solve for N(6):

N(6) = 7 * [tex](1 + 2.9)^{6}[/tex]

N(6) = 7 * [tex](3.9)^{6}[/tex]

Using the calculator, we get N(6) = 7 * 791.64 = 5530.5

Rounding up to the nearest whole fish, we get 5531 fish in the pond after 6 months.

Note: The exponential model assumes that the growth rate is constant over time and that the pond has unlimited resources to sustain the fish population.

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Answer:

Step-by-step explanation:

p

It is of the form, ax +by +c = 0, where a, b and c are real numbers, and both a and b not equal to zero. Equations of the form ax + by = 0; where a and b are real numbers, and a, b ≠ 0, is also linear equations in two variable.

Now, According to the question:

Equations of degree one and having two variables are known as linear equations in two variables. It is of the form, ax +by +c = 0, where a, b and c are real numbers, and both a and b not equal to zero.

Equations of the form ax + by = 0; where a and b are real numbers, and

a, b ≠ 0, is also linear equations in two variable.

Solution of a Linear Equation in Two Variables:

The solution of a linear equation in two variables is a pair of numbers, one for x and one for y which satisfies the equation. There are infinitely many solutions for a linear equation in two variables.

For example,  x+2y =6 is a linear equation and some of its solution are (0,3),(6,0),(2,2) because, they satisfy  x+2y=6.

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Answer: The equation of a line can be written in the slope-intercept form y = mx + b, where m is the slope of the line and b is the y-intercept.

To find the equation of a line that passes through the point (3, 2) and cuts off equal intercepts on the x and y axes, we can use the following steps:

First, we need to find the slope of the line using the point (3, 2) and the fact that the line cuts off equal intercepts on the x and y axes. Since the line cuts off equal intercepts on the x and y axes, it means that it is a line of symmetry, which means that the slope of the line is zero.

Now we can use the point-slope form of a linear equation which is y-y1 = m(x-x1) and substitute the point (3,2) and the slope (0)

The equation of the line will be y = b where b is the y-intercept.

So the equation of the line which passes through the point (3, 2) and cuts off equal intercepts on the axes is y = 2

The line is a horizontal line passing through the point (3,2) and it cuts the x-axis at y = 2.

Step-by-step explanation:

Equation for m< 1 (x - 9)° and m <2 =(8x)° is <1 = 168 <2 = 12

An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated by the symbol "equal."

When one side of an equation equals the other, it is said to be an equation. For instance, in this case, we know that 4 + 4 = 8 and 10 - 2 = 8, which means that this equation is correct.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10.

To start, you must find x.

8x + x -9 = 180

9x -9 = 180

9x = 189

x = 21

Now, change both angles' x values to 21.

8(21) = 168

(21) - 9 = 12

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The difference in the account balances at the end of the loan terms is $313.98.

The amount that the lender charges the borrower over and beyond the principal amount is referred to as the interest rate. A person who deposits money in a bank or other financial institution also earns additional income in terms of the recipient, known as interest, taking into account the time value of money.

Given A homeowner is financing the cost of new windows.  Two lenders have approved the homeowner for a $12,000 loan.

principal  = $12,000

Offer 1:  4.5% annual simple interest, with a total account balance of $14,430 after a 54-month term

Amount of offer 1 = $14,430

Offer 2: 3.75% annual interest compounded monthly for a 66-month term

the amount is given by,

A = [tex]p(1 + \frac{r}{n} )^{nt}[/tex]

nt = 66 months

n = 12

r = 3.75% = 0.0375

p = $12,000

substitute the values in the formula,

A = 12000(1 + (0.0375/12))⁶⁶

A = 12000(1.228665)

A = $14,743.98

Difference in amounts = $14,743.98 - $14,430

The difference in amounts = $313.98

Hence the difference in amounts is $313.98.

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Answer: the table is proportional and the answer is 2/3

Step-by-step explanation: we can see that the top row goes up by 3 every time the bottom row goes up by 2

this gives us a ratio of 6 : 9

take the 6 and divide it by 3 we get 2

divide 9 by 3 and we get 3

this gives us the fraction 2/3 which is also an answer

gl :)

Step-by-step explanation:

Angle BAD = Angle CDA (Alternative angle)

AD=AD (Common side)

AB=CD (Given)

Thus, the given triangles are congruent by SAS.

There is a loss of $14500 and 30 units are required to be made to break- even. The solution has been obtained using profit function.

What is profit function?

A relationship that depicts the difference created by subtracting the cost function from the revenue function is called a profit function. The ideal pairing of revenues and expenses to generate the greatest possible profit can be seen on the graph of a profit function.

a. The fixed cost of the factory is $5000 + $10000 = $15000

The variable cost of the factory is $700 + $800 = $1500

The revenue of the factory is $2000x.

We need to find profit after 1 unit is made i.e. x = 1

So, TC= FC + VC(x)

⇒ TC = $15000 + $1500(1)

⇒ TC = $16500

Therefore, the profit will be

⇒Profit = R(x) - TC

⇒Profit = $2000(1) - $16500

⇒Profit = -$14500

Hence, there is a loss of $14500.

b. For break even, the total cost must be equal to the revenue

So, TC = R(x)

⇒ FC + VC(x) = R(x)

⇒ $15000 + $1500(x) = $2000(x)

⇒ $15000 = $500(x)

⇒ x=30

Hence, 30 units are required to be made to break- even.

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