Can someone help me with this bell work, it is due at 2:15. It is attached!

Answer:

A rotation is distance preserving. All points in space are rotated but the distance between any 2 points before and after the rotation is preserved.

Answer: A map f : X → Y is called an isometry or distance preserving if for any a,b ∈ X one has. An isometry is automatically injective; otherwise two distinct points, a and b, could be mapped to the same point, thereby contradicting the coincidence axiom of the metric d.

Step-by-step explanation:

The value of x is 17

The congruent arcs are (b) PQ and SR

The radius is 12 units

The value of PQ is 4

The length YZ is 19 units

In this question, we make use of the property of congruent sides

So, we have

3x - 24 = x + 10

When evaluated, we have

2x = 34

Divide by 2

x = 17

By the definition of congruent arcs, congruent arcs are arcs that have equal measures

In this figure, the congruent arcs are PQ and SR i.e. (b) PQ and SR

The radius of the circle is calculated as

r² = (25 + r)² - 35²

When expanded, we have

r² = 625 + 50r + r² - 1225

So, we have

50r = 600

Divide both sides by 50

r = 12

In this question, we make use of the property of congruent sides

So, we have

PQ = SR

Where

SR = 4

When evaluated, we have

PQ = 4

The length of YZ in the circle is calculated as

YZ² = (9 + 8)² + 8²

So, we have

YZ² = 17² + 8²

When expanded, we have

YZ² = 289 + 64

So, we have

YZ² = 353

Take the square root of both sides

YZ = 19

Hence, the length YZ is 19 units

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Answer:

  y +4 = 1/5(x +5)

Step-by-step explanation:

The equation of a line with slope m through point (h, k) in point-slope form is ...

  y -k = m(x -h)

You have m=1/5, (h, k) = (-5, -4). Putting these values into the formula gives ...

  y -(-4) = (1/5)(x -(-5))

  y +4 = 1/5(x +5)

After deducting the consumed liquid, there is 1.75 L of apple juice left.

Real numbers, natural numbers, whole numbers, rational numbers, and other sorts of numbers can all be categorized in mathematics. There are decimal numerals among them. The common format for expressing both integer and non-integer numbers is this.

After deducting the consumed liquid, there is 1.75 L of apple juice left.

One of the number types in algebra that has a whole integer and a fractional portion separated by a decimal point is a decimal. The decimal point is the dot that appears between the parts of a whole number and a fraction. An example of a decimal number is 34.5.

Luke had a 2-liter carton of apple juice.

He drank 1/4=0.25 l of the apple juice,

Left juice is = 2-0.25 = 1.75 L

The remaining apple juice after subtracting the drank juice is =1.75 L

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The average rate of change between hour 4 and hour 8 is equal to the  average rate of change between hour 0 and hour 4.

Function is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given,

The function f(x)=80(1.5)x

where x is the time in hours

Then,

f(4)=80(1.5)4=480

f(8)=80(1.5)8=960

f(0)=80(1.5)0=0

Then the average rate of change between 4 and 8 hours =\(\frac{960-480}{4}\)

=120 units per hour

The average rate of change between 0 and 4 hours=\(\frac{480-0}{4}\)

=120 units per hour

Hence, the average rate of change between hour 4 and hour 8 is equal to the  average rate of change between hour 0 and hour 4.

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The sample space has 27 elements.

The sample space is the set of all possible outcomes of an experiment. In this case, the experiment is drawing one card from a well-shuffled deck of 27 cards.

To determine the number of elements in the sample space, we can count the total number of cards in the deck.

The number of red cards is 6, the number of green cards is 8, and the number of blue cards is 13. Therefore, the total number of cards in the deck is:

6 + 8 + 13 = 27

Hence, there are 27 possible outcomes when drawing one card from the deck. These outcomes consist of the 6 red cards, the 8 green cards, and the 13 blue cards in the deck.

So the sample space has 27 elements.

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Answer:

Im not too sure because I haven't done this in a while but, I think the answer is 60cm, don't come at me if its wrong plssss

Step-by-step explanation:

if u divide it along the far left, closer to 12cm, u would have 2 rectangles. they would Both be close and If u added up 12cm and 12cm that would give you 24cm, and if you go to the other rectangle it would be 18 cm plus 18cm that would be 36cm. u do not multiply since it is perimeter and not area. Hope it helped!

Answer:

60 cm

Step-by-step explanation:

18+18+12+12

30+30

60

the 4 unknown sides we know that the 2 lengths equal 18 cm because both of them together are the same length as the base and the 2 widths add up to be 12 cm since it is the same size as the 12 cm width when added together if that makes sense

Hopes this helps

We have derived the following equations:

(10) Y = 7,000 - 200r - 1,000ε
(11) 10 = r + 5ε
(12) NX = 500 - 500r - 2,500ε
(13) CF = -50,000 + 50,000r + 250,000ε

To solve the given equations for the equilibrium values of C, NX, CF, r, and ε, let's go step by step.

First, we'll substitute equations (2), (3), (4), (5), (6), (7), (8), and (9) into equation (2) to eliminate the variables C, I, G, NX, CF, and T.

Equation (2) becomes:
Y = (1/2)(Y - T) + (2,000 - 100r) + 1,500 + (500 - 500ε)

Next, let's simplify the equation:

Y = (1/2)(Y - 1,000) + 2,000 - 100r + 1,500 + 500 - 500ε

Distribute (1/2) to the terms inside the parentheses:

Y = (1/2)Y - 500 + 2,000 - 100r + 1,500 + 500 - 500ε

Combine like terms:

Y = (1/2)Y + 3,500 - 100r - 500ε

Now, let's isolate Y by subtracting (1/2)Y from both sides:

(1/2)Y = 3,500 - 100r - 500ε

Multiply both sides by 2 to get rid of the fraction:

Y = 7,000 - 200r - 1,000ε

We now have one equation (10) in terms of Y, r, and ε.

Next, let's substitute equation (1) into equation (10) to solve for Y:

5,000 = 7,000 - 200r - 1,000ε

Subtract 7,000 from both sides:

-2,000 = -200r - 1,000ε

Divide both sides by -200:

10 = r + 5ε

This gives us equation (11) in terms of r and ε.

Now, let's substitute equation (11) into equation (5) to solve for NX:

NX = 500 - 500ε

Substitute r + 5ε for ε:

NX = 500 - 500(r + 5ε)

Simplify:

NX = 500 - 500r - 2,500ε

This gives us equation (12) in terms of NX, r, and ε.

Finally, let's substitute equation (12) into equation (6) to solve for CF:

CF = -100r

Substitute 500 - 500r - 2,500ε for NX:

CF = -100(500 - 500r - 2,500ε)

Simplify:

CF = -50,000 + 50,000r + 250,000ε

This gives us equation (13) in terms of CF, r, and ε.

To summarize, we have derived the following equations:

(10) Y = 7,000 - 200r - 1,000ε
(11) 10 = r + 5ε
(12) NX = 500 - 500r - 2,500ε
(13) CF = -50,000 + 50,000r + 250,000ε

These equations represent the equilibrium values of Y, r, ε, NX, and CF in the given open economy.

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From the given question we cannot conclude that Burger Quick has a smaller range based on the given information.

Range refers to the set of potential target value, and if we have a graph, then the range is the collection of all feasible y-values on the graph.

Burger Quick is able to estimate their wait time more consistently because it has a smaller interquartile range (IQR). The IQR is a measure of the spread of the middle 50% of the data, and a smaller IQR indicates that the data is more tightly clustered around the median. In this case, Burger Quick has an IQR of 14.5 (from 9.5 to 24), while Fast Chicken has an IQR of 4.5 (from 10 to 14.5). This means that the wait times reported by Burger Quick are more consistent and less variable than those reported by Fast Chicken.

The range is a measure of the total spread of the data, and while a smaller range can indicate less variability, it doesn't necessarily mean that the data is more consistent in the middle. Therefore, we cannot conclude that Burger Quick has a smaller range based on the given information.

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The terminal side of θ would lie in the first quadrant. The quadrant in which the terminal side of θ lies can be determined based on the given conditions. If sinθ > 0 and cscθ > 0, it means that the sine and cosecant of θ are both positive.

To determine the quadrant in which the terminal side of θ lies, we can analyze the signs of the trigonometric functions involved. The sine function (sinθ) represents the y-coordinate, and the cosine function (cosθ) represents the x-coordinate on the unit circle. The cosecant function (cscθ) is the reciprocal of the sine function (1/sinθ).

In the first quadrant (0° to 90°), both the x and y coordinates are positive. Therefore, sinθ > 0 and cscθ > 0 are satisfied. Since cosθ > 0 as well, it means that the terminal side of θ falls in the first quadrant.

It's important to note that the given conditions are not sufficient to determine the exact value of θ, but they provide information about the quadrant in which the terminal side of θ lies.

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Answer:

a

Step-by-step explanation:

The integer which makes the inequality  4(n − 8) < 2(n + 6) true is n < 22

The inequality is  

4(n − 8) < 2(n + 6)

Th inequality is the defines as the relationship between one variable and another variable except equal. The relationship maybe less than, less than or equal to, greater than and greater than or equal to

The inequality is  

4(n − 8) < 2(n + 6)

Expand the terms

4n - 32 < 2n + 12

4n - 2n < 12 + 32

2n < 44

n < 44/2

n < 22

Hence, the integer which makes the inequality  4(n − 8) < 2(n + 6) true is n < 22

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Answer:

I think it is 44

Explanation:

The one above me is wrong because if you put 22 then it would be equal not less than that and I also marked it in a test and I got it wrong.

Hope this helps!

Please MARK ME BRAINLIEST PLEASE (Only if it helps)

Answer: conjecture

Step-by-step explanation:

A conjecture is a statement or an opinion based on logical reasoning or trivial facts that are always true. It does not require any proof.

Thus, A conjecture is a statement that you conclude to be true based on logical reasoning.

Note:

s= p+3

(number of sports drinks= s)

(pizza slices= p)

Step-by-step explanation:

The answer to the question is 3

Answer:

3

Step-by-step explanation:

1 + X = 4

4 - 1 = X

3 = X

Answer:

yes

Step-by-step explanation:

The interior angles of a triangle will always add up to 180. If you were to sub in 30 for b, which is what they're suggesting, you'll see that it adds up to 180. The same thing goes for if you subbed in 110 for a.

The airplane will become balanced if we add a 100- pound weight to the baggage compartment.

An airplane is used to convey people and goods from one point to another by air. The airplane must be airlifted. This means that the airplane must be balanced while on air. If the airplane is not balanced, it may be difficult to control.

Looking at the situation of this airplane, the airplane will become balanced if we add a 100- pound weight to the baggage compartment.

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Yosef's average weekly fuel cost would be $2537.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Yosef drove 12,900 miles last year. His truck's fuel efficiency averages 15 mpg.

Karla used 12900/15 = 860 gallons to drive 12900 miles.

The average cost of gas last year was $2.95 per gallon.

Therefore, Yosef's average weekly fuel cost would be

2.95 x 860 = $2537

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The partial derivative of the utility function \(U(x_1, x_2)\) with respect to \(x_1\) is \(a * x_1^{(a-1)} * x_2^{(1-a)}\), and the partial derivative with respect to \(x_2\) is \((1-a) * x_1^a * x_2^{(-a)}.\)

The utility function  \(U(x_1, x_2)\) represents a consumer's satisfaction or preference for two consumption goods, \(x_1\) and \(x_2\). The partial derivatives provide insights into how the utility function changes as we vary the quantities of the goods.

To calculate the partial derivative with respect to \(x_1\), we differentiate the utility function with respect to \(x_1\) while treating \(x_2\) as a constant. The result is \(a * x_1^{(a-1)} * x_2^{(1-a)}\). This derivative captures the impact of changes in \(x_1\) on the overall utility, taking into account the relative importance of \(x_1\)(determined by the parameter a) and the quantity of \(x_2\).

Similarly, to find the partial derivative with respect to \(x_2\), we differentiate the utility function with respect to \(x_2\) while treating \(x_1\)as a constant. The resulting derivative is \((1-a) * x_1^a * x_2^{(-a)}.\). This derivative shows how changes in \(x_2\) affect the overall utility, considering the relative weight of \(x_2\) (given by 1-a) and the quantity of \(x_1\).

In summary, the partial derivatives provide information about the sensitivity of the utility function to changes in the quantities of the consumption goods, allowing us to understand the consumer's preferences and decision-making.

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The union of events A and B, denoted by A∪B, contains all outcomes that are in A or B. Option B

In probability theory, events A and B represent sets of outcomes from a given experiment or sample space. The union of two events A and B is the set of all outcomes that belong to either A or B or both. It is formed by combining the elements from both sets without repetition.

Mathematically, the union of events A and B is defined as:

A∪B = {x : x ∈ A or x ∈ B}

This means that any outcome x that is in event A or event B (or both) will be included in the union of A and B.

To illustrate this concept, consider the following example:

Event A: Rolling an even number on a fair six-sided die

A = {2, 4, 6}

Event B: Rolling a number greater than 4 on a fair six-sided die

B = {5, 6}

The union of A and B, denoted by A∪B, will contain all outcomes that are in A or B:

A∪B = {2, 4, 5, 6}

Therefore, option B is the correct choice. The union of events A and B contains all outcomes that are in A or B.

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Step-by-step explanation:

In geometry, a honeycomb is a space filling or close packing of polyhedral or higher-dimensional cells, so that there are no gaps. It is an example of the more general mathematical tiling or tessellation in any number of dimensions. ... They may also be constructed in non-Euclidean spaces, such as hyperbolic honeycombs.

Answer:

Step-by-step explanation:

x= -1 and -3

What when multiplied is +3 but when added is 4? 3 and 1. You then get (x+3)(x+1) is the first part of the answer. If you want to find x, set x+3 to 0. x+3=0. Then subtract 3 from both sides to get x by itself. x= -3. Do the same with the x+1.

There are several methods to prove that two triangles are similar, including the AA, SAS, and SSS similarity theorems.

Similar triangles proofs. To do that, let's consider the key terms and concepts involved in similar triangles:
1. Similar Triangles: Two triangles are similar if their corresponding angles are congruent, and their corresponding sides are proportional.
2. Angle-Angle (AA) Similarity: If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.
3. Side-Angle-Side (SAS) Similarity: If two sides of one triangle are proportional to two sides of another triangle, and the included angles are congruent, then the triangles are similar.
4. Side-Side-Side (SSS) Similarity: If all three sides of one triangle are proportional to the corresponding sides of another triangle, then the triangles are similar.
Now, let's go through a step-by-step example of a similar triangles proof:
Given: ΔABC is similar to ΔDEF, with ∠A congruent to ∠D and ∠B congruent to ∠E.
Prove: AB/DE = BC/EF = AC/DF
Solution:
Step 1: Identify the given information.
We know that ΔABC is similar to ΔDEF, and ∠A ≅ ∠D, ∠B ≅ ∠E.
Step 2: Use the Angle-Angle (AA) Similarity Postulate.
Since two corresponding angles are congruent, we can conclude that the triangles are similar by the AA Similarity Postulate.
Step 3: Determine the proportionality of corresponding sides.
Since the triangles are similar, their corresponding sides are proportional. Therefore, we can write the proportions as:
AB/DE = BC/EF = AC/DF
By following these steps and using the key terms, we have proven that the given triangles are similar and their corresponding sides are proportional.

1. ΔDFE≈ ΔGFH :- As the  corresponding sides are  proportional and  two corresponding angles are congruent, hence ΔDFE≈ ΔGFH  are similar.

2. ΔQRS≈ ΔTUV :- As QR = 3TU, The triangles are not similar.

3. ΔLMN≈ ΔLJK :- As  the  corresponding sides are  proportional, the triangles are similar.

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The implicit solution is:
F(x,y) = e^(-4/3(x²+C)) - y - 5 = 0, where C is an arbitrary constant.

To solve the equation 3dy/dx + 4x°(5+y?) = 0, we can first isolate the dy/dx term by dividing both sides by 3:
dy/dx = -4x°(5+y?)/3

Next, we can separate variables by multiplying both sides by dx and dividing both sides by -4x°(5+y?):
-3/(4x°) dy/(5+y?) = dx

Integrating both sides with respect to their respective variables, we get:
-3/4 ln|5+y?| = x² + C
where C is an arbitrary constant.

Solving for y, we can exponentiate both sides:
|5+y?| = e^(-4/3(x²+C))
y = ±(e^(-4/3(x²+C))) - 5

Thus, the the implicit solution in the form F(x,y) = C is:
F(x,y) = e^(-4/3(x²+C)) - y - 5 = 0, where C is an arbitrary constant.

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The differential equation \((x^3+5y^3)dx+(2xy−7y^2)dy=0\) is a non-homogeneous DE.

In the given differential equation \((x^3+5y^3)dx+(2xy−7y^2)dy=0,\) the functions\(M = x^3 + 5y^3\) and \(N = 2xy − 7y^2\) are not homogeneous functions of the same degree.

In a homogeneous differential equation, both M and N should be homogeneous functions of the same degree.

Since this condition is not satisfied, the given differential equation is classified as a non-homogeneous differential equation.

Homogeneous differential equations are a specific type of differential equation where both the coefficients of the terms and the dependent variable have the same degree

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Answer:

rearrange the formula A=lw and make the width the subject of the formula

therefore to find width, the formula is w=A/l

Width = Area/Length

What is the Area of Rectangle?

Area of rectangle is the region occupied by a rectangle within its four sides or boundaries.

The area of a rectangle depends on its sides. Basically, the formula for area is equal to the product of length and breadth of the rectangle. Whereas when we speak about the perimeter of a rectangle, it is equal to the sum of all its four sides. Hence, we can say, the region enclosed by the perimeter of the rectangle is its area.

Area of rectangle = Length x Breadth(or width)

A = L*W

Given,

Length = L = 5

Width = W

Let Area = A

according to the formula of rectangle,

A = L*W

If Area and length is given,

W = A/L

Width = Area/Length = Area/5

Therefore, the equation is Width = Area/Length

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The optimal solution for the given linear programming model is:

max z = 38

when x1 = 5, x2 = 10, x3 = 0

To solve the given linear programming model using the simplex algorithm, we start by converting the inequalities into equations and introducing slack variables. The initial tableau is constructed with the coefficients of the decision variables and the right-hand side constants.

Next, we apply the simplex algorithm to iteratively improve the solution. By performing pivot operations, we move towards the optimal solution. In each iteration, we select the pivot column based on the most negative coefficient in the objective row and the pivot row based on the minimum ratio test.

After several iterations, we reach the optimal tableau, where all the coefficients in the objective row are non-negative. The optimal solution is obtained by reading the values of the decision variables from the tableau.

In this case, the optimal solution is z = 38 when x1 = 5, x2 = 10, and x3 = 0. This means that to maximize the objective function, the decision variables x1 and x2 should be set to 5 and 10 respectively, while x3 is set to 0.

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Answer:

Option B is the correct answer

Step-by-step explanation:

B. x2 + y2 = 25