Un terreno de forma rectangular tiene un perímetro de 105 metros. Si el ancho es la mitad del largo, ¿Cuáles son las medidas del terreno? *

Answer:

(0, -4)

Step-by-step explanation:

We can just substitute the y's like this: 2x - 4 = -2x - 4

Move like terms to one side by adding 2x to both sides

2x - 4 = -2x - 4

+ 2x      + 2x

4x - 4 = - 4

Add 4 to both sides

4x - 4 = - 4

    + 4   + 4

4x = 0

Divide both sides by 4

4x/4 = 0/4

x = 0

Plug in the new x into one of the original equations

y = 2(0) - 4

y = 0 - 4

y = - 4

Given how many coins are provided in the bag determines the chances for example of its a single nickel and a single quarter it'd be q50/n50 though if there's two nickels and one quarter there would be a n75/q25 chance.

The future value of Tran Lee's savings after five years would be approximately $14,995.49.

To calculate the future value of Tran Lee's savings, we can use the formula for the future value of an ordinary annuity:

Future Value = Payment * [(1 + Interest Rate)^Number of Periods - 1] / Interest Rate

Given:

Payment (PMT) = $2,900 per year

Interest Rate (r) = 5% = 0.05 (decimal form)

Number of Periods (n) = 5 years

Substitute  these values into the formula, we get:

Future Value = $2,900 * [(1 + 0.05)^5 - 1] / 0.05

Calculating this expression, we find:

Future Value ≈ $14,995.49

Therefore, the future value of Tran Lee's savings after five years would be approximately $14,995.49.

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The future value of Tran Lee's savings after five years would be approximately $14,995.49.

To calculate the future value of Tran Lee's savings, we can use the formula for the future value of an ordinary annuity:

Future Value = Payment * [(1 + Interest Rate)^Number of Periods - 1] / Interest Rate

Given:

Payment (PMT) = $2,900 per year

Interest Rate (r) = 5% = 0.05 (decimal form)

Number of Periods (n) = 5 years

Substitute  these values into the formula, we get:

Future Value = $2,900 * [(1 + 0.05)^5 - 1] / 0.05

Calculating this expression, we find:

Future Value ≈ $14,995.49

Therefore, the future value of Tran Lee's savings after five years would be approximately $14,995.49.

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To find the proportion of bearings that falls in the acceptable range of 1.72 to 1.88 cm, we need to calculate the area under the normal distribution curve between these two values.

Given:

Mean (μ) = 1.8 cm

Standard deviation (σ) = 0.04 cm

Range: 1.72 cm to 1.88 cm

To calculate the proportion, we need to find the z-scores corresponding to the lower and upper limits of the acceptable range. The z-score formula is:

z = (x - μ) / σ

For the lower limit (1.72 cm):

z1 = (1.72 - 1.8) / 0.04 = -2

For the upper limit (1.88 cm):

z2 = (1.88 - 1.8) / 0.04 = 2

Using a standard normal distribution table or a statistical software, we can find the area under the curve between these z-scores. The area between -2 and 2 represents the proportion of bearings falling within the acceptable range.

Looking up the z-scores in the standard normal distribution table, we find that the area between -2 and 2 is approximately 0.9545.

Therefore, approximately 0.9545 (or 95.45%) of all bearings fall within the acceptable range of 1.72 to 1.88 cm.

Approximately 95.45% of all bearings produced by the manufacturer fall within the acceptable range of 1.72 to 1.88 cm, based on the given mean and standard deviation. This indicates that the majority of the bearings meet the specified diameter criteria.

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A symbol that could be written in both circles in order to represent this system algebraically include the following: C. <.

In Mathematics, there are several rules that are generally used for writing and interpreting an inequality or system of inequalities that are plotted on a graph and these include the following:

In this context, we can logically deduce that the most appropriate inequality symbol to represent the solution to the system of inequalities is the less than (<) because the dashed boundary lines are shaded below.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

The area is:

Explanation:

A rug is 1/2 yard by 2 5/6 yards.

We want to find the area in square yard.

The area is given as:

Answer:

28 students

Step-by-step explanation:

7 times 4 = 28

there are are seven students in 4 teams, so that means there are 4 groups of seven, and you multiply them together to get how many students in the class

Answer:

28

Keyword(s):

divided, four, 7, per team, how many

Step-by-step explanation:

7 × 4 = 28

The maximum value of\((a_1 + 2a_2 + ... + na_n)^2\) under the given constraint is 1.

Here, we have to find the maximum value of the expression \((a_1 + 2a_2 + ... + na_n)^2\)under the given constraint ∑\((a_i^2)\) = 1, we can use the method of Lagrange multipliers.

Let's define the function F(a_1, a_2, ..., a_n, λ) as follows:

\(F(a_1, a_2, ..., a_n, \lambda ) = (a_1 + 2a_2 + ... + na_n)^2 + \lambda(1 - a_1^2 - 2a_2^2 - ... - na_n^2)\)

We need to find critical points of F by taking partial derivatives and setting them equal to zero:

\(\delta F/\delta a_i = 2i(a_1 + 2a_2 + ... + na_n) - 2\lambda ia_i = 0\) for i = 1, 2, ..., n

Also, we have the constraint: ∑\((a_i^2)\)= 1

Now, let's solve these equations:

From the partial derivatives, we get:

\(a_1 + 2a_2 + ... + na_n = \lambda a_1/i\) for i = 1, 2, ..., n

Summing these equations from i = 1 to n:

\(a_1 + 2a_2 + ... + na_n = \lambda (a_1 + a_1/2 + a_1/3 + ... + a_1/n)\)

Since ∑\((a_i^2)\) = 1, we have:

\(a_1^2 + a_2^2 + ... + a_n^2 = 1\)

Rearranging:

\(a_1^2 = 1 - a_2^2 - ... - a_n^2\)

Substituting into the equation above:

\(a_1 + a_1/2 + a_1/3 + ... + a_1/n = \lambda\)

Now, let's compute the sum of the reciprocals:

\(a_1(1 + 1/2 + 1/3 + ... + 1/n) = \lambda\)

\(a_1\) * (Harmonic number of order n) = λ

Now, let's find the value of \(a_1\):

\(a_1\) = λ / (Harmonic number of order n)

Since we know that \(a_1 + 2a_2 + ... + na_n = \lambda (a_1 + a_1/2 + a_1/3 + ... + a_1/n)\), we can find the value of λ:

\(a_1 + 2a_2 + ... + na_n\) = λ * (λ / (Harmonic number of order n) + λ / (2 * Harmonic number of order n) + λ / (3 * Harmonic number of order n) + ... + λ / (n * Harmonic number of order n))

\(a_1 + 2a_2 + ... + na_n = \lambda ^2 * (1 + 1/2 + 1/3 + ... + 1/n)\)

\(a_1 + 2a_2 + ... + na_n = \lambda ^2\) * (Harmonic number of order n)

From the constraint, we know that λ² * (Harmonic number of order n)² = 1.

Therefore, λ² = 1 / (Harmonic number of order n)²

Now, we can find the maximum value of \((a_1 + 2a_2 + ... + na_n)^2\):

\((a_1 + 2a_2 + ... + na_n)^2\) = (λ² * (Harmonic number of order n))²

\((a_1 + 2a_2 + ... + na_n)^2\) = (1 / (Harmonic number of order n)² * (Harmonic number of order n))²

\((a_1 + 2a_2 + ... + na_n)^2 = 1\)

Thus, the maximum value of\((a_1 + 2a_2 + ... + na_n)^2\) under the given constraint is 1.

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Answer: 84 square inches.

Step-by-step explanation:

Side A of shaded: 5+3+3 = 11

Side B of shaded: 3+3+3= 9

11x9= 99

99-(3x5{normal rectangle area})= 84

Answer and Step-by-step explanation:

Samantha's recipe has:

3 parts cranapple juice

2 parts lemonade

In total, this recipe has:

t = 3 + 2

t = 5

ratio = \(\frac{2}{5}\)

Caden's recipe has

4 parts cranapple juice

3 parts lemonade

In total:

t = 4 + 3

t = 7

ratio = \(\frac{3}{7}\)

The punch with stronger lemon taste will be the one whose recipe have a bigger proportion of lemon.

For Samantha's recipe, the proportion is 2 ÷ 5 = 0.4

For Caden's, 3 ÷ 7 = 0.43

Caden's punch will have a slightly stronger taste of lemon, because its proportion is slightly higher than Samantha's.

Answer:  b

Step-by-step explanation:

I think

"f o g" denotes the composition of f with g,

(f o g)(x) = f(g(x))

Given f(x) = x² + 2 and g(x) = 4x, we have

(f o g)(x) = f(4x) = (4x)² + 2

⇒   (f o g)(x) = 16x² + 2

Then (f o g)(0) = 2.

Answer:

19.6349540849

Step-by-step explanation:

π × 2.5^2 = 19.6349540849

Answer:

x = 6

Step-by-step explanation:

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

→ Add 7 to both sides

\(\frac{x}{3} =2\)

→ Multiply both sides by 3

x = 6

Let $C$ be the event that the camera gets a 10% discount, $G$ be the event that the game gets a 25% discount, and $N$ be the event that neither item gets a discount. Then the probability of each event is:

\begin{align*}

P(C) &= 0.35\cdot 0.1 = 0.035 \\

P(G) &= 0.05\cdot 0.25 = 0.0125 \\

P(N) &= 0.6\cdot 1 = 0.6

\end{align*}

The amount saved on the camera is $0.1\cdot 200=20$, and the amount saved on the game is $0.25\cdot 80=20$. So, we want to find the probability that either event $C$ or $G$ occurs. Since the events are mutually exclusive, we can use the addition rule:

$$

P(C\text{ or }G) = P(C) + P(G) = 0.035 + 0.0125 = 0.0475

$$

The amount saved in dollars at the cash register is $X = 20 + 20 = 40$. To find the probability that the total amount saved is $20$, we need to sum the probabilities of all the ways to get $X=20$. There are two ways to do this: either the camera gets a 10% discount while the game gets no discount, or the game gets a 25% discount while the camera gets no discount. Using the multiplication rule and the probabilities above, we have:

\begin{align*}

P(\text{camera gets 10% discount, game gets no discount}) &= P(C)\cdot P(N) = 0.035\cdot 0.6 = 0.021 \\

P(\text{game gets 25% discount, camera gets no discount}) &= P(G)\cdot P(N) = 0.0125\cdot 0.6 = 0.0075

\end{align*}

Therefore, the probability that the total amount saved is $20$ is:

$$

P(X=20) = P(\text{camera gets 10% discount, game gets no discount}) + P(\text{game gets 25% discount, camera gets no discount}) = 0.021 + 0.0075 = 0.0285

$$

So the chance you save a total of $20$ is $\boxed{0.0285}$.

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The correct graph is the first one.

Graph is a data structure composed of nodes connected by edges, which represent a relationship between the two notes of are used to represent networks of communication that organized and even extract concept like thought or riders the nodes in the graph are often represent by Circle and it's by line but the other safe of the symbol are also use copper power Bluetooth for a organizing and understanding data and can be used to solve complex problem.

It represents the equation y = 20 + 10x, which means that the gymnast pays a flat fee of $20 for each month plus an additional $10 for each class he attends. Therefore, the graph will show a line going from the point 0, 20 through the point 1, 30.

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The surfaces described by the given vector equations are:

1.The surface is a hyperbolic paraboloid.

2.The surface is a part of a cylinder with radius 3 and axis parallel to the y-axis.

3.The surface is a plane parallel to the xy-plane and shifted upwards by 1 unit.

4.The surface is a twisted cylinder along the y-axis.

A vector equation of a surface in three-dimensional space is a function that maps a pair of parameters, say u and v, to a three-dimensional point in space (x, y, z) represented as a vector. The vector equation can be written in the form of r(u, v) = <x(u, v), y(u, v), z(u, v)>.

In general, there are different ways to represent the same surface using vector equations. For example, the surface of a sphere of radius r centered at the origin can be represented by the vector equation r(u, v) = <r sin(u) cos(v), r sin(u) sin(v), r cos(u)>, where u is the polar angle (measured from the positive z-axis) and v is the azimuthal angle (measured from the positive x-axis).

Vector equations can be useful in studying the geometry and properties of surfaces, such as determining their tangent planes, normal vectors, curvature, and surface area. They can also be used to parametrize surfaces for numerical calculations and simulations.

The surfaces described by the given vector equations are:

1.The surface is a hyperbolic paraboloid.

2.The surface is a part of a cylinder with radius 3 and axis parallel to the y-axis.

3.The surface is a plane parallel to the xy-plane and shifted upwards by 1 unit.

4.The surface is a twisted cylinder along the y-axis.

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When you are performing multiple transformations it is called a composite transformation.

A number of transformations or sequence of transformations that can be combined into a single transformation is called as composition. The resulting matrix is known as composite matrix. The process of combining is known as concatenation.

A composite transformation (or a composition of transformations) refers to the two or more transformations performed one after the other. For example: a translation followed by a reflection which is again followed by a rotation. Another example can be: a rotation followed by a translation or a rotation followed by a reflection.

Therefore, when you are performing multiple transformations it is called a composite transformation.

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Between Method A with a MAD(Mean Absolute Deviation) of 1.4 and Method B with a MAD (Mean Absolute Deviation) of 1.8, Method A performed better as it has a smaller MAD value.

To decide which estimating strategy performed the leading, we got to compare their Mean Absolute Deviation (Mad) values. Mad may be a degree of the average outright contrast between the genuine values and the forecasted values.

A little Mad esteem shows distant better; a much better; a higher; stronger; an improved" an improved forecasting accuracy, because it implies the forecasted values are closer to the real values.

Hence, between Strategy A with a Mad of 1.4 and Strategy B with a Mad of 1.8, Strategy A performed way better because it incorporates littler Mad esteem.

Be that as it may, it's vital to note that Mad alone does not allow a total picture of the determining execution. Other measurements, such as Mean Squared Blunder (MSE) or Mean Supreme Rate Blunder (MAPE) ought to too be considered to assess the exactness of the estimating strategies.

Furthermore, the setting and reason for the determining ought to too be taken under consideration when choosing the fitting estimating strategy. 

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Answer:x = 4

Step-by-step explanation:

Answer:

It's quite easy

Step-by-step explanation:

people less than 30 years = frequency of people 0 to 15 + 15 to 30 = 8+15 =23

Therefore there are 23 people less than 30 years old.

pls mark me as brainliest pls.

Answer:

-7y+8x

Step-by-step explanation:

-7y+8x

The presents of 1/4 and 1/2 rounded to the nearest tenth are 25.0% and 50.0%.

The percentage means the required value out of 100.

It is calculated by dividing the required value by the total value and multiplying by 100.

The percentage change is also calculated using the same method.

In percentage change we find the difference between the values given.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

We have,

To find the percentage of 1/4 and 1/2, we need to divide each fraction by 1 and then multiply by 100.

So,

1/4

= 1/4 x 100

= 0.25 x 100

= 25%

And,

1/2 x 100

= 0.5 x 100

= 50%

Now,

Rounding 25% and 50% to the nearest tenth.

25% rounded to the nearest tenth.

= 25.0%

50% rounded to the nearest tenth.

= 50.0%

Thus,

The presents of 1/4 and 1/2 rounded to the nearest tenth are 25.0% and 50.0%.

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Answer:

2x10^5 is greater

Step-by-step explanation:

Answer:

The value of  \(2*10^5\) is larger.

Step-by-step explanation:

\(2*10^5=200000\)

\(7*10^2=700\)

\(2*10^5>7*10^2\)

I hope this helps! (✿◕‿◕✿)

The lengths of the semimajor and semi-minor axes of an ellipse (or an ellipsoid in higher dimensions) are related to the singular values of the transformation matrix.

Hence, we can write the relationship between a, b, and det(A) as:

a^2 = λ1 = det(A) λ2^(-d+2)/2
b^2 = λ2 = det(A) λ1^(-1) λ3^(-d+2)/2^(d-2)

or equivalently,

a^2 b^2 = det(A)^2 / 2^(d-2).

The lengths of the semimajor and semi-minor axes of an ellipse (or an ellipsoid in higher dimensions) are related to the singular values of the transformation matrix. Specifically, if T is an invertible linear transformation with matrix A, then the lengths of the semi-axes of T(Ω) are given by the square roots of the eigenvalues of the matrix A^T A. Let λ1, λ2, λ3 be the eigenvalues of A^T A (or A^T A^T in 2D), arranged in decreasing order. Then the lengths of the semi-axes of T(Ω) are given by:

a = √(λ1)
b = √(λ2)  (in 2D) or b = √(λ3) (in 3D)

Moreover, the determinant of A is equal to the product of the singular values of A, which are the square roots of the eigenvalues of A^T A. Therefore, we have:

det(A) = λ1 λ2 λ3^(d-2)/2

where d is the dimension of the space (2 or 3 in the case of an ellipse in 2D or an ellipsoid in 3D, respectively).

Hence, we can write the relationship between a, b, and det(A) as:

a^2 = λ1 = det(A) λ2^(-d+2)/2
b^2 = λ2 = det(A) λ1^(-1) λ3^(-d+2)/2^(d-2)

or equivalently,

a^2 b^2 = det(A)^2 / 2^(d-2)

This relationship shows that the product of the semi-axes of T(Ω) is related to the determinant of A, but the individual semi-axes depend also on the singular values of A, which are related to the eigenvalues of A^T A.

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The probability of filling a cup between 2121 and 3030 ounces is approximately 0.8181, or 81.81%

The soft drink machine has a mean output of 2727 ounces per cup.

The machine's output is normally distributed with a standard deviation of 33 ounces.

We want to find the probability of the cup's volume falling between 2121 and 3030 ounces.

To solve this, we need to standardize the values using the z-score formula

z = (x - μ) / σ

where:

x is the desired value (2121 and 3030 ounces),

μ is the mean (2727 ounces),

σ is the standard deviation (33 ounces).

For the lower bound (2121 ounces):

z(lower) = (2121 - 2727) / 33

For the upper bound (3030 ounces):

z(upper) = (3030 - 2727) / 33

Now, we can look up the corresponding probabilities using a standard normal distribution table or a calculator.

Using a standard normal distribution table, we can find the probabilities associated with the z-scores.

P(2121 < x < 3030) = P(z(lower) < z < z(upper))

Calculating the z-scores:

z(lower) = (2121 - 2727) / 33

z(lower) ≈ -1.8387

z(upper) = (3030 - 2727) / 33

≈ 0.9192

Using the standard normal distribution table, we can find the corresponding probabilities associated with these z-scores.

P(-1.8387 < z < 0.9192) ≈ 0.8181

Therefore, the probability of filling a cup between 2121 and 3030 ounces is approximately 0.8181, or 81.81% .

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The standard deviation is $42.96.

The formula for calculating a z-score is is z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation. As the formula shows, the z-score is simply the raw score minus the population mean, divided by the population standard deviation. There are three ways to find the z-score that corresponds to a given area under a normal distribution curve 1. Use the z-table. 2. Use the Percentile to Z-Score Calculator.

Given : 75% of all families spend more than $75 weekly for food,

Mean = μ = $104

We have to find standard deviation σ.

75% of all families spend more than $75 weekly for food

For 100 - 75 = 25%, z = -0.675

Now, z = (x - μ) / σ

∴ σ =  (x - μ) / z

σ = (75 - 104)/-0.675

= -29/-0.675

= 42.96

Thus, the standard deviation is $42.96.

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Answer:

185

Step-by-step explanation:

Answer:

185

Factor:

5×37

The value of c that satisfies the conclusion of the Mean Value Theorem is c = 0. So, the answer is none of these choices (E).

To apply the Mean Value Theorem, we need to check two conditions:

f(x) is continuous on [0, 1].

f(x) is differentiable on (0, 1).

Since f(x) = x^2 + 2x - 1 is a polynomial, it is continuous and differentiable everywhere. Therefore, we can apply the Mean Value Theorem to find a value of c in (0, 1) such that:

f'(c) = (f(1) - f(0))/(1 - 0)

First, let's find f'(x):

f'(x) = 2x + 2

Now, we can solve for c:

f'(c) = 2c + 2

f(1) - f(0) = (1^2 + 2(1) - 1) - (0^2 + 2(0) - 1) = 2

2c + 2 = 2

2c = 0

c = 0

Therefore, the value of c that satisfies the conclusion of the Mean Value Theorem is c = 0. So, the answer is none of these choices (E).

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