find the range of g
choose one answer
-4(x)9
the g(x) values -4,0,&9
-5(x)4
the g(x) -values -5, -2, 1, 3, and 4

The maximum possible outcome for the given situation is 36.

The number of favorable events to all the events in an experiment is the ratio that makes up the probability formula. Theoretical probability, Experimental probability, and Axiomatic probability are the three categories into which probability can be divided.

Given, Ruby is designing a new board game and is trying to figure out all the possible outcomes. she flips a coin, rolls a fair die in the shape of a cube that has six sides labeled 1 to 6, and spins a spinner with three equal-sized sections labeled Walk, Run, Stop.

Since there are three things happening simultaneously and favorable moments will be chosen by all three.

Thus Maximum possible outcome = 2 * 6 * 3 = 36

Therefore, For the given situation, 36 outcomes are available in total.

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The graph would be a straight line with a slope of 4, passing through the origin.

The equation f(x) = 4x can be expressed in slope-intercept form as y = 4x + 0, where the slope is 4 and the y-intercept is 0. This means that the graph of f(x) = 4x is a straight line with a slope of 4 that passes through the origin (0, 0).

The graph of f(x) = 4x is a line with a positive slope that passes through the origin and extends infinitely in both the positive and negative directions. The y-intercept is 0 and the x-intercept can be found by setting y = 0 and solving for x, which gives x = 0. For any given x-value, the corresponding y-value can be found by substituting the x-value into the equation f(x) = 4x and solving for y. As x increases, y increases proportionally, so the graph represents a linear, increasing relationship.

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The 4 examples of data types are Integer - a whole number that can be positive, negative, or zero. Float - a number with decimal points. String - text or characters. Boolean - a true or false value.

Data types are the different kinds of data that can be stored in a computer system. They are used to define the type of data a variable can hold.

The four most commonly used data types are Integer, Float, String, and Boolean.

An Integer is a whole number that can be either positive, negative, or zero. Integers are used for counting and manipulating whole numbers.

A Float is a number with decimal points. It is used for storing numerical values that require a more precise representation.

A String is a set of characters and text. It is used for storing textual information such as names and addresses.

A Boolean is a true or false value. It is used for evaluating logical expressions and making decisions based on certain conditions.

Overall, data types are used to specify the kind of information that a variable can store and to ensure that data is stored in a consistent and organized manner.

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Answer: 25

Step-by-step explanation:

The total number of ways to seat the people in a row such that John, Wilma, and Paul refuse to sit in three consecutive seats is 4320.

There are a few different ways to approach this problem, but one possible method is to use the principle of inclusion-exclusion.

We start by counting the total number of ways to seat the people in a row of chairs without any restrictions. Since there are n chairs, there are n! ways to seat the people in a row.

Next, we count the number of ways to seat the people in a row such that John, Wilma, and Paul are seated in three consecutive seats. Since there are n-2 chairs between the three chairs that John, Wilma, and Paul are not allowed to sit in, there are (n-2)! ways to seat the people in a row such that John, Wilma, and Paul are seated in three consecutive seats.

Finally, we use the principle of inclusion-exclusion to find the total number of ways to seat the people in a row such that John, Wilma, and Paul are not seated in three consecutive seats.

The total number of ways to seat the people in a row such that John, Wilma, and Paul are not seated in three consecutive seats is n! - (n-2)!

For example, if there are 7 chairs, the total number of ways to seat the people in a row such that John, Wilma, and Paul are not seated in three consecutive seats is 7! - (7-2)! = 5040 - 720 = 4320

So, the total number of ways to seat the people in a row such that John, Wilma, and Paul refuse to sit in three consecutive seats is 4320.

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Answer:

Step-by-step explanation: 40$

To build 60 birdhouses, Seth will need 40 boxes of nails

A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 3 girls you could write the ratio as: 1 : 3 (for every one boy there are 3 girls) 1 / 4 are boys and 3 / 4 are girls. 0.25 are boys (by dividing 1 by 4)

Seth uses 20 nails for a birdhouse. This means that to build 60 birdhouses, Seth will need 60×20 = 1200 nails

In each box there are 30 nails;

This means that 1200 nails will contain 1200/30 boxes = 40 boxes.

Therefore the number of boxes of nails Seth will need to build 60 birdhouses is 40.

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Answer: 12.5

Step-by-step explanation:

Let's first find the perimeter.

P = 2l + 2w

Since Mr.Wilson's perimeter equals Ms.Krietz's, we can use the same number for both.

P = 2(30)+2(20) = 100

Since the length of Ms.Krietz's homeroom is 1.25x the length of Mr.Wilson's, we can substitute that

l = 1.25(30) = 37.5

100 = 2(37.5) + 2w

100 = 75 + 2w

25 = 2w

w = 12.5

The area of the given figure is 51.63 m².

Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.

In the given combination figure, there are three geometrical shapes rectangle, triangle and semicircle.

Now, in triangle base =3 m and height =5 m

So, area of a triangle = 1/2 ×Base×Height

= 1/2 ×3×5

= 7.5 m²

In rectangle length= 6 m and width =5 m

Area of rectangle = Length×Width

= 6×5

= 30 m²

In semicircle, radius =6/2 =3 m

Area of a semicircle = πr²/2

= 3.14×3×3/2

= 14.13 m²

Total area = 7.5+30+14.13

= 51.63 m²

Therefore, the area is 51.63 m².

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Answer:

x > or equal to $440

Step-by-step explanation:

66,000/150=440

Answer:

Step-by-step explanation:

A spot height shows exact heights by a black dot with a number next to it. The number is the height above sea level in metres. Trig points or Triangulation Pillars are another way of spotting the top of a mountain on a map

3y + 2x = 44 is the equation of the line through (10, 8) and (4, 12).

A linear equation has the slope-intercept form y = mx + b. Variables in the equation are x and y. When x is 0, the integers m and b provide the line's slope (m) and the value of y. Because (0,y) is the location where the line crosses the y-axis, the value of y when x is 0 is referred to as the y-intercept.

Given, two coordinates of a line [tex]\left(10,8\right) and \left(4,12\right)[/tex]

The slope of the line formula is:

[tex]m = \frac{y₂ - y₁}{ x₂ - x₁}[/tex]

Let's substitute our numbers.

[tex]m = -\frac{8 -12}{4-10}[/tex]  =  -4/6

The GCF of these two numbers is 2

So, our slope  =  -2/3

The general equation of a line is y = mx +c

Therefore the equation of the line is y = -2/3x + c

Since, this line passes through ( 10, 8 )

Hence, it must satisfy these coordinates

8 = -2/3 * 10 + c

44/3 = c

Thus the equation of the line is y = -2/3x +44/3

the equation of the line is 3y + 2x = 44.

Therefore, The equation of the line that passes through (10, 8) and (4, 12) is 3y + 2x = 44.

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The extreme value of this equation has a minimum at the point (2,5).

Quadratic equations are the polynomial equations of degree 2 in one variable of type f(x) = ax^2 + bx + c = 0 where a, b, c, ∈ R and a ≠ 0. It is the general form of a quadratic equation where 'a' is called the leading coefficient and 'c' is called the absolute term of f (x).

All of given options contain quadratic functions. One way to determine the extreme value is squaring the expression with variable x.

Option B contain the expression where you can see perfect square. Thus, equation  y =-3(x-2)^2+5  (choice B) reveals its extreme value without needing to be altered.

To determine the extreme value of this equation, you should substitute x=2 (then x value that makes expression in brackets becomes equal to zero) into the function notation:

y =-3(x-2)^2+5

substitute x = 2,

y =-3(2-2)^2+5

y =0+5

y =5

Therefore, The extreme value of this equation has a minimum at the point (2,5).

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The extreme value of this equation has a minimum at the point (2,5).

Now, According to the question:

All of given options contain quadratic functions. One way to determine the extreme value is squaring the expression with variable x.

Option B contain the expression where you can see perfect square. Thus, equation :

y = [tex]-(x - 2)^2 + 5[/tex]

(choice B) reveals its extreme value without needing to be altered.

To determine the extreme value of this equation, you should substitute x=2 (x-value that makes expression in brackets equal to zero) into the function notation:

y = [tex]-(2 - 2)^2 + 5[/tex]

Hence, The extreme value of this equation has a minimum at the point (2,5).

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The complete question is this:

Select the correct answer from each drop-down menu.

Consider the equations below.

Use the equations to complete the following statements.

Equation __ reveals its extreme value without needing to be altered. The extreme value of this equation has a ____ at the point (__,__ ).

Answer:

not sure

Step-by-step explanation:

not sure sqauredxfree bagdes

=answer

On solving the given system of equations 3x + 4y = -25 and 2x - 3y = 6 by using the elimination method , we get that the value of x is -3  and value of y is -4 .

The System of equations to be solved by elimination method is given as :

3x + 4y = -25 ....equation(1) and

2x - 3y = 6 ;.....equation(2)

By the method of elimination ;

we multiply the equation(1)  by 2 ;

we get ⇒ 6x+8y = -50    ....equation(3) ;

we multiply the equation(2)  by 3 ;

we get ⇒ 6x-9y = 18    ....equation(3) ;

Subtracting equation(4) from equation(3) ,

we get ;

⇒ 17y = -68 ;

⇒ y = -4 ,

Substituting y as -4 in the equation "2x - 3y = 6"  , we get x = -3 .

The given question is incomplete , the complete question is

How do you solve the system of equations 3x + 4y = -25 and 2x - 3y = 6 , by using the elimination method ?

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Answer:

540,000

Step-by-step explanation:

We can simplify the given expression -6x - 12 + 8y + 16x to get:

10x - 12 + 8y

Here we want to simplify the expression below:

-6x - 12 + 8y + 16x

To simplify this we need to try to find common factors, the only common factor that we can see on the equation is "x", then we can rewrite the expression:

-6x - 12 + 8y + 16x

-6x + 16x - 12 + 8y

Now we can rewrite the first two terms as:

(-6 + 16)*x - 12 + 8y

10x - 12 + 8y

That is the simplified expression.

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A drop of water is denser than a ping-pong ball.

Usually, water is made of particles that are firmly pressed together. In differentiation, plastic (the material ping pong balls are made of) may be a lightweight fabric and the particles are not as firmly stuffed together.

The thickness of a ping pong ball is 0.0840 g/cm³, though water’s thickness is 997 kg/m³. Subsequently, ping pong balls aren’t about as thick as water and will continuously coast and surface greatly quickly.

The ping pong ball appears to oppose gravity and coast within the air.

Ping-pong balls drift within the water since they are amazingly lightweight, empty, and filled with air. Too, the water’s surface pressure makes it simple for the ping pong ball to drift.

In expansion, water is denser than ping pong balls, making them look for the most noteworthy point of water.

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The sound which we hear when the pig pong ball is bounced on the floor

is 19.48 DB

The repeating of sounds, especially in rhyme, is the form of repetition that most people connect with poetry. Alliteration, assonance, and onomatopoeia are other sound patterns in poetry that give additional meaning in addition to rhyme. Every one of these audio elements has a certain purpose in a poem.

a) [tex]\sum \ log(n)[/tex]

by expanding the series for each value of n is

log (1) + log (2) + log(3) + log (4) + ......... + log ( 96)

simplify the expanded form we get

0 + 0.3010 + 0.4771+0.6020 ......................... + 1.982

=> 149.9963

b) [tex]\sum_{n=0}[/tex] to infinity [tex]\sqrt{0.9^n}[/tex]

formula for the sum of number in geometric progression

is  a/1-r

to find the ratio of the successive terms

plugging into the formula

r = [tex]\frac{a_{n+1}}{a_n}[/tex]

r = [tex]\frac{\sqrt{0.9^{n+1}} }{\sqrt{0.9^n} }[/tex]

=> r = [tex]\frac{\sqrt{0.9^n \times 0.9} }{\sqrt{0.9^n} .1}[/tex]

=> r = [tex]\frac{\sqrt{0.9} }{1}[/tex]

=> r = [tex]\sqrt{0.9}[/tex]

=> a = [tex]\sqrt{0.9^0}[/tex]

=> a = [tex]\sqrt{1}[/tex]

=>  a= 1

by applying the formula having the value a =1 is

[tex]\frac{1}{1-\sqrt{0.9} }[/tex]

rationalize the denominator by multiplying with [tex]1+\sqrt{0.9}[/tex]

=> [tex]\frac{1+\sqrt{0.9} }{(1-\sqrt{0.9} ) (1+\sqrt{0.9}) }[/tex]

=> 19.4868

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{(-4, 3), (5, -1), (0, 2), (x, y)} set of ordered pairs (1, -3) could represent a linear function.

In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable (the dependent variable) (the dependent variable). In mathematics and the physical sciences, functions are indispensable for formulating physical relationships.

Linear function is a function whose graph is a straight line

For option A:

m=1+2/3-1=3/2

m=3/2

m=7-4/8-5=3/3=1

Slopes are not same

For option B:

m=3-6/-3+6=-3/3=-1

m=0-3/0+3=-1

m=-4/3

Slopes are same

Slopes are same at every point, so this set of ordered pairs could represent a  linear function

Hence, the correct option is B.

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Answer:relative frequency table

Step-by-step explanation:

On solving the provided question, we can say that - the function value will be [tex]g(x) = -3 + 12x + 15[/tex] and

The topic of numbers, formulae and associated structures, forms and the areas where they exist, quantities and their variations, and spaces where they exist are all included in the field of mathematics. An association between a collection of inputs, each of which has an output, is known as a function. A function is, to put it simply, a relationship between inputs and outputs, where each input has a single, specific outcome. A domain and a codomain, or scope, are assigned to each function. Typically, f is used to represent functions (x). input is x. Four different sorts of functions are available. Based on the following items: One-to-one functions, many-to-one functions, on functions, one-to-one functions, and within functions.

Here,

[tex]y =a(x-x1)(x-x2),[/tex] y equals a(x-5)(x+1)

g(x) = -3(x-5)(x+1)

[tex]g(x) = -3(x-5)(x+1)[/tex]

g(x) = -3 + 12x + 15

y-intercept of g(x) is (0,15)

Therefore , the solution to the given problem of the equation comes out be  y-intercept of g(x) is (0,15).

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The scale factor, given the pre - image and the image, can be found to be 2.

The scale factor is the measure that either increases or decreases the size of a shape. When the scale factor is an integer then the size of the shape increases.

When the scale factor is a fraction with a larger denominator than numerator, the shape decreases.

To find the scale factor, look at the relationship between a point on the pre - image and the corresponding point on the image. For the points, ( -5, 3 ) and ( -10, 6 ) the scale factor would be :

= -10 / -5                                    or,                = 6 / 3

= 2                                                                  = 2

The scale factor is therefore 2.

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Answer:

Step-by-step explanation:

This should help

Answer:

Step-by-step explanation:

i think 1

The equation that represents the situation could be 3/4(18 + s) = 31.50 and the solution is s = 24 thus option (D) is correct.

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

In another word, the equation must be constrained with some constraints.

Part (A)

Given that;

Cost of skirt = s

cost of blouse = $18

She bought it at 3/4 of that cost,

The Total pay = 3/4 of the total cost

3/4(18 + s) = 31.50

Part (B)

By the distributive property of multiplication then we get;

3/4(18) + 3/4(s) = 31.50

3/4(s) = 31.50 - 13.5

3/4(s) = 18

s = 18 x  4/3 = 24

Hence "The answer is s = 24"

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We can rewrite m^91 + 2m^90 as (m+2m^90)^2 - m^90.

We are looking for values of m such that m+2m^90 is an integer.

For m = 30, m+2m^90 = 30 + 230^90 = 30 + 2(30^90) = 60, which is an integer.

For m = 24, m+2m^90 = 24 + 224^90 = 24 + 2(24^90) = 48, which is also an integer.

For the other values of m, m+2m^90 is not an integer. Therefore, the only values of m for which m^91 + 2m^90 is the square of an integer are m = 24 and m = 30.

The slope(m) of the line that passes through the points (1, −3) and (3, −5) is m = -1.

The slope of a line determines the inclination of the line with the positive x-axis.

The slope of the line passing through (x1, y1) and (x2, y2) is given by m =(y2 - y1) / (x2 - x1)

Given that,

Here, (x1, y1) = (1, −3) and (x2, y2) = (3, −5)

m = (y2 - y1) / (x2 - x1)

m = [-5 - (-3)] / [3 - 1]

m = [-5 + 3] / [2]

m = [-2] / 2

m = -1

Slope = m = -1

Thus, The slope(m) of the line that passes through the points (1, −3) and (3, −5) is m = -1.

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The null hypothesis is a statement of no change, no effect, or no difference.

The null hypothesis is a statement or assumption that there is no relationship between two variables or no difference between two groups, and any observed differences are likely due to chance. It is often denoted as H0. In scientific research, the null hypothesis is usually tested against an alternative hypothesis, which proposes that there is a relationship or difference.

For example, in a medical study, the null hypothesis might be that a new treatment has no effect on a certain disease, while the alternative hypothesis is that the treatment does have an effect. The researcher would then collect data and use statistical methods to test the null hypothesis against the alternative hypothesis.

It's important to notice that a failure to reject the null hypothesis doesn't mean the null hypothesis is true, it only means that there isn't enough evidence to reject it.

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Answer:50400cm2

Step-by-step explanation:lxWxH

Answer:

The length of the prism can be found by using the formula for volume of a rectangular prism, which is: V = lwh. Rearranging the formula to solve for l, the length, we get l = V / (wh). In this case, V is 840, w is 10, and h is 6. Plugging these values into the equation, we get l = 840 / (10 * 6) = 14 inches. Therefore, the length of the rectangular prism is 14 inches.

Step-by-step explanation:

The length of the prism can be found by using the formula for volume of a rectangular prism, which is: V = lwh. Rearranging the formula to solve for l, the length, we get l = V / (wh). In this case, V is 840, w is 10, and h is 6. Plugging these values into the equation, we get l = 840 / (10 * 6) = 14 inches. Therefore, the length of the rectangular prism is 14 inches.

Answer:

$0.40 per hour

(This is 40cents per hour)

Step-by-step explanation:

The "hourly wage" is a rate, a ratio, a comparing of two numbers. We are comparing dollars and hours. So we have information given in the problem about the $ and hours. Compare these two numbers and then simplify. Because we need the hours, on the bottom, to be 1 hour. "Per hour" means per ONE hour.

dollars/hours

= $3.20/ 8hours

Divide.

= $0.40/1 hour

This is the hourly wage, $0.40 (or 40cents) per hour.