Los brazos de un compás miden y forman un angulo de 40. Calcule el radio de la circunferencia que se puede trazar

listening to the audio and comparing the descriptions of the houses will help determine which house is the biggest. Analyze details related to size, square footage, number of floors, rooms, or yard size. After careful consideration, provide a clear answer indicating which house is the biggest.

The question asks which house is the biggest based on the audio provided. To answer this question, we need to listen to the audio and analyze the information provided.

First, listen to the audio and pay attention to any details mentioned about the houses. Look for information related to their size or any comparisons made.

Next, compare the descriptions of the houses to determine which one is the biggest. Listen for clues such as mentions of square footage, number of floors, or any explicit statements about size.

Consider any additional information that may be relevant.

For example, if one house is described as having more rooms or a larger yard, this could indicate that it is also the biggest.

After carefully analyzing the information in the audio, determine which house is the biggest and provide a clear answer. You may need to listen to the audio multiple times or take notes to ensure accuracy.

Remember to provide a well-structured response, including an introduction, step-by-step explanation, and a conclusion. Use simple language and avoid irrelevant details.

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Answer:

Erin

Step-by-step explanation:

I believe Erin is right in this case.

After solving the equation the value of x is -12. So the option b is correct.

The first step to solving an equation is to identify the unknown variable(s). Once the unknown variable(s) is identified, the next step is to isolate the variable(s) on one side of the equation. After isolating the variable(s), you can then use inverse operations to solve the equation. Finally, check your answer to make sure it makes sense in the context of the equation.

The equation is −10x + 1 + 7x = 37.

To solve that equation we first simplify the equation.

After simplifying the equation we isolate the variable of x.

−10x + 1 + 7x = 37

-3x + 1 = 37

Subtract 1 on both side, we get

-3x = 36

Divide by -3 on both side, we get

x = -12

So the option b is correct.

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The complete question is:

Solve the equation.

−10x + 1 + 7x = 37

a. x = -15

b. x = -12

c. x = 12

d. x = 15

The given expression is

We just have to evaluate each answer choice to see which one satisfies the given equations.

For (3,-11)

This result is false, since those numbers are not equivalent.

For (3,11)

In this case, the point (3,11) satisfies the equation because we got a true result.

The least number of years for the investment to triple is approximately 10 years.

To find the equivalent annual discount rate for a compound interest rate of i = 5%, we can use the formula:

Discount rate = (1 + i)^-1 - 1

Substituting the given interest rate, we have:

Discount rate = (1 + 0.05)^-1 - 1

Discount rate = 0.952381 - 1

Discount rate = -0.047619

The equivalent annual discount rate is approximately -0.047619.

To determine the number of years it takes for an investment to triple at an annual effective interest rate of i = 12%, we can use the compound interest formula:

Future value = Present value * (1 + i)^n

We want to find the least number of years (n) for the future value to be three times the present value. Let's set up the equation:

3 = 1 * (1 + 0.12)^n

Taking the logarithm of both sides, we get:

log(3) = n * log(1.12)

Solving for n, we have:

n = log(3) / log(1.12)

Using a calculator, we find that n ≈ 9.9 years.

Therefore, The least number of years for the investment to triple is approximately 10 years.

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The given surface is \(\cos(xy) = e^z-2\). The unit vector normal to this surface at the point (1, π, 0) is\(\vec{n}=\langle 0, 0, 1\rangle\).

A vector with a magnitude of one is termed a unit vector. To determine a unit normal vector for the given surface, start by describing the surface as a function of form F(x, y, z). Next, calculate this function's gradient and then normalize the outcomes.

Consider the normal vector \(\vec{n}=\langle a, b, c\rangle\)  to the plane ax + by + cz = d. Given \(\cos(xy) = e^z-2\) then, z = ln(2+cos(xy)).

At point (x₀,y₀,z₀), the equation for the tangent plane to z = f(x,y) is written as, \(z-z_0 = f_x(x_0,y_0)(x-x_0) + f_y(x_0,y_0)(y-y_0)\). The value of \(f_x\) and \(f_y\) are

\(f_x = \frac{-y \sin(xy)}{(2+\cos(xy))}\) and \(f_y =\frac{ -x \sin(xy) }{ (2+\cos(xy))}\).

At *x, y) = (1, π), the value of \(f_x\) and \(f_y\) is zero. Then, the equation of the tangent plane is given as z-0=0+0 ⇒ z=0.

Then, the resulting unit normal vector is \(\vec{n}=\langle 0, 0, 1\rangle\).

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The proportion of the variation in the dependent variable y that is explained by the estimated regression equation is measured by the coefficient of determination.

What is coefficient of determination?

The effectiveness of a statistical model in forecasting a result is shown by the coefficient of determination (R²). The dependent variable in the model is a representation of the result.

R² can have a value of 0 or 1, with 1 being the maximum achievable. Simply said, a model's R² will be closer to 1 the more accurate its predictions are.

R² is a more precise measure of goodness of fit. The amount of volatility in the dependent variable that the model can account for.

You can typically tell whether your linear regression data's R² is high or low by graphing it. The graphs below, for instance, display two sets of simulated data:

Dots represent the observations.

The line of best fit, or predictions of the model, is displayed as a black line.

Purple lines represent the deviations (the residuals) between the data and their expected values.

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Randomization is important to ensure that both groups are roughly equivalent regarding students’ preparedness, anxiety levels, and study skills.

Randomization is when subjects in an experiment are placed in either the control group or the treatment group without any structure. They are placed in either groups randomly. The purpose of randomization is to ensure that subjects in either group are homogenous.

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Answer:

\(C) 1210m^2\)

Step-by-step explanation:

Initial Length of the rope (r) = 12 m

Final length of the rope (R) = 23 m

\(Additional\ area\ acquired\ = Final Area- Initial Area\\=\pi R^2- \pi r^2\\=\pi (R^2-r^2)\\=\pi (23^2-12^2)\\=\pi (529-144)\\=\pi (385)\\=385\pi \\\\As\ \pi = \frac{22}{7} \\\\Hence,\\385\pi \\=385 * \frac{22}{7} \\=55*22\\=1210 m^2\)

The probability is 0.6480.

The probability is 0.9629.

1. This can be computed using the standard normal distribution as follows:

z = (70 - 69.0) / 2.8 = 0.357

Using a standard normal table or calculator, we find that P(Z ≤ 0.357) ≈ 0.6480. Therefore, the probability that a male passenger can fit through the doorway without bending is approximately 0.6480.

2. = 2.8/√25 = 0.56 inches.

We want to find P(x < 70), which is the probability that the mean height of the 25 men is less than 70 inches. This can be standardized using the standard normal distribution as follows:

z = (70 - 69.0) / 0.56 = 1.79

Using a standard normal table or calculator, we find that P(Z < 1.79) ≈ 0.9629. Therefore, the probability that the mean height of the 25 men is less than 70 inches is approximately 0.9629.

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Answer:

Chart:

x           y

-6         11

3           5

15         -3

-12        15

Step-by-step explanation:

The only things you can plug in are the domain {-12, -6, 3, 15}

Plug in the domain into equation to find y.

-6 :

y = -2/3 (-6) +7

y = +47

y=11

(-6,11)

3:

y = -2/3 (3) +7

y = -2 +7

y = 5

(3, 5)

15:

y = -2/3 (15) +7

y =  -10 +7

y = -3

(15 , -3)

-12:

y = -2/3 (-12) +7

y = 8 + 7

y= 15

(-12,15)

Answer:

1) 11

2) 3

3) -3

4) -12

Step-by-step explanation:

eq(1):

\(y = \frac{-2}{3} x + 7\\\\y - 7 = \frac{-2}{3} x\\\\x = (y - 7)\frac{-3}{2} \\\\x = (7-y)\frac{3}{2} ---eq(2)\)

1) x = -6

sub in eq(1)

\(y = \frac{-2}{3} (-6) + 7\\\\y = \frac{12}{3} + 7\\\\y = 4+7\\\\y = 11\)

2) y = 5

sub in eq(2)

\(x = (7-5)\frac{3}{2} \\\\x = 3\)

3) x = 15

sub in eq(1)

\(y = \frac{-2}{3} 15 + 7\\\\y = \frac{-30}{3} +7\\\\y = -10 + 7\\\\y = -3\)

4)

sub in eq(2)

\(x = (7-15)\frac{3}{2} \\\\x = -8\frac{3}{2}\\ \\x = -12\)

Answer:Shake hands when you meet someone.Make direct eye contact with the person you are speaking with.Unless the movie theater is crowded, do not sit right next to someone.Do not stand close enough to a stranger to touch arms or hips.Cover your coughs.

Step-by-step explanation:trust me

Answer:The vowels in the left column are called "front vowels." Tongue body is in the front of the mouth. All vowels show a "gap" in frequency between F1 and F2. ... A traditional "vowel diagram" can be obtained by plotting the vowel formants in a graph where the horizontal axis is (F2-F1) and the vertical axis is inverse F1.

Step-by-step explanation:

Answer:

x = 25

y = 6

Step-by-step explanation:

< B = < M

2x - 20 = 30

2x = 50

x = 25

AB = LM

7y - 8 = 2y + 22

5y = 30

y = 6

The lateral surface area for the triangular prism is 150 square cm

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

The net of a triangular prism

The lateral surface area for the triangular prism is calculated as

LA = (a + b + c) * h

In this case,

a = 5

b = 5

c = 5

h = 10

So, we have

LA = (5 + 5 + 5) * 10

Evaluate

LA = 150

Hence, the lateral surface area for the triangular prism is 150 square cm

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Answer:

11-3x

Step-by-step explanation:

1) Multiply 5(1-x). To do this, you multiply 5 by both x and 1. You should get     5-5x.

1) Next, multiply 2(x+3). You should get 2x+6.

3) Finally, add like terms. Add 2x and -5x together and add 6 and 5 together. You should get -3x and 11.

The answer is 11-3x.

Answer:

(-1, -10) and (-2,0) lmk if I made an error

Answer:

Jamie has 44 pairs of shoes

Step-by-step explanation:

Let

Jamie= x pairs of shoes

Suzie= 33 less than twice the amount of shoes Jamie has

2x - 33 = 55

Solve:

2x - 33 = 55

Collect like terms

2x = 55 + 33

2x = 88

Divide both sides by 2

2x / 2 = 88 / 2

x = 44

Jamie = x = 44 pairs of shoes

Therefore, Jamie has 44 pairs of shoes

Answer:

Step-by-step explanation:

To convert 20 cm to meters, we divide by 100, because 1 meter = 100 centimeters.

So, 20 cm = 20/100 m = 0.2 m

To convert 0.2 m to meters in the lowest form, we divide by 15, because 1 meter = 15 units.

So, 0.2 m = 0.2/15 m = 0.013 m

So the final answer is 0.013 m.

Answer:

\(\boxed{\sf \ \ \ x=-4.12 \ or \ x=0.12 \ \ \ }\)

Step-by-step explanation:

Hello,

step 1 - we divide all terms by 2

\(2x^2+8x-1=0 <=> x^2+4x-\dfrac{1}{2}=0\)

step 2 - we complete the square

we can notice that

\(x^2+4x=(x+2)^2-4\)

so

\(2x^2+8x-1=0 <=> x^2+4x-\dfrac{1}{2}=0<=>(x+2)^2-4-\dfrac{1}{2}=0\\\)

step 3 - we move the constant term to the right of the equation

\((x+2)^2-4-\dfrac{1}{2}=0\\\\<=> (x+2)^2=4+\dfrac{1}{2}=\dfrac{8+1}{2}=\dfrac{9}{2}\)

step 4 - we take the square root on both sides of the equation

\(x+2=\sqrt{\dfrac{9}{2}}\)

or

\(x+2=-\sqrt{\dfrac{9}{2}}\)

step 5 - we subtract 2 from both sides

\(x+2=\sqrt{\dfrac{9}{2}}<=> x=\dfrac{3}{\sqrt{2}}-2=0.12132...\)

or

\(x+2=-\sqrt{\dfrac{9}{2}}<=> x=-\dfrac{3}{\sqrt{2}}-2=-4.12132...\)

so the solutions are 0.12 and -4.12

hope this helps

The value of g(5) is 650 dollars.

Here are the steps to find the value of g(5) in detail:

Therefore, the value of g(5) is 650, which represents the total amount of money, in dollars, saved after 5 weeks.

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Answer:

movies cost $2 games cost $3.50

combination of one game one movie cost $5.50

Step-by-step explanation:

The percentage of customers who order an alcoholic drink but do not order an appetizer is 65%.

Given that, Thirty-five percent of customers at a restaurant order an alcoholic drink and an appetizer with dinner. Ten percent of customers do not order an alcoholic drink or an appetizer with dinner. Sixty-five percent of diners order an appetizer with dinner.Thus,We are to calculate the percentage of customers who order an alcoholic drink but do not order an appetizer.Therefore, it can be calculated as follows:
Let A be the event of ordering an alcoholic drink.
Let B be the event of ordering an appetizer.
Then P(A ∩ B) = 35/100, P(A' ∩ B') = 10/100 and P(B) = 65/100.
Now, P(A ∩ B') = P(A) - P(A ∩ B) = 100/100 - 35/100 = 65/100.

Thus, the percentage of customers who order an alcoholic drink but do not order an appetizer is 65%

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Answer:

The answer is 2940ft^2

Step-by-step explanation

First convert length and width to feet using the value given (7ft=1inch).

\(10*7= 70\)

\(6*7= 42\)

Multiply these values for the actual area.

\(42*70= 2940\)

The actual area of the lawn is 2940ft^2

As there are 100 centavos in one Philippine Peso, there are 12,575 centavos in P 125.75.

An arrangement of things in a particular order is known as a permutation in mathematics. A permutation of a group of things is a particular technique to arrange them in a particular sequence, where each object is used exactly once. Consider the trio of letters A, B, and C as an example. This set can be permuted in six different ways: ABC, ACB,BAC, BCA, CAB, and CBA

These combinations each show a different way to arrange the letters in the set.

given

The Philippine Peso, represented by the letter "P," is the official unit of money in the Philippines.

One Philippine Peso is equal to 100 centavos.

We must multiply P 125.75 by 100 to convert it to centavos:

P = 12,575 centavos (125.75 x 100).

As there are 100 centavos in one Philippine Peso, there are 12,575 centavos in P 125.75.

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The equations N1/dt = r1N1[(K1 - N1 - ON2)/K1] and ON2/dt = r2N2[(K2 - N2 - BN1)/K2] describe models for population dynamics. These models are used to understand how populations of organisms change over time, based on factors like birth rates, death rates, and available resources.

In these equations, N1 and N2 represent the population sizes of two interacting species. The variables r1 and r2 are the intrinsic growth rates of these species, or the rates at which they reproduce in the absence of limiting factors. K1 and K2 represent the carrying capacities of the environment for each species, or the maximum population sizes that can be sustained by available resources.
The terms ON2 and BN1 represent the effects of interspecific interactions on population growth. ON2 refers to the negative impact of species 2 on the growth rate of species 1, and BN1 refers to the negative impact of species 1 on the growth rate of species 2. These interactions can take many forms, such as competition for resources or predation.
By manipulating these equations, scientists can make predictions about how populations will change over time, and test these predictions against real-world data. These models are particularly useful for understanding how species interact in complex ecosystems, and how human activities like habitat destruction and climate change are affecting these ecosystems.

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