What is m∠B to the nearest tenth?

ACB is right angle triangle. The length of AC is 14.1 and the length of BC is 22.9.

Step-by-step explanation:

BQS=78

BQN=48

BQS+BQN=78+48=126

180-126=54°

NQS=54°

comfirm=BQN+BQS+NQS=180

48+78+54=180

Answer:

30°

Step-by-step explanation:

∠NQS + ∠BQN = ∠BQS

Knowing this information, we use the known measures to find ∠NQS

∠NQS + 48° = 78°

∠NQS = 78° - 48°

∠NQS = 30°

Thus, angle NQS is 30 degrees.

Hope this helps!

To solve this problem, we have to understand probability without replacement and consider the two events happening. The probability that both events occurs is 14%

To solve this problem, let's write down the data given;

Data;

But we are asked to calculate the probability that both times we pick both tickets, it would be a concert ticket.

Total number of tickets =

\(12 + 8 = 20\)

Let's proceed for the first event

\(P = \frac{8}{20}= \frac{2}{5}\)

The probability the second event occurs will be

\(P = \frac{7}{20}\)

The probability both events occur will be

\(P = P_a * P_b = \frac{2}{5} * \frac{7}{20} = \frac{7}{50} =0.14 = 14\%\)

The probability that both events occurs is 14%

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Developing a mathematical model to represent the growth of a population with a fixed percentage increase each year.

Verified the model's fit by comparing its predictions with actual population data.

Used Python, specifically the SymPy, pandas, and matplotlib libraries, to perform symbolic manipulation, tabular representation, and plotting.

These tools were chosen for their capabilities in mathematical modeling, data handling, and visualization.

To build a model for the fixed percentage approach, let's consider a scenario where we want to model the growth of a population over time.

Assume that the population grows at a fixed percentage rate each year. Here are the steps involved in building the model,

Problem Formulation

Clearly define the problem and the goal of the model.

Goal is to develop a mathematical model that represents the growth of a population with a fixed percentage increase each year.

Data Collection

Gather relevant data regarding the population growth.

This could include historical population data or any other relevant information .

That can be used to estimate the fixed percentage growth rate.

Model Development

To represent the fixed percentage growth, use an exponential growth model.

The general form of an exponential growth equation is,

P(t) = P₀ × \((1 + r)^t\)

where,

P(t) represents the population at time t

P₀ is the initial population

r is the fixed percentage growth rate

t is the time in years

Model Testing and Validation

To verify that our model fits the scenario, compare the model's predictions with the available data.

Assess the model's accuracy and reliability by calculating the error metrics such as RMSE, R-squared, or other appropriate measures.

Additionally, visually compare the model's predictions with the actual population data using plots.

Model Deployment and Analysis

Once the model is validated, use it to make predictions about future population growth based on the fixed percentage increase.

Analyze the model's behavior and make informed decisions regarding population planning or resource allocation.

To create the model, use Python and its libraries for symbolic manipulation, tabular representation, and plotting.

Specifically, use the SymPy library for symbolic manipulation, pandas for tabular representation, and matplotlib for plotting.

These tools are widely used, well-documented, and provide a comprehensive set of functionalities for mathematical modeling and analysis.

Let's create the model and analyze it step by step,

Problem Formulation

As stated above, our goal is to model the growth of a population with a fixed percentage increase each year.

Data Collection

For demonstration purposes, let's assume collected the following population data for the first five years,

Year Population

1         100

2         130

3         169

4         220

5         286

Model Development

Using the exponential growth equation, we can express our model as,

P(t) = P₀ × \((1 + r)^t\)

Model Testing and Validation

To validate the model, estimate the fixed percentage growth rate (r) using the available data

and then compare the model's predictions with the actual population values.

First, let's calculate the growth rate (r) using the population data.

Use the formula,

r = (P(t) / \(P_{0}^{(1/t)\) - 1

For the first year,

r₁ = (130 / 100)¹/¹ - 1

= 0.30

Similarly, calculate growth rate for subsequent years.

Using calculated growth rate, generate predictions for each year and compare them with the actual population data.

Model Deployment and Analysis

Deploy the model to make predictions for future population growth based on the fixed percentage increase.

Analyze the model's behavior over a longer time period and explore the implications of different growth rates.

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The above question is incomplete, the complete question is:

Subject: Mathematical Modeling Build a model for the fixed percentage approach (this can be your own made up model and scenario). Describe clearly the steps that are required to build the model, noting the five steps in the process. What steps are you taking to verify that your model fits the scenario? Build the model, describing clearly the steps in creating the model, using symbolic manipulation, tabular representations, plots, and text to describe the model. Also discuss the tools and techniques that you used to create the model, and why you chose these tools.

Answer:

C.) 630

Step-by-step explanation:

14x15=210

210x3=630

See attachment for answer and math work.

Answer:

Last one is correct

Step-by-step explanation:

Louis total distance of 8/5 km. Louis rose his bicycle a total distance of 8/5 km.

Louis rose his bicycle a total distance of 1/2 km + 3/4 km + 7/10 km.

To find the total distance, we need to find a common denominator for the fractions: 2, 4, and 10.

The least common denominator is 20.

So, 1/2 km can be written as 10/20 km, 3/4 km can be written as 15/20 km, and 7/10 km remains the same.

Adding these fractions together, we have:

10/20 km + 15/20 km + 7/10 km = 32/20 km

Simplifying this fraction, we get:

32/20 km = 8/5 km

Therefore, Louis rose a total distance of 8/5 km.

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Louis rode a total distance of 8/5 km or 1 and 3/5 km

Louis rode his bicycle a total of 1/2 km to school, 3/4 km to a ball field, and 7/10 km back home. To find the total distance Louis traveled, we need to add up these three distances.

First, let's add 1/2 km and 3/4 km. To add fractions with different denominators, we need to find a common denominator. The least common multiple of 2 and 4 is 4.

Converting 1/2 to have a denominator of 4, we get 2/4. Now we can add 2/4 + 3/4, which equals 5/4.

Next, we need to add 5/4 km and 7/10 km. To add fractions with different denominators, we need to find a common denominator. The least common multiple of 4 and 10 is 20.

Converting 5/4 to have a denominator of 20, we get 25/20. Now we can add 25/20 + 7/10, which equals 32/20.

To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 4. Dividing 32/4 and 20/4, we get 8/5.

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Profitability index is 1.387. Thus, the correct option is (c) 1.387.

The formula for calculating the profitability index is:

P.I = PV of Future Cash Flows / Initial Investment

Where,

P.I is the profitability index

PV is the present value of future cash flows

The initial investment in the project is $30 million. The cash flow at the end of the first year is $2.85 million.

The present value of cash flows can be calculated using the formula:

PV = CF / (1 + r)ⁿ

Where,

PV is the present value of cash flows

CF is the cash flow in the given period

r is the discount rate

n is the number of periods

For the first-year cash flow, n = 1, CF = $2.85 million, and r = 11%.

Substituting the values, we get:

PV = 2.85 / (1 + 0.11)¹ = $2.56 million

To calculate the present value of all future cash flows, we can use the formula:

PV = CF / (r - g)

Where,

PV is the present value of cash flows

CF is the cash flow in the given period

r is the discount rate

g is the constant growth rate

For the subsequent years, CF = $2.85 million, r = 11%, and g = 3.85%.

Substituting the values, we get:

PV = 2.85 / (0.11 - 0.0385) = $39.90 million

The total present value of cash flows is the sum of the present value of the first-year cash flow and the present value of all future cash flows.

PV of future cash flows = $39.90 million + $2.56 million = $42.46 million

Profitability index (P.I) = PV of future cash flows / Initial investment

= 42.46 / 30

= 1.387

Therefore, the correct option is (c) 1.387.

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Answer:

Vertical

Step-by-step explanation:

Hope it helps you in your learning process

The line of best fit through the points (-1,1),(2,1) and (5,2) is y=0.1429x+1.1429.

We are given that;

The points of line (-1,1),(2,1) and (5,2)

Now,

To find the line of best fit, you can use the least squares method, which minimizes the squared distance of each point from the line.

For your given points ((-1,1),(2,1)), and ((5,2)),

The equation of the line is:

y=0.1429x+1.1429

We can check this by plugging in the values of x and y from your points and see if they satisfy the equation. For example, for ((-1,1)), we have:

y=0.1429(−1)+1.1429

y=−0.1429+1.1429

y=1

Therefore, by the distance answer will be y=0.1429x+1.1429.

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Answer:

1 foot

Step-by-step explanation:

1 1/2 = 3/2

2/3*3/2 = 1

Answer:

1 foot of rope.

Step-by-step explanation:

For this problem, we need to find 2/3 of 1 ½. 1 ½ equals 3/2. Since the word "of" means multiply, we multiply 3/2 by 2/3. When we do this, we get 1. This means Paige needs 1 foot of rope. I hope this helps!

Answer:

how old are they im confused

Step-by-step explanation:

Answer:

where are the numbers

Answer:

1. 350

2. 50

Step-by-step explanation:

1. you can create an equation y = 50x + 200, plug in 3 you and you get  y = 350

2. it says it in the first problem

tip: when doing stuff on canvas, use a different device to look up answers, Canvas can track when you switch tabs

although it cant see where you go, it can still track how many times you left the website/app

The equation of the line tangent to the curve y + ex = 2exy at the point (0, 1) is y = x - 1. (Option C)

To find the equation of the tangent line, we need to first take the derivative of the given curve with respect to x using the product rule. Differentiating both sides with respect to x, we get:

y' + ex = 2ey + 2exy'

Solving for y', we get:

y' = (2ey - ex) / (1 - 2ex)

To find the slope of the tangent line at the point (0,1), we substitute x = 0 and y = 1 into the derivative we found:

y' = (2e - e0) / (1 - 2e0) = 2e / (1 - 2) = -2e

So, the slope of the tangent line at the point (0,1) is -2e. Now we can use the point-slope form of the equation of a line to find the equation of the tangent line:

y - 1 = -2e(x - 0)

Simplifying, we get:

y = -2ex + 1

Rearranging, we get:

y = x - 1

Therefore, the equation of the line tangent to the curve y + ex = 2exy at the point (0, 1) is y = x - 1.

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The amount credited from the partial payment made during the discount period is $1,470. The balance on the invoice after the partial payment was made is $1,530.

The payment terms "4/10n/45" indicate that a 4% discount is applicable if the payment is made within 10 days, and the full amount is due within 45 days. Marcus made a partial payment of $1,500 during the discount period.

To calculate the amount credited, we first determine the discount amount by multiplying the invoice amount ($3,000) by the discount percentage (4%). This gives us a discount of $120. Since Marcus made a partial payment of $1,500, we subtract the discount amount from the partial payment to find the credited amount. Therefore, $1,500 - $120 = $1,380. Rounded to the nearest cent, the amount credited is $1,380.

To calculate the balance on the invoice after the partial payment was made, we subtract the credited amount from the remaining balance. The remaining balance is the invoice amount ($3,000) minus the partial payment ($1,500), which equals $1,500. Subtracting the credited amount of $1,380 from this balance, we get $1,500 - $1,380 = $120. Rounded to the nearest cent, the balance on the invoice after the partial payment is $120.

In summary, the amount credited from the partial payment made during the discount period is $1,380, and the balance on the invoice after the partial payment was made is $120.

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The difference between 5 5/6 and 3 1/3 is 5/2. Option D.

To find the difference between 5 5/6 and 3 1/3, we need to subtract the two mixed numbers. Let's convert the mixed numbers to improper fractions for easier calculation.

5 5/6 = (6 * 5 + 5)/6 = 35/6

3 1/3 = (3 * 3 + 1)/3 = 10/3

Now, we can subtract the fractions:

35/6 - 10/3

To subtract fractions with different denominators, we need to find a common denominator. In this case, the least common multiple (LCM) of 6 and 3 is 6. So, let's convert both fractions to have a denominator of 6:

35/6 - 10/3 = (35/6) * (1/1) - (10/3) * (2/2) = 35/6 - 20/6 = (35 - 20)/6 = 15/6

The resulting fraction, 15/6, is not in its simplest form. We can simplify it by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 3:

15/6 = (15/3) / (6/3) = 5/2

Therefore, the difference between 5 5/6 and 3 1/3, in simplest form, is 5/2. Option D is correct.

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Answer:

Step-by-step explanation:

3x + 4x + x = 16

7x + x = 16

8x = 16

x = 16 : 8

x = 2

----------------------

3 × 2 + 4 × 2 + 2 = 16  (remember PEMDAS)

6 + 8 + 2 = 16

16 = 16

same value the answer is good

Answer: 306

Step-by-step explanation:

As the firm develops a specific sort of sensor and ships them in boxes of four, each sensor weighed 10 grams at first.

In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical phrase with two equal sides separated by an equal sign is called an equation. An example of an equation is 4 + 6 = 10.

Here,

Let's call the original weight of each sensor "w". The total weight of 4 sensors would be 4w.

With the new design, each sensor weighs 9 grams more, so each sensor weighs w + 9 grams. The total weight of 4 sensors is 76 grams, so we can write an equation:

4(w + 9) = 76

Expanding the left-hand side and solving for w, we have:

4w + 36 = 76

4w = 40

w = 10

So each sensor originally weighed 10 grams as company manufactures a special type of sensor, and packs them in boxes of 4 for shipment.

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When the polynomials 5x² + 25x - 29 divided by x + 6, we get the quotient = 5x - 5 and the remainder = 1.

Given a polynomial division.

Dividend = 5x² + 25x - 29

Divisor = x + 6

We have to divide this and find the respective quotient and the remainder.

We can divide using long division process.

Consider the first term of the dividend.

5x² = 5x × x

So the first term of the quotient is 5x.

5x (x + 6) = 5x² + 30x

The remainder in the first step is,

5x² + 25x - 29 - (5x² + 30x) = -5x - 29

Now, repeating the process,

-5x = -5 × x

The second terms of the quotient is -5.

-5 (x + 6) = -5x - 30

The remainder is,

-5x - 29 - (-5x - 30) = 1

This can't be divided further since there are no variables.

Hence the quotient is 5x - 5 and the remainder = 1.

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Answer:

(x – 9)(x² + 9x+81)

Step-by-step explanation:

The sum of cubes of a and b is given by:

a³ + b³ = (a + b)(a² - ab + b²)

While the difference of cubes is given as:

a³ - b³ = (a - b)(a² + ab + b²)

1) (x + 7)(x² – 7x + 14) = x³ -7x² + 14x + 7x² - 49x + 98

= x³ -35x + 98

2) (X + 8)(x² + 8x + 64) = x³ + 8x² + 64x + 8x² + 64x + 512

= x³ + 16x² + 128x + 8³

3)  (x – 9)(x² + 9x+81) = x³ + 9x² + 81x - 9x² - 81x - 729

= x³ - 9³

4) (X – 10)(x² – 10x + 100) = x³ - 10x² + 100x - 10x² + 100x - 1000

= x³ - 20x² + 200x - 10³

Answer:

In SI base units: 1 m2  SI unit: Square metre

Step-by-step explanation:

Area is the quantity that expresses the extent of a two-dimensional region, shape, or planar lamina, in the plane. Surface area is its analog on the two-dimensional surface of a three-dimensional object.

it requires a detailed analysis of multiple transactions and the preparation of journal entries. This type of task is better suited for an accounting professional who can thoroughly review the provided information and accurately apply the relevant accounting principles.

However, I can provide a general overview of the journal entries that may be required based on the information given:

January 1, 2020:

Debit: Investment in Kinman Company (40% of cash paid)

Credit: Cash (Amount paid for the acquisition)

Recording Equity in Earnings for 2020:

Debit: Investment in Kinman Company (40% of net loss)

Debit: Investment in Kinman Company (40% of other comprehensive loss)

Credit: Equity in Earnings of Kinman Company

December 31, 2020:

Debit: Investment in Kinman Company (40% of dividend received)

Credit: Dividend Income

January 1, 2021:

Debit: Investment in Kinman Company (40% of additional investment)

Credit: Cash

Recording Equity in Earnings for 2021:

Debit: Investment in Kinman Company (40% of net income)

Credit: Equity in Earnings of Kinman Company

December 31, 2021:

Debit: Investment in Kinman Company (40% of dividend received)

Credit: Dividend Income

Please note that the above entries are a general guideline and may not capture all the necessary transactions. It is advisable to consult with an accounting professional or refer to the specific accounting standards applicable in your jurisdiction for a more accurate and comprehensive answer.

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Answer:

\( {x}^{2} + {y}^{2} + 4x - 2y = - 1 \\ ( {x}^{2}+2\times2\times x + {2}^{2} ) - 4 + ({y}^{2} - 2 \times 1 \times y + {1}^{2} ) - 1 = - 1 \\ {(x + 2)}^{2} - 4 + {(y - 1)}^{2} - 1 = - 1 \\ {(x + 2)}^{2} + {(y - 1)}^{2} = 4\\ {(x + 2)}^{2} + {(y - 1)}^{2} = {( 2) }^{2} \)

Therefore, the centre of the circle is in ( -2, 1 )

and the radius of the circle is 2.

Formula used :-----

\( {(x - a)}^{2} + {(y - b)}^{2} = {r}^{2} \)

equation of the circle

where r is the radius of the circle.

Answer:

answer = 130 degree.

Step-by-step explanation:

I hope is correct.

Answer:

choice 2) angle DOC = 145 degrees

Step-by-step explanation:

angle ABD = 1/2(30 degree arc) = 15 degrees because of the inscribed angle theorem.

angle AOB = 180 - 20 - 15 = 145 degrees

angle DOC  = angle AOB because it is a vertical angle to 145 degrees.

To determine which pair of events are independent, we need to check if the probability of their intersection is equal to the product of their individual probabilities. If the two probabilities are equal, the events are independent; otherwise, they are dependent.

Using the probabilities given, we can calculate the probabilities of the individual events:

P(a) = 0.4

P(b) = 0.3

P(c) = 0.2

P(d) = 0.1

We can also calculate the probabilities of the intersections of the events:

P(a ∩ b) = 0.1

P(a ∩ c) = 0.1

P(a ∩ d) = 0.1

P(b ∩ c) = 0.05

P(b ∩ d) = 0.05

P(c ∩ d) = 0.01

Now, we can check the pairs of events for independence:

1. Events a and b:

P(a) * P(b) = 0.4 * 0.3 = 0.12

P(a ∩ b) = 0.1

Since P(a ∩ b) is not equal to P(a) * P(b), events a and b are dependent.

2. Events a and c:

P(a) * P(c) = 0.4 * 0.2 = 0.08

P(a ∩ c) = 0.1

Since P(a ∩ c) is greater than P(a) * P(c), events a and c are dependent.

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3. Events a and d:

P(a) * P(d) = 0.4 * 0.1 = 0.04

P(a ∩ d) = 0.1

Since P(a ∩ d) is greater than P(a) * P(d), events a and d are dependent.

4. Events b and c:

P(b) * P(c) = 0.3 * 0.2 = 0.06

P(b ∩ c) = 0.05

Since P(b ∩ c) is not equal to P(b) * P(c), events b and c are dependent.

5. Events b and d:

P(b) * P(d) = 0.3 * 0.1 = 0.03

P(b ∩ d) = 0.05

Since P(b ∩ d) is not equal to P(b) * P(d), events b and d are dependent.

6. Events c and d:

P(c) * P(d) = 0.2 * 0.1 = 0.02

P(c ∩ d) = 0.01

Since P(c ∩ d) is not equal to P(c) * P(d), events c and d are dependent.

Therefore, none of the pairs of events are independent.

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Step-by-step explanation:

total surface area =

2×(17×10 + 17×4 + 10×4)

= 2×(170+68+40)

= 2×(278)

= 556 cm² (B)

The factor which cause the population change in 1/2 hour is "multiply by approximately 2.236" or "increase by a factor of approximately 2.236."

The bacteria population is growing exponentially at a rate of 5 per hour.

Therefore, in half an hour, the population would increase by a factor of 5 raised to the power of 0.5 (since 1/2 hour is half of 1 hour).

This is equivalent to the square root of 5, which is approximately 2.236. So the population would increase by a factor of approximately 2.236 in half an hour.

This means that if the initial population was, say, 100 bacteria, then in half an hour it would be approximately 223.6 bacteria (i.e. 100 multiplied by 2.236).

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Answer:

7

Step-by-step explanation:

the y-intercept is found when x=0