A number, x, is 4 times another number, y. The difference
between the two numbers is 18. What is the value of the
larger number?

The teacher can use a combination of these methods to help the students understand that a triangle is equivalent to half a square.

In order to help the students understand that the triangle is equivalent to half a square, the teacher can adopt different methods, including the following:

1. Drawing diagrams of the triangle and the square to show the comparison. The teacher can draw diagrams of a triangle and a square on the board and label the different parts.

They can then show the students that a triangle can be created by halving the square diagonally. This way, the students will be able to visualize the comparison and understand it better.

2. Demonstrating the concept practically. The teacher can also demonstrate the concept by using physical objects such as paper or cardboard.

They can show the students how to create a triangle by folding a square diagonally and cutting it along the fold. This way, the students will be able to see the practical application of the concept.

3. Using real-world examples. The teacher can also use real-world examples to help the students understand the concept better.

For example, they can show the students pictures of tents or rooftops that are shaped like triangles and explain how they are related to squares.

4. Conducting group discussions. The teacher can conduct group discussions where the students can share their understanding of the concept and ask questions.

This way, the students will be able to learn from each other and clarify any doubts they may have.

Overall, the teacher can use a combination of these methods to help the students understand that a triangle is equivalent to half a square.

The key is to use different approaches that cater to different learning styles and to encourage the students to participate actively in the learning process.

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Caloy needs to pay 140.00 in order to rent a bicycle for 4 hours.

Caloy rented a bicycle in the park for 4 hours.

He must pay a fixed amount of P20.00 and an additional P30.00 per hour.

The total amount he needs to pay:

Let us calculate,

Total amount = Fixed amount + (Per hour rate x Number of hours)

Fixed amount = P20.00

Per hour rate = P30.00

Number of hours = 4 hours

Total amount = 20 + (30 × 4)

Total amount = 20 + 120

Total amount = P 140.00

Therefore, Caloy needs to pay P 140.00 in order to rent a bicycle for 4 hours.

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Assuming Alice has 2 apples, there are 19 ways to split the rest of the apples with Becky and Chris.

The total number of ways to split 24 apples between the three friends is equal to 19 + 18 + 17 + 16 + 15 + ...……+ 2 + 1 = 20 x ( 19 / 2 ) = 190

Alice can share them with Becky and Chris in a variety of ways, as long as each person has at least 2 apples. For example, Alice could give Becky 8 apples and Chris 16 apples, or she could give Becky 10 apples and Chris 14 apples. As long as each person has at least 2 apples, there are many ways for Alice to share her apples.To split the apples, we employ the Ball-and-urn method, also referred to as "Sticks and Stones" or "Stars and Bars."

Hence there are 19 different ways she can share them with becky and chris so that each of the people has at least 2 apples.

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Answer:

So the slope is -8/3

Step-by-step explanation:

to find the slope you have to use m = y2-y1/x2-x1

so lets plug in our numbers

m = - 4- 4/5-2

 = -8/3

So the slope is -8/3

Answer: 188in^2

Step-by-step explanation:

You can break the figure into 3 smaller shapes

15 x 5

10 x 5

and 9 x 7

The areas of these smaller shapes are 75, 59 and 63

adding these areas together would get you 188 in squared.

If you multiply each side of XYZ by 2 you get the side lengths of UVW

Because all 3 sides are the same scale the triangles would be the same shape and similar.

The given triangles are having same shape and are similar.

Two triangles are said to be similar if they have same shape, their corresponding angles are congruent, and their corresponding sides are in equal ratios.

Given are two triangles, ΔXYZ and ΔUVW, we need to check the relation between them,

The two corresponding angles in them are congruent then by AA similarity the triangles are similar,

And we know that the similar objects are of same shape.

Hence, the given triangles are having same shape and are similar.

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We are given an economy with two goods and Leontief consumers who have utility functions that depend on the minimum of the two goods. The initial endowments of the consumers are positive, and we are assuming that the aggregate endowment of the economy has more of the first good than the second. If a price system p=(p1,p2) is an equilibrium with market clearing, we need to show that p1=0 and p2>0.

We start by considering the demand function for a Leontief consumer, which is given by xi1(p) = xi2(p) = (p1 + p2)mi/pi, where mi represents the initial endowment of consumer i and pi represents the price of good i.

Since the aggregate endowment ω=(ω1,ω2) of the economy satisfies ω1 > ω2, we know that the total supply of the first good is greater than the total supply of the second good.

Now, if p1 > 0, then for any positive value of p2, the demand for the second good xi2(p) will be positive for all consumers. This implies that the total demand for the second good will be greater than the total supply, leading to a market imbalance.

To achieve market clearing, where total demand equals total supply, we must have p1 = 0. This is because if p1 = 0, the demand for the first good xi1(p) will be zero for all consumers, and the total supply of the first good will match the total supply. Additionally, p2 must be positive to ensure positive demand for the second good.

Therefore, we have shown that in an equilibrium price system with market clearing, p1 = 0 and p2 > 0, given the initial endowment condition ω1 > ω2.

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Answer: The positive acute angle between the x-axis and the angle's terminal side, or the angle's terminal side wherever it is, measured so that the reference angle is positive and less than 90° (or 2) is known as the reference angle for a given angle in trigonometry.

This is all I know I don't have a class like this sorry hope this helps you!

Perimeter of a regular pentagon = side + side + side + side + side

A polygon is a two-dimensional shape with straight sides that are connected to form a closed figure. The perimeter of a polygon is defined as the total distance around the exterior of the shape.

To calculate the perimeter of a polygon, you add up the lengths of all its sides. For example, a regular pentagon has five sides that are all the same length. To find the perimeter of this pentagon, you would add up the length of all five sides:

Perimeter of a regular pentagon = side + side + side + side + side

= 5 × side

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Answer:

186 miles

Step-by-step explanation: 171.37-16.99 = 154.38

154.38/0.83 =186

Answer:

1.86

Step-by-step explanation

Answer:

30 units

Step-by-step explanation:

IF it is a right triangle AND these are the LEGS then the hypotenuse = 13

5+12 + 13 = 30

In this case, we have two parallel lines cut by a transversal. It means that alternate interior angles are congruent. Therefore, we have that the indicated angle is equal to 82.

In summary, the correct option is A (82 degrees).

Answer:

\(3.5 - 2 \times 100 \div 2\)

Answer:

The percentage increase in the puppy's weight is 75%.

Step-by-step explanation:

We can find the percentage increase using the following formula:

\(\boxed{\% \space\ \mathrm {increase = \frac{final \space\ - \space\ initial}{initial} \times 100}}\).

In this case,

• initial = 2 kg

• final = 3.5 kg

Substituting these values into the formula:

\({\% \space\ \mathrm {increase = \frac{3.5 \space\ - \space\ 2}{2} \times 100}}\)

                ⇒ \(\frac{1.5}{2} \times 100\)

                ⇒ \(0.75 \times 100\)

                ⇒ 75%

The total area of the region in the first quadrant enclosed by the graphs y = cosx, y = x, and the y-axis is: 0.271 + 0.274 = 0.545

What is a graph?

In computer science and mathematics, a graph is a collection of vertices (also known as nodes or points) connected by edges (also known as links or lines).

To find the area of the region enclosed by the graphs y = cosx, y = x, and the y-axis in the first quadrant, we need to find the x-coordinates of the points where these graphs intersect.

At the intersection of y = cosx and y = x, we have:

cosx = x

Using numerical methods, we can find that there is a solution at x ≈ 0.739.

At the intersection of y = cosx and the y-axis, we have:

x = 0

At the intersection of y = x and the y-axis, we have:

x = 0

Therefore, the region in the first quadrant enclosed by the graphs y = cosx, y = x, and the y-axis can be divided into two parts: a triangular region and a curvilinear region.

The triangular region has base 0.739 and height 0.739, so its area is:

(1/2) * 0.739 * 0.739 = 0.271

The curvilinear region can be found by integrating y = cosx - x with respect to x from x = 0 to x = 0.739:

∫(cosx - x) dx = sinx - (1/2) x²

So the area of the curvilinear region is:

sin(0.739) - (1/2) * 0.739² = 0.274

Therefore, the total area of the region in the first quadrant enclosed by the graphs y = cosx, y = x, and the y-axis is:

0.271 + 0.274 = 0.545.

Therefore, the answer is not one of the given options.

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Equation

40 + 15 + 0.25x = 45 + 0.35y

Solution

55 + 0.25x = 45 + 0.35y The only way you can do this is to assume that x and y are equal

subtract 45 from both sides

55 - 45 + 0.25x = 0.35x

10 + 0.25x = 0.35x Subtract 0.25x from both sides.

10 = 0.35x - 0.25x

10 = 0.1x Divide by 0.1

10/0.1 = x

x = 100 So if each car goes 100 miles, it should turn out to be the same no matter which company gets the rental.

Let's see if that is true.

Cost for the first company = 40 + 15 + 0.25x = 55 + 25 = 80 dollars.

Cost for the second company = 45 + 0.35x = 45 + 35 = 80 dollars.

Conclusion

Both rentals charge the same total amount when each car is driven 100 miles.

The charge is 80 dollars.

Given:

The volume V(x) in cubic inches of this type of  open-top box is a function of the side length x in inches of the square cutouts and can be given by

\(V(x)=(17-2x)(11-2x)(x)\)

To find:

The above equation by expanding the  polynomial.

Solution:

We have,

\(V(x)=(17-2x)(11-2x)(x)\)

Using distributive property, we get

\(V(x)=[17(11-2x)-2x(11-2x)](x)\)

\(V(x)=[17(11)+17(-2x)-2x(11)-2x(-2x)](x)\)

\(V(x)=[187-34x-22x+4x^2](x)\)

Combining likes terms, we get

\(V(x)=[187-56x+4x^2](x)\)

Using distributive property, we get

\(V(x)=187x-56x^2+4x^3\)

\(V(x)=4x^3-56x^2+187x\)

Therefore, the required equation after expanding the  polynomial is \(V(x)=4x^3-56x^2+187x\).

we have: ∠P + ∠Q + ∠R = 180°

<=> (4x – 14)º + (5x + 6)° + (x - 2)° = 180°

<=> 4x – 14 + 5x + 6 + x - 2 = 180°

<=> 10x - 10 = 180°

<=> 10x = 190

<=> x = 19°

So: ∠R = (x - 2)° = (19 - 2)° = 17°

ok done. Thank to me :>

Answer:

Yes, this definition is valid. A regular polygon is a polygon where all sides are equal in length and all angles between the sides are also equal. Therefore, stating that a regular polygon has all sides of the same length is an accurate description of the defining characteristic of such a shape.

The chemical tracer commonly used to trace the paths of afferent axons is called "biocytin."

Afferent nerve fibers are axons (nerve fibers) of sensory neurons that carry sensory information from sensory receptors to the central nervous system. Many afferent projections arrive at a particular brain region. Afferent nerve fiber.

The chemical tracer commonly used to trace the paths of afferent axons is called "biocytin." Biocytin is a modified form of biotin that can be taken up by neurons and transported along their axons. It is often injected into a specific region of interest and allowed to diffuse throughout the neural tissue. Afferent axons originating from the injected area can then take up and transport the biocytin, allowing researchers to visualize and study their pathways using various histological techniques, such as immunohistochemistry or avidin-biotin complex staining.

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Answer:

x = -3

y = 3

Step-by-step explanation:

C = (-3,3)

Hope I helped! Have a nice day! Plz mark as brainliest!!! :D

-XxDeathshotxX

Answer:

It is a Quadratic Equation.

\(x^2 - 3x + 2 = 0\)

You can solve it using the quadratic formula, but note that the equation can be factored.

\((x-2)(x-1)=0\)

Therefore, the roots are \(x=2,\:x=1\)

Check the picture below, so the hyperbola looks more or less like so, with a center at the origin and a "c" distance from the center to a focus point of 25 units.

\(\textit{hyperbolas, horizontal traverse axis } \\\\ \cfrac{(x- h)^2}{ a^2}-\cfrac{(y- k)^2}{ b^2}=1 \qquad \begin{cases} center\ ( h, k)\\ vertices\ ( h\pm a, k)\\ c=\textit{distance from}\\ \qquad \textit{center to foci}\\ \qquad \sqrt{ a ^2 + b ^2} \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} h=0\\ k=0\\ a=24\\ c=25 \end{cases}\implies \cfrac{(x- 0)^2}{ 24^2}-\cfrac{(y-0)^2}{ b^2}=1\)

\(c=\sqrt{a^2+b^2}\implies c^2=a^2+b^2\implies c^2-a^2=b^2\implies 25^2 - 24^2 = b^2 \\\\\\ 49=b^2\hspace{7em}\cfrac{(x- 0)^2}{ 24^2}-\cfrac{(y-0)^2}{ b^2}=1\implies {\Large \begin{array}{llll} \cfrac{x^2}{576}-\cfrac{y^2}{49}=1 \end{array}}\)

If a shuttle was launched every day, about 1 failures would one expect in 300 years.

Finding an estimate or approximation—a value that can be used for a purpose despite the possibility of incomplete, uncertain, or unstable input data—is the process of estimation. Despite this, the value is still useful because it was created using the most up-to-date data.

Here,

There are about 110,000 days in 300 years, so the expected number of failures is about 10/11 ≈ 1.

This assumes the launch conditions are identical for each of the launches, or that whatever variation there might be has no effect on the probability. These are bad assumptions.

If a shuttle was launched every day, one might anticipate one failure every 300 years.

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(i) Gas pseudo critical properties: Tₚc = 387.8 °R, Pₚc = 687.6 psia.

(ii) Pseudo reduced temperature and pressure: Tₚr = 1.657, Pₚr = 3.638.

(iii) Gas deviation factor:

(iv) Gas formation volume factor and gas expansion factor is 0.0067.

(v) Gas flow rate in scf/day 493.5 scf/day.

Gas pseudo critical properties i -

The specific gravity (SG) is given as 0.72. The gas pseudo critical properties can be estimated using the specific gravity according to the following relationships:

Pseudo Critical Temperature (Tₚc) = 168 + 325 * SG = 168 + 325 * 0.72 = 387.8 °R

Pseudo Critical Pressure (Pₚc) = 677 + 15.0 * SG = 677 + 15.0 * 0.72 = 687.6 psia

(ii) Pseudo reduced temperature and pressure:

The average pressure is given as 2,500 psia and the temperature is 130 °F. To calculate the pseudo reduced temperature (Tₚr) and pressure (Pₚr), we need to convert the temperature to the Rankine scale:

Tₚr = (T / Tₚc) = (130 + 459.67) / 387.8 = 1.657

Pₚr = (P / Pₚc) = 2,500 / 687.6 = 3.638

(iii) Gas deviation factor:

The gas deviation factor (Z-factor) can be determined using the Pseudo reduced temperature (Tₚr) and pressure (Pₚr). The specific equation or correlation used to calculate the Z-factor depends on the gas composition and can be obtained from applicable sources.

(iv) Gas Formation Volume Factor (Bg):

T = 130°F + 460 = 590°R

P = 2,500 psia

Z = 1 (assuming compressibility factor is 1)

Bg = 0.0283 × (590°R) / (2,500 psia × 1) ≈ 0.0067

(v) Gas Flow Rate in scf/day:

Gas flow rate = 15,000 ft³/day × 0.0329

≈ 493.5 scf/day

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Answer:

x=4

Step-by-step explanation:

subtract 2 from both sides---

5x + 2 - 2 = 22 - 2

simplify ---

5x=20

Divide both sides by 5 -----

5x/5 = 20/5

simplify -----

x-4

hope this helps :)

Using a system of equations, it is found that:

-----------------------------------------

This question is solved using a system of equations. I am going to say that:

-----------------------------------------

Thus:

\(x + y = 24 \rightarrow y = 24 - x\)

-----------------------------------------

Thus:

\(2x + 4y = 80\)

-----------------------------------------

Number of chicken:

Since \(y = 24 - x\)

\(2x + 4y = 80\)

\(2x + 4(24 - x) = 80\)

\(2x + 96 - 4x = 80\)

\(2x = 16\)

\(x = \frac{16}{2}\)

\(x = 8\)

There are 8 chickens in the yard.

-----------------------------------------

Number of pigs:

\(y = 24 - x = 24 - 8 = 16\)

There are 16 pigs in the yard.

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Greetings from Brasil....

From Pythagoras we have

AB² = AC² + BC²

13² = 12² + X²

Answer:

5 cm

Step-by-step explanation:

Pythagoras theorem gives us:

\(hypotenuse^{2} = side^{2} + side^{2}\)

We know the hypotenuse is 13 cm.

We know one side is 12 cm.

\(13^{2} = 12^{2} + side^{2}\)

\(169= 144 + side^{2}\)

Subtracting 144 from both sides:

\(25 = side^{2}\)

Reversing the sides:

\(side^{2}=25\)

\(\sqrt{side^{2}}= \±\sqrt{25}\)

\(side = \±\sqrt{25}\)

\(side = \±5\)

Since a distance can't be negative:

\(side=5\)

The third side is 5 cm.

Answer:

\((- \infty, 2), (2, \infty)\)

Step-by-step explanation:

Given the function:

\(f(x) = \dfrac{x+1}{x-2}\)

To find:

Domain of the function.

Solution:

First of all, let us learn about definition of  domain of a function.

Domain of a function is the valid input values that can be provided to the function for which output is defined.

OR

Domain of a function \(f(x)\) are the values of \(x\) for which the output \(f(x)\) is a valid value.

i.e. The function does not tend to \(\infty\) or does not have \(\frac{0}0\) form.

So, we will check for the values of \(x\) for which \(f(x)\) is not defined.

For value to tend to \(\infty\), denominator will be 0.

\(x-2\neq 0 \\\Rightarrow x \neq 2\)

So, the domain can not have x = 2

Any other value of x does not have any undefined value for the function \(f(x)\).

Hence, the answer is:

\(\bold{(- \infty, 2), (2, \infty)}\)     [2 is not included in the domain].