cuanto es? (x-1) aunque la operación completa es 1-(x-1)=2 (1-x)-6​

The 3 d.o.f. torsional finite element has three nodes, with each node having one degree of freedom (d.o.f.) for rotational displacement. To derive the element stiffness matrix (K) and load vector (F) for this element, we consider the equilibrium of torques, assuming GJ is constant and a distributed torque per unit length is present.

For the element stiffness matrix, we apply the torsional spring analogy and use Hooke's Law for torsional deformation: T = GJθ'/L, where T is the torque, GJ is the torsional stiffness, θ' is the angular displacement, and L is the length of the element. The stiffness matrix K is then formed as a 3x3 matrix, relating the torques at each node to their respective angular displacements.
To derive the load vector, we consider the distributed torque per unit length and integrate it over the length of the element. This results in a 3x1 vector, representing the external torque applied at each node.
Combining the stiffness matrix and the load vector, we can solve for the angular displacements of each node and analyze the torsional behavior of the element.

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A system of linear inequalities represented by the graph are;

y > x - 2

y < 5x + 1

The general form of the equation of a line in slope intercept form is;

y = mx + c

where;

m is slope

c is y-intercept

The broken(dashed line) has the y-intercept as -2.

The slope is;

m = (0 - (-2))/(2 - 0)

m = 1

However, it is shaded above the line which means the equation is;

y > x - 2

The second line which is a solid line has the y-intercept as 1.

The slope is calculated as;

m = (-4 - 1)/(-1 - 0)

m = 5

The shaded part is below the line which denotes;

y < 5x + 1

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Answer:

Step-by-step explanation:

Alex bought a new skate board at 20% discount. He paid $72. What percent of the original price did he pay?

Step 1

We find the original price

= Percent Discount × Original price =

= 20% × Original price = $72

= 0.2 × x = $72

x = $72/0.2

x = 360

The last step to be carried out in a bid to construct an angle using a protractor is; Connect the endpoint and the mark at the angle measure.

In a bid to construct an angle by means of a protractor, it follows that a sequence of steps must be carried out. These steps are as ordered below;

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Answer: For the last step you have to connect the endpoint and the mark

Step-by-step explanation:

Answer:

It snows in January

Step-by-step explanation:

Answer: The hypothesis is that if it is a certain month, it will probably snow. January being the factor that won't be changed because it is the specific month. But the hypothesis is that because it's January, it must snow.

Step-by-step explanation:

\(x {}^{ - 4} \\ = \frac{1}{x {}^{4} } \\ \)

a^-n = 1/a^n

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Answer:(-0,3)

Step-by-step explanation:

Answer:

Yes, it is. Functions can only have one output (y) for each input (x). Furthermore, this means each x value will only have one y passing through it. Thus if we plot it on a graph and it passes through a horizontal line more than once, it is not a function. This is called the vertical line test.

The original number of friends planning the party was 25.

Let's assume the total number of friends originally planning the party is 'x'.

Initially, each friend would contribute an equal amount to raise $200. So the initial contribution per friend would be $200/x.

When five friends decided not to attend, the number of friends remaining is (x - 5). Now, each friend has to contribute $2.00 more than before.

So, the new contribution per friend is $200/(x - 5) + $2.

According to the given information, the new contribution is $2.00 more than the initial contribution:

$200/(x - 5) + $2 = $200/x

To solve this equation, we can eliminate the dollar signs and simplify:

200/(x - 5) + 2 = 200/x

Multiplying both sides of the equation by x(x - 5) to eliminate the denominators:

200x + 2x(x - 5) = 200(x - 5)

200x + 2x^2 - 10x = 200x - 1000

Rearranging the equation and simplifying:

2x^2 - 10x - 1000 = 0

Dividing the equation by 2:

x^2 - 5x - 500 = 0

Using the quadratic formula, we can find the values of x:

x = (-b ± √(b^2 - 4ac)) / (2a)

For our equation, a = 1, b = -5, and c = -500.

x = (-(-5) ± √((-5)^2 - 4(1)(-500))) / (2(1))

x = (5 ± √(25 + 2000)) / 2

x = (5 ± √2025) / 2

x = (5 ± 45) / 2

Simplifying further:

x1 = (5 + 45) / 2 = 50 / 2 = 25

x2 = (5 - 45) / 2 = -40 / 2 = -20

Since the number of friends cannot be negative, we discard x2 = -20 as an extraneous solution.

Therefore, the original number of friends planning the party was 25.

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1. The function that models the area of the poster in terms of its width is A(w) = w(w + 17).

2. The function that models the radius of a circle in terms of its area is r = √(A/π).

3. The function that models the area of an isosceles triangle in terms of the length of its base is A(b) = (b/4) * √(16b² - b⁴).

1. For the poster's area A in terms of its width w, the function is:

A(w) = w(w + 17)

To find the area of the poster, we need to multiply its length and width. Given that the poster is 17 inches longer than it is wide, we can express the width as w and the length as (w + 17). Therefore, the area of the poster can be represented by the function A(w) = w(w + 17).

2. For the radius r of a circle in terms of its area A, the function is:

r = √(A/π)

The formula to calculate the area of a circle is A = πr², where A represents the area and r represents the radius. By rearranging the formula, we can solve for the radius:

r = √(A/π)

This equation gives us the function to find the radius of a circle based on its area.

3. For the area A of an isosceles triangle in terms of the length of its base b, the function is:

A(b) = (b/4) * √(16b² - b⁴)

In an isosceles triangle, two sides have the same length, and the remaining side is the base. The formula to calculate the area of an isosceles triangle is A = (b/4) * √(4a² - b²), where A represents the area and b represents the base. Since the perimeter is given as 18 cm, each of the equal sides will have a length of (18 - b)/2. Substituting this value into the area formula, we obtain the function A(b) = (b/4) * √(16b² - b⁴) for the area of an isosceles triangle in terms of the base length.

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The median of the set of six numbers is 84.5.

The middle number or central value within a set of data is known as the median. The number that falls in the middle of the range is also the median.

To find the median of a set of numbers, we need to arrange the numbers in ascending order and determine the middle value.

The given set of numbers is {87, 85, 80, 83, 84, x}, and we know that the mean of the set is 83.5.

Let's arrange the numbers in ascending order: 80, 83, 84, 85, 87, x.

Since the mean of the set is 83.5, we can calculate the sum of the numbers and subtract the sum of the known values to find the value of x.

Sum of the known numbers = 80 + 83 + 84 + 85 + 87 = 419.

Mean * Number of values = 83.5 * 6 = 501.

Sum of all numbers - Sum of known numbers = x.

501 - 419 = x.

82 = x.

Now that we have the complete set of numbers: {80, 83, 84, 85, 87, 82}, we can determine the median.

The median is the middle value of the set when arranged in ascending order.

In this case, the median is the average of the two middle values, which are 84 and 85.

Median = (84 + 85) / 2 = 169 / 2 = 84.5.

Therefore, the median of the set of six numbers is 84.5.

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Answer:

Domain: {5, 9, 6, 3, 8}

Step-by-step explanation:

The set of first components (x-coordinates) in the ordered pairs is the domain of the relation. The domain is the set of values that serve as inputs into functions.

In the given relation, the domain is the set of x-coordinates of each ordered pair. The range is the set of y-coordinates.

Therefore, the domain of the relation is: {5, 9, 6, 3, 8}.

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Answer:

Holding your breath is called static Apnea and a common person can't hold their breath for long. If a person holds their breath for long and dies because of it, it may be called lack of breath or lack of respiration.

Answer:

-29.7

Step-by-step explanation:

Assuming sea level is at 0, you would first subtract 25.65 from 0 to indicate diving 25.65 feet BELOW 0. Then, you subtract 16.5 from that. Then, add 12.45 to that number to get the answer after the diver rose 12.45 feet.

0-25.65= -25.65

-25.65-16.5= -42.15

-42.15+ 12.45= -29.7

OR 29.7 feet below sea level.

There are approximately 11.25 cups of granulated sugar in a 5 pound bag.

To determine the number of cups of granulated sugar in a 5 pound bag, we can use the conversion factor of 2.25 cups per pound.

First, we multiply the number of pounds (5) by the conversion factor:

5 pounds * 2.25 cups/pound = 11.25 cups

Therefore, there are approximately 11.25 cups of granulated sugar in a 5 pound bag.

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I think that for a its 1.12 and for b its 39424

100 + 12 = 112
112/100 = 1.12

35200 * 1.12 = 39424

Answer:

Worker B needs 9 days to finish the rest of the work

Step-by-step explanation:

Proportions

Worker A finishes a project on his own in 12 days and worker B does the same in 16 days.

Worker A does 1/12 of the project in one day and worker B does 1/16 of the project in one day. When working together, they do

\(\frac{1}{12}+\frac{1}{16}=\frac{7}{48}\)

After 3 days they have completed:

\(3*\frac{7}{48}=\frac{7}{16}\)

parts of the project, this means it still remains:

\(1-\frac{7}{16}=\frac{9}{16}\)

parts of the project and it is done by B alone. Since B does \(\frac{1}{16}\) per day, he now takes

\(\displaystyle \frac{\frac{9}{16}}{\frac{1}{16}}=9\)

days to complete the project.

Worker B needs 9 days to finish the rest of the work

The undefined term used to define an angle is a ray. An angle is defined as the union of two rays with the same endpoint. The common endpoint of the two rays is called the vertex of the angle, and the two rays are called the sides or arms of the angle.

One of the rays is called the initial side, and the other ray is called the terminal side.

A ray is a part of a line that starts at a point and extends infinitely in one direction. A line, on the other hand, is an undefined term in geometry that represents a straight, infinitely long object that extends infinitely in both directions. A plane is another undefined term in geometry that represents a flat surface that extends infinitely in all directions. A point is also an undefined term in geometry that represents a location in space that has no dimension.

Thus, the definition of an angle requires the use of a ray, an undefined term in geometry that represents a part of a line with one endpoint and extends infinitely in one direction.

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The given function f(x) = x² + 4x³ + 6x² - 36x - 4 is concave up on the interval (−13/12, ∞), concave down on the interval (−∞, −13/12), and has an inflection point at (-13/12, f(-13/12)).

To determine the intervals on which the given function is concave up or concave down, we need to find the second derivative of the function.
f(x) = x² + 4x³ + 6x² - 36x - 4
f'(x) = 2x + 12x² + 12x - 36
f''(x) = 2 + 24x + 12
f''(x) = 26 + 24x
Now, to find the intervals of concavity, we need to find where the second derivative is positive or negative.
f''(x) > 0 when x > -13/12
f''(x) < 0 when x < -13/12
So, the function is concave up on the interval (−13/12, ∞) and concave down on the interval (−∞, −13/12).
To find the inflection point(s), we need to find where the concavity changes.
f''(x) = 0 when x = -13/12
Therefore, the point (-13/12, f(-13/12)) is an inflection point.
To summarize, the given function f(x) = x² + 4x³ + 6x² - 36x - 4 is concave up on the interval (−13/12, ∞), concave down on the interval (−∞, −13/12), and has an inflection point at (-13/12, f(-13/12)).

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Answer:

600

Step-by-step explanation:

Note that 600 is exactly half way between 400 and 800, and conclude therefore that 600 is the midpoint.

Answer:

1

Step-by-step explanation:

The denominator is the bottom number, and represents how many parts are possible—in other words, how many parts go into a whole. The numerator is the top number, and represents how many parts you have.

\(\frac{Numerator}{Denominator}\)

Answer:

The numerator is 1.

Step-by-step explanation:

The numerator is the number above the fraction bar; the denominator is below.

\(\frac{denominator}{numerator} -\frac{1}{2}\)

Answer: a. The sales price $568.40

b.the price for the club members is $511.56

Step-by-step explanation: I have no idea I got it wrong on porpoise to get the correct answer for u

The number of outcomes in the complement of the given event is 98.

It can be calculated by subtracting the number of outcomes in the event from the total number of possible outcomes. In this case:

Total number of outcomes = 271 apartments

Number of outcomes in the event = 173 subleased apartments

Number of outcomes in the complement = Total number of outcomes - Number of outcomes in the event

Number of outcomes in the complement = 271 - 173 = 98

Therefore, there are 98 outcomes in the complement of the event. These would represent the apartments that are not subleased in the complex.

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2.1 The volume in ml of one can of cold drink is 83 ml.

2.2 The height of the cooler bag is 18 cm.

2.3 The volume in ml of the cooler bag if the breadth of the bag is 12 cm and the length 18 cm is 3,888 ml.

2.4 The circumference of the can is 18.84 cm.

In Mathematics and Geometry, the volume of a cylinder can be calculated by using this formula:

Volume of a cylinder, V = πr²h

Where:

By substituting the given side lengths into the volume of a cylinder formula, we have the following;

Volume of can = 3.14 × (6/2)² × 8.84

Volume of can = 83.27 cm³.

Note: 1 cm³ = 1 ml

Volume of can in ml = 83.27 ≈ 83 ml.

Part 2.2.

For the height of the cooler bag, we have:

Height of cooler bag = 2 × height of can

Height of cooler bag = 2 × 8.84

Height of cooler bag = 17.68 ≈ 18 cm.

Part 2.3

Volume of cooler bag = length × breadth × height

Volume of cooler bag = 18 × 12 × 18

Volume of cooler bag = 3,888 ml.

Part 2.4

The circumference of the can is given by:

Circumference of circle = 2πr

Circumference of can = 2 × 3.14 × 3

Circumference of can = 18.84 cm.

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Missing information:

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

Answer:

Step-by-step explanation:

18 -> 1,2,3,6,9,18

12 -> 1,2,3,4,6,12

heighest common factor is 6.

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the solutions to the quadratic equation 3x² - 12x + 7 = 0 are approximately x = 2 + (1/3)√(15) and x = 2 - (1/3)√(15).

what is approximately ?

"Approximately" is used to indicate that a value or quantity is not exact but is close enough to be used or considered as a reasonable estimate. It means that the value given may be slightly higher or lower than the actual value, but it is close enough to be useful for practical purposes.

In the given question,

The correct setup for the quadratic formula for the equation 3x² - 12x + 7 = 0 is:

x = (-b ± √(b² - 4ac)) / (2a)

Where a = 3, b = -12, and c = 7. Substituting these values into the formula, we get:

x = (-(-12) ± √((-12)² - 4(3)(7))) / (2(3))

Simplifying:

x = (12 ± √(144 - 84)) / 6

x = (12 ± √(60)) / 6

x = (12 ± 2√(15)) / 6

x = 2 ± (1/3)√(15)

Therefore, the solutions to the equation 3x² - 12x + 7 = 0 are approximately x = 2 + (1/3)√(15) and x = 2 - (1/3)√(15).

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Answer:

You would put 11y-22+7y-6+3x+12+5x and that will give you the answer. Hope this helps!

Answer:

14.04

Step-by-step explanation:

\(19^{2}\) - \(17^{2}\) = 72

\(\sqrt{72}\) = 8.48

8.48 + 8.48 = 16.96

31 - 16.96 = 14.04

The procedure for revising probabilities based on additional information is referred to as Bayesian updating

The procedure for revising probabilities based on additional information is referred to as Bayesian updating. Bayesian updating is a fundamental concept in Bayesian statistics, which allows for the incorporation of new evidence or data to update and refine prior beliefs or probabilities.

In Bayesian updating, the process begins with an initial prior probability, which represents the initial belief or knowledge about an event or hypothesis before any evidence is observed. As new evidence or data becomes available, it is used to update the prior probability and generate a posterior probability. The posterior probability represents the revised belief or probability after incorporating the new information.

Bayesian updating follows the principles of Bayes' theorem, which mathematically describes the relationship between prior probabilities, likelihoods, and posterior probabilities. It involves combining the prior probability with the likelihood of observing the data given the hypothesis and then normalizing the result to obtain the posterior probability.

The beauty of Bayesian updating is that it allows for a flexible and iterative process of continuously updating beliefs and probabilities as new information emerges. It provides a framework for incorporating both subjective prior beliefs and objective data to make more informed decisions and predictions. Bayesian updating has applications in various fields, including machine learning, decision-making, and scientific research.

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Answer: 6/8 , 9/12 , 12/16 , 15/20, ect...

Step-by-step explanation:

Example:3*2   = 6

               4*2      8

You can check if it is equivalent by dividing the numerator and denominator by 2

Example:6 divided by 2= 3

               4  divided by 2   4

You can replace 2 with 3,4,5,6 ect...

3/4 multiplied by 3 =9/12, 3/4 multiplied by 4 is 12/16, 3/4 multiplied by 5 is 15/20.

Hope this helps, let me know if you want more examples.

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\(\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\)

Find an equivalent fraction for the fraction below. 3/4

\(\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}\)

If fractions are equivalent, they are equal to each other.

An example of a fraction equal to 3/4 is:-

\(\bold{\displaystyle\frac{6}{8}} \dashleftarrow\sf{The\:numerator\:and\:denominator\:are\:multiplied\:by\:2}\)

This is just one example; in fact, there are infinitely many fractions equivalent to 3/4; you can multiply the numerator & denominator by 2:

6/8 = 12/16 =24/32...

You can also multiply by 3:-

9/12 =12/36...

You can multiply by 4, 5, 6, 7, 8....

Overall, you can multiply by any number you wish. As long as you multiply the numerator and denominator by the same number, you will get a fraction that's equivalent to the original fraction.

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