Entre Pedro y su hermana Ana han ahorrado $ 810. Pedro ha ahorrado $150 más que Ana. ¿Cuánto dinero ha ahorrado cada uno? NECESITO LA RESPUESTA CON SISTEMA DE ECUACIÓN 2 X 2, POR FAVOR.

The statement "the horizontal, continuous lintel on a classical building supported by columns is called a stylobate" is False.

The horizontal, continuous lintel on a classical building supported by columns is called an entablature, while the stylobate is the platform on which the columns stand.

In classical architecture, the entablature is the horizontal, continuous lintel that rests on top of the columns and consists of three parts: the architrave (the bottom layer), the frieze (the middle layer), and the cornice (the top layer). The entablature helps to unify the columns and create a sense of continuity across the facade of the building.

The stylobate, on the other hand, is the platform or base upon which the columns stand, and is usually elevated above ground level. Together, the stylobate and entablature form the colonnade, a defining feature of classical architecture.

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Step-by-step explanation:

The correct answer is the photo

this is my answer, if you dont understand, dont be afraid to ask, hope this helps!

A) the three inequalities that must be satisfied are:

B) Graph shaded and satisfying all conditions is attached.

An inequality in mathematics is a relationship that makes a non-equal comparison between two integers or other mathematical expressions.

It is most commonly used to compare the sizes of two numbers on a number line.

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From the logarithmic differentiation, function \(f(x) = \frac{( 1 + 2x)^{\frac{1}{x}}}{ sin(x)}\),

a) \( ln (f(x)) = \frac{1}{x} ln( 1 + 2x) - ln(sin(x))\\ \)

b) \( \frac{f'(x)}{f(x)} = \frac{2}{x( 1 + 2x)} - \frac{1}{x²} ln( 1 + 2x) - cot(x) \\ \)

c ) The derivative of function, f(x) is

\(f'(x) = \frac{( 1 + 2x)^{\frac{1}{x}}}{ sin(x)}( \frac{2}{x( 1 + 2x)} - \frac{1}{x²} ln( 1 + 2x) - cot(x)) \\ \)

A logarithmic differentiation calculator is one of online tool used to calculate the derivative of a function using logarithm.

We have a function, \(f(x) = \frac{( 1 + 2x)^{\frac{1}{x}}}{ sin(x)}\).

We have to use logarithmic differentiation to determine the derivative and other values of the function.

a) Taking natural logarithm both sides in f(x), \(ln (f(x)) = ln( \frac{( 1 + 2x)^{\frac{1}{2}}}{ sin(x)})\)

Now, using the logarithm property,

\(ln(\frac{m}{n}) = ln(m) - ln(n) \)

\(ln (f(x)) = ln( 1 + 2x)^{\frac{1}{x}} - ln(sin(x)) \\ \). Also use power property, ln(p)² = 2ln(p),

\( ln (f(x)) = \frac{1}{x} ln( 1 + 2x) - ln(sin(x)) - - (1) \\ \)

b) Now, we determine the ratio of f'(x)/f(x)

Take a derivative of equation (1), we have

\(\frac{f'(x)}{f (x) } = \frac{2}{x( 1 + 2x)} - \frac{1}{x²} ln( 1 + 2x) - \frac{cos(x)}{sin(x)}\\ \)

\(= \frac{2}{x( 1 + 2x)} - \frac{1}{x²} ln( 1 + 2x) - cot(x) \\ \)

c) Now, we determine the derivative of f(x), Substitute original value of f(x) in previous equation,\( \frac{f'(x)}{ \frac{( 1 + 2x)^{\frac{1}{x}}}{ sin(x)}} = \frac{2}{x( 1 + 2x)} - \frac{1}{x²} ln( 1 + 2x) - cot(x) \\ \)

f'(x) \( = \frac{( 1 + 2x)^{\frac{1}{x}}}{ sin(x)}( \frac{2}{x( 1 + 2x)} - \frac{1}{x²} ln( 1 + 2x) - cot(x)) \\ \). Hence, required value is \( \frac{( 1 + 2x)^{\frac{1}{x}}}{ sin(x)}[ \frac{2}{x( 1 + 2x)} - \frac{1}{x²} ln( 1 + 2x) - cot(x)] \\ \).

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Answer:

This is an english server.

Step-by-step explanation:

Respuesta :

siete porque 40/6 darian 6 y como sobran 4 le reparterian 1 a cada 1 por eso darian a a siete

Espero que te sirba

Answer:

d

Step-by-step explanation:

Answer:

Step-by-step explanation:

dv/dt + z = x3 + dx4/dt/(1 + u - w - x3) - w*dx2/dt/(1 + u - w - x3)^2

dv/dt + z = x3 + dx4/dt/(1

Answer:

x = 15

Step-by-step explanation:

AB + BC = AB

3x+5  + 2x+8 = 88

Combine like terms

5x +13 = 88

Subtract 13 from each side

5x+13-13 = 88-13

5x = 75

Divide each side by 5

5x/5 = 75/5

x = 15

Answer:

15

Step-by-step explanation:

AB + BC = AB

3x + 5 + 2x + 8 = 88

5x + 13 = 88

5x = 88 - 13

= 75/5

= 15

Hope this helps!

The rule to translate triangle ABC to triangle A'B'C' is (x + 5, y - 5).

To find the rule that translates triangle ABC to triangle A'B'C', we need to determine the translation vector (a, b) that moves each vertex of triangle ABC to its corresponding vertex in triangle A'B'C'.

Let's calculate the translation vector by subtracting the coordinates of a vertex in triangle ABC from its corresponding vertex in triangle A'B'C'.

Translation vector for vertex A:

(a, b) = (4 - (-1), -3 - 2) = (5, -5)

Translation vector for vertex B:

(a, b) = (10 - 5, -8 - (-3)) = (5, -5)

Translation vector for vertex C:

(a, b) = (2 - (-3), -5 - 0) = (5, -5)

Since the translation vector is the same for all vertices, we can conclude that the rule to translate triangle ABC to triangle A'B'C' is (x + 5, y - 5).

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To determine the explicit rule for the nth term of the given geometric sequence 5, 20, 80, 320, 1,280, ..., use the formula:`an = a1 * r^(n - 1)`, where an represents the nth term of the sequence.`a1`represents the first term of the sequence.`r` represents the common ratio between terms of the sequence.

The given sequence is 5, 20, 80, 320, 1,280, ...Let's now apply the formula to find the explicit rule for the nth term of the given sequence.`an = a1 * r^(n - 1)`Where a1 = 5 (first term of the sequence)`r` can be found by dividing any term by the preceding term, as `r = (second term) / (first term)`In this case,`r = (20) / (5) = 4`

Substituting the values in the formula:`an = a1 * r^(n - 1)``an = 5 * 4^(n - 1)` Therefore, the explicit rule for the nth term of the given geometric sequence is `an = 5 * 4^(n - 1)`.You can use this formula to find the value of any term in the sequence, given its position (n) in the sequence.For example, to find the 150th term of the sequence, substitute n = 150 in the formula: `a150 = 5 * 4^(150 - 1)`. This simplifies to `a150 = 1.442 x 10^90`.

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Answer:

its b

Step-by-step explanation:

i litteraly just did that

Answer:

D

Step-by-step explanation:

Since it is an equal sign you want to know when the will have the same amount of money. Also, the person who has $90 must save $9 a week as well because both those numbers are on the same side of the equation and vice versa.

The mean squared error (mse), of the following data come from regression line projections: forecast values actual values 410 406 419 423 428 423 439 440 is 14.5. So option c is the correct answer.

To compute the mean squared error (MSE) for the given forecast and actual values, we follow these steps:

1.

Calculate the difference between each forecast value and its corresponding actual value.

   (410 - 406) = 4

   (419 - 423) = -4

   (428 - 423) = 5

   (439 - 440) = -1

2.

Square each difference.

   (4)² = 16

   (-4)² = 16

   (5)² = 25

   (-1)² = 1

3.

Find the average of the squared differences by summing them up and dividing by the total number of values.

   (16 + 16 + 25 + 1) / 4 = 58 / 4 = 14.5

Therefore, the mean squared error (MSE) is 14.5.

Hence, the correct answer is option c. 14.5.

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Answer:

Step-by-step explanation:

The rising time of a star depends on its right ascension and the latitude of the observer.

In this case, since both stars have the same declination, their altitude above the horizon at any given time will be the same. Therefore, the star with the smaller right ascension will rise first.

Since star A has a right ascension of 5h and star B has a right ascension of 2h, star B will rise first. This is because the Earth rotates from west to east, causing the stars to appear to move from east to west in the sky. As a result, stars with smaller right ascensions will appear to rise earlier in the east than those with larger right ascensions.

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1) The x-intercept lies at (1, 14), and the y-intercept lies at (3, 42).

2) This means that after 3 cuts, the length of the string is 33 inches.

3) Therefore, the 42-inch string can be cut into 14 pieces of 3 inches each.

The x-intercept is the point on the graph where a line crosses the x-axis.

The y-intercept is the point on the graph where a line crosses the y-axis.

The x- and y-intercepts are the coordinate points for graphing data.

Thus, the x- and y-intercepts are coordinate points where the graph of a function or an equation touches the two axes.

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This method is not appropriate because of the mathematical sign separating the terms. It is supposed to be minus not a plus sign

The expression by factoring out the greatest common factor is 4(x^2-9)

Given the expression 4x^2 + 36. According to the difference of two square,

a^2 - b^2 = (a-b)(a+b)

For the expression 4x^2 + 36, this can also be written as:

= (2x)^2 + 6^2

= (2x+6)(2x-6)

This method is not appropriate because of the mathematical sign separating the terms. It is supposed to be minus not a plus sign

Using the factoring method:

4x^2 = 4 * x^2

36 = 4 * 9

Since 4 is common to both of the terms, hence;

4x^2 + 36 = 4(x^2+9)

Hence the expression by factoring out the greatest common factor is 4(x^2-9)

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An arc only exists on the outside, or the circumference of a circle. To find the length of this arc, we need to find the part of the circumference which this arc covers. The part is given in the problem: 45 out of 360 degrees.

Circumference = 2 x radius x pi

Circumference = 2 x 18 x pi

Circumference = 36pi

Now, we only need 45/360 or 1/8 of the total circumference.

1/8 of 36pi = 9pi/2 or 4.5 pi

Answer: 9pi / 2 or 4 1/2 pi or 4.5pi cm

Hope this helps!

The measure of the angle if the measure of its two adjacent supplementary angles add up to 100 degrees is 80 degrees.

Let the measure of the angle be x.

We are given that the measure of its other two supplementary angles is 100°

We know that:

The sum of the supplementary angles is equal to 180°.

So, we get that:

100° + x = 180°

Subtract 100° from both the sides:

x = 180° - 100°

Simplify the expression:

x = 80°

Therefore, we get that, the measure of the angle if the measure of its two adjacent supplementary angles add up to 100 degrees is 80 degrees.

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By Using the table to work out the values of a , b , c , and d. X y = 2 x + 1 − 3 a − 2 − 3 − 1 b 0 1 1 c 2 d a = b = c = d =

Therefore, The solutions are : a = -3, b = 0, c = 6, d = 9

Equation:

In mathematics, an equation is an expression that indicates equality of two expressions by connecting them with the equal sign = . The word "equation" and related words in other languages ​​can have slightly different meanings. For example, in French an equation is defined as containing one or more variables, whereas in English a well-formed formula consisting of two expressions connected by an equal sign is an equation.

Given:

This table;

x             y = 3x+3

-3                -6

-2                 a

-1                  b

0                 3

1                  c

2                 d

To Find:

Values of a, b, c and d

Consider the 2nd row,

x = -2, y = a

Putting the values in the equation,

we get,

   a = 3(-2) + 3

⇒ a = -3

Consider the 3rd row,

x = -1, y = b

Putting the values in the equation,

we get,

   b = 3(-1) + 3

⇒ b = 0

Consider the 5th row,

x = 1, y = c

Putting the values in the equation,

   c = 3(1) + 3

⇒ c = 6

Consider the 6th row,

x = 2, y = d

   d = 3(2) + 3

⇒ d = 9

The final answer is,

a = -3, b = 0, c = 6, d = 9.

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The simplified expression of cos^2x sin^4x is cos^2x - 2cos^4x + cos^6x.

The expression cos^2x sin^4x can be simplified by using the trigonometric identity that states sin^2x + cos^2x = 1.

We can rewrite cos^2x sin^4x as cos^2x (sin^2x)^2. Then, using the trigonometric identity sin^2x + cos^2x = 1, we can substitute (1 - cos^2x) for sin^2x.

This gives us cos^2x (1 - cos^2x)^2, which can be expanded using the binomial theorem to give cos^2x (1 - 2cos^2x + cos^4x).

Finally, we can simplify this expression further by distributing the cos^2x term and collecting like terms to get cos^2x - 2cos^4x + cos^6x.

Therefore, the simplified expression of cos^2x sin^4x is cos^2x - 2cos^4x + cos^6x.

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Answer:

x = 5 - y/3

Step-by-step explanation:

Answer:

-4-4i

That's the answer for the question

The men's department stocks more white socks. The ratio of black socks to white socks in the women's department is 3:4, while in the men's department it is 1:3.

Since the number of black socks is the same in both departments, the department with the smaller ratio of black to white socks will have more white socks. In the women's department, for every 3 black socks, there are 4 white socks, resulting in a total of 7 socks. In the men's department, for every 1 black sock, there are 3 white socks, making a total of 4 socks. Since the number of black socks is the same in both departments, the women's department has a higher total number of socks (7) compared to the men's department (4). Therefore, the men's department stocks more white socks.

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Answer:

D) 40

Step-by-step explanation:

5 pizzas and as saying above 1/8 that means the pizza is being cut into 8 slices and their is 5 pizzas so the answer will be provided by multipling 8 by 5

Answer:

There are 8 slices in =1 box

8*5

=40 slices in all 5 boxes

The set S is a unit square in the uv-plane, bounded by the lines u = 0, u = 1, v = 0, and v = 1. The transformation given by x = v, y = u(1 - v^2) maps points in the uv-plane to points in the xy-plane.

To find the image of S under this transformation, we apply the transformation to each of the vertices of S:

Therefore, the image of the unit square S under the transformation x = v, y = u(1 - v^2) is the line segment connecting (0,0) and (1,0) in the xy-plane.

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Answer:

1/2187 is the 10th answer in the sequence

Step-by-step explanation:

just keep dividing the number by 3

1/9, 1/27, 1/81, 1/243, 1/729, 1/2187

As you consider the various factors involved in starting a group, the most important factor you have to judge is the group's purpose or goal.

Step 1: Identify the group's purpose or goal - This is crucial because it will guide all other decisions, including membership criteria, communication methods, and meeting schedules.

Step 2: Assess the needs and resources of potential members - This will help you understand their motivations and ensure the group can support their needs while accomplishing its goal.

Step 3: Establish clear membership criteria and expectations - This will ensure that everyone in the group is on the same page and committed to the same goals.

Step 4: Choose an appropriate communication method - This will facilitate smooth and efficient communication among group members.

Step 5: Develop a meeting schedule that works for all members - Regular meetings help keep the group on track and provide opportunities for collaboration and feedback.

By focusing on the group's purpose or goal, you can create a solid foundation for a successful and productive group.

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If a and b are real numbers with a < b, and a function y(t) satisfies certain conditions, such as being continuously differentiable and having a non-constant initial norm ||Y0||, then the vectors N(t) and y"(t) are not parallel for all t in the interval (a, b).

Let's consider a function y(t) that satisfies the given conditions. The vector N(t) represents the unit normal vector to the curve defined by y(t), while y"(t) denotes the second derivative of y(t).

If N(t) and y"(t) were parallel for all t in the interval (a, b), it would imply that the curvature of the curve defined by y(t) is constant. However, if ||Y0|| is not constant, it indicates that the magnitude of the tangent vector to the curve is changing as t varies.

The non-constancy of ||Y0|| implies that the curve is not a straight line. Therefore, the curvature of the curve varies along the interval (a, b). Consequently, N(t) and y"(t) cannot be parallel for all t in the interval (a, b).

In conclusion, if a function y(t) satisfies the given conditions, including a non-constant initial norm ||Y0||, the vectors N(t) and y"(t) cannot be parallel for all t in the interval (a, b), indicating that the curvature of the curve varies.

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Answer: w= 13

Step-by-step explanation: 8+5 is 13