For what values of k will the system of equations KX 2y 5 3x Y 1 have a no unique solution?.

The sum of an irrational number and a rational number can either be rational or irrational.

Depending on the specific numbers involved. There is no general expression for the sum of an irrational number and a rational number being irrational. If the sum of two numbers is irrational, it means that the result cannot be expressed as a simple fraction, and its decimal representation either goes on forever without repeating or repeats after a certain number of digits.

One example of the sum of an irrational number and a rational number being irrational is:

√2 + 1/2 = 1.732 + 0.5 = 2.232 (irrational)

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The distance between the origin and the point (3, 4) is 5 units.

The distance between the origin (0,0) and a point (x,y) in a two-dimensional coordinate system can be found using the distance formula, which is given by:

distance = √((x₂ - x₁)² + (y₂ - y₁)²)

In this case, the point is (3, 4) and the origin is (0, 0)

So, the distance between the origin and the point (3, 4) is:

distance = √((3 - 0)² + (4 - 0)²)

distance = √(3² + 4²)

distance = √(9 + 16)

distance = √(25)

distance = 5

So the distance between the origin (0,0) and the point (3,4) is 5

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Answer:

Step-by-step explanation:

=([tex]\frac{24}{-6}[/tex])([tex]x^{6-3}[/tex])([tex]y^{3-1}[/tex])

=[tex]-4x^{3} y{2}[/tex]

Answer: 47/4

Step-by-step explanation:

Convert the words into math:

The number = x

( 13 + x ) * 3 = 7 * x - 9

Expand:

39 + 3x = 7x - 9

Subtract 3x from both sides:

38 = 4x - 9

Add 9 to both sides:

47 = 4x

x = 47/4

Answer: a. w=3x+8 in b. P=24+6x in, c. P=27 in

Look at the Image Below for work.

Step-by-step explanation:

Answer:

170 miles

Step-by-step explanation:

first, for 3 hours they drove 40 mph. this means you have to multiply 40 mph by the 3 hours.

40*3=120

then you have to add the extra 50 miles that they drive north because their speed changed.

120+50=170

Small popcorn Scenario=Emilio is right.

Medium Popcorn Scenario=Tomas is right.

Large Popcorn Scenario=Tomas is right.

A budget is a spending plan based on income and expenses. In other words, it’s an estimate of how much money you’ll make and spend over a certain period of time, such as a month or year.

1. Small popcorn Scenario.

Rent cost=46

Movie ticket cost + popcorn cost=17

For Tomas : 46+ (17*7)=46+119=$165

For Emilio : 46+(17*9)=46+153=$199

2.Medium Popcorn Scenario

Rent cost=46

Movie ticket cost + popcorn cost=?

For Tomas :46+ (18*7)=46+126=$172

For Emilio : 46+(18*9)=46+162=$208

3. Large Popcorn Scenario

Rent cost=46

Movie ticket cost + popcorn cost=?

For Tomas :46+ (19*7)=46+133=$179

For Emilio : 46+(19*9)=46+171=$217.

Small popcorn Scenario=Emilio is right.

Medium Popcorn Scenario=Tomas is right.

Large Popcorn Scenario=Tomas is right.

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Answer:

The first x is 9

The second x is -5

Step-by-step explanation:

[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

[tex] \textsf{As per the given figure, observations can be made} [/tex] [tex] \textsf{that : } [/tex]

[tex] \textbf{1.) Two sides of the given triangle are equal.} [/tex]

[tex] \textbf{2.) All the three angles are less than 90° } [/tex]

[tex] \textsf{So, to sum it up, it can be said that the } [/tex][tex] \textsf{triangle is both Isosceles and acute } [/tex][tex] \textsf{angled triangle.} [/tex]

Answer : A.) acute and isosceles, but not equilateral

Answer:

Acute and Isosceles, but not equilateral.

Step-by-step explanation:

First, let us address equilateral. Equilateral triangles assumes by definition that all triangle sides are symmetrical (60° in measurement), and that all side lengths are congruent (the same length). As shown in the picture, it is not a equilateral triangle, as there is only a pair of congruent sides.

Therefore, the given triangle is a isosceles triangle, which by definition calls for having two sides of equal length, and two equal angles.

Next, we are solving for whether or not the triangle angles are obtuse or acute. Acute angles measure less than 90° (The measurement of a right angle). Obtuse angles, on the other hand, measure more than 90°. In this case, all sides are less than 90°, per definition of isosceles triangle.

Therefore, the given triangle is acute.

Your answer is Acute and isosceles, but not equilateral.

Answer: What you chose was correct :>

For the given figure, the value of upper quartile is 68.

When presented in increasing order, the value that 75% of data points fall within is known as the higher quartile, or third quartile (Q3). As the second quartile, the median is used (Q2).

The distance between the upper and lower quartiles is known as the interquartile range.

The median of a data set's upper half is the upper quartile.

To find this, divide the data set by the median, and then divide the remaining upper half by the median once more, with the higher quartile serving as the median.

Third or higher quartile is another name for the 75th percentile.

The value at which 25% of the answers are above that value and 75% of the answers are below that value is known as the 75th percentile.

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Answer:

K is the angle between JK and KL. It is called the included angle of sides JK and KL.

The number of square inches of cloth cut from the square will be 1,017.36 square inches. Then the correct option is A.

It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

Let r be the radius of the circle. Then the area of the circle will be

A = πr² square units

The radius is given as,

r = 36 / 2

r = 18 inches

The area of the circle is given as,

A = π x (18)²

A = 3.14 x 324

A = 1,017.36 square inches

The number of square inches of cloth cut from the square will be 1,017.36 square inches. Then the correct option is A.

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The complete question is given below.

A circle is cut from a square piece of cloth, as shown:

A square, one side labeled as 36 inches, has a circle inside it. The circle touches all the sides of the square. The portion of the square outside the circle is shaded.

How many square inches of cloth is cut from the square?

(π = 3.14)

1,017.36 in2

1,489.24 in2

1,182.96 in2

1,276.00 in2

The 7 properties of equality are the following,

The properties of equality is used to represent the relation between the two sides of an equation and state that the two sides remain equal even after applying the same arithmetic operation on each side.

1) The Reflexive equality property : As per reflexive property, x = x ; x R

2) The Symmetric equality p : If x = y, then y = x .

3) The Transitive equality property : If x = y and y = z, then x = z.

4) The Addition equality Property :

If x = y, then x+z = y+p.

5) Subtraction equality property :

If x = y, and z = p, then x - z = y- p.

5) The Multiplication equialty Properties :

6) The Division equaility properties : If x = y, and c≠ 0, then x/c = y/c. If x = y, and c = d ≠0, then x/c = y/d.

Consider the example : Assume the expression is 10 + x = 4(x - 2).

Solution: Solution of this using above properties, 10 + x = 4(x - 2)

=> 10 + x = 4x - 8

=> 10 = 3x - 8

=> 18= 3x

=> 6 = x

=> x = 6

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Answer:

either the mean or the median

Answer:

Step-by-step explanation:  Hello!

I don't remember all of the postulates to these, but I hope this will help you! Vertical angles are congruent, so both angles SRT and PRQ are congruent.  This also means that line segments PQ and ST are congruent.  You also know that angles Q and S are congruent which is given.  By the ASA Theorem, when two angles and a side are congruent, then the triangles are congruent.

Answer: 11 weeks

Step-by-step explanation:

G(t) = 25 + 14t

A(t) = 80 + 9t

set G equal to A and find t

25 + 14t = 80 + 9t

5t = 55

t = 11

There are several methods to solve a triangle such as SSS, SAS, ASA, and HL, using the Pythagorean theorem, the Law of Sines, and the Law of Cosines.

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The Speed of the train in Miles per hour will be 105 miles per hour.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The slope of the line is given as,

m = (y₂ - y₁) / (x₂ - x₁)

A train travels at a constant speed during a portion of its cross-country route the table shows the distance the train traveled over different intervals of time at this speed.

The slope represents the speed of the train. Then we have

m = (157.5 - 131.25) / (1.50 - 1.25)

m = 26.25 / 0.25

m = 105 miles per hour

The Speed of the train in Miles per hour will be 105 miles per hour.

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x² - 9x-19=0 is a quadratic equation in x such that the sum of its roots is 9 and the product of its roots is −19.

A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .

If the Sum of zeroes and Product of the zeroes of a quadratic equation is given then the quadratic equation is

x² - sum of the zeroes x + Product of the zeros =0

In the given question sum of its roots is 9 and the product of its roots is −19.

So the equation will be x² - 9x-19=0

Hence,  x² - 9x-19=0 is a quadratic equation in x such that the sum of its roots is 9 and the product of its roots is −19.

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The equivalent of two reflections across parallel lines is a glide reflection. Therefore, choice A is the best one.

d(f(x,y))=d(x,y) is a bijective map between two metric spaces that maintains distances, where f is the map and d(a,b) is the distance function. Congruence transformations are another name for isometries. Congruent refers to two figures that an isometry can change into one another (Coxeter and Greitzer 1967, p. 80). A linear transformation with length preservation is called an isometry of the plane. Rotation, translation, reflection, gliding, and the identity map are all examples of isometries. Geometrically congruent refers to two geometric figures that are connected by an isometry (Coxeter and Greitzer 1967, p. 80).

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The equivalent of two reflections across parallel lines is a glide reflection. Therefore, choice A is the best one.

A mapping of a metric space such that any two points' distances in the original space are equal to the distances between their images in the second space. d(f(x,y))=d(x,y) is a bijective map between two metric spaces that maintain distances, where f is the map and d(a,b) is the distance function. Congruence transformations are another name for isometries. Congruent refers to two figures that an isometry can change into one another. A linear transformation with length preservation is called an isometry of the plane. Rotation, translation, reflection, gliding, and the identity map are all examples of isometries.

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Answer:

  see attached

Step-by-step explanation:

You want the given diagram annotated with an arrow to show the direction of acceleration.

Acceleration is a result of a net force on an object. It is in the direction of that net force.

Here, the forces to the left and right are equal and opposite, so have a sum of zero.

The forces up and down are opposite, but unequal. The downward force is larger, so the direction of the net force is downward. (+5 +(-10) = -5)

The object will be accelerated downward in the direction of the 10 N force.

The angles of a 30-60-90 triangle are in the ratio 1: 2 : 3.

A triangle is a polygon with three edges and 3 vertices. The terminology for categorizing triangles is more than two thousand years vintage, having been defined on the first actual page of Euclid's elements.

In Euclidean geometry, any three factors, while non-collinear, decide a completely unique triangle and simultaneously, a unique plane (i.e. a -dimensional Euclidean space). In different words, there's best one plane that consists of that triangle, and every triangle is contained in some plane. If the entire geometry is only the Euclidean plane, there is the best one plane and all triangles are contained in it; however, in higher-dimensional Euclidean spaces, this is not real. this text is ready triangles in Euclidean geometry, and in particular, the Euclidean plane, except wherein otherwise stated.

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As per the Empirical Rule and the properties of a Normal distribution , 99.7% of the data lies within three standard deviation not 100%.

What is Empirical Rule?

According to the empirical rule, also known as the three-sigma rule or 68-95-99.7 rule, practically all observed data for a normal distribution will lie within three standard deviations of the mean or average.

In specifically, the empirical rule predicts that 68 percent of observations will fall within the first standard deviation, 95 percent will fall within the first two standard deviations, and 99.7 percent will fall within the first three standard deviations.

Hence, as per the Empirical Rule and the properties of a Normal distribution , 99.7% of the data lies within three standard deviation not 100%.

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On solving the provided question, we can say that the equation  [tex]8x^3 - 1[/tex][tex]= (2x- I) (4x^2 + 2x + I)[/tex] so, a = 2 and b = 1

A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.

here the equation is

[tex]8x^3 - 1[/tex]

[tex]= (2x- I) (4x^2 + 2x + I)[/tex]

so, a = 2 and b = 1

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To find the mean, median and mode add up the values and divide, the value of set in middle of the list and identify the most number of times a number is repeated.

The sum of all observations divided by the total number of observations yields the arithmetic mean of a set of data. For illustration, a cricketer's five ODI scores are as follows: 12, 34, 45, 50, 24. We compute the arithmetic mean of the data using the mean formula in order to get his typical score in a game:

Mean = Sum of all observations/Number of observations

Mean = (12 + 34 + 45 + 50 + 24)/5

Mean = 165/5 = 33

The median of the data is the value of the middle observation after the data have been arranged in either ascending or descending order.

Take these numbers as an example: 4, 4, 6, 3, 2. Let's organize these numbers ascending: 2, 3, 4, 4, 6.

Median = (n + 1)/2th observation

A data mode is the value that appears the most frequently in the provided data, or the observation with the highest frequency.

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The total money to make 22 deliveries in one shift is, $116.

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

We have to given that;

A pizza delivery man makes $50.00 a shift.

And, He makes $3.00 on each shift.

Now, For the total money to make 22 deliveries in one shift is,

⇒ $50 + $3 × 22

⇒ $50 + $66

⇒ $116

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There are three types of polynomials in class 9  there are linear, quadratic, and cubic polynomials.

The words Nominal, which means "terms," and Poly, which means "many," are combined to make the word polynomial.

An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial (No division operation by a variable).

Linear polynomials are straightforward and simple to solve. Isolate the variable term first, then set the equation's solution equal to zero.

First, rewrite the expression using a quadratic polynomial in the order of decreasing degree. To find the equation's solution, equate the equation and use polynomial factorization.

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The difference between the circumference of circle X and the circumference of Circle Y will be 6.28 inches.

It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference. Let d be the diameter of the circle.

The circumference of the circle will be

C = πd units

Circle X has a diameter of 5 inches. Then the circumference is given as,

⇒ π x 5

⇒ 3.14 x 5

⇒ 15.7 inches

Circle Y has a diameter of 3 inches. Then the circumference is given as,

⇒ π x 3

⇒ 3.14 x 3

⇒ 9.42 inches

The difference is calculated as,

⇒ 15.70 - 9.42 inches

⇒ 6.28 inches

The difference between the circumference of circle X and the circumference of Circle Y will be 6.28 inches.

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Therefore , the solution of the given problem of probability comes out be probability of don't get green or purple candy = 0.75 .

Calculating the likelihood that a statement is true or that an event will occur is the focus of the branch of mathematics known as probability theory. Any number from range 0 to 1, where 1 represents certainty and 0 normally represents possibility, may be used to represent chance. The likelihood that a particular event will occur is depicted in a probability diagram.

Here,

Given :

there are 3 green, 2 purple, 4 yellow, 6 red, and 5 orange candies in the skittles.

total candies = 3 + 2 + 4 + 6 +5 =20

To find the probability that you don't get green or purple candy :

So , the probability of green candies is  = 3/20 = 0.15

and  the probability of purple candies is = 2/20 = 1/10 = 0.1

The probability of don't get green or purple candy

=> 0.15 + 0.1

=> 0.25

and 1 - 0.25 = 0.75

Therefore , the solution of the given problem of probability comes out be  probability of don't get green or purple candy = 0.75 .

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