PLEASE HELP WITH THIS IF YOU NNED MORE INFO TELL ME

Answer:

10.5

Step-by-step explanation:

Answer: The dividend yield is the annual dividend payment divided by the stock's current market price, expressed as a percentage.

Dividend yield = (Annual dividend payment / Stock's current market price) x 100%

In this case:

Annual dividend payment = $1.98

Stock's current market price = $41.68

Dividend yield = ($1.98 / $41.68) x 100% = 4.75%

Therefore, the dividend yield for AT&T is 4.75%.

Step-by-step explanation:

In the given problem, there are two values of k that make the equation an identity: k = -x + √(x² + 2) and k = -x - √(x² + 2).

To make the equation x² + 2x = (x + k)² - 1 an identity, we need to find the value of k that makes both sides of the equation equal for all values of x.

First, we can expand the right-hand side of the equation using the square of a binomial formula:

(x + k)² - 1 = x² + 2xk + k² - 1

Now we can set this expression equal to the left-hand side of the equation and simplify:

x² + 2xk + k² - 1 = x² + 2x

Subtracting x² and 2x from both sides, we get:

2xk + k² - 1 = 0

Adding 1 to both sides, we get:

2xk + k² = 1

Now we can solve for k by using the quadratic formula:

k = (-2x ± √(4x² + 8))/2

Simplifying the expression under the square root:

k = (-2x ± 2√(x² + 2))/2

k = -x ± √(x² + 2)

So, there are two values of k that make the equation an identity:

k = -x + √(x² + 2)

and

k = -x - √(x² + 2)

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If the rectangular "flower-garden" has area of 30 m², then dimensions of garden to minimize the combined area of garden and borders is length is √15 m and width is √60 m.

Th area of the rectangular garden is 30m²,

So, rectangular garden area is expressed using the equation

⇒ 30 = L×W, where L is length and W is width.

So, We can express "L", in terms of W, by equation,

⇒ L = 30/W.

We need to minimize the "combined-area" of garden and it's borders.

The equation for the combined area is ⇒ A = (L + 1)(W + 2).

We minimize area by first expressing the function in terms of "W", and then differentiate the function for "combined-area" and then equate the derivative to 0.

The dimension which satisfies the equation optimizes the combined area.

⇒ A = (L+1)×(W+2)

⇒ A = (30/W + 1)×(W + 2)

⇒ A = 30 + W + 60/W + 2

⇒A = 32 + W + 60/W,

Differentiating the area with the width,

We get,

⇒ dA/dW = 1 − 60/W²

⇒ 0 = 1 − 60/W²

⇒ 1 = 60/W²

⇒ W² = 60, ⇒ W = √60.

So, garden's width is √60 m and length "L" = 30√60 = √15 m.

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The given question is incomplete, the complete question is

A rectangular flower garden with an area of 30 m² is surrounded by a grass border 1 m wide on two sides and 2 m wide on the other two sides. What dimensions of the garden minimize the combined area of the garden and borders?

The result of simplifying {-2/3 - (-3/5) + 2/3 - 1/2} is 1/10 as a rational number.

In mathematics, rational numbers are numbers that can be expressed as a fraction or ratio of two integers, where the denominator is not zero. This means that a rational number can be written in the form p/q, where p and q are integers and q is not equal to zero. Examples of rational numbers include 2/3, 5/4, and -7/8. Rational numbers can be positive, negative, or zero, and they can be represented on a number line.

In the given question,

To solve this problem, we need to combine the like terms:

-2/3 - (-3/5) + 2/3 - 1/2

= -2/3 + 3/5 + 2/3 - 1/2 (since -(-3/5) becomes +3/5)

= (-2/3 + 2/3) + (3/5 - 1/2) (grouping the like terms together)

= 0 + (6/10 - 5/10) (since -2/3 + 2/3 = 0)

= 1/10

Therefore, the solution is 1/10.

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Answer:

A.) LGJ

Step-by-step explanation:

Helena experience similar temperatures during January due to their subarctic climate regime, but the moderating effect of the oceanic currents on Anchorage's climate makes its winters milder than those of Helena.

what is temperatures ?

"Temperatures" refers to the degree of hotness or coldness of a substance, usually measured in degrees Fahrenheit (°F) or Celsius (°C). In the context of the original question, "temperatures" refers to the measure of how hot or cold it is in a particular location, specifically in Anchorage and Helena.

In the given question,

Anchorage and Helena are both located in high latitude regions where the climate is dominated by polar or subarctic air masses. The prevailing westerly winds carry these cold air masses from the Arctic towards the continental interiors, affecting the climate of both Anchorage and Helena. Although Anchorage is located further north than Helena, it is situated along the coast of the Gulf of Alaska, which is influenced by the relatively warm oceanic currents such as the North Pacific Current and the Alaska Current. These currents help to moderate the cold air masses coming from the north, resulting in a maritime subarctic climate in Anchorage.

In contrast, Helena is situated in the interior region of Montana, which is far away from any major water bodies, leading to a continental subarctic climate with relatively colder and drier conditions compared to Anchorage. Therefore, despite their different latitudes, both Anchorage and Helena experience similar temperatures during January due to their subarctic climate regime, but the moderating effect of the oceanic currents on Anchorage's climate makes its winters milder than those of Helena.

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This level of granularity can be particularly useful when analyzing complex datasets or when trying to identify subtle relationships between variables.

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).

One advantage of being able to see each individual data point in a graph when comparing two data sets is that it allows for a more accurate and detailed analysis of the similarities and differences between the two sets. By examining the distribution and spread of the data points, it is possible to identify patterns and trends that may not be immediately apparent from a simple comparison of summary statistics, such as means or medians.

Additionally, by seeing each individual data point, it becomes possible to detect outliers or anomalies that may be skewing the data, which can lead to more informed decision-making and a deeper understanding of the underlying trends and patterns in the data. This level of granularity can be particularly useful when analyzing complex datasets or when trying to identify subtle relationships between variables.

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I would perform the ANOVA test (choice 1 of 4).

I would perform the ANOVA test (choice 1 of 4). The ANOVA test is used to test the null hypothesis that the means of all groups are equal, and if the test results in a significant p-value, it suggests that at least one of the group means is significantly different from the others.

Tukey's HSD test (choice 2 of 4) is a post-hoc test that can be used after an ANOVA test to determine which specific groups differ significantly from each other.

The Wilcoxon rank-sum test (choice 3 of 4) is a non-parametric test used to compare the medians of two independent groups.

The Wilcoxon signed-rank test (choice 4 of 4) is a non-parametric test used to compare the medians of two related groups (i.e., paired or matched samples).

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Answer:

x = -5/9

Step-by-step explanation:

-2(8x - 5) + 2x = 4(x + 5)

-16x + 10 + 2x = 4x + 20

-16x + 2x + 10 = 4x + 20

-14x + 10 = 4x + 20

+14x        = +14x       (Add 14 to both sides)

10 = 18x + 20

-20 =       -20      (Subtract 20 from both sides)

-10  = 18x

18   =  18          (Divide by 18)

-10/18 = x

Simplified:

-5/9 = x

Answer:

Step-by-step explanation: Distribute -2 to the parenthasis, and 4 to the other parenthasis. two double negatives make a positive. Combine like terms. get the x and regular numbers on different sides of the equal sign, and divide to find the x=

-16x +10 +2x=4x+20

-14x+10=4x+20

-14x            -20

-10x= -10

/-10    /-10

x=1

2(x+4)

hope this helps!!!

To summarize, if the equation Hx = c is inconsistent for some c in ℝⁿ, the equation Hx = 0 is consistent because it always has at least one solution, x = 0.

If the equation Hx=c is inconsistent for some c in Rn, then it means that there is no solution for that particular value of c. However, this does not necessarily mean that the equation Hx=0 is also inconsistent. In fact, it is possible for Hx=0 to have a solution, even if Hx=c does not. This is because the equation Hx=0 represents a homogeneous system of linear equations, while Hx=c represents a non-homogeneous system. Homogeneous systems always have at least one solution (x=0), while non-homogeneous systems may or may not have a solution depending on the specific values of the constants involved.
If the equation Hx = c is inconsistent for some c in ℝⁿ, it means that there is no solution for that specific c value.

Now let's analyze the equation Hx = 0.
An equation is inconsistent if it has no solution. On the other hand, if an equation has at least one solution, it is considered consistent.
Since Hx = c is inconsistent for some c in ℝⁿ, it indicates that the rows of the matrix H do not span the entire space of ℝⁿ. In this case, the equation Hx = 0 will always have at least one solution (x = 0), making it a consistent equation. This is because when you substitute x = 0 into the equation Hx = 0, you get 0 = 0, which is always true.

Therefore, we cannot make any conclusions about the consistency of the equation Hx=0 based on the inconsistency of the equation Hx=c.

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True. The question states that ten families were randomly selected and their daily water usage (in gallons) before and after viewing a conservation video was recorded.

The sample mean difference was found to be 4.8 and the corresponding standard deviation 5.25, with differences

calculated as (before - after).

Assuming the data is normally distributed, the resulting 95% confidence interval is (1.04, 8.55).

Since the entire 95% confidence interval is positive (i.e., all values are greater than zero), this indicates that there is a

significant difference between water usage before and after viewing the conservation video.

This provides evidence to suggest that the conservation videos would be effective in reducing water use in the general population.

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At least 3 sets must be printed to be sure of having at least 3 identical subsets on the list.

We'll use the Pigeonhole Principle, which states that if there are n items to be placed into m containers, and n > m, then at least one container must hold more than one item.
In this case, we want at least 3 identical subsets.

Since a subset can either include an element or not, there are [tex]2^n[/tex] possible subsets for a set with n elements. To guarantee at least 3 identical subsets, we'll use the Pigeonhole Principle with n+1 as the number of sets (containers) and 3 as the number of subsets we want (items).
Start by finding the minimum number of elements (n) in a set that results in at least 3 identical subsets.
Apply the Pigeonhole Principle formula: n > m,

where n is the number of items (3 identical subsets) and m is the number of containers ([tex]2^n[/tex]  possible subsets).
Solve for n: 3 > [tex]2^n[/tex]
Increase n until the inequality is satisfied.

In this case, n = 2 works: 3 > [tex]2^2[/tex] (3 > 4).

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Answer:

[tex]y=-\dfrac{1}{4} x+2[/tex]

Step-by-step explanation:

We can create an equation for the pictured line using slope-intercept form:

[tex]y=mx+b[/tex],

where [tex]m[/tex] is the line's slope, and [tex]b[/tex] is the y-value at the line's y-intercept.

First, we can find the line's slope.

slope = rise / run = -1/4

Next, we can find the line's y-value at its y-intercept, which is the y-coordinate at the point when it touches the y-axis (vertical axis):

2

Finally, we can put these pieces of information together into slope-intercept form:

[tex]\bold{y=-\dfrac{1}{4} x+2}[/tex]

[3] Vertical

     ➜ These angles are opposite angles created by two intersecting lines. They are also congruent, another quality of vertical angles.

[4] Neither

     ➜ While these angles are "opposite" of each other, they are incongruent angles. Since the angles are not adjacent or vertical, they are neither.

An equation uses two operations is equal to C = n × p + T.

Relationship between variables is C represents total cost where as 'n × p' is cost of meal per person and T is additional cost.

Total cost of a meal at a restaurant is a function of the number of people and the price per dish.

Represent the variables as follows,

Let us use the variable 'C' to represent the total cost of the meal.

Let us use the variable 'n' to represent the number of people at the table.

Let us use the variable 'p' to represent the price per dish.

An equation that uses two operations, use multiplication and addition.

C = n × p + T

'n × p' represents the cost of the meal per person,

'T' represents any additional costs, such as taxes or tips.

By adding these two values together, total cost of the meal.

Relationship between the variables is as follows,

Total cost of the meal C is directly proportional to both the number of people n and the price per dish p.

Increase either n or p, total cost of the meal will increase proportionally.

For example,

Double number of people at the table n,

Total cost of meal C will also double,

Assuming price per dish p remains constant.

Similarly,

Double the price per dish p,

Total cost of the meal C will also double,

Assuming number of people at the table n remains constant.

Constant term T represents any additional costs.

That are independent of n and p, such as taxes or tips.

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Therefore, it is less expensive to have the electrician work for 6 hours, which would cost $440, compared to having them come back for 23 hour jobs, which would cost $3090.

An equation is a mathematical statement that shows the equality of two expressions. It usually consists of two sides separated by an equal sign (=). The expressions on both sides of the equal sign can include numbers, variables, and mathematical operations such as addition, subtraction, multiplication, and division.

Here,

To compare the cost of having the electrician work for 6 hours versus having them come back for 23 hour jobs, we need to calculate the total cost for each option.

If the electrician works for 6 hours, the total cost will be:

Total cost = House call fee + (Hourly rate x Number of hours worked)

Total cost = $50 + ($65 x 6)

Total cost = $50 + $390

Total cost = $440

If the electrician comes back for 23 hour jobs, the total cost will be:

Total cost = Number of jobs x (House call fee + Hourly rate x Number of hours per job)

Total cost = 2 x ($50 + ($65 x 23))

Total cost = 2 x ($50 + $1495)

Total cost = 2 x $1545

Total cost = $3090

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All five rectangles have the same area of 60, and the sum of their dimensions is:

2 + 30 + 4 + 15 + 6 + 10 + 8 + 7.5 + 10

Let the width of rectangle 1 be w1, the width of rectangle 2 be w2, and so on. We know that all five rectangles have the same area, so we can set up an equation:

[tex]w1 * l1 = w2 * l2 = w3 * l3 = w4 * l4 = w5 * l5[/tex]

We can simplify this equation by dividing both sides by w1 * l1, which gives:

[tex]1 = (w2 * l2) / (w1 * l1) = (w3 * l3) / (w1 * l1) = (w4 * l4) / (w1 * l1) = (w5 * l5) / (w1 * l1)[/tex]

Let's define a new variable x = w2 * l2 = w3 * l3 = w4 * l4 = w5 * l5. Then we have:

[tex]w1 * l1 = xw2 * l2 = xw3 * l3 = xw4 * l4 = xw5 * l5 = x[/tex]

Now we need to find the least possible value of w1 + l1 + w2 + l2 + w3 + l3 + w4 + l4 + w5 + l5. Since w1 * l1 = x, we can rewrite this as:

[tex]w1 + l1 + 4 * sqrt(x / w1) + 4 * sqrt(w1 / x)[/tex]

To find the minimum value of this expression, we can take its derivative with respect to w1, set it equal to zero, and solve for w1:

[tex]d/dw1 (w1 + l1 + 4 * sqrt(x / w1) + 4 * sqrt(w1 / x)) = 1 - 2 * sqrt(x) / w1^1.5 + 2 * sqrt(x) / w1^2.5 = 0[/tex]

Solving for w1, we get:

[tex]w1 = 2 * x^(1/4)[/tex]

Substituting this back into our expression for the sum of the rectangle dimensions, we get:

[tex]w1 + l1 + 4 * sqrt(x / w1) + 4 * sqrt(w1 / x) = 2 * x^(1/4) + 2 * x^(3/4) + 8 * (x / 2)^(1/4)[/tex]

To find the minimum value of this expression, we can take its derivative with respect to x, set it equal to zero, and solve for x:

[tex]d/dx (2 * x^(1/4) + 2 * x^(3/4) + 8 * (x / 2)^(1/4)) = 1/2 * x^(-3/4) + 3/2 * x^(1/4) + 2 / (2 * x)^(3/4) = 0[/tex]

Solving for x, we get:

x = 4

Therefore, the least possible value of w1 is:

w1 =[tex]2 * x^(1/4) = 2[/tex]

And the dimensions of the rectangles are:

Rectangle 1: 2 x 30

Rectangle 2: 4 x 15

Rectangle 3: 6 x 10

Rectangle 4: 8 x 7.5

Rectangle 5: 10 x 6

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The maximum number of non-overlapping regions into which a circle can be divided by 9 chords is 46.

The maximum number of non-overlapping regions that a circle can be divided into by n chords is given by the formula:

N = (n^2 + n + 2) / 2

Substituting n = 9 into the formula, we get:

N = (9^2 + 9 + 2) / 2

N = (81 + 9 + 2) / 2

N = 92 / 2

N = 46

Therefore, the maximum number of non-overlapping regions into which a circle can be divided by 9 chords is 46.

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The total surface area of the composite shape is 40.57 square m

The surface area of composite shapes can be found by breaking the composite shape down into simpler shapes and then finding the surface area of each individual shape.

Once the surface areas of all the individual shapes are found, they can be added together to find the total surface area of the composite shape.

Here, we have

Area = Area of rectangle + circle

So, we have

Area = 4 * 7 + 22/7 * (4/2)^2

Area = 40.57 square m

So, the area is 40.57 square m

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The red line on the graph may also include other lines that represent related data, such as the total amount of solid waste generated by all people in the United States per year, or the period of time in years being measured.

Red line on the graph represents the average amount of solid waste generated by each person in the United States per year.

The red line on the graph is a useful tool for understanding the impact of solid waste on the environment and society as a whole.

It helps us to identify areas where we can make changes to reduce waste and improve our overall environmental performance and serves as a reminder of the importance of responsible consumption and waste management practices.

Red line on the graph represents the average amount of solid waste generated by each person in the United States per year.

This is a key metric in measuring the environmental impact of waste production in the country.
The average amount of solid waste generated per person is an important figure because it provides a more accurate picture of individual behavior and consumption patterns.

It takes into account factors such as population growth, changes in household size, and shifts in lifestyle and consumption habits.

By tracking this metric over time, policymakers and environmental advocates can gain insight into trends and patterns in waste generation and identify opportunities for reducing waste and promoting sustainability.

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Answer:

distribute x as 3:

3²+10(3)+24

=63

Answer:

the angle of depression is approx 22 degrees

Step-by-step explanation:

Model drawn below to visualize

I represented the angle of depression as x

Since two side lengths are given, we can use tangent to find the angle of depression

tan x= 3/7.5

We then use inverse tangent to find the angle measure:

m<x=[tex]tan^{-1}[/tex](3/7.5)

m<x is approx 21.8 or 22 when rounded to the nearest degree

(when using tan, inverse tan, sin, cos, inv... use deg on calculator when finding angle of depression, solving triangles, etc.)

Answer:

add 2

Step-by-step explanation:

just adding 2

Based on the data provided in the table, the valid inferences are A, B and C, while inference D cannot be confirmed.

A conclusion that is logical, rational, and backed by solid reasoning, statistical analysis, or scientific principles is considered to be a valid inference when it is derived from the available facts or evidence. It should be founded on trustworthy and pertinent data and adhere to accepted rules of statistical or scientific reasoning.

In addition to being compatible with accepted theories, guiding principles, or previous research findings, a valid inference should take into account any constraints and potential sources of mistake in the data or evidence. In other terms, a valid inference is a plausible and convincing conclusion that may be reached using acceptable statistical or scientific techniques from the relevant information or evidence.

A. Valid: There are more students who spend at least 4 hours per week on homework than students who spend less than 4 hours per week on homework.

B. Valid: Approximately 11% of students in the school district spend at least 6 hours per week on homework, based on the "At least 6" category which has 28 students out of the total 250 students surveyed.

C. Valid: About 50% of students who spend less than 4 hours per week on homework spend less than 2 hours per week, based on the total number of students in the "Less than 2" and "2 to less than 4" categories compared to the total number of students in the "Less than 4" category.

D. Not valid: The table does not provide data specifically about students who spend at least 4 hours per week on homework and their hours of homework beyond 4 hours, so this inference cannot be made.

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The measure of the missing angle in the triangle is 30 degrees. Option 3

We have that there are six different trigonometric identities. they are;

Also note that the sum of the angles in a triangle is equal to 180 degrees.

The different trigonometric ratios of the identities are;

sin θ = opposite/hypotenuse

From the information given, we have;

Opposite = 15

Hypotenuse = 31

Substitute the values

sin x = 15/31

Divide the values

sin x = 0. 4839

Find the inverse sine

x = 30 degrees

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a. A central angle is: angle GFH; b. A major arc is: arc GJH; c. A minor arc is: arc GH.

d. measure of arc GJH = 265°; e. measure of angle GH = 95°

A major arc is an arc of a circle that measures greater than or equal to 180 degrees. It is sometimes called a large arc or a wide arc. If a circle has a central angle that measures more than 180 degrees, then the corresponding arc is a major arc.

On the other hand, a minor arc is an arc of a circle that measures less than 180 degrees. It is also called a small arc or a narrow arc. If a circle has a central angle that measures less than 180 degrees, then the corresponding arc is a minor arc.

Using the information given, we have:

a. A central angle in the figure given is: angle GFH.

b. A major arc in the figure given is: arc GJH.

c. A minor arc in the figure given is: arc GH.

d. measure of arc GJH = 360 - measure of arc GH

Measure of arc GH = measure of angle GFH = 95°

Therefore:

measure of arc GJH = 360 - 95 = 265°.

e. measure of angle GH = 95°

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