Lily is designing a new board game, and is trying to figure out all the possible
outcomes. How many different possible outcomes are there if she rolls a fair die in
the shape of a pyramid that has four sides labeled 1 to 4 and rolls a fair die in the
shape of a cube that has six sides labeled 1 to 6?

The relationship between two variables in which one variable doubles when the other variable doubles is called a direct proportion or direct relationship.

This means that the two variables are directly related, and their values increase or decrease in the same proportion.

In mathematical terms, this is represented by a linear equation in the form of y = kx, where y is the dependent variable, x is the independent variable, and k is the constant of proportionality.

Therefore, when x doubles, y doubles as well, and when x triples, y triples as well.

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First part

numerator f cubed g to the power of negative 2

The numerator can be written as

Second part

denorminator h raised to the power of negative 1

The numerator can be written as

combining part one and two

Open parentheses fraction - fraction - close parentheses to the power of 4

This gives

simplifying the expression to remove negative exponent

Simplifying the numerator

simplfying the denorminator

combining simplfied values for numerator and denorminator in the general form we have

Hence, the simplified form of the expression is

Answer:

32

Step-by-step explanation:

let the space be x

x + 27 + x + 27 + x = 150

3x + 54 = 150

3x = 96

x= 32

Hay dos posibles definiciones:

(Lógica) Proposición Abierta con Equivalencia que contiene Elementos tal que esta sea Verdadera.

(Algebraica) Expresión de Igualdad entre un Conjunto de Variables.

Observación: A nuestro modo de ver el enunciado se halla incompleto y consideramos que la solución está en definir el alcance del verbo "recuperar", el cual para estos efectos definimos como "retomar y describir". Por otra parte, se reescribe el concepto como sigue:

Recupera el concepto de ecuación.

Matemáticamente, podemos sacar dos Definiciones al término Ecuación, las cuales son descritas a continuación:

1) Proposición Abierta con Equivalencia que contiene Elementos tal que esta sea Verdadera.

2) Expresión de Igualdad entre un Conjunto de Variables.

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Unicode value of 66, which is the letter "B". Therefore, the correct answer to this question is option B: "B".

The terms you mentioned are related to the Unicode character encoding standard and the concept of evaluating expressions. When discussing the expression "A" + 1, it's essential to note that the Unicode value for the character "A" is 65.

The expression "A" + 1 is attempting to add a numerical value (1) to a character ("A"). In many programming languages, this operation is allowed, and the result would be based on the Unicode values of the characters involved. Since the Unicode value for "A" is 65, adding 1 to it would result in a new Unicode value of 66. Consequently, the evaluated expression would correspond to the character with the Unicode value of 66, which is the letter "B". Therefore, the correct answer to this question is option B: "B".

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The area between z = -1.30 and z = 1.50 is B. 0.0968.

To get the area between z = -1.30 and z = 1.50, we need to subtract the area to the left of z = -1.30 from the area to the left of z = 1.50.
The area to the left of z = -1.30 is the same as the area to the right of z = 1.30, which is 1 - 0.4032 = 0.5968.
The area to the left of z = 1.50 is 0.4332.
Therefore, the area between z = -1.30 and z = 1.50 is 0.4332 - 0.5968 = 0.0968.
So the answer is B. 0.0968.

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Answer:

distance from P to the plane  = 8957.6 m

Step-by-step explanation:

sin23 = 3500 / distance from P to the plane

distance from P to the plane  = 8957.6 m

Using the concept of the slope of a linear function, we have that:

A linear function is modeled by:

y = mx + b

In which:

Given two points in the graph of a function, the slope is given by change in y divided by change in x, hence:

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The topic that is typically discussed when referring to the need for relative figures as opposed to absolute figures is comparative analysis or relative measures.

Comparative analysis involves comparing data or figures in relation to other data or a reference point, rather than focusing solely on the absolute values. It helps provide context and a better understanding of the data by considering factors such as proportions, ratios, percentages, or changes over time. Relative figures are particularly important when dealing with data that varies significantly in scale or when comparing data across different contexts or populations. By using relative figures, researchers or analysts can gain insights into patterns, trends, and relationships that may not be evident when looking at absolute figures alone.

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As per the function represented by the table, the correct function notation is f(5) = 9.

Given a function represented by a table is shown as follows:

x| 2 | 5 | 9

y| 9 | 14| 5

We can say that the ordered pair given in the bottom row can be written using function notation as f(5) = 9.

Function notation is a method to represent functions, and it is usually used in mathematics to make it easier to work with functions.

It helps to identify the input, the function, and the output of a function.

Using function notation:In function notation, the input is represented by the variable x, and the output is represented by the variable y.

Therefore, we can say that f(x) = y.

Using the table, we can see that when x = 5, y = 14.

So, f(5) = 14 is the correct answer to the given question.

Here, we see that the x and y coordinates are swapped from what we are used to.

The correct function notation is f(5) = 9.

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Answer:

7

Step-by-step explanation:

got it right on the test

Answer:

d= 8 t

Step-by-step explanation:

In 1 hour 30 minutes it ran for 12 miles.

So, time t =1.5 hours(Because 1 hour 30 minutes)

distance d =12

We know distance d= rate 'r' * time 't'.

So, using given information , find the rate

12= r *1.5

Divide both sides by 1.5

8=r

So,  equation would be d =8 t.

Where 't' is in hours.

The indefinite integral of √\(x^{11\) × sin(3\(x^{(13/2)\)) dx is -2/39 × cos(3\(x^{(13/2)\)) + C, where C represents the constant of integration.

To evaluate the indefinite integral of √\(x^{11\) × sin(3\(x^{(13/2)\)) dx, we can use substitution. Let's substitute u = \(x^{(13/2)\):

Step 1: Find du/dx:

Differentiating both sides with respect to x:

du/dx = (13/2) × \(x^{(11/2)\)

Step 2: Solve for dx:

Rearrange the equation to solve for dx:

dx = (2/13) × du / \(x^{(11/2)\)

Step 3: Substitute the values in the integral:

∫ √\(x^{11\) × sin(3\(x^{(13/2)\)) dx = ∫ √\(x^{11\) × sin(3u) × (2/13) × du / \(x^{(11/2)\)

Step 4: Simplify the integral:

∫ √\(x^{11\) × sin(3\(x^{(13/2)\)) dx = (2/13) × ∫ sin(3u) du

Step 5: Integrate with respect to u:

∫ sin(3u) du = - (1/3) × cos(3u) + C,

where C is the constant of integration.

Step 6: Substitute back the value of u:

∫ √\(x^{11\) × sin(3\(x^{(13/2)\)) dx = (2/13) × (-1/3) × cos(3u) + C

= -2/39 × cos(3\(x^{(13/2)\)) + C.

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Answer:

Step-by-step explanation:

A

Let's say we fit a batch of data to a least-squares regression line. Outliners are points with abnormally high residual values.

Finding the line that "fits" the scatter plot of the data points the best is the technique of linear regression. Given the value of the independent variable, this is typically used to forecast the value of the dependent variable.

Data points or observations that deviate greatly from the majority of the data due to their anomalous separation from the remainder are known as outliers. They must be taken into account since they have a significant impact on the regression line's slope.

As a result, the response is (c) Outliers can easily be detected by linear regression.

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Answer:

The numbers are 16 and 25

The factorization of x2+11x+18 can be obtained by finding two numbers that multiply to 18 and add up to 11. These numbers are 2 and 9. Therefore, we can write x2+11x+18 as (x+2)(x+9).

This is known as the factored form of the polynomial. It can be useful to have a polynomial in factored form when solving equations or finding zeros of the function. By setting each factor equal to zero, we can find the roots of the polynomial, which are x=-2 and x=-9. Overall, factoring a polynomial involves finding its factors or expressions that can be multiplied together to obtain the original polynomial.

The factorization of the polynomial x^2 + 11x + 18 involves finding two binomial expressions that, when multiplied together, produce the given polynomial. To factor this polynomial, we look for two numbers that multiply to 18 (the constant term) and add up to 11 (the coefficient of the linear term). These numbers are 2 and 9. Therefore, the factorization of the polynomial x^2 + 11x + 18 is (x + 2)(x + 9).

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Answer: the answer is -32

Step-by-step explanation: multiply -2 by itself 5 separate times.

Answer:

-32

Step-by-step explanation:

-2×-2×-2×-2×-2=4×4×-2

=-32

Answer:

9

Step-by-step explanation:

Answer:

4 large folders     ( and 8 small folders....with $ 1 left over)

Step-by-step explanation:

x = small    y = large folders

x+y >= 12      x >= 12-y

3x + 5y <= 45

3 (12-y) + 5y <=45

36 -3y + 5y <= 45

    y <= 4.5               you cannot buy .5 of a large folder, so 4 large folders

Step-by-step explanation:

The primary goal of a debate is for students to generate effective critical thinking into primary issues in the given topic.

Step-by-step explanation:

step by step explaination is in the photo and the final answer is =

The number of elements in the sample space for this experiment is 969.

If a person eating at a cafeteria must choose 3 of 19 vegetables on offer, we can calculate the number of elements in the sample space, or the total number of possible outcomes, using the formula for combinations:

nCr = n! / [r!(n - r)!]

where n is the total number of items in the set and r is the number of items being chosen.

In this case, we have 19 vegetables and we want to choose 3 of them, so we can plug in n = 19 and r = 3:

19C3 = 19! / [3!(19 - 3)!]

= 19! / (3!)(16!)

= 969

Therefore, there are 969 possible combinations of 3 vegetables that a person can choose from a selection of 19 vegetables.

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Answer: To find the value of f(5), we need to substitute 5 for x in the expression f(x) = 8x+5. This gives us:

f(5) = 8*5+5 = 45

So, the value of f(5) is 45.

Answer:

D

Step-by-step explanation:

what is the area of the shape

Answer:

x = 10

Step-by-step explanation:

\(\mathsf{given \ f(x)=x^3 \ and \ f(x)=1000}\\\\\mathsf{\implies x^3=1000}\\\\\mathsf{\implies x=\sqrt[3]{1000}}\\\\\mathsf{\implies x=10}\)

The average height of a tree whose age is 25 years old is 364 inches.

A linear model is an equation that describes a relationship between two quantities that show a constant rate of change.

Given that, a table giving a relation between the height and age of trees.

The linear model representing the same is given by,

y = 13.7x + 21.7, where y is the height and x is the age of a tree,

We need to find the average height of a tree whose age is 25 years old,

To find this, put x = 25 in the linear model given,

y = 13.7 × 25 + 21.7

y = 342.5 + 21.7

y = 364.2

y ≈ 364

Hence, the average height of a tree whose age is 25 years old is 364 inches.

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Answer:

Checking account

Step-by-step explanation:

Answer:

B. Checking Account

Step-by-step explanation:

The measures in the circle given in the image above are calculated as:

1. m<PSQ = 130°;   2. m<AQS = 30°; 3. m(QR) = 100°; 4. m(PS) = 110°; 5. (RS) = 70°.

In order to find the measures in the circle shown, recall that according to the inscribed angle theorem, the measure of intercepted arc is equal to the central angle, but is twice the measure of the inscribed angle.

1. m<PSQ = m<PAQ

Substitute:

m<PSQ = 130°

2. Find m<PBQ:

m<PBQ = 1/2(m(PQ) + m(RS)) [based on the angles of intersecting chords theorem]

Substitute:

m<PBQ = 1/2(130 + 2(35))

m<PBQ = 100°

m<AQS = 180 - [m<BAQ + m<PBQ]

Substitute:

m<AQS = 180 - [(180 - 130) + 100]

m<AQS = 30°

3. m(QR) = m<QAR

Substitute:

m(QR) = 100°

4. m(PS) = 180 - m(RS)

Substitute:

m(PS) = 180 - 2(35)

m(PS) = 110°

5. m(RS) = 2(35)

m(RS) = 70°

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Answer:

20/27

Step-by-step explanation:

The difference between the actual value of the response variable and the corresponding predicted value(regression error) using the multiple regression model is the correct option.

A residual is a measurement of the vertical distance between a point and the regression line. It is just the discrepancy between an actual value observed and a value that was projected.

To ensure that the requirements for making conclusions about the coefficients in a linear model have been met, one should always perform a residual analysis.

In regression analysis, a residual is the discrepancy between an observed value and a predicted value.

It is determined by,

Residual = Observed value – Predicted value

The residual is the discrepancy between the expected value and the actual value.

Observed value minus predicted value equals residual.

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