1. Given that ABCD is a rhombus with ∠DBC=49∘, what is ∠DAB?
A. 82 degrees
B. 90 degrees
C. 49 degrees
D. 98 degrees

2. In a rhombus FGHJ, m∠JKF=(3y+6)∘ and m∠KFG =(7y−14)∘. Find the value of y?
A. 20
B. 10
C. 8
D. 5

Answer:

Rotation of 90° (x, y) → ( ‐ y,  x )

Rotation of 180° (x, y) → ( ‐ x,  ‐ y )

Rotation of 270° (x, y) → ( y,  ‐ x )

idk 360...

distance between point A and B is = 10

Answer:WAIT HE IS TELLING THE TIME

Step-by-step explanation:

The company profile and goals are briefly mentioned in the company's mission statement. This statement encapsulates the essence of the organization, outlining its purpose, values, and objectives.

It serves as a guiding principle for the company's actions and decisions, providing a clear direction for employees, stakeholders, and customers. The mission statement typically highlights the company's core competencies, target market, and desired impact on society. It is often crafted to be concise, memorable, and inspirational, reflecting the company's vision for the future. By summarizing the company profile and goals, the mission statement acts as a compass, aligning all aspects of the organization towards a common purpose.

The mission statement is a concise declaration that captures the essence of the company's identity, values, and ambitions. It outlines the company's goals and aspirations in a brief and compelling manner. Typically, the statement includes key elements such as the company's core values, unique selling proposition, target audience, and desired impact on society. It communicates what the company aims to achieve and how it intends to make a difference in the world. The mission statement serves as a unifying force, providing a clear sense of direction and purpose to employees, stakeholders, and customers. It helps to define the company's profile by highlighting its distinctive attributes and long-term objectives.

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Graph fourth shows a system of equations with a solution at (2, -1) option fourth is correct.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

The question is incomplete.

The complete question is

Which graph shows a system of equations with a solution at (2,-1)?

The graph is in the picture, please refer to the attached picture.

As we can see in the graph there are two graphs of a function shown.

The first one is a parabola and the second one is a linear graph.

From the graph, the intersection point of the two groups is at (2, -1)

The intersection point is shown in graph fourth.

Thus, graph fourth shows a system of equations with a solution at (2, -1) option fourth is correct.

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Answer:

Graph 4

Step-by-step explanation:

Answer:

\(f(5)=9\)

Step-by-step explanation:

\(f(5)=2(5+3)-7=2(8)-7=16-7=9\)

Using line tangent, the approximation for f(2.1) is 3.95

Given,

The point (a, f(a)) is on the line tangent to the graph of y = f(x) at x = a, which has a slope of f'(a).

The equation be like;

y - f(a) / (x - a) = f'(a)

y = f'(a) (x - a) + f(a)

Using the provided data and a = 2, we can determine that the tangent line to the graph of y = f(x) at x = 2 has equation

y = f'(2) (x - 2) + f(2)

y = -1/2 (x - 2) + 4

To compute a "approximation of f(2.1) using the line tangent to the graph of f at x = 2," one must substitute x = 2.1 for f in the equation for the tangent line (2.1). You get 2.1 when you plug this in.

y = -1/2 (x - 2) + 4

y = -1/2 (2.1 - 2) + 4

y = -1/2 x 0.1 + 4

y = 3.95

That is,

The approximation for f(2.1) using line tangent is 3.95

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The expression which is equivalent to; six to the negative power of two as given in the task content is; 1 / 36.

It follows from the task content that the expression which is equivalent to six to the negative power of two is to be determined.

Since the given word phrase can be expressed as; 6^-²; it follows from the laws of indices that we have;

= (1 / 6)²

= 1² / 6²

= 1/36.

Ultimately, the equivalent expression is; 1 / 36.

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Answer:

7 cm and 49 cm²

Step-by-step explanation:

(a)

A square has 4 equal sides , then

28 cm ÷ 4 = 7 cm

The length of each side of the square is 7 cm

(b)

The area (A) of a square is

A = s² ( s is the side length ) , then

A = 7² = 49 cm²

Answer:

Step-by-step explanation:

Perimeter of square will be equal to the length of the  string

Perimeter of square = 28 cm

4*side = 28

Divide both sides by 4

Side = 28/4

Side = 7 cm

b) Area of square = side * side

                             = 7 * 7

                             =49 cm²

Answer:

The first blank is 4 next is x next is 15 next is 6 next is x next is 10.

Answer:

15 ; 4 ; 10 ; 6 ; same ; 2.5

Step-by-step explanation:

1) 15 because the initial height is a constant, so it can‘t be multiply for a variable

2) 4. The x represent the weeks and the growing of the plant depends on the weeks

3) 10 because the initial height is a constant

4) 6. The x represent the weeks and the growing of the plant depends on the weeks

5) same

6) we have to solve the equation

-  add at the two members -6x

4x + 15 -6x = 6x + 10 -6x

-2x + 15 = 10

- add at the two members -15

-2x + 15 - 15 = 10 - 15

-2x = -5

- divide the two members by -2

x = 5/2

x = 2,5

Answer:

a for the first and d for the second

Step-by-step explanation:

just did this

\(\qquad\qquad\huge\underline{{\sf Answer}}\)

Let's evaluate ~

\(\qquad \tt \dashrightarrow \:(6 \times 1000) + (1 \times 10) + (8 \times \frac{1}{1} ) + (9 \times \frac{1}{10} ) + \frac{4}{100} \)

\(\qquad \tt \dashrightarrow \:6000 + 10 + 8 + \frac{9}{10} + \frac{4}{100} \)

\(\qquad \tt \dashrightarrow \: \dfrac{600000 + 1000 + 800 + 90 + 4}{100} \)

\(\qquad \tt \dashrightarrow \: \dfrac{601894}{100} \)

or

\(\qquad \tt \dashrightarrow \:{6018.94}{} \)

Answer:

Annalise is correct because the outputs are closest when x = 1.35

Step-by-step explanation:

The solution to the equation 1/(x-1) = x² + 1 means the one x value that will make both sides equal. If we look at the table, notice how when x = 1.35, f(x) values are closest to each other for both equations, signifying that x = 1.35 is approximately the solution. Thus, Annalise is correct.

The situation represents a function and the domain and range will be [0, 8] and [0, 56].

From the information, the drive-in movie theater charges $7 per person and your vehicle can hold a maximum of eight people.

It should be noted that the appropriate function will be:

y = 7x

To fund the domain, we simony have to solve the equation for f(x( to determine the independent variable. In this case, the vehicle can have 8 people. The domain will be [0, 8].

The range will be:

[0, (7 × 8)]

= [0, 56].

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The rate of reaction can be calculated by measuring the change in absorbance over time using the Beer-Lambert Law and applying the formula R = ΔA / Δt.

In order to calculate the rate of reaction from absorbance and time, we need to use the Beer-Lambert Law and measure the absorbance of the reaction mixture at different time intervals.

The Beer-Lambert Law states that the absorbance of a substance is directly proportional to its concentration and the path length of the light through the substance. Mathematically, it can be expressed as:

A = εcl

Where:

To calculate the rate of reaction, we need to measure the absorbance of the reaction mixture at different time intervals. Let's say we have absorbance values A1 and A2 at times t1 and t2 respectively.

The change in absorbance (ΔA) can be calculated as:

ΔA = A2 - A1

The change in time (Δt) can be calculated as:

Δt = t2 - t1

The rate of reaction (R) can then be calculated as:

R = ΔA / Δt

This gives us the rate of reaction in units of absorbance per time (e.g., absorbance per minute or absorbance per second).

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The required steps to calculate the rate of reaction from absorbance and time have been explained.

To calculate the rate of reaction from absorbance and time data, follow these steps: Obtain absorbance readings (A) at specific time intervals during the reaction.

Determine the change in absorbance (∆A) by subtracting the initial absorbance from the final absorbance. Determine the change in time (∆t) between the initial and final time points.

Calculate the rate of reaction using the formula:

Rate = ∆A / ∆t

Adjust the rate if necessary by considering the path length (l) of the cuvette and the molar absorptivity (ɛ) of the reacting species, using the Beer-Lambert Law equation, A = ɛcl.

It's important to note that the compact solution still requires the necessary measurements and calculations. However, the key steps are outlined succinctly for your reference.

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The value of angle S is 53°

Exterior angle theorem states that the measure of an exterior angle of a triangle is equal to the sum of two remote interior angles.

With this theorem we can say that

7x+2 = 4x+13+19

collecting like terms

7x -4x = 13+19-2

3x = 30

divide both sides by 3

x = 30/3

x = 10

Since x = 10

angle S = 4x+13

angle S = 4(10) +13

= 40+13

= 53°

Therefore the measure of angle S is 53°

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An expression that is equivalent to 6x + 7 − 12 · 2 − (32+ 2) − x is 5x - 51.

To find an expression that is equivalent to 6x + 7 − 12 · 2 − (32+ 2) − x, we can simplify the expression by performing the multiplication and addition/subtraction operations in the correct order using the order of operations (PEMDAS).
First, we have 12 · 2, which equals 24. So, we can rewrite the expression as:
6x + 7 - 24 - (32 + 2) - x

Next, we have 32 + 2, which equals 34. So, we can rewrite the expression as:
6x + 7 - 24 - 34 - x
Now, we can combine the like terms of 6x and -x to get 5x. So, the expression becomes:
5x + 7 - 24 - 34
Simplifying further, we can combine the like terms of -24 and -34 to get -58. So, the expression becomes:
5x - 51

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Answer:

Horizontal

Step-by-step explanation:

Answer:

horizontal axis

Step-by-step explanation:

its a chart measured by x and y.

x meaning side to side and y meaning up or down.

and in any equation x makes y or usually y is defined by x.

Example: y = mx + b

so y = vertical and x = horizontal

Assuming question is:

3(0)= -2x+9

and we have to solve for x:

0 = -2x + 9

We take x to one side, so it becomes:

2x = 9

Now we divide by 2 on both sides:

2x/2 = 9/2

x = 9/2

The correct answer is:

the unit normal vector to the curve with vector equation \vec r \, (t) =<1^t,\ln(4/t^2), \, \ln(e/(t^4)) > r (t)=<1 t ,ln(4/t 2 ),ln(e/(t 4 ))> at the point where t=2t=2 is \vec n = <0,0,-1>

A unit normal vector is a normal vector with magnitude 1, and it points in the direction that is perpendicular to the tangent to the curve at a given point.

To determine the unit normal vector to a curve, it's important to find the tangent first and then find the normal. In this case, we're looking for the unit normal vector to the curve with the vector equation \vec r (t) =<1^t,\ln(4/t^2), \ln(e/(t^4)) > at the point where t = 2.

To find the unit normal vector to the curve with the vector equation \vec r (t) =<1^t,\ln(4/t^2), \ln(e/(t^4)) > at the point where t = 2, it is necessary to find the tangent to the curve and then find the normal. This is a crucial step in understanding the geometry of curves in 3D space.

To find the tangent to the curve, we'll differentiate the vector equation with respect to t and evaluate it at t = 2. The derivative of \vec r (t) is given by:

d\vec r/dt = <1, -2t^-3, -4e^-t^-4>

So the tangent to the curve at t = 2 is:

d\vec r/dt = <1, -2(2)^-3, -4e^-2^-4> = <1, 1.5, -1.648721>

Next, we'll find the normal to the tangent by taking the cross product of the tangent with a fixed vector, for example, the unit vector i = <1,0,0>. The cross product of two vectors results in a vector that is perpendicular to both of them.

The cross product of the tangent and the unit vector i is given by:

\vec T x \vec i = <1, 1.5, -1.648721> x <1,0,0> = <0,0,-1.5>

Since the magnitude of the normal is not 1, we'll normalize it by dividing it by its magnitude:

\vec n = \vec T x \vec i / ||\vec T x \vec i|| = <0,0,-1.5> / ||<0,0,-1.5>|| = <0,0,-1>

So the unit normal vector to the curve with the vector equation \vec r (t) =<1^t,\ln(4/t^2), \ln(e/(t^4)) > at the point where t = 2 is given by:

\vec n = <0,0,-1>

This is the unit normal vector that points in the direction that is perpendicular to the tangent to the curve at t = 2. The magnitude of 1 ensures that it's a unit vector and the direction points towards the normal direction.

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Answer:

5040 ways

Step-by-step explanation:

here we need to find the number of permutations of the 7 balls :

= 7!

= 7×6×5×4×3×2×1

= 5 040

The crucial element missing in this design is the control group. In order to effectively study the effect of weather on college students' study habits, it is important to have a control group.

A control group serves as a baseline for comparison and helps to isolate the effect of the independent variable, which in this case is the weather. By having a control group, the researcher can compare the study habits of students on sunny days (the experimental group) with those on other types of weather conditions or non-sunny days (the control group). This allows the researcher to determine whether the weather itself has a significant impact on the study habits of college students.

Without a control group, it becomes difficult to attribute any differences in study habits solely to the weather, as there may be other factors at play that could influence the students' behavior. Therefore, including a control group is crucial for a more rigorous and valid study design in this case.

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The crucial element missing in this design is the control group. In order to effectively study the effect of weather on college students' study habits, it is important to have a control group.

A control group serves as a baseline for comparison and helps to isolate the effect of the independent variable, which in this case is the weather. By having a control group, the researcher can compare the study habits of students on sunny days (the experimental group) with those on other types of weather conditions or non-sunny days (the control group). This allows the researcher to determine whether the weather itself has a significant impact on the study habits of college students.

Without a control group, it becomes difficult to attribute any differences in study habits solely to the weather, as there may be other factors at play that could influence the students' behavior. Therefore, including a control group is crucial for a more rigorous and valid study design in this case.

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To find the measure of angle QZX, we need to use the fact that the sum of the angles in a triangle is 180 degrees.

First, we can find the measure of angle ZWQ:

Angle WZQ + Angle WZX = 180 degrees

92 degrees + 63 degrees = 155 degrees

Therefore, angle ZWQ has a measure of 155 degrees.

Now, we can find the measure of angle QZX:

Angle ZWQ + Angle QZX = 180 degrees

155 degrees + Angle QZX = 180 degrees

Subtracting 155 from both sides, we get:

Angle QZX = 25 degrees

Therefore, the measure of angle QZX is 25 degrees.

Charmaine pays a monthly fee of a dollars for her phone service, and she pays an additional b cents per minute of use. The least she has been charged in a month is c dollars.

Solution:The least amount of charges that Charmaine paid in a month is c dollars. It is given that the monthly fee of Charmaine's phone service is a dollars. So, the amount charged per minute is given as (c - a) cents.

So, the least number of minutes she has used her phone in a month is c - a b cents. We can write this as an inequality as below: \(b(c - a) ≤ 100c\),

where 100c is the least amount of charges in dollars she paid in a month.

This can be simplified as:\(bc - ab ≤ 100c\)  --(1)

Solving for c, we get: c ≤ (100 × b)/(100 - b × a)   --(2)

From this, it is clear that c is positive if b × a < 100.

Therefore, we can say that the possible numbers of minutes Charmaine has used her phone in a month is c minutes such that: c ≤ (100 × b)/(100 - b × a),

if b × a < 100.

Since c represents the least amount of charges paid in a month, it must be a non-negative number.

Therefore, we can say that the possible numbers of minutes Charmaine has used her phone in a month is c minutes such that: c = ⌈(100 × b)/(100 - b × a)⌉, if b × a < 100.

Here, ⌈x⌉ represents the smallest integer that is greater than or equal to x.  Therefore, the possible numbers of minutes she has used her phone in a month are: c = ⌈(100 × b)/(100 - b × a)⌉ if b × a < 100.

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Answer:

12

Step-by-step explanation:

The computation of the size of the customers is shown below:

Here we find the greatest common divisor of the given numbers

96, 60, 84 ÷ 2

48, 30, 42  ÷ 2

24, 15, 21 ÷ 2

12, 15, 21 ÷ 2

6, 15, 21 ÷ 2

3, 15, 21  ÷ 3

1, 5, 7 ÷ 5

1, 1, 7 ÷ 7

1, 1, 1

By this there are three numbers i.e. 2, 2 and 3

So, the lease common denominator is

= 2 × 2 × 3

= 12

Answer:

Prakash is a pilot change into yes no question

According to the information, the volume of the cube would be 27cm³.

To calculate the volume of a cubic figure we must apply the following mathematical formula:

According to this information we only have to replace the values and obtain the result as shown below:

This multiplication can be done in several stages as shown below:

According to the above, we can establish that the volume of this figure is 27cm³.

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The sets of linearly independent vectors are A), C), and E).

To determine whether a set of vectors is linearly independent or not, we can form a matrix with the vectors as columns, and then row reduce the matrix to see if any rows of zeros are produced. If there are no rows of zeros, then the vectors are linearly independent; otherwise, they are linearly dependent.

A)

| 8 -1 |

| 1 -5 |

| -6 -4 |

Performing row operations, we get:

| 1 0 |

| 0 1 |

| 0 0 |

Since there are no rows of zeros, the vectors are linearly independent.

B)

| 9 -7 -8 |

| 3 5 6 |

| 0 0 0 |

Performing row operations, we get:

| 1 0 -1 |

| 0 1 1 |

| 0 0 0 |

Since there is a row of zeros, the vectors are linearly dependent.

C)

| -1 9 |

| -7 -1 |

Performing row operations, we get:

| 1 0 |

| 0 1 |

Since there are no rows of zeros, the vectors are linearly independent.

D)

| 2 -9 7 |

| 4 -2 -2 |

| 7 -3 -4 |

Performing row operations, we get:

| 1 0 1 |

| 0 1 -1 |

| 0 0 0 |

Since there is a row of zeros, the vectors are linearly dependent.

E)

| 7 -2 -4 |

| -9 -3 -6 |

Performing row operations, we get:

| 1 0 2 |

| 0 1 1 |

Since there are no rows of zeros, the vectors are linearly independent.

F)

| -4 4 |

| -6 6 |

Performing row operations, we get:

| 1 -1 |

| 0 0 |

Since there is a row of zeros, the vectors are linearly dependent.

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If the coefficient of determination is a positive value, then the correlation coefficient can be negative or positive, which means the value of the correlation coefficient is between -1 and +1. If the variable x increases, the variable y also increases, and if the variable x decreases, then the variable y also decreases.

The coefficient of determination is a statistical measurement which examines how differences in one variable can be explained by the difference in a second variable, when predicting the outcome of a given event. The coefficient of determination is a number between 0 and 1 that measures how well a statistical model predicts an outcome. This provides a measure of how well observed outcomes are replicated by the model, based on the proportion of total variation of outcomes explained by the model.

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Answer:

the 2 numbers are 38 and 24

Answer:

24 and 38

Step-by-step explanation:

If we assign the variables x and y to the two numbers we can set up two equations,

x+y = 62

x = y + 14

Substituting the second equation into the first,

(y+14)+y = 62

2y + 14 = 62

subtract 14 on both sides

2y = 48

divideboth sides by 2

y = 24

If y = 24, then x = 38 because x is 14 more than y.