51^7 -51^6 by 25
__*25

Answer: length is 33ft

Step-by-step explanation:

Perimeter = length x2 + width x2 (add all sides of a rectangle)

width = 15ft

15 x 2 = 30 ft

86ft - 30 ft = 66 ft

66/2 = length of 1 side = 33 ft

Answer:

x = 2

Step-by-step explanation:

I just chucked it into Wolfram Alpha and it showed me x = 2

also for more proof, insert positive 2 in both x's

The lengths of the diagonals are:

GE = 8√5 units

DE = 4√5 Units

Area = 80 sq. units

We have been given an image of a kite on coordinate plane.

To find the length of GE we will use distance formula:

Distance = √[x₂ - x₁)² + (y₂ - y₁)²]

Substituting coordinates of point G and E in above formula we will get,  

GE = √[16 - 0)² + (8 - 0)²]

GE = √(256 + 64)

GE = √320

GE = 8√5 units

Similarly we will find the length of diagonal DF using distance formula.

DF = √[14 - 10)² + (2 - 10)²]

DE = √(16 + 64)

DE = √80

DE = 4√5 Units

Area of kite is given by the formula:

Area = (p * q)/2

where p and q are diagonals of kite.

Thus:

Area = ( 8√5 *  4√5)/2

Area = 80 sq. units

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Answer:

32 feet of fence

Step-by-step explanation:

The garden is a square, so the length and width are equal.

A = L x W

W = L

A = W²

A = 64

W² = 64

W = √64 = ±8 -- (-8) would be extraneous

W = 8 ft

L = 8ft

Since she is putting the fence around the garden, she needs to find the perimeter.

P = 2L + 2W

P = 2(8) + 2(8)

P = 16 + 16

P = 32 ft

32 feet of fence

Answer:

2

Step-by-step explanation:

given the difference of twice a number and one is three to find "number" let the number be x

2x - 1 =3

2x = 4

x= 2

thus the number is 2

Answer:

87 is the number

Step-by-step explanation:

Answer:

x=5.657 or because rouded 5.7

Step-by-step explanation:

ill give explaniation if want

Answer:

(I don't understand 36 sorry, but I can help you with 35)

C. 5.7 feet

Step-by-step explanation:

35. This question is asking you to use the pythagorean theorem, this is the formula:

a² + b² = c²

--------

So we know the lengths of a and b,

a² = 16

b² = 16

We add those together:

16 + 16 = 32

-------

The next step is to calculate \(\sqrt{32}\)

\(\sqrt{32}\) ≈ 5.7

------

Have a good day :)

Congruent triangles theorem: If two triangles are congruent, then their corresponding angles are equal. If triangle ABC and triangle DBE are congruent triangles, then angle ABC and angle DBE would be equal.

To determine which postulate or theorem can be used to prove that angle ABC equals angle DBE, we would need additional information about the given diagram or context. Without any specific details, it is not possible to identify a particular postulate or theorem to prove the equality of the two angles.

In geometry, there are various postulates and theorems that can be used to prove angle equality depending on the given information and geometric relationships. Some common postulates and theorems related to angle equality include:

Vertical angles theorem: Vertical angles are congruent. If angle ABC and angle DBE are vertical angles, then they would be equal.

Angle addition postulate: The measure of an angle formed by two adjacent angles is equal to the sum of the measures of the individual angles. If angle ABC and angle DBE are adjacent angles, and the measures of the other angles in the diagram are known, the angle addition postulate could be used to prove their equality.

Corresponding angles theorem: If two parallel lines are intersected by a transversal, then corresponding angles are congruent. If angle ABC and angle DBE are corresponding angles formed by parallel lines and a transversal, then they would be equal.

Congruent triangles theorem: If two triangles are congruent, then their corresponding angles are equal. If triangle ABC and triangle DBE are congruent triangles, then angle ABC and angle DBE would be equal.

It's important to note that the specific postulate or theorem to be used for proving angle equality depends on the given information and the geometric relationships established in the given problem. Without more details, it is not possible to identify the exact postulate or theorem applicable to proving the equality of angle ABC and angle DBE.

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The cooler costs $27.99 after the rebate, including the cost of the soda, envelope, and stamp.

The cost of the cooler before the rebate = $32.99

The rebate amount = $5.00

Cost of soda =$6. 99

No' cans of soda = 24

The cost of the cooler after the rebate is = $32.99 - $5.00

The cost of the cooler  = $27.99

To calculate the total cost of the company, we need to add all the costs of products like soda, the cost of the envelope, and the cost of the stamp:

Total cost = Cost of the cooler after rebate + Cost of soda + Cost of envelope + Cost of stamp

Total cost = $27.99 + $6.99 + $0.20 + $0.41

Total cost = $35.59

Therefore, we can conclude that the cooler cost $27.99 after the rebate, including the cost of the soda, envelope, and stamp.

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Answer:

1. Transversal y intersects lines m and n; <1 ~= <2 (Given)

2. <1 ~= <3 (Vertical Angles Theorem)

3. <2 ~= <3 (Transitive Property of Congruence)

4. m || n (Converse of Alternate Interior Angles Theorem)

The expected value of the "Buy New" option is 724732.60.

Decision Tree:

To solve the given problem, the first step is to create a decision tree. The decision tree for the given problem is shown below:

Expected Value Calculation: The expected value of the "Buy New" option can be calculated using the following formula:

Expected Value = (Prob. of Prosperity * Payoff for Prosperity) + (Prob. of Recession * Payoff for Recession)

Substituting the given values in the above formula, we get:

Expected Value for "Buy New" = (0.7 * 1,035,332) + (0.3 * -150,000)Expected Value for "Buy New" = 724,732.60

Therefore, the expected value of the "Buy New" option is 724,732.60.

Conclusion:

To conclude, the decision tree is an effective tool used in decision making, especially when the consequences of different decisions are unclear. It helps individuals understand the costs and benefits of different choices and decide the best possible action based on their preferences and probabilities.

The expected value of the "Buy New" option is 724,732.60.

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Answer:

\( \frac{2}{35} \)

Step-by-step explanation:

\( \frac{ \binom{1}{1} }{ \binom{7}{1} } \times \frac{ \binom{2}{1} }{ \binom{5}{1} } = \frac{2}{35} \)

of course it can easily be simplified, but the logic is shown here!

first you have to draw 1 checker marble out of the seven marbles.

at the top is the ideal draw where you draw the one checker marble out of that one, and the bottom is all the options to draw 1 marble out of the 7 marbles.

3 is the prime number.

again, at the top you draw obe 3 out of the two, and the bottom is all the options to draw one out of the five numbers.

First, we have to acknowledge that the marble draw's outcome is independent from the card being drawn.  Because of this independence, we can multiply the two individual probabilities.

For the marble, there are 7 outcomes (7 marbles we could draw) and only 1 of which is checkered  We have a 1/7 chance of picking a checkered marble.

For the cards, there are 5 possible outcomes (5 cards we could drawa) and 2 are prime (there are two "3" cards).  We have a 2/5 chance of drawing a card with a prime number.

For the overall probability, since the two events are independent, we multiply the individual probabilities to find the overall probability:

   1/7 · 2/5 = 2/35

We have a 2/35 (about 5.714%) chance of drawing a checkered marble and then picking a card with a prime number.

In a plane, two circles can intersect in two points, one point, or no points. Coplanar circles that intersect in one point are called tangent circles. Coplanar circles that have a common center are called concentric circles.

The tangent of an angle in trigonometry is the ratio of the lengths of the adjacent side to the opposing side. In order for the value of the cosine function to not be 0, it is the ratio of the sine and cosine functions of an acute angle.

When two or more objects have the same center or axis, they are said to be concentric, coaxal, or coaxial in geometry. Concentric to one another (sharing the same center point) are circles, regular polygons, regular polyhedra, spheres, and cylinders.

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Inferential statistics involves using sample data to make inferences, predictions, or generalizations about a larger population, providing valuable insights and conclusions based on statistical analysis.

The term "inferential statistics" is associated with the task of making inferences or drawing conclusions about a population based on sample data.

In other words, it involves using sample data to make generalizations or predictions about a larger population.

Inferential statistics is concerned with analyzing and interpreting data in a way that allows us to make inferences about the population from which the data is collected.

It goes beyond simply describing the sample and aims to make broader statements or predictions about the population as a whole.

This branch of statistics utilizes various techniques and methodologies to draw conclusions from the sample data, such as hypothesis testing, confidence intervals, and regression analysis.

These techniques involve making assumptions about the underlying population and using statistical tools to estimate parameters, test hypotheses, or predict outcomes.

The goal of inferential statistics is to provide insights into the larger population based on a representative sample.

It allows researchers and analysts to generalize their findings beyond the specific sample and make informed decisions or predictions about the population as a whole.

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Answer:

5.5

Hope it helps!

Answer:

0.29

Step-by-step explanation:

12 divide by $3.48 is 0.29

Steve sold 58 tickets.

To solve the problem, we first set up equations based on the given information.

Let x represent the number of raffle tickets Tom sold.

Steve sold 16 more than twice the number of tickets Tom sold, which can be represented as 2x + 16.

The total number of tickets sold by both of them is 79, so we can write the equation:

x + (2x + 16) = 79

Combining like terms, we simplify the equation:

3x + 16 = 79

Next, we isolate the variable by subtracting 16 from both sides of the equation:

3x = 79 - 16

3x = 63

Finally, we solve for x by dividing both sides of the equation by 3:

x = 63 / 3

x = 21

Therefore, Tom sold 21 raffle tickets.

To find the number of tickets Steve sold, we substitute the value of x back into the equation:

2x + 16 = 2(21) + 16 = 42 + 16 = 58

Therefore, Steve sold 58 raffle tickets.

The explanation outlines the steps taken to solve the problem by setting up and solving equations to find the values of x and 2x + 16, representing the number of tickets Tom and Steve sold, respectively.

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Answer:

I believe x = -14.

I might be wrong

Step-by-step explanation:

Relative humidity tends to be highest during the early morning hours, shortly before sunrise.

To determine the Wet-Bulb Temperature (WBT) and Wet-Bulb Depression (WBD), we need the dry-bulb temperature (DBT) and relative humidity (RH) values.

The Wet-Bulb Temperature (WBT) is the lowest temperature that can be achieved by evaporating water into the air at constant pressure, while the Wet-Bulb Depression (WBD) is the difference between the dry-bulb temperature (DBT) and the wet-bulb temperature (WBT). These values are useful in determining the potential for evaporative cooling and assessing heat stress conditions.

Day 1: Air Temperature= 86°F and RH= 60%

To calculate the WBT and WBD for Day 1, we would need additional information such as the barometric pressure or the dew point temperature. Without these values, we cannot determine the specific WBT or WBD for this day.

Day 2: Air Temperature= 41°F and RH= 90%

Similarly, without the necessary additional information, we cannot calculate the WBT or WBD for Day 2.

Regarding your question about the point during the day with the lowest and highest outside relative humidity values, it is generally observed that the relative humidity tends to be highest during the early morning hours, shortly before sunrise. This is because the air temperature often reaches its lowest point overnight, and as the air cools, its capacity to hold moisture decreases, leading to higher relative humidity values.

Conversely, the outside relative humidity tends to be lowest during the late afternoon, typically around the hottest time of the day. As the air temperature rises, its capacity to hold moisture increases, resulting in lower relative humidity values.

It's important to note that these patterns can vary depending on the local climate, weather conditions, and geographical location. Other factors such as wind patterns and nearby bodies of water can also influence relative humidity throughout the day.

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Industry Analysis using five forces model which are Political, Economic, Social, Technological, Environmental, Legal. A strategic group map visually represents the competitive positioning of companies within an industry.

1. Industry Analysis using PESTEL Model:

The PESTEL analysis examines the external factors that impact an industry:

Political: Government regulations, stability, and policies affecting the industry.

Economic: Economic growth, inflation, exchange rates, and consumer purchasing power.

Social: Demographic trends, cultural factors, and consumer behavior.

Technological: Technological advancements, innovation, and automation in the industry.

Environmental: Environmental regulations, sustainability practices, and climate change impact.

Legal: Legal frameworks, industry-specific regulations, and intellectual property protection.

By conducting a PESTEL analysis, one can gain insights into the industry's overall environment, identify opportunities and threats, and understand the factors influencing its growth and competitiveness.

2. Strategic Group Map:

A strategic group map visually represents the competitive positioning of companies within an industry. It uses parameters to plot companies on an x and y axis, and the diameter of the circle represents their market share or another relevant metric.

Parameters for x-axis: Price range (e.g., low to high)

Parameters for y-axis: Product differentiation (e.g., basic to premium)

Diameter of the circle: Market share (e.g., small to large)

By plotting companies based on these parameters, the strategic group map helps identify market segments, competitive dynamics, and potential areas for differentiation or strategic alliances.

3. Reconstructed Vignette 5: Cost of Operation for GP (2019 and 2020):

In 2019, the cost of operation for the GP (General Practitioner) increased due to rising expenses such as rent, salaries, and medical supplies. This was influenced by factors such as inflation and increased demand for healthcare services.

In 2020, the COVID-19 pandemic significantly impacted the cost of operation for GPs. The costs surged due to additional expenses related to personal protective equipment (PPE), sanitation measures, and telehealth infrastructure. Simultaneously, some costs decreased as patient visits reduced temporarily.

The increased costs challenged GPs' profitability, especially for independent practitioners or smaller clinics with limited resources. Adapting to new operational requirements and investing in technology further added to the financial burden.

4. Agreement with the Idea in the Case:

As the case or specific idea isn't provided, it's challenging to agree or disagree without context. Please provide more information or details about the case or idea so that I can offer a justified answer based on logic or data.

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COMPLETE QUESTION - 1.Make an industry analysis using either PESTEL or Five forces model.

2. Prepare a strategic group map using updated information. Use three parameters-for x axis, for y axis and for the diameter of the circle.

3. Reconstruct Vignette 5: Cost of operation for GP. Make it for 2019 and 2020.

4. Do you agree with the idea described in the case? Justify your answer in brief (you may use logic or data in support of your answer).

Answer:

The value of a is 15.

Step-by-step explanation:

First, you have to find the total interior angles of the polygon using the formula, sum = (n-2)×180°, where n represents the number of sides :

sum = (n-2)×180°

sum = (5-2)×180°

sum = 540°

Given that the sum of the interior angle is 540° so in order to find the value of a, you have to add up all the angles in terms of a :

3a + 150 + 8a + 6a + 9a = 540

26a + 150 = 540

26a = 390

a = 390 ÷ 26

a = 15

This question finds congruent triangles. A similarity statement relating the 3 triangles is ABC-DAC-DBA.

From the triangle ABC-DAC-DBA, it has conditions that can be said to be congruent, because it has side lengths with patterned comparisons if the magnitudes are not the same.

The conditions for two congruent plane shapes, namely:

The above conditions also apply to congruent triangles.

Two triangles are congruent if they have:

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Answer:

42 yd²

Step-by-step explanation:

Area of a rectangle = width x length

lateral surface area is the area of the sides only

So the difference between the total surface area and the lateral surface area would be the surface area of the ceiling and floor (top and bottom).

area of floor and ceiling = 2(3.5 x 6) = 42 yd²

Or, we can calculate the total surface area and lateral surface area, then find the difference:

total surface area = 2(3.5 x 4.2) + 2(4.2 x 6) + 2(3.5 x 6) = 121.8 yd²

lateral surface area = 2(3.5 x 4.2) + 2(4.2 x 6) = 79.8 yd²

difference = 121.8 - 79.8 = 42 yd²

Answer: Intersection of A and B = 2

Step-by-step explanation:

Total cards = 52

Let A is the event of drawing a 6 from the deck, and B is the event of drawing a black playing card from the deck.

Total cards having 6 on them = 4

[There are 4 suits of two different colors red and black.]

Total  black playing card =26

Intersection of A and B = Black cards having 6 = 2

hence, Intersection of A and B = 2

Answer:

X=-7

Step-by-step explanation:

X*5-4=3(X*3+8)

5x-4=9x+24

-4=4x+24

-28=4x

-7=x

Step-by-step explanation:

both roots are square roots.

if we write the 2 or leave the base of the root blank, it both means square root.

so, we have

sqrt(15) / sqrt(3)

we can combine them into

sqrt(15/3) = sqrt(5) = 2.236067977...

The length of the guy wire to the nearest foot is 42 feet.

The pole 5 ft tall is used to support the guy wire for the tower, which runs from the tower to a metal stake in the ground.

The situations forms a right angle triangle.

Therefore, the length of the guy wire can be found as follows:

Using trigonometric ratios, we can find the angle the guy wire made with the ground.

tan ∅ = opposite / adjacent

tan ∅ = 5 / 15

∅ = tan ⁻¹ 1 / 3

∅ = 18.4349488057

∅ = 18.43°

Therefore, let's find the length of the guy wire using the angle.

cos 18.43° =  adjacent / hypotenuse

0.94871060813 = 40 / h

h = 40 / 0.94871060813

h = 42.162488395

Therefore,

length of the guy wire = 42 feet

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The main advantage of an independent measures design is that it reduces the risk of order or practice effects and minimizes the influence of individual differences between participant

An independent measures design, also known as a between-subjects design, is a type of research study in which different groups of participants are used for each condition being tested.

In other words, each participant is only exposed to one condition, and the data from each group is analyzed and compared to determine if there are any significant differences between the groups.

The main characteristics of an independent measures design are:

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Given the following polynomial:

You can follow the steps shown below in order to simplify it:

Step 1. Remember the Signs rules for multiplication:

Then, you can rewrite the expression as following:

Step 2. Now you must add the like terms (Remember that "like terms" are those terms whose variables are exponents are the same). Then, you get:

The answer is: