Which best explains if quadrilateral wxyz can be a parallelogram? wxyz can be a parallelogram with one pair of sides measuring 15 mm and the other pair measuring 9 mm. Wxyz can be a parallelogram with one pair of sides measuring 15 mm and the other pair measuring 7 mm. Wxyz cannot be a parallelogram because there are three different values for x when each expression is set equal to 15. Wxyz cannot be a parallelogram because the value of x that makes one pair of sides congruent does not make the other pair of sides congruent.

The percentage by which the price of the car went up from the original price is 60% (third option)

The first step is to determine the price of the car after the percentage increase. Percentage is the fraction of a number as a value out of 100. The sign that is used to represent percentage is %.

Price of the car after the percentage increase = (1 + percent increase/100) x original cost of the car

Price of the car after the percentage increase = (1 + 20/100) x 20,000

Price of the car after the percentage increase = (1 + 0.2) x 20,000

Price of the car after the percentage increase = 1.2 x 20,000 = $24,000

Price after the $8,000 increase = $24,000 + 8,000 = $32,000

Percentage of the original price = (32,000 / 20,000) - 1 = 0.60 = 60%

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a. The percent of Benny's mom's age to his age is 400%.

b.  Benny's mom's age is 400% of his age.

What is a percent of numbers?

The percent of a number is its fraction that is expressed as percentage. Thus the percentage of a number or part of a number can be determined.

Considering the given question, the years of Benny and that of his mom were given as;

Benny's age = 12 years

His mom's age = 48 years

Thus we can deduce that;

a. The percent of his mom's age to that of Benny's = 48/ 12 * 100%

                                            = 400%

b. Benny's mom's age is 400% of his age.

Therefore, the correct option to be selected is D.

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Answer:

Step-by-step explanation:

Fraction: 3/10 decimal: 0.30

Answer:

Fraction: 3/10; Decimal: 0.3

Step-by-step explanation:

A). When trying to find the fraction of percent, the denominator is always 100 since the word percent itself states "per-cent," meaning per 100 as a cent can go up to a maximum of 100 before being converted into a dollar. Therefore, the fraction then becomes 30/100, however, we need to simplify it as stated by the question and we can easily do that by canceling out one zero on the numerator and the denominator, giving us the simplified fraction of 3/10.

B). Now, to find the decimal, we just have to divide the numerator by the denominator and dividing 3 by 10 gives us a decimal of 0.3. This decimal has already been rounded to the nearest hundredth since it is in the tenths place, so thus, there is a continuation of zeroes after the 3 infinitely. Therefore, the decimal rounded to the nearest hundredth is 0.3.

Hope this helped!  :D

The quadratic function answer for 2(x^2-3x+6) is 4x^2 - 6x + 12.

I believe that is correct

Answer:

y = - x + 4

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

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

with (x₁, y₁ ) = (- 2, 6 ) and (x₂, y₂ ) = (4, 0 )

m = [tex]\frac{0-6}{4-(-2)}[/tex] = [tex]\frac{-6}{4+2}[/tex] = [tex]\frac{-6}{6}[/tex] = - 1 , then

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation.

using (4, 0 ) , that is x = 4, y = 0

0 = - 4 + c ⇒ c = 0 + 4 = 4

y = - x + 4 ← equation of line

On solving the provided question we can say that - the value of the equation x = y^2 -5 from the graph will be 59.

Graphs are visual representations or charts used in mathematics to methodically express data or values. A relationship between two or more objects is frequently represented by a point on a graph. A non-linear data structure called a graph is made up of nodes, or vertices, and edges. Connect the nodes, also known as vertices. This graph comprises a set of vertices V= 1, 2, 3, 5, and a set of edges E= 1, 2, 1, 3, 2, 4, and (2.5), (3.5), (4.5). Statistics graphs (bar charts, pie charts, line charts, etc.) Exponential diagrams. triangle graph, a logarithmic graph

here, the equation from the graphs is

[tex]y^2 = x^8 -7.8x-9,=.43y[/tex]

and y = 8

x = 59

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Answer:

  Kate is 16

  Leo is 20

Step-by-step explanation:

You want to know Kate's and Leo's ages if Kate is 4 years younger and twice Kate's age less 3 is the same as Leo's plus nine.

We can let K and L represent Kate's and Leo's ages, respectively. The given relations can be written as ...

  K = L -4

  2K -3 = L +9

Subtracting the first equation from the second gives ...

  (2K -3) -(K) = (L +9) -(L -4)

  K -3 = 13 . . . . . . . . . . . . . . . . . simplify

  K = 16 . . . . . . . . . . . . . add 3

  L = K +4 = 20

Kate is 16 and Leo is 20.

__

Check

Twice Kate's age, minus 3 is 2(16) -3 = 29.

Leo's age plus 9 is 20 +9 = 29, the same.

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The surface whose equation is given. [tex]rho2(sin2(φ) sin2(θ) + cos2(φ)) = 4[/tex] is a cylinder with radius 2.

The cylinder has two key characteristics, namely surface area and volume, because it is a three-dimensional form. The combined curved surface area of the cylinder and the areas of the two circular bases make up its whole surface area. A cylinder's volume is the term used to describe the three-dimensional space it takes up.

A surface is a representation of a surface in mathematics. Similar to how a curve generalizes a straight line, it is a generalization of a plane but unlike a plane, it may be curved.

A thing or body's top or outer limit. on the water's surface. the surface of the earth. a two-dimensional locus of points that can be flat or curvy (such as the boundary of a three-dimensional region).

The equation of the surface is

[tex]$$\rho^2\left(\sin ^2 \phi+\sin ^2 \theta+\cos ^2 \phi\right)=4[/tex]

equation of a cylindrical surface is [tex]$y^2+z^2=r^2$$$[/tex]

[tex]\begin{aligned}& y^2=\rho^2 \sin ^2 \phi \sin ^2 \theta \\& \mathrm{y}=\rho \sin \phi \sin \theta\end{aligned}$$[/tex]

and, [tex]$\mathrm{z}=\rho \cos \phi$[/tex]

and, Radius of the cylinder is

[tex]$$r=2 \text {. }$$[/tex]

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The cost for 3 feet of lace based on the information provided is 9 dollars.

Based on the information given, a foot of lace costs $3 (3 dollars).

In this case, the mathematical operation that needs to be applied is multiplication as were are given the price for 1 unit and we need to calculate the equivalent price for 3 units.

Multiplication implies adding equal groups, in this case we will need to add 3 times the initial price to find the final price. Based on this, we need to multiply the price by 3 as it is shown below:

Price for 1 foot = $3

Price for 3 feet=

$3 per feet x 3 = $9

This means that for 3 feet of lace Cheryl will need to pay a total of $9 (nine dollars).

Note: This question is incomplete; here is the complete question:

Cheryl is buying lace for her dance costume.  of lace costs . How much does each length of lace cost?

3 feet

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The cost of each length of the lace is 7.2 dollars.

Cheryl is buying lace for her dance costume. One foot of lace cost 3 dollars. The length of each lace is 2 2 / 5 feet.

The cost of each length of lace can be calculated as follows:

Therefore, using proportion.

1 feet = 3 dollars

2 2 / 5 feet(12 / 5 feet)  =  ?

cross multiply

cost of the length of a lace = 12 / 5 × 3

cost of the length of a lace = 36 / 5

cost of the length of a lace = 7.2 dollars.

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Answer:

y = 4/5x + 3

Step-by-step explanation:

If two lines are parallel to each other, they have the same slope slopes.

The first line is y = 4/5x + 2. Its slope is 4/5. A line parallel to this one will also have a slope of 4/5.

Plug this value (4/5) into your standard point-slope equation of y = mx + b.

y = 4/5x + b

To find b, we want to plug in a value that we know is on this line: in this case, it is (5, 7). Plug in the x and y values into the x and y of the standard equation.

7 = 4/5(5) + b

To find b, multiply the slope and the input of x (5)

7 = 4 + b

Now, subtract 4 from both sides to isolate b.

3 = b

Plug this into your standard equation.

y = 4/5x + 3

This equation is parallel to your given equation (y = 4/5x + 2) and contains point (5, 7).

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Answer:

[tex]f(g(x)) = g(f(x)) =x[/tex]

So [tex]f(x)[/tex] and [tex]g(x)[/tex] are inverses of one other

Step-by-step explanation:

If two functions [tex]f(x)[/tex] and [tex]g(x)[/tex] are inverses of each other, their compositions will equal [tex]x[/tex]

Thus proved

Answer:

Step-by-step explanation:

I can calculate the volume of a prism with a complicated base by decomposing the Which of these solids are prisms

Answer:

it's 290

Step-by-step explanation:

[tex] \frac{290}{29} + 156[/tex]

[tex]10 + 156 = 166[/tex]

The following ordered pairs represent the correct mapping.

(0,1), (2,7), (3,4), (-4,1), (-6,7)

Mapping, any prescribed way of assigning to each object in one set a particular object in another (or the same) set. Mapping applies to any set: a collection of objects, such as all whole numbers, all the points on a line, or all those inside a circle.

From the diagram, we have both one-to-one and one-to-many mapping, so we first of all, list all of them.

one-to-one mapping ordered pairs include; (3,4)

one-to-many mapping ordered pairs include: (0,1), (2,7), (-4,1), (-6,7)

Therefore, the correct ordered pairs for the mapping will be both one-to-one and one-to-many mapping all put together, which is: (0,1), (2,7), (3,4), (-4,1), (-6,7)

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Based on the quantity equation, if m = 8,000, p = 3, and y = 12,000, then v = 0.22

B. The Quantity Equation is a relationship between the money supply (m), the price level (p), and the level of economic activity (y), represented as m = py.

In this case, since we know that m = 8,000, p = 3, and y = 12,000, we can use this equation to solve for v. By dividing both sides of the equation by y, we get m/y = pv. Now we know m/y=8,000/12,000=0.66, and p=3, so we can solve for v by dividing m/y by p, which results in v=0.66/3=0.22 (when rounded) .

This means that the velocity of money (v) is .22, it means that each unit of money is used 0.22 times per year to purchase goods and services.

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The statement that is false is: " lf p q is true, then p is a necessary condition in order that q holds."

In a logical statement "p implies q" (p->q), if p is true, then q must be true as well. However, this doesn't mean that p is necessary for q to hold. A necessary condition means that p is required for q to be true, but it's not sufficient, it may be other conditions that are also needed. In this statement, p is a sufficient condition for q to hold, but it's not necessary. This statement is a logical converse of the second statement "If p q is true, then p is a sufficient condition in order that q holds."

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The value of the trigonometric functions cos 2θ and cos 0.5θ for the given angle are - 7 / 25 and - 2√5 / 5, respectively.

In this problem we must determine the cosine of the double angle and half angle based on the exact values of the cosine of an angle and the quadrant location of the angle.

Cosine is a function between - 1 and 1 and whose period is 2π (360°), positive when angle is either on first quadrant (0 < θ < 0.5π) or on fourth quadrant (1.5π < θ < 2π). In addition, sine function is positive on first quadrant and negative on fourth quadrant.

The required trigonometric formulas in terms of trigonometric function cos θ are described below:

sin θ = √(1 - cos² θ)

cos 2θ = cos² θ - sin² θ

cos 0.5θ = ± √ [(1 + cos θ) / 2]

First, determine the exact value of sine:

sin θ = - √[1 - (3 / 5)²]

sin θ = 4 / 5

Second, determine the exact value of cosine of the double angle:

cos 2θ = (3 /  5)² - (4 / 5)²

cos 2θ = - 7 / 25

Third, determine the exact value of cosine of the half angle:

cos 0.5θ = - √[(1 + 3 / 5) / 2]

cos 0.5θ = - 2√5 / 5

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Answer:

The three sides 9 in, 12 in, and 15 do represent a right triangle.

Step-by-step explanation:

Hope it helps!

It will take to complete the entire order of sneakers in 8 days.

To find out how long it will take to complete the entire order of sneakers, you need to multiply the time it takes to complete 1/10 of the order by the total number of orders. Since there are 10 orders in the entire order of sneakers, it will take 10 times as long to complete the entire order as it does to complete 1/10 of the order.

Since it takes 4/5 of a day to complete 1/10 of the order, it will take 4/5 * 10 = 8 days to complete the entire order. Therefore, the answer is 8 days.

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At given rate, it will take 8 days to complete the entire order of sneakers

In this questiion we have been given at Sami's Shoe Warehouse, it takes 4/5 day to complete 1/10 of an order of sneakers.

We need to find the number of days it will take to complete the entire order of sneakers, at this rate.

It takes 4/5 day to complete 1/10 of an order of sneakers.

If we multiply a fraction by 10 then it would be 10/10

This means, 10/10 represents the complete order of sneakers.

4/5 days are required to complete 1 of 10 order of sneakers.

For 10 of 10 order of sneakers:

By unitary method,

10 × 4/5

= 2 × 4

= 8 days

So, it will take 8 days to complete the order.

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Answer:

[tex]4^{4}[/tex] and [tex]6^{2}[/tex]

Step-by-step explanation:

1. The base numbers are 4 and six in this question

2. There are four #4s and two #6

3. 4 and 2 would be the exponents

Their monthly income of George is 57,600.

A percentage is a figure or ratio that can be stated as a fraction of 100. If we need to calculate the percentage of a number, we must divide it by its full value and then multiply it by 100. As a result, the percentage is one part in one hundred. "Per 100" is short for "per percent." It is represented by the symbol "%".

Given spends of George from monthly income,

let monthly income be x

spends on food = 5/8 of salary

spends on food = 5x/8

amount left = x - 5x/8 = 3x/8

spends on fees = 1/6 of remainder

spends on fees = 1/6 × 3x/8 = x/16

amount left = 3x/8 - x/16 = 5x/16

spend on contingencies = 2/3 of remainder

spend on contingencies = 2/3 × 5x/16

spend on contingencies = 5x/24

amount left = 5x/16 - 5x/24 = 5x/48

amount left = 6000 = 5x/48

x = (6000×48)/5

x = 57,600.

Hence monthly income is 57,600.

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George's monthly salary is 57600

A fraction represents a numerical value, which defines the parts of a whole. the fraction can be a portion of any quantity out of the whole thing and the whole can be any specific things or value.

The basics of fractions explain the top and bottom numbers of a fraction. The top number represents the number of selected or shaded parts of a whole whereas the bottom number represents the total number of parts.

Let monthly salary of George be x.

Given, Money spend on food = 5/8th of salary = 5/8x

Remaining salary = x - 5x/8 = 3x/8

Amount on school fees = 3x/8 × 1/6 = x/16

Remaining amount = 3x/8 - x/16 = 5x/16

Amount on contingencies = 5x/16 × 2/3 = 5x/24

According to the question

5x/8 + x/16 + 5x/24 + 6000 = x

(30x + 3x + 10x) /48 +6000 = x

43x /48 + 6000 = x

x-43x/48 = 6000

48x - 43x = 6000 × 48

5x = 288000

x = 57600

George monthly salary = 57600

Hence, George get a monthly salary of 57600

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[tex](\stackrel{x_1}{x}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{9}~,~\stackrel{y_2}{8}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{8}-\stackrel{y1}{5}}}{\underset{\textit{\large run}} {\underset{x_2}{9}-\underset{x_1}{x}}} ~~ = ~~\stackrel{\stackrel{\textit{\small slope}}{\downarrow }}{\cfrac{1}{4}}\implies \cfrac{3}{9-x}=\cfrac{1}{4}\implies 12=9-x \\\\\\ 12+x=9\implies \boxed{x=-3}[/tex]

The five number summary of the given data is the minimum value = 20, maximum value = 100, median = 69.5, Q1 = 48, and Q3 = 89.

A number summary consists of five values: the most extreme values in the data set (the maximum and minimum values), the lower and upper quartiles, and the median. In order to find the five number summary,

1. Arrange the given data in ascending order. In the given case, the data is already in ascending order.

2. Determine the minimum and maximum value for the data set. In the given case, the minimum value is 20 and maximum value is 100.

3. Determine the median of the data set. The median refers to the middle number of the data set. If the data is an even set of numbers, the middle two terms are averaged. In the given case, there are 14 numbers, hence the median is an average of 7th and 8th term.

Median = (69 + 70)/2 = 69.5

4. Determine the lower quartile (Q1) and upper quartile (Q3). The Q1 and Q3 are the middle term of the lower and upper range respectively.

For the lower range, 20, 33, 43, 48, 64, 68, 69, the middle term is 48. Hence Q1 = 48.

For the upper range, 70, 72, 83, 89, 96, 99, 100, the middle term is 89. Hence Q3 = 89.

Note: The question is incomplete. The complete question probably is: Find the 5 number summary for the data shown. 20, 33, 43, 48, 64, 68, 69, 70, 72, 83, 89, 96, 99, 100

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Three mathematical concepts Sets, relation, function a strong tool for storing and analysing data is relational data.It is based on three crucial mathematical ideas. The correct answer is b. a domain a tuple

Relation and functions what they do Understanding the ideas in Mathematics a strong tool for storing and analysing data is relational data. It is built on sets, relations, and functions, three fundamental ideas in mathematics. In a relational database, sets are collections of items like tables, columns, and rows.

Relations are the connections between items in a set, such as the connections between database columns and rows. Functions are the rules that specify how objects and the connections between them interact, such as the rules that specify how a query behaves. Relational data can be arranged and managed with the use of these mathematical ideas in order to store and analyse data effectively.

Complete question:

On which three mathematical concepts is the relational data structure based? Select all that apply.

a. a variable

b. a domain a tuple

c. a relation

d. a table

e. an equation

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The unit that is most appropriate for the time at which the number of weeks is 120 is given as follows:

Week.

The general format for an exponential function is given as follows:

[tex]y = a(b)^{\frac{x}{n}}[/tex]

The parameters for the exponential function are defined as follows:

The number of weeds in my yard doubles every 3 weeks, and the initial number of weeks is of 80, hence the values of the parameters are given as follows:

a = 80, b = 2, n = 3.

As n = 3, we have that the unit of the output variable is of weeks, hence weeks is the appropriate measure in this problem.

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Mathematically, a line is a group of infinite points. In another word, a line expands endlessly in both directions. It is a one-dimensional figure with no limit, both to the left and to the right.

Types of lines: There are various types of lines used in everyday life.

1) Curved Lines: A line that is not straight is a curved line. If a point does not proceed in one direction, get a curve.

2) Straight Lines: The shortest line joining any two points is a straight line.

3) Horizontal Lines: A horizontal line is a line that passes from left to right in a straight line.

4)Vertical Lines: Vertical lines move up and down from top to bottom or bottom to up.

5) Parallel Lines: In geometry, parallel lines can be determined as two lines in the same plane that are at an equal distance from each other and never meet.

6) Intersecting Lines: When two or more lines cross each other in a plane, they are called intersecting lines. The intersecting lines share an ordinary point, which lies on all the intersecting lines.

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Answer: 57

Step-by-step explanation:

The kind of triangle does the Third Angle Theorem work on include all Triangles that have sum of 180°.

The Third Angle Theorem states that if in a triangle, one angle is known, the other two angles can be determined. So, this theorem works on any triangle, regardless of its shape or size. As long as the triangle has three angles, the theorem can be applied.

It states that the sum of the three angles in a triangle is always 180 degrees. So if you know the measure of one angle, you can use the theorem to find the measure of the other two angles by subtracting the measure of the known angle from 180 degrees.

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Answer:

.lol

Step-by-step explanation: