The two prism below are similar. What is the value of x?

Answer:

Step-by-step explanation:

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The reason behind the name of parent function is the simplest function that still satisfies the definition of a certain type of function.

The term function is known as the special relationship where each input has a single output.

Here we need to define the reason behind the name of parent function.

Basically the term parent function is known as each member of a family of functions is related to its simpler, or most basic, function sharing the same characteristics.

Here the function is also called the parent function and it includes some of the basic characteristics of linear, quadratic, square root, absolute value and reciprocal functions.

As we all know that a family of functions is a set of functions whose equations have a similar form where as the parent function of the family is the equation in the family with the simplest form.

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The formula for quotient of a function is quotient of functions (fg)(x) ( f g ) ( x ) is found by dividing f(x) by g(x) . That is, (fg)(x)=f(x)g(x) ( f g ) ( x ) = f ( x ) g ( x ) .

The Quotient Rule is a technique for figuring out a function's derivative (differentiation) as the ratio of two differentiable functions. It is a formal rule used to issues involving differentiation where one function is split in half by another function.

The quotient is the result of dividing two numbers by each other. As in the case of 8 4 = 2, when the division produced the number 2, the outcome is the quotient. The dividend is 8 and the divisor is 4.

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The function for the perimeter of the square is P = 4x.

The term function is defined as a relationship between inputs where each input is related to exactly one output.

Here we have given that Function p represents the perimeter, in inches, of a square with side length x inches.

As we all know that the term square is referred as a regular polygon having four equal sides and equal angles that measure 90° each.

And the term perimeter is defined as  the distance around the edge of a shape.

as we all know the the square has 4 sides which is represented by the term x.

Then the perimeter is calculated as

p = x + x + x + x

Therefore, the resulting function is written as

p = 4x.

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The prediction model equation is constructed using outputs from an R script.

We are creating a regression model to accurately predict fuel economy using horsepower, quarter mile time, and rear axle ratio as predictors. We will include interaction terms for horsepower and quarter mile time, as well as for horsepower and rear axle ratio.

The prediction model equation is written below, based on the outputs obtained from the R script:

Fuel Economy = β0 + β1*Horsepower + β2*Quarter Mile Time + β3*Rear Axle Ratio + β4*Horsepower*Quarter Mile Time + β5*Horsepower*Rear Axle Ratio

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the properties of quadratic equations in the form x² K are described below.

The equation of the second degree is a quadratic equation. This indicates that it contains a phrase that is squared, at least once. ax² + bx + c = 0, which uses constants or numerical coefficients for the variables a, b, and c, is one of the classic formulae for solving quadratic equations. Unknown variable 'x' is used here. For an equation to have equal roots the value of the discriminant is 0. The discriminant of a quadratic equation ax² + bx + c = 0 is given by the formula.

Properties are:

1. If k > 0. then x² = k has two real solutions or roots : x= (+)ve k.

2. If k = 0, then x' = k has one real solution or root: x = 0

3. If k < 0, then x = k has no real solutions or roots.

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Answer:

A(-5, -3).

Step-by-step explanation:

3x - 2y >= -14

-2y >= -14 - 3x

y <= (-14-3x)/ -2

y <= 7 + 1.5x

The pair of linear equations 3x + 4y + 5 = 0 and 12x + 16y + 15 = 0. So this pair of equations have no solution.

Given the equation

3x + 4y + 5 = 0

12x + 16y + 15 = 0

Here, a₁ = 3, b₁ = 4, c₁ = 5

         a₂ = 12, b₂ = 16, c₂ = 15

Therefore,

[tex]\begin{aligned} \frac{a_1}{a_2} & = \frac{3}{12} = \frac{1}{4} \\ \frac{b_1}{b_2} & = \frac{4}{16} = \frac{1}{4} \\ \frac{c_1}{c_2} & = \frac{5}{15} = \frac{1}{3} \end{aligned}[/tex]

[tex]\displaystyle \frac{a_1}{a_2} = \frac{b_1}{b_2} \neq \frac{c_1}{c_2}[/tex]

So, the given pair of linear equations are parallel lines and hence will have no solution.

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A perpendicular bisector is a bisector to a line segment which makes an angle of 90° with the line segment.

A perpendicular bisector is usually constructed by using a compass and a straightedge. It can also be constructed using a protractor.

Construction of perpendicular bisector using a compass and straightedge.

Thus we get the perpendicular bisector.

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This is equivalent to finding the solutions of the equation x1 + x2 + x3 + x4 + x5 = 21 and with an application of Theorem 2: r = 21, n = 5, so we have C(21+5-1, 21) = C(25, 21) = 12,650 solutions

Consider the pair of linear equations in two variables x and y.

a1x + b1y + c1 = 0

a2x + b2y + c2 = 0

Here a1, b1, c1, a2, b2, c2 are all real numbers.

Note that, a12 + b12 ≠ 0, a22 + b22 ≠ 0

1. If (a1/a2) ≠ (b1/b2), then there will be a unique solution. If we plot the graph, the lines will intersect. This type of equation is called a consistent pair of linear equations.

2. If (a1/a2) = (b1/b2) = (c1/c2), then there will be infinitely many solutions. The lines will coincide. This type of equation is called a dependent pair of linear equations in two variables

3. If (a1/a2) = (b1/b2) ≠ (c1/c2), then there will be no solution. If we plot the graph, the lines will be parallel. This type of equation is called an inconsistent pair of linear equations.

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Answer:

18 centimeters

Step-by-step explanation:

3 x 3 x 2 x 1 = 18

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On simplifying the equation (x + 10)² = 256 the dimensions of the original photo is obtained as 6 inches by 6 inches.

What is an equation?

A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("=").

The measure of side of original square photo is x.

The square photo is enlarged by adding 10 inches to it = x + 10

The area of the enlarged square photo is 256 in².

The formula for area of a square is = (side)²

So, the equation to find the side of original photo is -

(x + 10)² = 256

Apply the formula (a + b)² = (a² + 2ab + b²) on the left hand side -

x² + 20x + 100 = 256

x² + 20x + 100 - 256 = 0

x² + 20x - 156 = 0

Factorize the quadratic equation to find the value of x -

x² + 20x - 156 = 0

x² + 26x - 6x - 156 = 0

x(x + 26) - 6(x + 26) = 0

(x + 26) (x - 6)

x = -26, x = 6

Since the side of the square photo cannot be negative, so x = 6 is the correct answer.

The sides of the square are same.

Therefore, the original photo had measurements 6 inches by 6 inches.

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Answer:

  3

Step-by-step explanation:

Given that installing 6 apps increases the Eric : Ian app ratio from 3:4 to 5:4, you want to know how many more apps Ian needs to install to have the same number as Eric.

We note that the number of apps representing Ian's apps remains at 4 in both ratios, but increasing Eric's apps by 6 changes his number of ratio units from 3 to 5, a change of 2 ratio units. That is, each ratio unit represents 3 apps.

Eric now has 1 more ratio unit (5) than Ian (4), so Ian needs to increase his number by 1 ratio unit, or 3 apps.

Ian must install 3 apps to have the same number as Eric.

__

Additional comment

To see how many actual apps we're talking about, multiply the ratios by 3. The initial Eric : Ian app ratio was 9 : 12. After Eric installed 6, it became (9+6) : 12 = 15 : 12. So, Ian needs to install 15-12 = 3 apps to have as many as Eric.

Combining like terms to simplify the expression 10x + x + 8 will be 11x + 8.

An expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator. Some of the mathematical operations that are illustrated in this case include addition, subtraction, etc.

In this case, combining like terms to simplify the expression 10x + x + 8 will be:

= 10x + x + 8

= 11x + 8

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Complete question

If possible combine like terms to simplify the following expression.

10x + x + 8

The probability a player will be more likely to wear a white jersey than a blue jersey because P(White) > P(Blue). Option C is correct.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

Here,
Probabilities of wearing specific jersey colors,
Yellow 0.47

Blue 0.18

White 0.35

So,
P(Yellow)> P(White) > P(Blue).

It implies that, from the options, the player will be more likely to wear a white jersey than a blue jersey because P(White) > P(Blue).

Thus, option C is correct.

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Answer: C: The player will be more likely to wear a white jersey than a blue jersey because P(White) > P(Blue).

Step-by-step explanation:

By excluding (10, 15), a better description can be given for the data set. The correct option is C.

A scatter plot is a particular kind of plot or mathematical diagram that displays values for typically two variables for a collection of data. It uses Cartesian coordinates. A second variable can be shown if the points are coded.

Overall, this data seems to suggest a decreasing trend.  The value (10, 15) is an outlier; if we remove it, the trend appears to be stronger.  Thus if we exclude this value we can give a better description of the data set.

The missing image is attached with the answer below.

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The value of x=2x-10

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Their ages are determined using the replacement approach.

The age gap between Joy and her brother is ten years.

It is an equation system in which one is always the highest power of the variable. a figure with only one dimension and no width. It consists of an endless number of parallel points.

Joy and her brother are a combined age of 24, making them.

Three years older than double Joy's age is her brother.

a disparity in ages between Joy and her brother.

Let x be the age of Joy, and y be the age of her brother.

then in accordance with the first requirement.

x + y = 24 .

(1)\s2x + 3 = y .

The resolution of equations 1 and 2. We obtain x = 7 and y = 2x + 3 y = 17, respectively.

The age gap between Joy and her brother is the next point.

y - x = 17 - 7 = 10

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[tex](\stackrel{x_1}{6}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{7}~,~\stackrel{y_2}{7}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{7}-\stackrel{y1}{5}}}{\underset{\textit{\large run}} {\underset{x_2}{7}-\underset{x_1}{6}}} \implies \cfrac{ 2 }{ 1 } \implies 2[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{5}=\stackrel{m}{ 2}(x-\stackrel{x_1}{6}) \\\\\\ y-5=2x-12\implies {\Large \begin{array}{llll} y=2x-7 \end{array}}[/tex]

Answer:

y = log4x

Step-by-step explanation:

Using the concept of proportions and similar triangle, the value of x is 11

A similar triangle is a triangle that has the same shape as another triangle, but not necessarily the same size. Two triangles are similar if and only if their corresponding angles are equal and the ratios of their corresponding sides are equal.

The Similar Triangles Theorem states that if two triangles have corresponding angles that are congruent, then their corresponding sides are in proportion. In other words, if two triangles have the same shape, the ratio of any pair of corresponding sides is always the same.

In this problem, we can use the concept of proportions to determine the value of x

6 / (48 + 6) = 5 / ( 5 + 3x + 7)

6 / 54 = 5 / 3x + 12

Cross multiply both sides and solve for x

6(3x + 12) = 54 * 5

18x + 72 = 270

18x = 270 - 72

18x = 198

x = 11

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In graphs, The minutes are shown on the x axis. The water depth is shown on the y axis (inches) Therefore, the depth of the water lowers with increasing minutes. Consequently, there is a change in water depth every minute

Mathematicians use graphs to logically convey facts or values using visual representations or charts. A graph point will typically reflect a relationship between two or more things. Nodes, or vertices, and edges make form a graph, a non-linear data structure. Glue together the nodes, often referred to as vertices. This graph has vertices V=1, 2, 3, 5, and edges E=1, 2, 1, 3, 2, 4, and (2.5), (3.5). (4.5). Statistical charts (bar charts, pie charts, line charts, etc.) graphical representations of exponential growth. a logarithmic graph in the shape of a triangle

The graph shows the depth of water in a bathtub as water drains out.

The graph shows that as the value of x increases, the value of y decreases.

The minutes are shown on the x axis.

The water depth is shown on the y axis (inches)

Therefore, the depth of the water lowers with increasing minutes.

Consequently, there is a change in water depth every minute.

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The circles with numbers with no consecutive numbers between the circle joined by a line segment are given as

1 - 3 - 5

|          |

7        8

|          |
2 - 4 - 6

A circle is a two-dimensional figure with a radius and circumference of 2πr.

The area of a circle is πr².

We have,

Numbers:

1 to 8.

Now,

1 - 3 - 5

|          |

7        8

|          |
2 - 4 - 6

Thus,

The circle has numbers where no consecutive circles are having consecutive numbers joined by a line segment.

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In the equations 4 x + 16 y = 12 and x + 4 y = 3, x is equal to 125 and y is equal to 32.

Simplifying

[tex]$4 \mathrm{x}+16 \mathrm{y}=12$[/tex]

Solving

[tex]$4 \mathrm{x}+16 \mathrm{y}=12$[/tex]

X's variable is being solved for.

All terms containing X should be shifted to the left, and all other terms to the right.

'-16y' should be included to both sides of the equation.

[tex]$4 \mathrm{x}+16 \mathrm{y}+-16 \mathrm{y}\\=12+-16 \mathrm{y}$[/tex]

Combine 1 related words:16 y+-16 y=0

[tex]$4 \mathrm{x}+0=12+-16 y$[/tex]

[tex]$4 \mathrm{x}=12+-16 \mathrm{y}$[/tex]

Subtract 4 from each side.

x=3+-4 y

Simplifying

x+4 y=3

Solving

x+4 y=3

x's value is being solved for.

Put all phrases that include x to the left and all others to the right.

'-4y' should be included to both sides of the equation.

x+4 y+-4 y=3+-4 y

Combining related terms: 4 y+-4 y=0

x+0=3+-4 y

x=3+-4 y

Simplifying

x=3+-4 y

x = 125 and y= 32 .

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Answer:

B

Step-by-step explanation:

Isosceles has two of the same lengths

Isosceles is also an acute angle, since the angles are less than 90 degrees.

Hope this helped!

Take the root of both sides and solve. The value of c is 13.19.

The Pythagorean theorem aids in determining the lengths of a right triangle's sides. It indicates that a and b are the sides that make up the right angle, and c is the hypotenuse, and that a2+b2=c.

The square of the difference between two integers may be calculated using the a + b whole square formula as well as the binomial term when squared.

Take the root of both sides and solve.

Exact Form:

== √174,-√174

Decimal Form:

c = 13.19090595...,-13.19090595.

Take the root of both sides and solve. The value of c is 13.19.

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