PLEASE HELP
x + y = 90
a. Write the equation in slope-intercept form.
b. Graph the equation.
c. Use the graph to find the value of y if x = 30

Answer:

\(f = m \times a = 3 \times 6 = 18 \: n\)

A. In the alternate universe, the p subshell would have 5 orbitals.

B. In the alternate universe, the d subshell would have 10 orbitals.

In the alternate universe where the possible values of mℓ range from -l-1 to l+1, the number of orbitals in each subshell can be determined.

A. For the p subshell, the value of l is 1. Therefore, the range of mℓ would be -1, 0, and 1. Including the additional values of -2 and 2 from the alternate universe, the total number of orbitals in the p subshell would be 5 (mℓ = -2, -1, 0, 1, 2).

B. For the d subshell, the value of l is 2. In the conventional universe, the range of mℓ would be -2, -1, 0, 1, and 2, resulting in 5 orbitals. However, in the alternate universe, the range would extend to -3 and 3. Including these additional values, the total number of orbitals in the d subshell would be 10 (mℓ = -3, -2, -1, 0, 1, 2, 3).

Therefore, in the alternate universe, the p subshell would have 5 orbitals, and the d subshell would have 10 orbitals.

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Answer: The plane is 246.4 kilometres from Dryden (approximately)

Step-by-step explanation: Please refer to the picture attached for further details.

The pilot was meant to fly from Thunder Bay which is marked as point T to Dryden which is marked as point D. The distance is given as approximately 320 kilometres as shown.

However upon departure, the pilot goes off course at an angle of 20 degrees and flies for 80 kilometres. When he has traveled for exactly 80 kilometres, he would find himself at point P as shown in the diagram. The plane which is now at point P, is t kilometres from Dryden (point D). To calculate the distance t, we shall apply the cosine formula, having been given two sides and an angle between.

The cosine rule states as follows;

c² = a² + b² - 2abCosC

Substituting for the given variables in this question, the formula can be expressed as follows;

t² = d² + p² - 2dpCosT

Substituting for the known values, we now have,

t² = 80² + 320² - 2(80*320)Cos20

t² = 6400 + 102400 - 2(25600)0.9396

t² = 108800 - (51200) * 0.9396

t² = 108800 - 48107.52

t² = 60692.48

Add the square root sign to both sides of the equation

√t² = √60692.48

t = 246.3584

t ≈ 246.4

Therefore, the plane is approximately 246.4 kilometres from Dryden.

The correct option is c) Easier interpretation. One of the main advantages of simple models is their ease of interpretation. Simple models tend to have fewer parameters and less complex mathematical equations, making it easier to understand and interpret how the model is making predictions.

This interpretability can be valuable in various domains, such as medicine, finance, or legal systems, where it is important to have transparent and understandable decision-making processes.

Complex models, on the other hand, often involve intricate relationships and numerous parameters, which can make it challenging to comprehend the underlying reasoning behind their predictions. While complex models can sometimes offer higher accuracy or make more detailed predictions, they often sacrifice interpretability in the process.

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Answer:

118

Step-by-step explanation:

If angle A is 62 degrees, then angle D is 62 degrees. 62+62=124, and 360-124 is 236 (360 is the total interior angles of any quadrilateral). Then, 236/2=118. You divide it by two because you are looking for angles B and C separately.

Answer:

\(x+y\ge 80\)

Step-by-step explanation:

Given that,

Kristina has $400 to spend on shirts and gym shorts for a fundraiser for her schools soccer team.

Let he brought x t-shirts and y gym shorts.

ATQ,

She needs to buy a total of at least 80 items without buying too much of one item. The inequality that represents the above scenario is as follows :

\(x+y\ge 80\)

Hence, this is the required solution.

Answer: 0.25$ or a quarter

Step-by-step explanation:

Katlin bought 14 pencils, which cost her $3.50. So all you have to do is divide the amount ($) by the number of pencils.

3.50/14 = 0.25$

3.50 divided by 14

Each pencil cost a quarter

The probability of on- time arrival in class given that the subject is biology is 82.4%.

Given the following table relating to subject on tie assignment submission and on time arrival in class.

Subject              On time submission                    On time arrival

Physics                    89.7%                                             82.3%

Maths                       88.2%                                            88.7%

Chemistry                89.4%                                             83.1%

Biology                     90.1%                                              82.4%

Total                         88.5%                                             84.7%

We have to find the probability of on time arrival in class given that the subject is biology.

We have been given the corresponding percentages and percentages in itself shows some quantity. Percentage is the ratio of total favourable outcome to total outcome.

From the table the probability of on time arrival in class given that the subject is biology is 82.4%

Hence the probability of on- time arrival in class given that the subject is biology is 82.4%.

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Question is incomplete as it should includes the following table:

Subject              On time submission                    On time arrival

Physics                    89.7%                                             82.3%

Maths                       88.2%                                            88.7%

Chemistry                89.4%                                             83.1%

Biology                     90.1%                                              82.4%

Total                         88.5%                                             84.7%

Answer:

82.4%.

Step-by-step explanation:

Answer:

No solutions

Step-by-step explanation:

Therefore: a. The current ratio is approximately 1.68. b. The quick ratio is approximately 0.80. a. Current ratio times is approximately $6,229.68. b. Quick ratio times is approximately $2,968.00.

To calculate the current ratio and quick ratio for SDJ, Inc., we'll use the following formulas:

Current Ratio = Current Assets / Current Liabilities

Quick Ratio = (Current Assets - Inventory) / Current Liabilities

Given the information:

Net Working Capital = $3,710

Current Liabilities = $5,500

Inventory = $4,440

a. Current Ratio:

Current Assets = Net Working Capital + Current Liabilities

Current Assets = $3,710 + $5,500 = $9,210

Current Ratio = Current Assets / Current Liabilities

Current Ratio = $9,210 / $5,500

Current Ratio ≈ 1.68

b. Quick Ratio:

Quick Ratio = (Current Assets - Inventory) / Current Liabilities

Quick Ratio = ($9,210 - $4,440) / $5,500

Quick Ratio ≈ 0.80

a. Current ratio times:

Current Ratio times = Current Ratio * Net Working Capital

Current Ratio times = 1.68 * $3,710

Current Ratio times ≈ $6,229.68

b. Quick ratio times:

Quick Ratio times = Quick Ratio * Net Working Capital

Quick Ratio times = 0.80 * $3,710

Quick Ratio times ≈ $2,968.00

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Answer:

A single number that estimates the value of an unknown parameter is called a point estimate.

Step-by-step explanation:

Don't see the point (haha) of elaborating

Answer: 3f

Step-by-step explanation:

Answer:

Step-by-step explanation:

margin of error

Answer:

\(\bold{\frac{3}{16} }\)

Explanation:

1 / 16 (3)

= (1 / 16) (3 / 1)

= (1)(3) / (16)(1)

= 3 / 16

The equivalent expression for 1.5 cubed over 1.3 raised to the fourth power all raised to the power of negative six is 1.5 to the eighteenth power over 1.3 to the twenty-fourth power.

Here are the steps to simplify the expression:

Apply the negative power rule: (1.5 cubed over 1.3 raised to the fourth power) raised to the power of negative six is equal to (1.3 raised to the fourth power over 1.5 cubed) raised to the power of six.

Apply the power of a quotient rule: (1.3 raised to the fourth power over 1.5 cubed) raised to the power of six is equal to (1.3 raised to the fourth power)⁶ / (1.5 cubed)⁶.

Apply the power of a power rule: (1.3 raised to the fourth power)⁶ is equal to 1.3(⁴*⁶) = 1.3²⁴.

Apply the power of a power rule: (1.5 cubed)⁶ is equal to 1.5(³*⁶) = 1.5¹⁸.

Therefore, the equivalent expression is 1.5¹⁸ / 1.3²⁴.

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Answer:

7:9

Step-by-step explanation:

For very 9 gallons of paint, it needs 7 gallons of yellow.

The maximum value of f(x, y) = x3y4 for x, y on the unit circle is 1.

The unit circle is defined as the set of points on a plane that satisfy the equation x2 + y2 = 1. This means that the maximum value of f(x, y) = x3y4 on the unit circle can be found by substituting x2 + y2 = 1 into f(x, y) and solving for x3y4.

We can begin by writing the equation in the following form:

f(x, y) = x3y4 = (x2 + y2)4 = 1⁴ = 1

Therefore, the maximum value of f(x, y) = x3y4 for x, y on the unit circle is 1.

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Answer:

see below

Step-by-step explanation:

The graph is shifted to the RIGHT so it will be a   ' x-1'

and it is shifted UP 3 units  so:

Looks like    log3 (x-1) + 3

   at x = 4 the value of the graph is 4

            log3 (4-1) + 3 = 4    CHECK !

Michael needs to analyze the population data, demographics of the city, and the competition in the area to determine whether or not to open a new store.

Michael is trying to determine where to open two new store locations. He has population data to determine the amount of revenue he will receive for each location.

He is charged a $1000 fee for opening a new store at a certain location. However, he is unsure whether the population of the city would be large enough to warrant opening a new store at that location.

The first step that Michael needs to take is to analyze the population data that he has.

Based on the population data, he needs to make an informed decision about whether or not to open a new store at that location. This would require him to take into consideration the average income of the population as well as the demographics of the city.

Another important factor that Michael needs to take into consideration is the competition in the area. If there are already several stores in the area, then opening a new store might not be a good idea.

This is because the competition would be too high and he would not be able to generate enough revenue to make up for the cost of opening a new store.

However, if there are no stores in the area, then Michael might consider opening a new store. This would require him to invest a significant amount of money, but he could also generate a significant amount of revenue in return.

Additionally, he needs to take into consideration the cost of opening a new store and whether or not he can generate enough revenue to make up for that cost.

Overall, Michael needs to carefully analyze all the data that he has before making an informed decision about where to open new store locations.

In conclusion, Michael needs to analyze the population data, demographics of the city, and the competition in the area to determine whether or not to open a new store. If the population is large enough and there is no competition in the area, then he should consider opening a new store. However, if there is already a significant amount of competition in the area, then he should avoid opening a new store.

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There will be 60 workers demanded in sector A (Da) and 60 workers demanded in sector B (Db).

Workers don't care which sector they work in as long as the wage is the same.

Out of the total 100 workers, 60 will find a job in sector A, 60 will find a job in sector B, and there will be 20 workers who are unemployed due to the excess demand for labor.

Total labor supply (S):

The total labor supply is given as a constant value of 100 workers. So, we can plot a horizontal line at y = 100.

Labor demand in sector A (Da):

The labor demand in sector A is given by Da = 120 - Wa, where Wa represents the wage in sector A. Let's plot this demand curve.

When Wa = 0, Da = 120. So, one point on the graph is (0, 120).

When Wa = 120, Da = 0. So, another point is (120, 0).

Let us assume perfect information and mobility, the equilibrium wage (Wa = Wb) will be reached.

Let's denote this competitive equilibrium wage as W.

To find the combined demand for labor across all industries, we add the labor demands of sector A and sector B:

D = Da + Db

D = (120 - Wa) + (100 - Wb)

D = 220 - 2W

Therefore, the combined demand for labor across all industries is D = 220 - 2W.

Aggregate supply and demand are equal when the wage (W) is such that the combined demand for labor (D) equals the total labor supply (S), which is 100:

D = S

220 - 2W = 100

Solving for W:

W = 60

Therefore, the competitive equilibrium wage (W) is 60.

The number of workers unemployed can be calculated as the difference between the total labor supply (S) and the sum of workers demanded in sectors A and B:

Unemployed workers = S - (Da + Db)

Unemployed workers = 100 - (60+60)

= 100 - 120

Unemployed workers = -20

Since the number of unemployed workers cannot be negative, it means that there is an excess demand for labor.

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The worth of the factory is $97580.17.

Given data;

Cost of $460,000 for the factory. You project that it will bring in $150,000 in the first year, $210,000 in the second, and $360,000 in the third. The 12% discount rate applies.

To know the factory's worth;

Let,

\(NPV = \frac{C_0}{(1 + r)^0} + \frac{C_1}{(1 + r)^1} + \frac{C_2}{(1 + r)^2} + \frac{C_3}{(1 + r)^3}\)

Here,

C₀ = -460,000, C₁ = 150,000, C₂ = 210,000, C₃ = 360,000

\(NPV = \frac{-460,000}{(1 + 0.12)^0} + \frac{150,000}{(1 + 0.12)^1} + \frac{210,000}{(1 + 0.12)^2} + \frac{360,000}{(1 + 0.12)^3}\)

NPV = $97,580.17

Therefore, the factory's worth is $97580.17.

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Answer:

Yes, Rudy is correct

Explanation:

Number of sides of a hexagon = 6

The sum of all interior angles of a polygon with n sides  = (n-2)*180

Here, since a regular hexagon has 6 sides, n = 6

= (6 - 2)*180

= 4*180

= 720 degrees

Hope it helps :)

Have a great day!

Step-by-step explanation:

Given:

x=15

To solve:

Simplify the equation.

Substitute 15 into x:

-3(15) - y = -51

-45-y=-51

Switch the terms to find y:

-45+51=y

6=y

Solution:

y=6.

Answer:

(-8;7) ---> (8;7)

x changes sign. y stays with the same sign

............

Answer:

67

Step-by-step explanation:

(a) The units of Vf, the velocity vector of the ant, would be cm/s.

(b) The equation (6) = (-3, 4) within this problem represents the position of the ant at time t = 6 seconds, where the ant is located at coordinates (-3, 4) in centimeters.

(a) The units of Vf, the velocity vector of the ant, can be determined by considering the units of the given information. The position of the ant is given in centimeters (cm), and the time is given in seconds (s). Velocity is defined as the rate of change of position with respect to time. Therefore, the units of Vf would be the units of distance (cm) divided by the units of time (s), resulting in cm/s.

(b) The equation (6) = (-3, 4) within this problem corresponds to the position of the ant at a specific time, namely t = 6 seconds. The coordinates (-3, 4) indicate the position of the ant on the flat sheet of metal. The first coordinate (-3) represents the ant's horizontal position along the z-axis, while the second coordinate (4) represents the ant's vertical position along the y-axis. These coordinates are given in centimeters (cm).

Interpreting the position (6) = (-3, 4) in the context of the problem, we can understand that at t = 6 seconds, the ant is located at the coordinates (-3, 4) on the metal sheet, which indicates the specific position of the ant relative to the z and y axes. The units of the coordinates are in centimeters, representing the spatial location of the ant.

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Answer:

Step-by-step explanation:

We can use the formula for simple interest to calculate the principal amount that must be invested to earn $20 over four years at an interest rate of 5%:

I = P × r × t

where:

I = interest earned = $20

P = principal amount

r = interest rate per year = 5% = 0.05

t = time period in years = 4

Substituting the given values, we get:

$20 = P × 0.05 × 4

Simplifying and solving for P, we get:

P = $20 / (0.05 × 4) = $20 / 0.2 = $100

Therefore, a principal amount of $100 must be invested to earn $20 over four years at an interest rate of 5%