Please help! This question has to do with "Similar Figures".

Answer:

  9/4

Step-by-step explanation:

You want to know the value required to complete the square in the equation 1 = x² -3x.

Your picture shows the required value: (-3/2)² = 9/4.

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The shapes that can be used to model the new upright vacuum cleaner are primarily cylindrical for the body and conical or spherical for the dust container and The new upright vacuum cleaner can hold approximately 2.19 cubic feet of dirt in its cylindrical body


To answer these questions, we need to follow these steps:

step 1. Identify the shapes: In this case, the company has decided to use a cylindrical model for the body of the vacuum cleaner. The dirt container can be either conical or spherical.

step 2. Calculate the volume of the cylindrical body: The company wants the vacuum to be 2.5 feet tall with a circumference of 14 inches. First, we need to convert the circumference to feet: 14 inches = 14/12  = 1.167 feet.

Next, we need to find the radius (r) of the cylinder using the circumference formula: C = 2πr.

Solving for r:

we get r = C/(2π) = 1.167/(2π) ≈ 0.186 feet.

step 3. Calculate the volume of the cylinder using the formula:

V = πr²h

   = π(0.186)²(2.5)

  ≈ 2.92 cubic feet.

step 4. Determine the dirt holding capacity: The company states that only 75% of the cylindrical body can hold dirt. Therefore, we need to multiply the total volume by 0.75: 2.92 x 0.75 ≈ 2.19 cubic feet.

So, the new upright vacuum cleaner can hold about 2.19 cubic feet of dirt in its cylindrical body.

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Answer:

I'm sorry I don't know wish I could help you out

Answer:

a rational number is an expression in which the numerator and denominator are polynomials. this is useful to know because often polynomials can be factorized. besides, if there is a variable in the denominator, there will be one or more restrictions.

example: (4x²-25)(2x+5) is simplified to 2x-5 with restrictions x≠-5/2

Answer:

16

Step-by-step explanation:

x + 3= 9

x = 6

2x + 4= 2*6 + 4

2x + 4 = 12 + 4

2x + 4 =16

Charlies 16

hope it helps

Answer: he is 16

Step-by-step explanation:

Let x = Frank's age

2x+4+ = Charlie's age

x+3+ = Bob's age

9 = Bob's age

x+3=9

x=6

2x+4=2⋅6+4

2x+4=12+4

2x+4=16

Charlie is 16

Yes, there are experts here in data forecasting methods who can help you with the topics you've mentioned including time series (holts, holts winter), naive method, regression, acf, pacf, arima, stl method and multivariate time series.

Below are brief explanations of each of these terms:

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Step-by-step explanation:

Nuclear: 6-20 cents per kWh

Coal: 5-17 cents per kWh

Gas: 5-15 cents per kWh

Wind: 2-9 cents per kWh

Hydro: 5-20 cents per kWh

Solar: 10-20 cents per kWh

Answer:

less than tell me if i'm wrong

Answer:

A: \(f(x)\leq -2\)

Step-by-step explanation:

After graphing the equation, the highest point is (-1,-2). Since f(x) is the 2nd number in the coordinates (x, f(x)), the range is \(f(x)\leq -2\)

Answer:

true they are similar

Answer:

True

Step-by-step explanation:

It represents the average amount of change in the function per unit throughout that time period.

Divide the change in y-values by the change in x-values to calculate the average rate of change. When analyzing changes in measurable parameters like average speed or average velocity, finding the average rate of change is quite helpful.

The formula R = D/T, or rate of change equals the distance traveled divided by the time required to do so, can be used to approach rate-of-change problems in general.

It represents the average amount of change in the function per unit throughout that time period. It is generated from the slope of the straight line joining the interval's ends on the graph of the function.

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The expression for the cubic function f is -5x^3 + 20x^2 - 25x.

To find an expression for a cubic function f(x) given specific values, we can start by using the general form of a cubic function: f(x) = ax^3 + bx^2 + cx + d.

We are given three points on the graph of the function: (5, 300), (-5, 0), and (0, 0), as well as (6, 0) which gives us a fourth point.

Substituting the x and y values into the equation, we get the following system of equations:

For point (5, 300):

300 = a(5^3) + b(5^2) + c(5) + d

For point (-5, 0):

0 = a(-5^3) + b(-5^2) + c(-5) + d

For point (0, 0):

0 = a(0^3) + b(0^2) + c(0) + d

For point (6, 0):

0 = a(6^3) + b(6^2) + c(6) + d

Simplifying these equations, we obtain a system of linear equations in terms of a, b, c, and d. Solving this system will give us the coefficients for the cubic function.

After solving the system, we obtain the expression for the cubic function:

f(x) = -5x^3 + 20x^2 - 25x

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Answer:

the y intercept is -3

Step-by-step explanation:

if you need an explanation lmk!

Answer:

y- intercept = - 3

Step-by-step explanation:

The y- intercept is where the line crosses the y- axis.

This occurs when the x- coordinate is zero

From the table

when x = 0 , then y = - 3 ← y- intercept

Based on the provided information of speed, A) Beth gets to San Francisco first. B) The first to arrive has to wait for 20 minutes for the second to arrive.

A) To find out who gets to San Francisco first, we need to calculate the time it takes for each of them to travel the distance of 400 miles.

For Brian, we use the formula time = distance / speed:

time = 400 miles / 50 mph = 8 hours

So Brian will arrive in San Francisco at 4:00 p.m. (8:00 a.m. + 8 hours).

For Beth, we use the same formula:

time = 400 miles / 60 mph = 6.67 hours

So Beth will arrive in San Francisco at 3:40 p.m. (9:00 a.m. + 6.67 hours).

Therefore, Beth gets to San Francisco first.

B) To find out how long the first to arrive has to wait for the second, we subtract the arrival time of the first from the arrival time of the second:

wait time = 4:00 p.m. - 3:40 p.m. = 0.33 hours = 20 minutes

So the first to arrive has to wait for 20 minutes for the second to arrive.

Note: The question is incomplete. The complete question probably is: Brian leaves Los Angeles at 8:00 a.m. to drive to San Francisco, 400 miles away. He travels at a steady speed of 50 mph. Beth leaves Los Angeles at 9:00 a.m. and drives at a steady speed of 60 mph. A) Who gets to San Francisco first? B) How long does the first to arrive have to wait for the second?

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The OLSE for β₁ in the simple regression model is B₁ = (n∑[x₁y₁] - B∑[x₁]) / ∑[x₁²]. It is unbiased, meaning its expected value is equal to the true coefficient β₁.

To find the ordinary least squares estimator (OLSE) for the regression coefficients in the simple regression model, we need to minimize the sum of squared residuals. The OLSE for the coefficient β₁ is obtained by differentiating the sum of squared residuals with respect to β₁ and setting it equal to zero. Let's go through the steps:

Step 1: Model Assumptions

MLR.1: Linearity: The relationship between the response variable (y₁) and the predictor variable (x₁) is linear.

MLR.2: Independence: The observations are independent of each other.

MLR.3: Homoscedasticity: The variance of the errors (ε) is constant for all values of x₁.

MLR.4: No perfect multicollinearity: There is no perfect linear relationship between the predictor variable (x₁) and other predictor variables.

Step 2: Define the sum of squared residuals (SSR)

SSR = ∑[y₁ - (Bo + B₁x₁)]²

Step 3: Minimize SSR

To find the OLSE for β₁, we differentiate SSR with respect to β₁ and set it equal to zero:

∂SSR/∂B₁ = -2∑[y₁ - (Bo + B₁x₁)]x₁ = 0

Step 4: Solve for B₁

Expanding the equation: -2∑[y₁x₁ - Box₁ - B₁x₁²] = 0

Rearranging and dividing by -2: ∑[y₁x₁] - ∑[Box₁] - ∑[B₁x₁²] = 0

Since it is a simple regression model, we have: n∑[x₁y₁] - B∑[x₁] - B₁∑[x₁²] = 0

Simplifying the notation: n∑[x₁y₁] - B∑[x₁] - B₁∑[x₁²] = 0

Step 5: Solve for B₁

Rearranging the equation, we get: B₁∑[x₁²] = n∑[x₁y₁] - B∑[x₁]

Dividing both sides by ∑[x₁²], we obtain: B₁ = (n∑[x₁y₁] - B∑[x₁]) / ∑[x₁²]

Step 6: Show that the OLSE B₁ is unbiased

To demonstrate that B₁ is unbiased, we need to show that its expected value is equal to the true coefficient β₁.

E(B₁) = E((n∑[x₁y₁] - B∑[x₁]) / ∑[x₁²])

Since expectation is a linear operator, we can split it up:

E(B₁) = (nE(∑[x₁y₁]) - BE(∑[x₁])) / E(∑[x₁²])

Now, by the law of iterated expectations:

E(B₁) = (n∑[xE(y₁|x)]) - B∑[xE(x₁)]) / ∑[xE(x₁²)]

Since E(y₁|x) = Bo + B₁x₁, and E(x₁) = x₁, we have:

E(B₁) = (n∑[x(Bo + B₁x₁)] - B∑[x(x₁)]) / ∑[x(x₁²)]

Expanding the sums:

E(B₁) = (nBo∑[x] + nB₁∑[x₁²] - B∑[x(x₁)]) / ∑[x(x₁²)]

Since Bo, B₁, and x₁ are constants, they can be taken out of the sums:

E(B₁) = Bo(n∑[x]) + B₁(n∑[x₁²]) - B(∑[x(x₁)]) / ∑[x(x₁²)]

The terms Bo(n∑[x]) and B₁(n∑[x₁²]) can be written as:

Bo(n∑[x]) = nBo(∑[x]) = n∑[x]Bo

B₁(n∑[x₁²]) = nB₁(∑[x₁²]) = n∑[x₁²]B₁

Substituting back into the equation:

E(B₁) = n∑[x]Bo + n∑[x₁²]B₁ - B(∑[x(x₁)]) / ∑[x(x₁²)]

Now, recall that the true model is given by: y₁ = Bo + B₁x₁ + ε₁

Taking expectations: E(y₁) = E(Bo + B₁x₁ + ε₁)

Since E(ε₁) = 0: E(y₁) = Bo + B₁x₁

Comparing this with the definition of E(B₁), we see that:

E(B₁) = B₁

Therefore, the OLSE B₁ is unbiased, as its expected value is equal to the true coefficient β₁.

Note: In the above derivation, I assumed that the error term ε₁ follows the properties of MLR.1 through MLR.4, namely, it has a mean of zero, constant variance, and is normally distributed. These assumptions are necessary for the unbiasedness property of the OLSE.

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Answer:

El gerente debe vender el sillón a $ 1740.

Step-by-step explanation:

(This exercise is presented in Spanish and for that reason explanation will be held in Spanish)

Sean \(C_{o}\) = $ 1200 y \(r\) = 45 %.

La tienda aplica un incremento de precios para obtener una utilidad por la venta del mueble. Este factor se calcula a partir de la siguiente fórmula:

\(C = C_{o}\cdot \left(1+\frac{r}{100} \right)\)

Donde:

\(C_{o}\) - Coste de compra del sillón, en unidades monetarias.

\(C\) - Coste de venta del sillón, en unidades monetarias.

\(r\) - Porcentaje de incremento del coste del sillón, adimensional.

El precio de venta del sillón es:

\(C = \$ 1200\cdot \left(1+\frac{45}{100} \right)\)

\(C = \$ 1740\)

El gerente debe vender el sillón a $ 1740.

In MATLAB, you can convert a string to an integer using the str2double() or str2num() function. Both functions convert a string to a double-precision floating-point number, but str2num() also supports the conversion of strings to other numeric data types.

Here's an example of how to convert a string to an integer using str2double():

str = '123';  % string to convert to integer

num = str2double(str);  % convert the string to a double-precision number

int = int32(num);  % convert the double-precision number to a 32-bit integer

In this example, the str variable contains the string '123', which we want to convert to an integer. We first use the str2double() function to convert the string to a double-precision number, which we then convert to a 32-bit integer using the int32() function.

Alternatively, you can use the str2num() function to convert the string directly to an integer:

str = '123';  % string to convert to integer

int = int32(str2num(str));  % convert the string to a 32-bit integer

In this example, we use the str2num() function to convert the string directly to a 32-bit integer, and then assign the result to the int variable.

It is important to note that if the string cannot be converted to a number, both functions will return NaN (Not a Number). Additionally, if the string represents a number that is too large to be represented by an integer, the result will be rounded or truncated.

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Answer:

He started with 1.25

Step-by-step explanation:

Joe started with 1.25 if he spends 3 quarters of that which is equal to .75 hell have .50 left

1.25-.75=.50

Answer:

5^3 and (-4)^2

Step-by-step explanation:

A^b means a is the base and b is the exponent

The probability that at least one dog will be adopted out of nine visits is approximately 0.8658.

To calculate the probability that at least one dog will be adopted out of nine visits, we can use the complementary probability approach.

The complementary probability of an event A is equal to 1 minus the probability of the event not happening (denoted as A'). In this case, event A is the adoption of at least one dog.

The probability that no dogs are adopted in a single visit is:

1 - 0.20 = 0.80.

Therefore, the probability of no dogs being adopted in all nine visits is:

(0.80)⁹ since the visits are assumed to be independent.

Using the complementary probability approach, the probability of at least one dog being adopted is:

P(at least one dog) = 1 - P(no dogs)

P(at least one dog) = 1 - (0.80)⁹

Calculating this expression, we get:

P(at least one dog) ≈ 0.8658

Therefore, the probability that at least one dog will be adopted out of nine visits is approximately 0.8658.

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Answer:

Step-by-step explanation:

focus of the parabola is (2,0) and directrix is x=-2. Here,a=2.So, Equation becomes, y2=4∗2x⇒y2=8x, which is the required equation of parabola.

The equation of a parabola with the given focus and directrix is x²-10x+74=14y.

A parabola refers to an equation of a curve, such that a point on the curve is equidistant from a fixed point, and a fixed line

Given that, a parabola has focus (5,7) and directrix y=0.

When the focus (h, k) of a parabola and the equation of the directrix y = c are given, the equation of the parabola is given by (x-h)²+k²-c²=2(k-c)y

Here, y=c=0

Now, (x-5)²+7²-0²=2(7-0)y

x²-10x+25+49=14y

x²-10x+74=14y

Therefore, the equation of a parabola is x²-10x+74=14y.

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Answer:

y = 6x - 61        bold numbers are what you put in the boxes

Step-by-step explanation:

Use any 2 (x,y) pairs to find the slope:

slope = m = Δy/Δx = (-25 - (-31)) / (6-5) = 6

Pick any (x,y) pair and use the point-slope form to find the y-intercept, b:

y - (-13) = 6(x - 8)

y + 13 = 6x - 48

y = 6x - 48 - 13

y = 6x - 61   now you have the slope-intercept form

Answer:

57 inches

Step-by-step explanation:

the area with the triangle is 72

the area of the triangle was 15

Answer:

y-1=-3(x+2)

Step-by-step explanation:

Question: In a sale, the price of a book is reduced by 25%. The price of the book in the sale is £12. Work out the original price of the book

Answer: £16

Step-by-step explanation:

To determine the original price of the book, we can use the fact that the sale price is 75% (100% - 25%) of the original price. Let's denote the original price as x.

75% of x = £12

To solve for x, we can set up the equation:

0.75x = £12

To isolate x, we divide both sides of the equation by 0.75:

x = £12 / 0.75

x = £16

Therefore, the original price of the book was £16.

The expression V − E + F is an illustration of the Euler's formula.

The expression V − E + F is always 2

The equation is given as:

V - E + F = 2

Where:

According to the Euler's formula, the relationship between V, E and F is:

V + F = 2 + E

Subtract E from both sides

V - E + F = 2

Hence, the expression V − E + F is always 2

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The answer to this question is c.The use of a correlation coefficient.

The use of a correlation coefficient would tell you that an association claim is being made in a research study. A correlation coefficient is a statistical measure that shows the strength and direction of a relationship between two variables. It ranges from -1 to 1, with 0 indicating no relationship and -1 or 1 indicating a perfect negative or positive relationship, respectively.

A scatterplot or bar graph may be used to visually display the relationship between two variables, but they do not necessarily indicate that an association claim is being made. The measurement of two variables is necessary for any type of research study, but it does not inherently imply that an association claim is being made.

Interrogation of internal validity is a process used to ensure that the study's results accurately reflect the relationship between the variables being studied. It is important for any research study but does not specifically indicate that an association claim is being made.

Therefore,the answer to this question is c.The use of a correlation coefficient.

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Answer:

There are 33 nuts in the bag, to 21 dried fruits.

Total number of dried fruits is 21, while the total number of nuts is 33.

Step-by-step explanation:

Answer:

5.023 I believe

Step-by-step explanation:

The ideological matrix provides a framework that aids in the expression of political beliefs by offering a comprehensive and structured system to analyze and articulate one's ideas and values.

The ideological matrix serves as a conceptual tool that organizes political ideologies along a spectrum, allowing individuals to position themselves within this framework. It encompasses a range of political beliefs, including liberalism, conservatism, socialism, libertarianism, and many others. By familiarizing themselves with these ideologies and their core tenets, individuals can evaluate their own perspectives and beliefs more effectively.

The ideological matrix also provides a shared language and vocabulary for discussing political ideas. It facilitates more nuanced and precise communication by offering a set of concepts and principles that are widely recognized and understood within political discourse. This framework allows individuals to express their political beliefs with clarity, coherence, and consistency, enhancing their ability to engage in meaningful discussions and debates with others.

Furthermore, the ideological matrix helps individuals understand the historical and theoretical underpinnings of different ideologies, providing a broader context for their political beliefs. It allows for a deeper exploration of the values and principles that shape political ideologies, helping individuals refine and articulate their own beliefs in a more comprehensive and informed manner. This enhanced understanding and clarity enable individuals to express their political beliefs more effectively, both within their immediate social circles and in public forums, fostering a more robust and informed political discourse.

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