Which expression can be used to find 7(-6 1/8)

HELPPPP QUICK

ED = 3.8(tan 40°) (option A)

ED = 3.8/tan 50° (option D)

opposite = side opposite the angle 40° = DE

hypotenuse = EF = 5

adjacent = DF = 3.8

Since we are looking for DE, we can apply the sine ratio (SOH) or the tangent ratio (TOA)

The options are in tan, so we would focus on this.

tan 40° = opposite/adjacent

tan 40° = ED/3.8

ED = 3.8(tan 40°) (option A)

Since we have 40 degree as angle F, it means the third angle is 50 degree. This because 90- 40 = 50°. The 50°is angle E.

Using the angle as 50°:

opposite becomes = 3.8 as this is the side facing 50°

adjacent = ED

tan 50° = opposite/ adjacent

tan 50°= 3.8/ED

ED = 3.8/tan 50° (option D)

Answer:

x≤  −96 /23

Step 1: Simplify both sides of the inequality.

Step 2: Subtract 1/8x from both sides.

Step 3: Subtract 12 from both sides.

Step 4: Multiply both sides by 8/23.

Therefore, options c and e are true regarding normal probability distribution with mean μ and standard deviation σ

To answer your question, let's briefly discuss each of the given options:
a. This statement is false. A normal probability distribution can have values beyond 4, depending on its mean and standard deviation.
b. This statement is false. Half of the normally distributed data falls below the mean, not necessarily 0.
c. This statement is true. In a normal distribution, the area to the left of one standard deviation below the mean is equal to the area to the right of one standard deviation above the mean.
d. This statement is false. A larger standard deviation results in a wider/spread-out curve, not a skinnier/tighter one.
e. This statement is true. When the standard deviation is 1 and the mean is 0, it is called the standard normal distribution.

Therefore, options c and e are true regarding normal probability distribution with mean μ and standard deviation σ.

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Answer:

um i am pretty sure it is c

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

3x - 9y = 9 → (1)

- 2x +2y = 8 ( subtract 2y from both sides )

- 2x = - 2y + 8 ( divide through by - 2 )

x = y - 4

substitute x = y - 4 into (1)

3(y - 4) - 9y = 9

3y - 12 - 9y = 9

- 6y - 12 = 9 ( add 12 to both sides )

- 6y = 21 ( divide both sides by - 6 )

y = \(\frac{21}{-6}\) = - \(\frac{7}{2}\)

The length of the other diagonal of the rhombus is 24 units.

A rhombus is a parallelogram with four equal sides. Since the sides of the rhombus are 12 units long, all the sides are equal in length. One of the angles of the rhombus measures 60 degrees.

In a rhombus, the diagonals bisect each other at right angles, dividing the rhombus into four congruent right-angled triangles. The angle between the two diagonals is 60 degrees, which means that each right-angled triangle in the rhombus has a 30-degree angle.

To find the length of the other diagonal, we can use trigonometry. In a right-angled triangle with a 30-degree angle, the ratio of the length of the side opposite the angle to the length of the hypotenuse is 1/2. In this case, the side opposite the 30-degree angle is half the length of the diagonal we are trying to find.

Let's denote the length of the other diagonal as "d". Using trigonometry, we can set up the following equation:

sin(30 degrees) = (d/2) / 12

Simplifying the equation, we have:

1/2 = (d/2) / 12

Cross-multiplying, we get:

d/2 = 12 * 1/2

d/2 = 6

Multiplying both sides by 2, we find:

d = 12

Therefore, the length of the other diagonal of the rhombus is 24 units.

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The perimeter of the rectangle, when the area is maximized, is approximately 24.63 units. Therefore, correct option is a.

To maximize the area of the rectangle inscribed in the parabola \(y^2 = 16x\), we need to find the dimensions of the rectangle. Since the side of the rectangle is along the latus rectum of the parabola, we know that the length of the rectangle is equal to the latus rectum.

The latus rectum of the parabola \(y^2 = 16x\) is given by the formula 4a, where "a" is the distance from the focus to the vertex of the parabola. In this case, the focus is located at (4a, 0).

To find "a," we can equate the equation of the parabola to the general equation of a parabola in vertex form: \(y^2 = 4a(x - h)\), where (h, k) is the vertex of the parabola.

Comparing the two equations, we get:

4a = 16

a = 4

Therefore, the latus rectum of the parabola is 4a = 4 * 4 = 16 units.

Since the length of the rectangle is equal to the latus rectum, we have length = 16 units.

Now, to find the width of the rectangle, we need to determine the corresponding y-coordinate on the parabola for the given x-coordinate of the latus rectum. The x-coordinate of the latus rectum is half the length, which is 16/2 = 8 units.

Substituting x = 8 into the equation of the parabola, we get:

\(y^2 = 16(8)\\y^2 = 128\\y = \sqrt{128} = 11.31\)

Therefore, the width of the rectangle is approximately 11.31 units.

The perimeter of the rectangle is given by the formula:

Perimeter = 2(length + width)

Plugging in the values, we have:

Perimeter = 2(16 + 11.31)

Perimeter ≈ 2(27.31)

Perimeter ≈ 54.62

Rounding the perimeter to two decimal places, we get approximately 54.62 units, which is equivalent to 24.63 units.

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Answer:

35

Step-by-step explanation:

1.8 * 15 = 27 total earning

27-20 = 7 profit

$ 7 profit  / $20 cost  = 0.35

0.35*100 = 35%

Answer:

$7,507

Step-by-step explanation:

2 triangular faces

1/2bh

10x15=150

2x150= 300

‘back’ face

7x20=140

‘front’ face

7x25= 175

‘bottom’ face

7x15= 105

total: 585m^2

Answer:

C (circumference) =2×π×r

we've got a 30-60-90 triangle

which means 9=d√3, d=5.19 exact inches

or ≈5.20 inches

d=2r, r=5.20÷2≈2.60 inches

C=2×3.14×2.60≈16.328

It will take the town 21 years 4 months to reach 4600 in population

a rate is a ratio that compares two different quantities which have different units. For example, if we say John types 50 words in a minute, then his rate of typing is 50 words per minute. The word "per" gives a clue that we are dealing with a rate.

initial population = 3000

population increase every year = 2.5% of 3000

which is 2.5/100 x 3000 = 75

let the time taken to reach 4600 be d

increment for d number of years = 75d

Total population after d years is 75d + 3000

so 75d + 3000 = 4600

75d = 4600  - 3000

75d = 1600

d = 1600/75

d = 21.33 years which is 21 years 4 months

In conclusion 21 years 4 months is the time taken for the ton tto get tto 4600

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The irreversible loss of an island from over 100 acres in size to less than 3 acres is an example of the irreversible nature of human change.

Human activity has lead to the change of Earth's climate in unimaginable ways over the last thousand years. Some of these changes are so significant that they are practically inevitable and irreversible.

Due to global warming, the planet's temperature is increasing gradually every year. This change in climate causes polar ice caps to melt and increases the water level.

Islands, which are pieces of land in between water bodies, are reducing in size due to this. The increased water level submerges some or all parts of an island. This is especially threatening for small islands.

This is not only dangerous for the human and wildlife population of these islands, but also for the general habitability. Due to frequent flooding, soil salinity increases and this makes it difficult to cultivate these islands.

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The total spending figures indicate that Joe's demand for pizza is elastic as his total spending decreases when the price decreases, suggesting he is responsive to price changes.

a. The demand curve for Joe's pizza can be plotted by using the equation Q = 30 - 2P, where Q represents the quantity of pizza consumed and P represents the price per slice.

On the graph, the vertical axis represents the price (P), and the horizontal axis represents the quantity (Q). The vertical intercept occurs when Q is 0, which corresponds to P = 15. The horizontal intercept occurs when P is 0, which corresponds to Q = 30.

b. The total spending on pizza at P = 5 is $100, and the total spending at P = 4 is $88. This information indicates that Joe's total spending decreases as the price of pizza decreases.

Based on this, we can infer that Joe's elasticity of demand for pizza between P = 5 and P = 4 is elastic. When the price decreases from $5 to $4, the total spending decreases, indicating that the demand is responsive to price changes.

c. When P = 9, we can substitute this value into the demand function to calculate the corresponding quantity: Q = 30 - 2(9) = 30 - 18 = 12. To calculate Joe's consumer surplus, we need to find the area of the triangle formed by the demand curve and the price line.

The consumer surplus is given by (1/2) ˣ  (9 - P) ˣ  Q = (1/2) ˣ (9 - 9) ˣ  12 = 0.d. If the price of pizza rises to $15 per slice, we can again substitute this value into the demand function to find the corresponding quantity: Q = 30 - 2(15) = 30 - 30 = 0.

Joe's consumer surplus at this new price would be zero since he is not consuming any pizza at that price, resulting in no surplus.

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Answer:

200.96

Step-by-step explanation:

Volume of cone=(1/3)*pi*r^2*h

Volume=(1/3)*pi*16*12=64*3.14=200.96

The function for the surface area of the closed box with a square base is \(S(x) = 4x^2 + 8xh\), where x represents the length of the side of the square base and h represents the height of the box. This function takes into account the areas of the square base and the four rectangular sides.

To determine the surface area function, we need to consider the different components of the box's surface. The box has a square base, so the area of each side of the base is \(x^2\). Since there are four sides to the base, the total area of the base is \(4x^2\). Additionally, there are four identical rectangular sides with dimensions x by h, resulting in a total area of 4xh.

Combining the areas of the base and the four sides, we have the surface area function \(S(x) = 4x^2 + 8xh\), which represents the total surface area of the closed box.

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Answer:

-2/8 or 1/4

Step-by-step explanation:

5/8-7/8, u sbtract the numerator then divide

subtract the numetrator=5-7=-2

divide= -2/8=-1/4

Rafe and Ashley used approximately 5353.2 square inches of canvas to make the lamp.

Let's call the length of the base rectangle "L" and the width "W." From the picture, we can see that the base rectangle measures 18 inches by 18 inches. Therefore, the area of one base rectangle is given by:

Area of a rectangle = Length × Width

Area of one base rectangle = L × W = 18 in × 18 in = 324 square inches

Since there are two identical base rectangles, the combined area of both rectangles is:

Total area of base rectangles = 2 × Area of one base rectangle = 2 × 324 square inches = 648 square inches

Let's calculate the perimeter of the base rectangle first:

Perimeter of a rectangle = 2 × (Length + Width)

Perimeter of the base rectangle = 2 × (18 in + 18 in) = 2 × 36 in = 72 inches

Now, the height of the triangular prism is given as 20.1 inches. Therefore, the area of each lateral face rectangle is given by:

Area of a rectangle = Length × Width

Area of one lateral face rectangle = Perimeter of base rectangle × Height = 72 in × 20.1 in = 1447.2 square inches

Since there are three identical lateral face rectangles, the combined area of all three rectangles is:

Total area of lateral face rectangles = 3 × Area of one lateral face rectangle = 3 × 1447.2 square inches = 4341.6 square inches

The height of the triangular face is the same as the height of the prism, given as 20.1 inches. Therefore, the area of each triangular face is given by:

Area of a triangle = (Base × Height) / 2

Area of one triangular face = (18 in × 20.1 in) / 2 = 181.8 square inches

Since there are two identical triangular faces, the combined area of both triangles is:

Total area of triangular faces = 2 × Area of one triangular face = 2 × 181.8 square inches = 363.6 square inches

Now, to find the total surface area of the lamp, we sum up the areas of all the faces:

Total surface area = Total area of base rectangles + Total area of lateral face rectangles + Total area of triangular faces

Total surface area = 648 square inches + 4341.6 square inches + 363.6 square inches

Total surface area = 5353.2 square inches

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Complete Question:

Marius and his dad build a lamp in the shape of a triangular prism, open on the top and bottom. How many square inches of canvas did Marius and his dad use to make the lamp?

The probability is P(A and B)= 0.082.  P(A or B) = 0.928. P(A|B) = 0.101.

A. We know that P(B|A) = P(A and B) / P(A), so we can rearrange to get P(A and B) = P(B|A) * P(A) = 0.41 * 0.2 = 0.082.

B. We can use the formula P(A or B) = P(A) + P(B) - P(A and B), and we already know P(A), P(B), and P(A and B), so we can substitute to get P(A or B) = 0.2 + 0.81 - 0.082 = 0.928.

C. We can use Bayes' theorem to find P(A|B). We know that P(B|A) = P(A and B) / P(A), so we can rearrange to get P(A and B) = P(B|A) * P(A). Then, using the formula for conditional probability, we have P(A|B) = P(A and B) / P(B) = (P(B|A) * P(A)) / P(B) = (0.41 * 0.2) / 0.81 = 0.101.

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Answer: 9

Step-by-step explanation:

Answer:

9!

Step-by-step explanation:

The theories provide valuable insights for organizations to consider when managing relationships with stakeholders, securing resources, reducing transaction costs, promoting stewardship, and making strategic decisions.

Board structure is influenced by various theories, including Stakeholder Theory, Resource Dependence Theory, Transaction Cost Theory, and Stewardship Theory. These theories provide insights into effective board composition and functioning.

Using the theories of Stakeholder Theory, Resource Dependence Theory, Transaction Cost Theory, and Stewardship Theory, here are five implications for board structure and their justifications based on these theories:

1. Stakeholder Theory: The board should include representatives from diverse stakeholder groups.

- Justification: Stakeholder Theory posits that organizations should consider the interests of all stakeholders. By including representatives from various stakeholder groups on the board, the organization can ensure that the perspectives and interests of different stakeholders are adequately represented and considered in decision-making processes.

2. Resource Dependence Theory: The board should establish and maintain external relationships with key resource providers.

- Justification: Resource Dependence Theory suggests that organizations depend on external resources to survive and thrive. To secure necessary resources, the board should actively develop and maintain relationships with key resource providers, such as suppliers, financiers, and strategic partners. This enables the organization to ensure a stable supply of resources and reduce dependence on a single source.

3. Transaction Cost Theory: The board should establish clear and transparent governance mechanisms and structures.

- Justification: Transaction Cost Theory emphasizes the importance of minimizing transaction costs in organizational arrangements. By establishing clear governance mechanisms and structures, such as formal policies, procedures, and decision-making frameworks, the board can reduce ambiguity, information asymmetry, and potential opportunistic behavior. This enhances transparency, accountability, and trust within the organization.

4. Stewardship Theory: The board should foster a collaborative and supportive culture among directors and executives.

- Justification: Stewardship Theory suggests that individuals are motivated to act in the best interests of the organization when they perceive themselves as stewards rather than mere agents. To cultivate a stewardship orientation, the board should promote a collaborative and supportive culture that encourages directors and executives to work together towards common goals. This facilitates information sharing, cooperation, and a sense of collective responsibility.

5. Stakeholder Theory: The board should incorporate stakeholder perspectives into strategic decision-making processes.

- Justification: Building upon Stakeholder Theory, the board should ensure that stakeholder perspectives are actively considered in strategic decision-making processes. By involving relevant stakeholders in discussions, conducting impact assessments, and considering their input, the board can make more informed and inclusive decisions. This helps to align organizational strategies with stakeholder interests and enhance long-term sustainability.

These implications reflect the integration of various theories into board structure considerations, aiming to address stakeholder interests, resource dependencies, transaction costs, and foster stewardship-oriented behavior within organizations.

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Answer:

x = 1

Step-by-step explanation:

Both equations can be set equal to each other since they are both equal to y:

\(x-10=-4x-5\\5x-10=-5\\5x=5\\x=1\)

equate both equations !

x - 10 = -4x - 5

5x - 10 = -5

5x = 5

x = 1

therefore x = 1

The volume of the fish tank is 2000 cubic centimeters, which is calculated by multiplying the length, width, and depth of the tank (25 x 10 x 8 = 2000).

The volume of a fish tank is an important piece of information to know when setting up a fish tank. To calculate the volume of a fish tank, you must multiply the length, width, and depth of the tank. In this example, the fish tank has a length of 25 centimeters, a width of 10 centimeters, and a depth of 8 centimeters. To calculate the volume of the fish tank, we would multiply these three measurements, 25 x 10 x 8 = 2000. This means that the fish tank has a volume of 2000 cubic centimeters. Knowing the volume of the fish tank is important for selecting the right type and size of filter, heater, and other equipment for the tank, as well as for selecting the right number and size of fish for the tank. Furthermore, it is necessary to know the volume of the tank when adding water and testing water parameters, such as pH and nitrate levels, as these readings are related to the size of the tank. Knowing the volume of a fish tank is essential for successful fish keeping.

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1.)  Probabilities range from 0 to 1, denoting impossibility and certainty, respectively.

2.) The sum of probabilities of all possible outcomes is equal to 1.

1.) Individual probabilities will always have values between 0 and 1. This property is known as the "probability bound." Probability is a measure of uncertainty or likelihood, and it is represented as a value between 0 and 1, inclusive.

A probability of 0 indicates impossibility or no chance of an event occurring, while a probability of 1 represents certainty or a guaranteed outcome.

Any probability value between 0 and 1 signifies varying degrees of likelihood, with values closer to 0 indicating lower chances and values closer to 1 indicating higher chances. In simple terms, probabilities cannot be negative or greater than 1.

2.) The sum of the probabilities of all individual outcomes must equal 1. This principle is known as the "probability mass" or the "law of total probability." When considering a set of mutually exclusive and exhaustive events, the sum of their individual probabilities must add up to 1.

Mutually exclusive events are events that cannot occur simultaneously, while exhaustive events are events that cover all possible outcomes. This property ensures that the total probability accounts for all possible outcomes and leaves no room for uncertainty or unaccounted possibilities.

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Answer:

x= 92 degrees

Y=44 degrees

Answer(6,0)

Step-by-step explanation:

the farthest point from the origin is (6, 0).

A pair of numbers called coordinates are used to locate a point or a form in a two-dimensional plane. The x-coordinate and the y-coordinate are two numbers that define a point's location on a 2D plane.

Given: Points(0,5), (1,2), (3,-4), (6,0) (-1,-2)

Origin = (0, 0).

Distance formula = √((x₂ - x₁)² + (y₂ - y₁)²)

Calculating for points (0, 5) and (0, 0).

= √((0)² + 5²)

= √25

= 5

Calculating for points (1, 2) and (0, 0).

= √(1² + 2²)

= √5

Calculating for points (3, -4) and (0, 0).

= √(3² + 4²)

= √25

= 5

Calculating for points (6, 0) and (0, 0).

= √6² + 0²

= 6

Calculating for points (-1, -2) and (0, 0).

= √(1² + 2²)

= √5

So, from 5,√5, 5, 6, and√5, 6 is the largest number.

Therefore, the farthest point from the origin is (6, 0).

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Approximately 304,657,600 Americans were there in July 2009 based on the estimated 2008 growth rate of 0.88%.

To find the approximate US population in July 2009, we need to apply the growth rate of 0.88% to the initial population in July 2008.

Convert the growth rate from percentage to decimal:

0.88% = 0.0088
Calculate the number of people added to the population in 2008: 302,000,000 * 0.0088 = 2,657,600
Add this number to the initial population to find the population in July 2009:

302,000,000 + 2,657,600 = 304,657,600.

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