Which graph represents the function r(x) = \-21-1
D
5
3-
2
-5 - -
-5 -5 -3
1
5-5-3-2-117
3
4
1
61
5
4
3+
2+
1+
-65 +32-1
1 2 3 4 5

Answer:

C has the lease value of 1/3

Step-by-step explanation:

A:  (2³)² ÷ 2^5 = 2

B:  4^0 = 1

C:  3^(4-5) = 3^-1 = 1/3

D: 5^0 = 1

The type of graph that represents a system of linear equations that has multiple common coordinate pairs as a solution is called a line of best fit.

A line of best fit is a line drawn through data points that are scattered on a graph in order to illustrate a relationship between the data.

This line helps identify patterns in the data, and when plotted, multiple points can exist on the same line, which in this case represents the multiple common coordinate pairs.

To create a line of best fit, you will need to calculate the slope and the intercept for the equation that models the data. Then, you can plot the points onto the graph and draw a line through them.

The resulting line will be the line of best fit, which represents the multiple common coordinate pairs that are solutions for the system of linear equations.

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From left to right

1. -1.0

2. -1/4

3. 1(1/4)

solution is on the picture attached

Hope this helps

Answer:

Step-by-step explanation:

Isolate the variable of y from one side of the equation.

-14=5(3y-10)-5y

First, switch sides.

\(\sf{5\left(3y-10\right)-5y=-15}\)

Use the distributive property.

DISTRIBUTIVE PROPERTY:

A(B-C)=AB-AC

5(3y-10)

Multiply by expand.

5*3y=15y

5*10=50

15y-50-5y

15y-5=10y

= 10y-50

10y-50=-15

Add by 50 from both sides.

10y-50+50=-15+50

Solve.

10y=35

Then, you divide by 10 from both sides.

10y/10=35/10

Solve.

Divide the numbers from left to right.

35/10=7/2

y=7/2

Divide is another option.

7/2=3.5

\(\Longrightarrow: \boxed{\sf{y=\dfrac{7}{2}}}\)

I hope this helps. Let me know if you have any questions.

The missing length of the triangle using Pythagoras theorem is; x = 3

Pythagoras Theorem is defined as the way in which you can find the missing length of a right angled triangle. The right angle triangle has three sides, the hypotenuse (which is always the longest), Opposite (which doesn't touch the hypotenuse) and the adjacent (which is between the opposite and the hypotenuse).

The formula to find the sides is;

hypotenuse² = opposite + adjacent²

We are given;

Hypotenuse = 5

Opposite = x

adjacent = 4

Thus;

5² = x² + 4²

x² = 5² - 4²

x² = 25 - 16

x = √9

x = 3

We conclude that it is the missing length of the triangle

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The area of the floor in the scale drawing will be equal to 150 in².

An object's area is how much space it takes up in two dimensions. It is the measurement of the number of unit squares that completely encompass the surface of a compact figure. The squared unit, which is frequently expressed as inches, square feet, etc., is the accepted unit of area.

As per the given information in the question,

Length of the classroom, l = 30 feet and,

The width of the classroom, w = 20 feet.

As per the scale drawing, the length of the classroom, l' = 15 feet

Let the scale width, w' = x feet

As we can see that the original length is twice the scale drawing.

Then, the original width also is twice the scale drawing.

So, w' = 20/2 = 10 feet.

Now, the area of the floor in the scale drawing will be,

A = wl

A = (15)(10)

A = 150 in².  

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Answer:

5n-4

Step-by-step explanation:

The rule of the sequence is 5n-4.

If n=1 then 5(1)-4=1 because 5x1=5 and 5-4=1

If n=2 then 5(2)-4=6 because 5x2=10 and 10-4=6

If n=2 then 5(3)-4=11 because 5x3=15 and 15-4=11

If n=2 then 5(4)-4=16 because 5x4=20 and 20-4=16

Answer:

the answer is 50.000000000000

Answer:

My number is 50.

Step-by-step explanation:

Answer: 130°

Step-by-step explanation:

Concept to know:

Linear pair: two angles that forms one line

One line: 180°

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

x+50=linear pair

x+50=180

     x=130°

Hope this helps!! :)

Please let me know if you have any question

The dimensions of the square-based box with the greatest volume under the given conditions are x = 174/3 inches for each side,

and the maximum volume is approximately 6936.67 cubic inches.

Here, we have,

To find the dimensions and volume of a square-based box with the greatest volume under the given conditions, we need to maximize the volume of the box subject to the constraint that the sum of length, width, and height does not exceed 174 inches.

Let's assume the length, width, and height of the box are all equal and represented by the variable x.

The volume of the box is given by V = x³.

The constraint can be expressed as:

length + width + height ≤ 174,

which translates to 3x ≤ 174.

To find the maximum volume, we can solve the optimization problem by maximizing the volume function V = x³

subject to the constraint 3x ≤ 174.

To do this, we can rewrite the constraint as x ≤ 174/3.

Since we want to find the maximum volume, we choose the largest possible value for x within the constraint.

Therefore, x = 174/3.

Substituting this value of x back into the volume formula, we get:

V = (174/3)³

Calculating this expression gives us:

V ≈ 6936.67 cubic inches.

Therefore, the dimensions of the square-based box with the greatest volume under the given conditions are x = 174/3 inches for each side, and the maximum volume is approximately 6936.67 cubic inches.

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Approximately 1.5% of computer programmers make over $97,800.

The average salary of computer programmers is $71,800 with a standard deviation of $13,000. To determine the percentage of programmers making over $97,800, we need to find the area under the normal distribution curve to the right of this value.

Using the z-score formula, we can find the z-score corresponding to $97,800: z = (x - μ) / σ = (97800 - 71800) / 13000 ≈ 2.145.

Looking up the z-score in a standard normal distribution table, we find that approximately 1.5% of programmers make over $97,800.

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Answer:

(2a, 0)

Step-by-step explanation:

the distance from (a,0) and z from the origin and to each other is both 3. It’s in the middle of two points, there’s an equal distance between w to y and y to z. I hope that makes sense, so, to get the x coordinate multiply a by 2.

The category in the Excel Options dialog box that contains the option to change the user name is "General".

In the Excel Options dialog box, the category that contains the option to change the user name is the General category.

Excel graphing methods, Go to Insert > Line after selecting the data. The type of line chart you want may be chosen from a dropdown menu that appears when you click the icon.

We'll use the fourth 2-D line graph (Line with Markers) for this illustration. Your line graph for the chosen data series will be added by Excel.

What are the primary three graphs?

How to Use Graphs in Science

Bar, circle, and line graphs are the three most often utilized graph kinds. Each form of graph may be used to display a certain kind of data.

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The equation imply is: An increase of $1 in marketing is associated with an increase of $1,000 in sales.

According to the equation ŷ = 35,000 + 2x, where ŷ represents sales and x represents marketing, the coefficient of x is 2. This implies that for every $1 increase in marketing (x), there will be a corresponding increase of $2,000 in sales (ŷ).

Therefore, the correct answer is that an increase of $1 in marketing is associated with an increase of $2,000 in sales, as indicated by the coefficient value of 2 in the equation. It is important to note that the coefficient represents the rate of change between the two variables. In this case, for every unit increase in marketing, sales will increase by $2,000.

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Answer:

\(61600\)

Step-by-step explanation:

\(10^4\\\\10*10*10*10\\\\100*100\\\\10000\\\\\\10000*6.16\\\\61600\)

The total money Monika spent at the cafe to buy a bacon cheeseburger, large fries and milkshake is $9.9.

Given that, while visiting the zoo, Monika has budgeted $10 for lunch at the café.

To add decimals, write the numbers in a column, and make sure that the decimal points are aligned. To keep the decimal point in your sum, place a decimal point directly below the decimal points in the addends. Align the decimal point in the sum with the decimal point in the addends, and add a zero if necessary.

Cost of a Cheeseburger= $4.75

Cost of a french fries, a large = $1.90

Cost of a milkshake = $3.25.

Now, the total amount spent at the cafe =  Cost of a Cheeseburger + Cost of a french fries, a large + Cost of a milkshake

= (4.75+1.90)+3.25

=6.65 + 3.25

=$9.9

Therefore, the total money Monika spent at the cafe to buy a bacon cheeseburger, large fries and milkshake is $9.9.

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"Your question is incomplete, probably the complete question/missing part is:"

While visiting the zoo, Monika has budgeted $10 for lunch at the café. Can she afford a bacon cheeseburger, large fries and milkshake? Explain.

The cost of food items available at cafe are listed below:

Sandwiches Sides Beverages

Hamburger $3.25

Bacon Cheeseburger $4.75

Chicken Fajita Taco $3.50

French Fries, Small $1.55

French Fries, Large $1.90

Onion Rings $2.40

Cole Slaw $1.45

Soft Drink, Small $1.30

Soft Drink, Large $1.65

Milkshake $3.25

Juice $1.80

Answer:

mean only

Step-by-step explanation:

the expensive house does not affect mode or median :)

Answer:

A

Step-by-step explanation:

None of the graphs with the given degree sequence (4,4,4,4,4,4,2) can be bipartite.

To understand why none of the graphs with the given degree sequence (4,4,4,4,4,4,2) are bipartite, let's first define the key terms:

1. Degree: The degree of a vertex in a graph is the number of edges incident to it.
2. Sequence: A degree sequence is a list of the degrees of each vertex in a graph.
3. Bipartite: A graph is bipartite if its vertices can be partitioned into two disjoint sets such that no two vertices within the same set are adjacent.

Now, let's analyze the given degree sequence (4,4,4,4,4,4,2):

1. There are 7 vertices in the graph.
2. The sum of the degrees is 4+4+4+4+4+4+2 = 26, which is even (a necessary condition for a graph to be bipartite).

For a graph to be bipartite, it must satisfy the Handshaking Lemma. The Handshaking Lemma states that the sum of the degrees of all vertices in a set should be equal to the sum of the degrees of all vertices in the other set. In other words, the sum of the degrees of all vertices in one set is equal to the number of edges crossing between the two sets.

Let's assume we can divide the vertices into two disjoint sets, A and B. Since each vertex with degree 4 is adjacent to 4 vertices, it must be connected to vertices in the opposite set. However, we have six vertices with degree 4, so the total sum of degrees of vertices in set A would be 6 * 4 = 24, while the vertex with degree 2 in set B would only account for 2. This contradicts the Handshaking Lemma, as 24 ≠ 2.

Hence, none of the graphs with the given degree sequence (4,4,4,4,4,4,2) can be bipartite.

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its 10 cause I have big brain

Step-by-step explanation:

so

Using a system of equations, we have that:

1. The table is completed on the image given at the end of the answer.

2. The equation is: 35w + 25t = 1600.

A system of equations is a set of equations in the context of a problem, and solving these equations, the numeric value of each variable in the context of the problem is found.

The variables in this problem are defined as follows:

A jug of drinking water weighs 35 pounds and a case of paper towels weighs 25 pounds. The truck can carry 1,600 pounds of cargo altogether. Hence the equation is:

35w + 25t = 1600.

When w = 10, the numeric value of t is obtained as follows:

35(10) + 25t = 1600

t = (1600 - 350)/25

t = 50.

When w = 30, the numeric value of t is obtained as follows:

35(30) + 25t = 1600

t = (1600 - 1050)/25

t = 22.

When t = 8, the numeric value of w is obtained as follows:

35w + 25(8) = 1600

w = 1400/35

w = 40.

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Answer:

Often

Step-by-step explanation:

Hope this helps :D

The third step in the data Modeling process when using a packaged data model typically involves customizing and refining the model to align with your specific business requirements.

Here's a breakdown of this step:

1. Identify unique business requirements: Understand the specific needs of your organization or project that are not addressed by the packaged data model's default settings.

2. Map out customizations: Determine which aspects of the packaged data model need to be adjusted or extended to accommodate your unique requirements. This may include adding or modifying entities, attributes, or relationships.

3. Document customizations: Keep a clear record of any changes made to the packaged data model. This will help maintain consistency across different team members and provide a reference point for future updates or modifications.

4. Implement customizations: Update the packaged data model with the required changes, following best practices for data modeling and ensuring the integrity of the overall structure.

5. Validate customizations: Test the updated data model to ensure that it accurately represents your business requirements and functions as expected. This may involve reviewing the model with stakeholders, running test queries, or using data validation tools.

6. Iterate as necessary: If any issues or further requirements are identified during validation, refine and update the data model as needed.

By customizing and refining the packaged data model, you can tailor it to better suit your organization's unique needs, ultimately leading to more accurate and useful insights from your data.

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Joy will make 5 ornaments this weekend.

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

WE have been given that Joy made 2 ornaments in 6 hours.

This weekend, Joy plans to spend a total of 15 hours making ornaments.

If joy works at the same rate Therefore,

2 ornaments is 6 hours = 2/6 ornaments/hour

= 1/3 ornaments/hour

Thus 1/3 ornaments/hour × 15 hours = 5 ornaments

Hence, She will make 5 ornaments this weekend.

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The length of the vertical stripe that runs from the top of the kite to its base 25.46 inches

The length of the side of the square = 18 inches

The length of the vertical stripe that runs from the top of the kite to its base is the diagonal of the square.

So when you split the square through the diagonal. It will form two right triangles

So we have to find the hypotenuse of the right triangles

According to the Pythagorean theorem

Hypotenuse square = The side square + The side square

Consider the hypotenuse as x

x^2 = 18^2 + 18^2

x^2 = 324 + 324

x^2 = 648

x = \(\sqrt{648}\)

x = 25.46 inches

Therefore, the length of the vertical strip is 25.46 inches

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Answer:

648

Step-by-step explanation:

Assuming that the vertical stripe runs along the diagonal of the square kite, we can use the Pythagorean theorem to find its length.

The Pythagorean theorem states that in a right triangle, the sum of the squares of the lengths of the legs (the sides that form the right angle) is equal to the square of the length of the hypotenuse (the side opposite the right angle).

In this case, the two legs of the right triangle are the two sides of the square kite that meet at a right angle, each of length 18 inches. The hypotenuse is the length of the vertical stripe we want to find, which runs from the top of the kite to its base.

Using the Pythagorean theorem, we have:

hypotenuse^2 = leg1^2 + leg2^2

hypotenuse^2 = 18^2 + 18^2

hypotenuse^2 = 648

Taking the square root of both sides, we have:

hypotenuse = sqrt(648)                                                                               Therefore, the length of the vertical stripe that runs from the top of the kite to its base is 648 inches.

The number of 5 digit numbers that can be formed is 3125

From the question, we have the following parameters that can be used in our computation:

Digits = 0, 1, 2, 3, 4

These digits can be repeated

So, we have

n = 5 i.e. the count of digits in 0, 1, 2, 3, 4

The number of 5 digit numbers  is then calculated as

Count = n⁵

So, we have

Count = 5⁵

Evaluate

Count = 3125

Hence, the count is 3125

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Answer:

x is greater than or equal to -4 but less than or equal to 4

Step-by-step explanation:

The "domain" is all of the x values on the line. But there are an infinite amount of x-values there, so it must be written as that.

Answer:

See below.

Step-by-step explanation:

The domain is simply the range of x-values the graph encompasses. From the given graph, we can see that the graph stretches from x=-4 to x=+4.

However, note that the graph does not include -4 since the point is an open circle. However, it does include +4 since the point is a closed circle. Therefore, the domain of this graph is:

In interval notation:

\((-4,4]\)

(Parenthesis on the left because -4 is not included. Brackets on the right because +4 is included.)

Answer:

A) f(x) = |x|

B) f(x) = -|x+3| + 3

Step-by-step explanation:

Absolute value functions

The general form of an absolute value function is f(x) = a|x-b| +c

a indicates the 'amplitude' or multiplier

b indicates horizontal shift

c indicates vertical shift

The turning point of f(x) = |x| is (0, 0)

a = y/x when b = 0 and c = 0

A) f(x) = |x|

Since the turning point is still (0, 0) there is no horizontal nor vertical shift, meaning b = 0 and c = 0

We have the point (2, 2), thus a = 2/2 = 1

f(x) = a|x-b| + c

f(x) = |x|

B) f(x) = -|x+3| + 3

The turning point is at (-3, 3) b = -3 and c = +3

We have the point (3, -3), thus a = y/x = -3/3 = -1

f(x) = a|x-b| + c

f(x) = (-1) (|x-(-3)|) + (+3)

f(x) = -|x+3| + 3

We use the First Isomorphism Theorem to show that K/(K ∩ N) is isomorphic to the image of φ, which is φ(K) = {kN | k is in K}. Since φ is a homomorphism, φ(K) is a subgroup of KN/N. Moreover, φ is onto, meaning that every element of KN/N is in the image of φ. Therefore, by the First Isomorphism Theorem, K/(K ∩ N) is isomorphic to KN/N, completing the proof of the Second Isomorphism Theorem.

To prove the Second Isomorphism Theorem, we need to show that K/(K ∩ N) is isomorphic to KN/N, where K is a subgroup of G and N is a normal subgroup of G.

First, we define a homomorphism φ: K → KN/N by φ(k) = kN, where kN is the coset of k in KN/N. We need to show that φ is well-defined, meaning that if k1 and k2 are in the same coset of K ∩ N, then φ(k1) = φ(k2). This is true because if k1 and k2 are in the same coset of K ∩ N, then k1n = k2 for some n in N. Then φ(k1) = k1N = k1nn⁻¹N = k2N = φ(k2), showing that φ is well-defined.

Next, we show that φ is a homomorphism. Let k1 and k2 be elements of K. Then φ(k1k2) = k1k2N = k1Nk2N = φ(k1)φ(k2), showing that φ is a homomorphism.

Now we show that the kernel of φ is K ∩ N. Let k be an element of K. Then φ(k) = kN = N if and only if k is in N. Therefore, k is in the kernel of φ if and only if k is in K ∩ N, showing that the kernel of φ is K ∩ N.

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The length of the longer diagonal of the given rhombus with side length 51units and shorter diagonal 48 units is equal to 90units.

As given in the question,

Side length of the given rhombus 's' = 51 units

Length of the shorter diagonal of given rhombus 'a' = 48 units

Let us consider length of the longer diagonal of the given rhombus be 'b'

As per the property of the rhombus:

Diagonals of the rhombus bisects each other at right angle

Triangle formed by side length bisecting diagonals is right angled triangle.

Using Pythagoras theorem we have,

(Side length)² = (a/2)² + (b/2)²

Substitute the values

⇒ (51)² = (48/2)² + (b/2)²

⇒2601 = 576 + (b/2)²

⇒(b/2)² = 2601 -576

⇒(b/2)² = 2025

⇒b/2 = √2025

⇒ b/2 =45

⇒ b = 90units

Therefore, the length of the longer diagonal of the given rhombus is equal to 90units.

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