Exponential functions have the form f(x)= b^x. What type of an exponential function would you have (increasing or decreasing) if the value of b is greater than one?.

Justin and Tim have played the same game a total of 10 times.

There are 10 players in Crestwood Elementary's four-square league, including Justin and Tim. Over the course of a semester, each possible match-up of five players occurs once. This means that Justin and Tim have played the same game a total of 10 times.

To calculate this, we need to consider the different combinations of players that can make up a five-person game. There are a total of 10! (10 factorial) permutations of the 10 players, meaning that each possible game is made up of different players.

This includes the combination of Justin and Tim, which occurs 10 times. Therefore, Justin and Tim have played the same game 10 times during the semester.

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A dataset's mean (also known as the arithmetic mean, which differs from the geometric mean) is calculated by dividing the sum of all values by the total number of values. The term "average" is frequently used to describe this measure of central tendency.

What does the mode mean?

By summing all the numbers in a data collection and dividing by the total number of values in the set, the mean (average) of the data set can be determined.

            A data collection is ordered from least to largest, and the median is the midpoint number. A data set's mode is the number that appears the most frequently.

What are the mean, median, and example?

The most frequent number, or the one that happens the most frequently, is known as the mode.

                    Example: Since the number 2 appears three times, more than any other number, it is the mode of the numbers 4, 2, 4, 3, and 2.

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Expression is a constant, variable or constant multiplied by a variable separated by operator.

Identity, as we all know, is equality, which holds true regardless of the variable's value. These identities are algebraic formulas that show that for all possible values of the variable, the Left-Hand Side (LHS) and the Right-Hand Side (RHS) of the equation are equal. A phrase that can have any value is called a variable.

Monomial, polynomial and binomial are the three types of algebraic expression.

An expression with variables, constants, and algebraic operations is known as an algebraic expression (like subtraction, addition, multiplication, etc.). Terms comprise expressions. For instance: 5x+20y, 6-8x.

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The image of (-4, 5) after a translation right 5 units and 2 units up is (1, 7).

What is the image of the point?

The given point P is "reflected" in the mirror and appears on the other side of the line an equal distance it. Drag the point P to see this. The reflection of the point P over the line is by convention named P' (pronounced "P prime") and is called the "image" of point P.

Going right means the x value goes up. In this case, it went to the right 5 spaces. so, all you have to do is add 5 with -4 which is 1.

When going up on a graph, the y value goes up as well. Add 2 with 5 which is 7.

Therefore, the answer is  (1, 7).

Hence , the image point (-4, 5) after a translation right 5 units and 2 units up is (1, 7).

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All the three sides of one triangle are equivalent to the corresponding three sides of the second triangle, then the two triangles are said to be congruent by SSS rule.

SSS Theorem: The Side Side Side (SSS) Theorem states that all three sides of a triangle are congruent (identical) to the corresponding sides of another triangle, then the triangles themselves are also congruent.

Example of SSS Triangles:
From the figure:

These are SSS triangles. Given that they have the exact same measurements, we can deduce the following:

AB = XY

BC = YZ

AC = XZ

If we know that AB = 5 units, then XY also equals 5 units.

And if BC = 4 units, then YZ also equals 4 units.

Further, if AC = 7 units, then XZ also equals 7 units.

Then the two triangles are said to be congruent by SSS rule.

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Answer:

Depends on your school. I took Pre-calculus my 11th grade year. Sometimes it is Algebra 2.

Answer:

  2. negative infinity to five thirds and five thirds to infinity

Step-by-step explanation:

You want the domain of the rational function f(x) = (x +4)/(3x -5).

The domain is the set of input values for which the function is defined. A rational function is undefined when its denominator is zero. f(x) is undefined when ...

  3x -5 = 0

  x = 5/3

So, the value 5/3 must be excluded from the domain of f(x). The domain of f(x) is ...

  -∞ < x < 5/3  ∪  5/3 < x < ∞

By the distribution property 6(1/2 + 2/3+3/4) = 23/2    

According to the distributive property, multiplying the difference or aum of numbers will be equivalent to multiplying the individual parts of the difference or sum.

The expression that can explain the above rule is A ( B+ C) = AB + AC

Here we have

6(1/2 + 2/3+3/4)    

By distribution property

=> 6(1/2 + 2/3+3/4)  

= 6(1/2) + 6(2/3)+ 6(3/4)  

= 3 + 2(2) + 3(3/2)          

= 3 + 4 + 9/2

= 7 + 9/2

=  (14+9)/2        [ add 7 and 9/2 by taking 2 as LCM ]

=  23/2  

Therefore,

By the distribution property 6(1/2 + 2/3+3/4) = 23/2    

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Complete Question:

1. Find the value of this fraction computation: 6(1/2 + 2/3+3/4)    

Answer:

3 units.

Step-by-step explanation:

In the equation x = 1/12 (y-1)², the vertex of the parabola is at the point (1,1). The focus of the parabola is located a distance called the "focal length" from the vertex.

The focal length is given by the formula f = 1/(4*p), where p is the coefficient of the x term in the standard form of the equation of the parabola.

In this case, the coefficient of the x term is 1/12, so the focal length is f = 1/(4*(1/12)) = 3. This means that the distance from the focus to the vertex is 3 units.

Answer:

x = 7/19

Step-by-step explanation:

(3x-2)-3(2x+1)=4(4x-3)

3x - 2 - 6x - 3 = 16x - 12

-19x = -7

x = 7/19

Answer:

x = 7/19

Step-by-step explanation:

(3x-2)-3(2x+1)=4(4x-3)

3x - 2 -6x -3 = 16x -12

-3x -5 = 16x -12

-5 = 19x -12

7 = 19x

x = 7/19

The factors of 6x² 5x 6 are: 1, 2, 3, 5, 6, 10, 15, 30, x, 2x, 3x, 5x, 6x, 10x, 15x, 30x, x², 2x², 3x², 5x², 6x².

1. Find the common factors of 6x², 5x, and 6:

The common factors are 1, 2, 3, 5, and 6.

2. Find the factors of each individual term:

For 6x²: 1, 2, 3, 6, x, 2x, 3x, 6x, x², 2x², 3x², and 6x².

For 5x: 1, 5, x, and 5x.

For 6: 1 and 6.

3. Combine the factors from each term to get the full list of factors:

The full list of factors is: 1, 2, 3, 5, 6, 10, 15, 30, x, 2x, 3x, 5x, 6x, 10x, 15x, 30x, x², 2x², 3x², 5x², and 6x².

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The volume of the rectangular prism is 3 times the volume of the rectangular pyramid.

Consider a rectangular prism with length l, width w and height h.

The volume of the rectangular prism is:

volume of a rectangular prism = length * width * height

V1 = l * w * h

Consider a rectangular pyramid with rectangular base of length l1, width w1 and the height of pyramid is h1.

The volume of the rectangular pyramid is:

volume of a rectangular pyramid = 1/3 * base area * height

Here, base area = length * width

                          = l1 * w1

So, volume of a rectangular pyramid = 1/3 * base area * height

V2 = 1/3 * l1 * w1 * h1

We have been given a rectangular prism and a rectangular pyramid have equal length, width and height .

l1 = l, w1 = w and h1 = h

so, V2 = 1/3 * l * w * h

V2 = 1/3 * V1

V1 = 3 * V2

volume of a rectangular prism = 3 * volume of a rectangular pyramid

Therefore, the relationship between the volumes of a rectangular prism and a rectangular pyramid whose length width and height are all equal:

volume of rectangular prism = 3 * volume of a rectangular pyramid

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Therefore , the solution to the given problem of the equation whose factors are (4x+1)(3x+2) .

How to analyze the equation?

An equation is a mathematical statement made up of two expressions connected together by the equal sign. For instance, 2x – 5 = 15 is an equation. By resolving this equation, we can establish that the variable x has a value of 5.

According to the given question:

Given expression: 12x² +11x+2

=> 12x² +11x+2

Break the expression into groups

=>  (12+3x) + (8x+2)

Subtract 3x from 12x+3x to get 3x(4x+1).

Add 2 to 8x+2 to get 2(4x+1)

= 3x(4x+1)+2(4x+1)

Factor out common term 4x+10

= (4x+1)(3x+2)

Therefore , the solution to the given problem of the equation whose factors are (4x+1)(3x+2) .

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Answer:60%

Step-by-step explanation:

90-36=54 54/90 = 60

60%

The solution for z in the equation is z = 3y - 1/16(5y + 7x)⁴

From the question, we have the following parameters that can be used in our computation:

2(5y+7x)²=8√(3y-z)

Rewrite the equation

So, we have the following representation

2(5y + 7x)² = 8√(3y - z)

Take the square of both sides

This gives

4(5y + 7x)⁴ = 64(3y - z)

Divide both sides by 64

1/16(5y + 7x)⁴ = 3y - z

So, we have

z = 3y - 1/16(5y + 7x)⁴

Hence, the solution is z = 3y - 1/16(5y + 7x)⁴

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The percent of decrease, in the number of tickets that he has, is 20%.

The term "percentage" refers to any ratio or number that may be expressed as a fraction of 100. And the sign "%" is used to denote it.

Given, Tyrese bought 35 tickets to use at a carnival.

He used some of the tickets to ride the bumper cars and play some games. Now he has 28 tickets left.

That means,

he used 35 - 28 = 7 tickets.

To find the percentage of decrease:

Let m be the percentage of decrease.

Then,

7 = m x 35 / 100

m = 700 / 35

m = 20

Therefore, the percentage of decrease is 20%

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Yes, because the 16 feet ladder will reach to the window that is 14.5 feet above the ground.

Pythagoras' Theorem states that the square of the hypotenuse side of a right-angled triangle equals the sum of the squares of the other two sides.

The hypotenuse of a triangle, which has a straight angle of 90 degrees, has a square that, according to the Pythagoras theorem, equals the sum of the squares of the other two sides.

According to the question;

A 20-foot ladder is leaning against the side of a house.

Hypotenuse H= 20 feet

The bottom of the ladder is 12 feet from the base of the house.

Base B = 12 feet

And let P be the perpendicular.

Using Pythagoras theorem

H²= P² + B²

20² =12² +P²

P²= 400-144

P²= 256

Taking the square root.

P= 16 feet.

Since the height of the ladder is 16 feet, and we have to reach 14.5 feet above the ground.

16 > 14.5

That means, the ladder will reach to the window.

Hence, Yes, the 16 feet ladder will reach to the window.

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Answer:

y<= -1/5x-3

Step-by-step explanation:

x+5y<=-15

5y<=-x-15

y<=-1/5x-3

Answer:

B. (w)(y)

Step-by-step explanation:

(w)(y)

= 2 * √8 * 3 * √2

= 2 * √(2*2*2) * 3 *√2

= 2 * √2 * √2 * √2 * 3 * √2

= (2*3) * (√2 * √2) * (√2 * √2)

= 6 * 2 * 2

= 24

Answer:

Step-by-step explanation:

14

Answer: 70% of 20 is 14.

The required total number of people in the stadium are 14500.

In math, a percentage is a number or proportion that can be communicated as a small part of 100. On the off chance that we need to compute percent of a number, partition the number by the entire and increase by 100. Thus, the rate implies, a section for each hundred

2% of the fans in attendance were teenagers, and there are 290 teenagers in number.

Let x be the total number of people in stadium.

So, 2% of x = 290

2x/100 = 290

x = 29000/2 = 14500 people

Thus, there are 14500 people in the stadium.

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Answer:

D is the answer

Step-by-step explanation:

By applying the fraction concept, we can conclude that the bunny ate 3/10 food at night.

Application of the concept of fractions in real life

In real life, the concept of a fraction is often used when we want to talk about a part of a whole, a part of something, a part of a group of people, etc.

In the problem above it is stated that initially the bunny has food, which will be eaten in the morning and at night, and some food was left over.

If x is the total food for the bunny, then the given problem can be written mathematically as follows:

breakfast (a) : a = 1/2x

dinner (b)

food left (c) : c = 1/5x

Then the mathematical expression that describes the above situation is as follows:

x = a + b + c

  = 1/2x + b + 1/5x --> then we make the denominators the same, so it becomes:

           x = 5/10x + b + 2/10x

              = 7/10x + b

x - 7/10x = b

     3/10x = b

So, the food that the bunny eats at night was 3/10.

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Answer:

So, the food that the bunny eats at night was 3/10.

:D im jus smart.

The Positive Infinity is called the Lemniscate.

Infinity:

Infinity is anything greater than infinity, infinity, or any natural number. Often represented by the infinity symbol {\displaystyle \infty }\infty. The most interesting point about infinity is – ∞ < x < ∞. This is a mathematical shorthand for negative infinity less than real and positive infinity greater than real. where 'x' represents a real number.

Positive Infinity:

Numbers approach negative infinity as they move left on the number line and positive infinity as they move right on the number line. Negative infinity is always less than any number and positive infinity is always greater than any number.

Positive Infinity: Differs from mathematical infinity in that:

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The distance from point [tex]$a\left(-1,\ 7\right)$[/tex] to the line [tex]$y=3x$[/tex] is about 4.5 units, rounded to the  nearest tenth.

The distance from point [tex]$a\left(-1,\ 7\right)$[/tex] to the line [tex]$y=3x$[/tex] is equal to the length of the perpendicular line from point [tex]$a$[/tex] to the line[tex]$y=3x$[/tex]. The formula to find the distance from a point [tex]($x_1, y_1$)[/tex] to a line [tex]$ax+by+c=0$[/tex] is given by:

[tex]$$\frac{|ax_1+by_1+c|}{\sqrt{a^2+b^2}}.$$[/tex]

Substituting[tex]$$\frac{|ax_1+by_1+c|}[/tex] into the formula, we get:

[tex]$$\frac{|-3(-1)+1(7)+0|}{\sqrt{3^2+1^2}} = \frac{20}{\sqrt{10}}.$$[/tex]

Therefore, the distance from point [tex]$a\left(-1,\ 7\right)$[/tex] to the line [tex]$y=3x$[/tex] is about 4.5 units, rounded to the nearest tenth

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Yes, since the midpoint of a line segment is at an equal distance from the two endpoints, it is said to be equidistant from them.

A point is said to be equally far from a group of objects if there is an equal distance between it and each member of the group.

The perpendicular bisector of two specified (different) points is their location in two-dimensional Euclidean geometry. The locus of points equidistant from two provided points in three dimensions is a plane, and generalizing further, the locus of points equidistant from two given locations in n-dimensional space is a (n1)-space.

The circumcenter of a triangle is a location that is equally spaced from each of the three vertices. This point exists in every non-degenerate triangle. The circumcentre of cyclic polygons is equally far from all of the vertices, and this conclusion may be generalized to them.

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Answer:

Step-by-step explanation:B

A root of degree 5 is called a fifth root.

A radicand, or nth root, in mathematics is a number r that, when raised to the power n, equals the number x: rn = x, where n is a positive integer, also known as the degree of the root. A root of degree 5 is called a fifth root.

The required number is the result of multiplying a fifth root by itself five times.

Due to the fact that two multiplied by itself five times is 32, 532 = 2

Seven multiplied by itself five times is 16807.

Hence 516807 Equals 7 since 7 x 7 x 7 x 7 = 16807.

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From Excel 2007 onwards (2010, 2016, etc.) we have exactly 10,48,576 rows and 16,384 columns.

Now, According to the question:

How many rows and columns does Excel 2013 have?

From Excel 2007 onwards (2010, 2016, etc.) we have exactly 10,48,576 rows and 16,384 columns.

Excel sheet:-

In Microsoft Excel, a sheet is often called a worksheet. A sheet is a single page that contains its own collection of cells to help you organize your data. There can be many sheets in your Excel document and you can see the sheets listed as tabs along the bottom of your document.

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