Let f(x) = x² + 8x and g(x) = 7x-3. Perform the composition or operation indicated. (9) - 8) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. (G) (Simplify your answer. Type an integer or a simplified fraction.) B. The function is undefined. -8)= Find the values of a, b, and c for which the quadratic equation ax² + bx + c = 0 has the solutions 4 -√21 and 4 + √21. (Hint: Use the zero-product property in reverse.) a = b=, and c = (Type an integer or a simplified fraction.)

Answer:

x= 9.2 (nearest tenth)

Step-by-step explanation:

Please see the attached picture for the full solution.

Yes, this confidence interval provide evidence of an association between development of cancer and taking finasteride.

The likelihood that a parameter will fall between two values around the mean is shown by a confidence interval. Confidence intervals quantify how confident or uncertain a sampling technique is. An estimate's level of uncertainty is described by a confidence interval, which is a range of numbers. You have a 5% probability of being incorrect with a 95% confidence interval. You have a 10% probability of being incorrect with a 90% confidence interval. A 95% confidence interval is narrower than a 99% confidence interval (for example, plus or minus 4.5 percent instead of 3.5 percent).

Here,

Yes, this confidence interval shows a connection between using finasteride and a higher risk of developing cancer.

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If p > 5 is prime and p is divided by 10, then the remainders are 1, 3, 7, or 9

The given information, we know that p is a prime number greater than 5, and that p is divided by 10. This means that p must end in either 0 or 5. since those are the only digits that allow for a number to be divisible by 10.

However, we also know that p is prime, which means it cannot be divisible by any number other than 1 and itself. This rules out the possibility of p ending in 0. since any number ending in 0 is divisible by 10 (and therefore not prime).

Therefore, p must end in 5. This means that p can be written in the form:

p = 10n + 5

where n is some integer. Now, let's consider what happens when we divide p by 10:

p/10 = (10n + 5)/10 = n + 0.5

Since p/10 is not an integer (it has a decimal component of 0.5), we know that p cannot be evenly divided by 10. Therefore, when p is divided by 10, there must be a remainder.

To determine what possible remainders there could be, we can look at the possible values for the last digit of p. Since p ends in 5, the last digit can only be 1, 3, 7, or 9 (since these are the only digits that, when multiplied by 5 and added to 10n, result in a number ending in 5).

Therefore, if p > 5 is prime and p is divided by 10, the remainder must be either 1, 3, 7, or 9.

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Lohi Corp.'s expected capital gains yield over the next year is 0.48%.

To determine the price of lohi corp., we need to calculate the present value of its future dividends. First, we estimate that the company will skip the next three annual dividends. This means that we will start receiving dividends from the fourth year. The first dividend to be paid is $1.00, and subsequent dividends will grow at a constant rate of 6 percent per year. The required rate of return on lohi corp. is 14 percent per year. This is the rate of return that investors expect to earn from investing in the company.

To calculate the price of Lohi Corp., we need to use the dividend discount model (DDM). The DDM formula is:

Price = Dividend / (Required rate of return - Dividend growth rate)

In this case, we know that Lohi Corp. will skip its next three annual dividends and then resume paying a dividend of $1.00. The dividend growth rate is 6% per year, and the required rate of return is 14% per year.

First, let's calculate the present value of the future dividends:

PV = (1 / (1 + Required rate of return))^1 + (1 / (1 + Required rate of return))^2 + (1 / (1 + Required rate of return))^3

PV = (1 / (1 + 0.14))^1 + (1 / (1 + 0.14))^2 + (1 / (1 + 0.14))^3

PV = 0.877 + 0.769 + 0.675

PV = 2.321

Next, let's calculate the price:

Price = (Dividend / (Required rate of return - Dividend growth rate)) + PV

Price = (1 / (0.14 - 0.06)) + 2.321

Price = (1 / 0.08) + 2.321

Price = 12.5

Therefore, the price of Lohi Corp. should be $12.50.

To calculate the expected capital gains yield over the next year, we need to use the formula:

Capital gains yield = (Dividend growth rate) / (Price)

Capital gins yield = 0.06 / 12.5

Capital gains yield = 0.0048

Convert to percentage:

Capital gains yield = 0.0048 * 100

Capital gains yield = 0.48%

Therefore, Lohi Corp.'s expected capital gains yield over the next year is 0.48%.

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Lohi Corp.'s expected capital gains yield over the next year is 0.48%.

To determine the price of lohi corp., we need to calculate the present value of its future dividends. First, we estimate that the company will skip the next three annual dividends. This means that we will start receiving dividends from the fourth year. The first dividend to be paid is $1.00, and subsequent dividends will grow at a constant rate of 6 percent per year. The required rate of return on lohi corp. is 14 percent per year. This is the rate of return that investors expect to earn from investing in the company.

To calculate the price of Lohi Corp., we need to use the dividend discount model (DDM). The DDM formula is:

\(Price = Dividend / (Required rate of return - Dividend growth rate)\)

In this case, we know that Lohi Corp. will skip its next three annual dividends and then resume paying a dividend of $1.00. The dividend growth rate is 6% per year, and the required rate of return is 14% per year.

First, let's calculate the present value of the future dividends:

\(PV = (1 / (1 + Required rate of return))^1 + (1 / (1 + Required rate of return))^2 + (1 / (1 + Required rate of return))^3\)

\(PV = (1 / (1 + 0.14))^1 + (1 / (1 + 0.14))^2 + (1 / (1 + 0.14))^3\)

\(PV = 0.877 + 0.769 + 0.675\)

PV = 2.321

Next, let's calculate the price:

\(Price = (Dividend / (Required rate of return - Dividend growth rate)) + PV\)

\(Price = (1 / (0.14 - 0.06)) + 2.321\)

Price = (1 / 0.08) + 2.321

Price = 12.5

Therefore, the price of Lohi Corp. should be $12.50.

To calculate the expected capital gains yield over the next year, we need to use the formula:

\(Capital gains yield = (Dividend growth rate) / (Price)\)

\(Capital gins yied = 0.06 / 12.5\)

Capital gains yield = 0.0048

Convert to percentage:

Capital gains yield = 0.0048 * 100

Capital gains yield = 0.48%

Therefore, Lohi Corp.'s expected capital gains yield over the next year is 0.48%.

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Answer:

I hope it help............

To create a sign chart for the polynomial function F(x) = -(x+5)(x-2)(2x-4)(x-4)², we will examine the intervals defined by the critical points and the zeros of the function.

1. Determine the critical points  -

  - The critical points occur where the factors of the polynomial change sign.

  - The critical points are x = -5, x = 2, x = 4, and x = 4 (repeated).

2. Select test points within each interval  -

  - To evaluate the sign of the polynomial at each interval, we choose test points.

  - Common choices for test points include values less than the smallest critical point, between critical points, and greater than the largest critical point.

  - Let's choose test points  -  x = -6, x = 0, x = 3, and x = 5.

3. Evaluate the sign of the polynomial at each test point

  - Plug in the test points into the polynomial and determine the sign of the expression.

The sign chart for F(x) = -(x+5)(x-2)(2x-4)(x-4)² would look like this

Intervals              Test Point         Sign

-∞ to -5                  -6                    -

-5 to 2                   0                       +

2 to 4                    3                      -

4 to ∞                    5                      +

Note  - The signs in the "Sign" column indicate whether the polynomial is positive (+) or negative (-) in each interval. See the attached sign chart.

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Movement plays a crucial role in various aspects of our lives, including physical health, cognitive development, and emotional well-being.

Movement is essential for maintaining physical health and well-being. Regular physical activity helps to strengthen muscles and bones, improve cardiovascular fitness, and maintain a healthy weight. Engaging in activities such as walking, running, swimming, or cycling promotes the overall functioning of the body and reduces the risk of chronic diseases like heart disease, diabetes, and obesity.

Furthermore, movement has a significant impact on cognitive development. Physical activity stimulates the brain and enhances cognitive functions such as memory, attention, and problem-solving skills. Studies have shown that children who engage in regular physical activity tend to perform better academically and have improved cognitive abilities compared to those who lead sedentary lifestyles. Exercise increases blood flow and oxygenation to the brain, promoting neuroplasticity and the growth of new brain cells.

In addition to physical health and cognitive development, movement also plays a crucial role in emotional well-being. Exercise releases endorphins, which are neurotransmitters that help reduce stress and improve mood. Regular physical activity has been linked to lower rates of depression and anxiety, as it provides a natural boost to mental health. Engaging in activities that involve movement, such as dancing, yoga, or team sports, can also enhance social connections and promote a sense of belonging and self-confidence.

In conclusion, movement is vital for our overall well-being. It contributes to physical health, cognitive development, and emotional well-being. By incorporating regular physical activity into our daily routines, we can reap the numerous benefits associated with movement and lead healthier, more fulfilling lives.

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Answer:12.24 pounds

Step-by-step explanation:

this is how

Step-by-step explanation:

gusto ko lang magka points

Answer:

30=2*3*5, so it's 30

Step-by-step explanation:

15=3*5, so it's not 15

20=2*2*5, so it's not 20

30=2*3*5, so it's 30

57=19*3, so it's not 57

Answer:

2x=4

Step-by-step explanation:

As the hanger shows, if you are you add them together since the x's are in the same position, that x+x=2x and 2+2=4.

Answer:

Step-by-step explanation:

The area of the square wall = L² where;

L is the length of the wall.

Given

Area of the mosaic = 4000m²

Substitute into the formula and get L

4000 = L²

Square root both sides

√4000 = √L²

√4000 = L

Rearrange

L = √4000

L = 63.25m (to the nearest hundredth)

Answer:

Step-by-step explanation:

11.0

Answer:

What Is Economics?

Economics is a social science concerned with the production, distribution, and consumption of goods and services. It studies how individuals, businesses, governments, and nations make choices about how to allocate resources. Economics focuses on the actions of human beings, based on assumptions that humans act with rational behavior, seeking the most optimal level of benefit or utility. The building blocks of economics are the studies of labor and trade. Since there are many possible applications of human labor and many different ways to acquire resources, it is the task of economics to determine which methods yield the best results.

Economics can generally be broken down into macroeconomics, which concentrates on the behavior of the economy as a whole, and microeconomics, which focuses on individual people and businesses.

KEY TAKEAWAYS

Economics is the study of how people allocate scarce resources for production, distribution, and consumption, both individually and collectively.

Two major types of economics are microeconomics, which focuses on the behavior of individual consumers and producers, and macroeconomics, which examine overall economies on a regional, national, or international scale.

Economics is especially concerned with efficiency in production and exchange and uses models and assumptions to understand how to create incentives and policies that will maximize efficiency.

Economists formulate and publish numerous economic indicators, such as gross domestic product (GDP) and the Consumer Price Index (CPI).

Capitalism, socialism, and communism are types of economic systems.

Understanding Economics

Schools of Economic Theory

There are many competing, conflicting, or sometimes complementary theories and schools of thought within economics.

Economists employ many different methods of research from logical deduction to pure data mining. Economic theory often progresses through deductive processes, including mathematical logic, where the implications of specific human activities are considered in a "means-ends" framework. This type of economics deduces, for example, that it is more efficient for individuals or companies to specialize in specific types of labor and then trade for their other needs or wants, rather than trying to produce everything they need or want on their own. It also demonstrates trade is most efficient when coordinated through a medium of exchange, or money. Economic laws deduced in this way tend to be very general and not give specific results: they can say profits incentivize new competitors to enter a market, but not necessarily how many will do so. Still, they do provide key insights for understanding the behavior of financial markets, governments, economies—and human decisions behind these entities.  

Economic Indicators

Economic indicators are reports that detail a country's economic performance in a specific area. These reports are usually published periodically by governmental agencies or private organizations, and they often have a considerable effect on stocks, fixed income, and forex markets when they are released. They can also be very useful for investors to judge how economic conditions will move markets and to guide investment decisions.

Consumer Price Index (CPI)

The Consumer Price Index (CPI), also issued by the BLS, measures the level of retail price changes (the costs that consumers pay) and is the benchmark for measuring inflation. Using a basket that is representative of the goods and services in the economy, the CPI compares the price changes month after month and year after year.7  This report is one of the more important economic indicators available, and its release can increase volatility in equity, fixed income, and forex markets. Greater-than-expected price increases are considered a sign of inflation, which will likely cause the underlying currency to depreciate.

Feudalism

Later, as civilizations developed, economies based on production by social class emerged, such as feudalism and slavery. Slavery involved production by enslaved individuals who lacked personal freedom or rights and were treated as the property of their owner. Feudalism was a system where a class of nobility, known as lords, owned all of the lands and leased out small parcels to peasants to farm, with peasants handing over much of their production to the lord. In return, the lord offered the peasants relative safety and security, including a place to live and food to eat.

Socialism

Socialism is a form of cooperative production economy. Economic socialism is a system of production where there is limited or hybrid private ownership of the means of production (or other types of productive property) and a system of prices, profits, and losses is not the sole determinant used to establish who engages in production, what to produce and how to produce it. Segments of society band together to share these functions

True. solving quadratic equations by completing the square is a legitimate and commonly used technique in algebra.

This method involves transforming a quadratic equation into a super square form, that could then be effortlessly solved for the variable. The procedure entails including or subtracting a constant term to both sides of the equation to create a perfect rectangular trinomial.

Which may be factored right into a binomial squared. the solution can then be acquired with the aid of taking the square root of both sides and solving for the variable. completing the rectangular is a beneficial method for fixing quadratic equations that can't be factored the usage of other strategies, which includes the quadratic formula.

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Answer:

The difference is elevation is 457 feet.

Step-by-step explanation:

You simply add the two numbers together.

The first intersection of the geometric system generates two vertical angles of 70° and two vertical angles of 110° and the second intersection of the geometric system generates two vertical angles of 53° and two vertical angles of 127°.

In this question we have a geometric system generated by three lines, where two lines pass through the first lines and four angles are generated on each intersection. The measures of the missing angles can be found by the following concepts:

The first intersection of the geometric system generates two vertical angles of 70° and two vertical angles of 110° and the second intersection of the geometric system generates two vertical angles of 53° and two vertical angles of 127°.

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Answer:

19.375

Step-by-step explanation:

Answer:

Answer 1 is He is taller by 19.375 inches and question 2 answer is 8.808 kilometres left .

Step-by-step explanation:

The monthly expenditure of September for question 9 and 10 are respectively $107.91 and $19892.25

From the question, it is rather easy to figure out. We are given expenditures from May through August, September missing but we are also provided with the average expenditure.

We know that the average expenditure is given as

sum of expenditure of all the months / number of months

So, for number 9, we have

[(112.11 + 97.13 + 106.45 + 121.85 + x) / 5] = 109.09

(437.54 + x) / 5 = 109.09....... if we cross multiply

437.54 + x = 109.09 * 5

437.54 + x = 545.45

x = 545.45 - 437.54

x = 107.91

And for number 10, we have

[(23687.12 + 19871.03 + 20056.90 + 24510.30 + y) / 5] = 21603.52

(88125.35 + y) / 5 = 21603.52......... if we cross multiply

88125.35 + y = 21603.52 * 5

88125.35 + y = 108017.6

y = 108017.6 - 88125.35

y = 19892.25

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Answer:

8000

Step-by-step explanation:

Answer: Therefore, the number 8272 rounded to the nearest thousand is 8000

Step-by-step explanation:

Answer:

The answer is 60

Step-by-step explanation:

Just trust me :)

Answer:

136 cm if it doesnt show it was for mine

Step-by-step explanation:

The formula for allocation deviation is as follows:σA = (w1σ1^2 + w2σ2^2 + … + wσn^2)^(1/2)σB = (w1σ1^2 + w2σ2^2 + … + wσn^2)^(1/2)

Here,

σ1 = 15%

σ2 = 10%

w1 = 50%,

w2 = 50%

Substituting the values in the above formula:

σA = (0.5 × 0.15^2 + 0.5 × 0.10^2)^(1/2)

= (0.0225 + 0.0100)^(1/2)

= 0.0158 = 1.58%σB

= (0.5 × 0.15^2 + 0.5 × 0.10^2)^(1/2)

= (0.0225 + 0.0100)^(1/2)

= 0.0158

= 1.58%

Hence, the correct option is

D. σ(A) = 14.14%;

σ(B) = 16.33%.

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Step-by-step explanation:

4+(3+2)2

4+(5)2

4+10

14

The correct option is 1, A conclusion that a linear model between the variable and age is appropriate is supported by the plot A only.

A mathematical representation of a linear connection between a dependent variable and one or more independent variables is called a linear model. It is presumptive that the variables have a linear connection, which means that when the independent variable varies, the dependent variable changes at a fixed pace.

Y = mx + b, where y is the dependent variable, x is the independent variable, m is the slope of the line, and b is the y-intercept, is the most basic form of a linear model. The y-intercept of the line reflects the value of the dependent variable when the independent variable is equal to zero, while the slope of the line shows the rate of change of the dependent variable with respect to the independent variable.

Linear models are widely used in many fields, including statistics, economics, engineering, and physics, to analyze and predict the behavior of systems that exhibit a linear relationship between variables. They can be used for simple predictions or as a building block for more complex models.

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Complete Question:-

A researcher studying koi fish collected data on three variables, A, B, and C. The following residual plots show the residual for a model for predicting each variable from the age of the fish.

A conclusion that a linear model between the variable and age is appropriate is supported by which plot or plots?

1.)A Only

2.)B Only

3.)C Only

4.)A and C only

5.)B and C only

Answer:

30 cm

Step-by-step explanation:

\(Vol. of a sphere (4/3) \pi r^3=36000 \pi \\r^3=36000*3/4=27000\\r=30 cm\\\)

Answer: the bench is 138.6 inches long

Yes, an angle in a right-angled triangle is always present.  Without any additional information about the triangle, it is impossible to determine the value of the angle in question.

In a right-angled triangle, one of the angles is a right angle, which measures 90 degrees. The other two angles in the triangle are acute angles and their measures always add up to 90 degrees.

To find the value of the angle in question, we need to know some additional information about the triangle. If we have the lengths of two sides of the triangle, we can use trigonometric ratios to find the measure of the angle.

For example, if we know the length of the side opposite the angle and the length of the hypotenuse (the longest side of the triangle), we can use the sine ratio to find the measure of the angle.

If we know the length of the side adjacent to the angle and the length of the hypotenuse, we can use the cosine ratio.

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Answer:

(PQ)2 + (QR)2 = (PR)2, because 9 + 16 = 25

Step-by-step explanation:

Answer:

(PQ)2 + (QR)2 = (PR)2, because 9 + 16 = 25

Step-by-step explanation:

Answer:

Step-by-step explanation:

The container that holds the water for the football team is 1/3 full.

After pouring in 12 gallons of water, it is 7/9 full.

Hence, the fraction of the water poured is

1/3 - 7/9

Lowest common denominator

= 9

3× 3 - 7 × 1/9

= 9 - 7/9

= 2/9

Hence, 2/9 = 12 gallons

How many gallons can the container hold?