Social cost is equal to Multiple choice question. private benefits plus external benefits. private benefits minus external costs. private costs minus external costs. private costs plus external costs.

The equation 9 + 4x = y given is a linear equation.

A linear equation is an equation with a leading degree of 1. An example of a linear equation is expressed as y = mx + b.

where

m is the slope

b is the intercept

Given the expression below
9 - -4x = y

9 + 4x = y

Swap sides

y = 4x + 9

Since the degree of the resulting equation has a leading degree of 1, hence the equation is a linear equation.

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We will prove two statements. First, every infinite decimal representing a rational number is recurring. Second, if a rational number is represented by a fraction in lowest terms as a/b, then the number of recurring digits in its decimal representation is less than b.

Statement 1: Every infinite decimal representing a rational number is recurring. Let's consider a rational number represented as a/b, where a and b are integers and b ≠ 0. The decimal representation of this rational number can be expressed as a quotient a/b in long division.

In long division, the remainder can have a maximum of b - 1 possible values because it ranges from 0 to b - 1. Since there are only b possible remainders, at least two remainders must be equal due to the pigeonhole principle. This means that at some point in the long division process, we encounter a repeated remainder. Once a repeated remainder is encountered, the long division process will continue in a repeating pattern. Therefore, the decimal representation becomes recurring, where the repeating pattern corresponds to the digits after the decimal point. Hence, every infinite decimal representing a rational number is recurring.

Statement 2: If a rational number is represented by a fraction in lowest terms as a/b, then the number of recurring digits in its decimal representation is less than b. Let's consider a rational number a/b in lowest terms, where a and b are integers and b ≠ 0. We know that the decimal representation of this rational number is recurring.

In the recurring part of the decimal representation, the repeating pattern can have a maximum length of b - 1. This is because if the repeating pattern has a length equal to or greater than b, we can simplify the fraction further, contradicting the assumption that it is in lowest terms. Therefore, the number of recurring digits in the decimal representation of a rational number a/b, in lowest terms, is less than b.

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Answer:

250.5 - 35m = 300 - 45.25m

Complete question:

Which equation can be used to find m, the number of months it will take for both accounts to have the same amount of money?

250.5 + 35m = 300 + 45.25m

250.5 – 35m = 300 – 45.25m

250.5m – 35 = 300m – 45.25

250.5m + 35 = 300m + 45.25

Step-by-step explanation:

For The International Business Club: y = 250.50 - 35m,  

For The Future Agricultural Leaders Club: y = 300 - 45.25m.

So the answer is 250.5 - 35m = 300 - 45.25m

250.5 – 35m = 300 – 45.25m

Explanation:
It's this one because the initial for international Business Club is $250.50 and their monthly spending is $35, and for Future Agricultural Leaders Club their initial is $300 and their monthly spending is $45.25

So, the equation would be 250.5 – 35m = 300 – 45.25m

Using the concepts of domain and range of functions, we have that:

10. The range is y ≥ 2.

11. The domain is all real numbers, the range is y ≤ 3, and it is a function.

12. The domain is (-4,3], and the range is (-5,5).

Hence, for these problems:

10. The range is y ≥ 2.

11. The domain is all real numbers, the range is y ≤ 3, and it is a function.

12. The domain is (-4,3], and the range is (-5,5).

In item 11, we have that it is a function because it has no vertically aligned points, that is, each value of x is associated with only one value of y.

In item 12, the open intervals are due to the open circles at the extremes of the domain and the range on the graph.

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like the place where you are applying TURNED TRIANGLE.

coz literrally it means that if the trianlge has for example angle a on its right side then we turn the triangle as a whole and make the turn such that angle a is anywhere else but not on our right side....

I believe the explanation is clear, if not do contact me

The amount to which $800 will grow under each of the given conditions increases as the compounding period decreases.

The amount to which $800 will grow under each of these conditions is as follows:a) 8% compounded annually for 9 years

When compounded annually for 9 years at 8%, the formula is: Amount = Principal x [(1 + rate/n)^(n*t)]

Where: Principal = $800 Rate = 8% Time = 9 years

Compounded annually = n = 1 Amount = $1,447.91 (rounded to the nearest cent)

b) 8% compounded semiannually for 9 years Compounded semiannually for 9 years at 8%, the formula is:

Amount = Principal x [(1 + rate/n)^(n*t)]

Where: Principal = $800 Rate = 8% Time = 9 years Compounded semiannually = n = 2 Amount = $1,471.16 (rounded to the nearest cent)

c)  8% compounded quarterly for 9 years Compounded quarterly for 9 years at 8%, the formula is:

Amount = Principal x [(1 + rate/n)^(n*t)]

Where: Principal = $800 Rate = 8% Time = 9 years Compounded quarterly = n = 4 Amount = $1,491.03 (rounded to the nearest cent)

d) 8% compounded monthly for 9 years Compounded monthly for 9 years at 8%, the formula is: Amount = Principal x [(1 + rate/n)^(n*t)]

Where: Principal = $800 Rate = 8% Time = 9 years Compounded monthly = n = 12 Amount = $1,505.91 (rounded to the nearest cent)

e) 8% compounded daily for 9 years Compounded daily for 9 years at 8%, the formula is:

Amount = Principal x [(1 + rate/n)^(n*t)]

Where: Principal = $800 Rate = 8% Time = 9 years Compounded daily = n = 365Amount = $1,511.74 (rounded to the nearest cent)

The observed pattern of FVs (future values) occurs due to compounding. Compounding is the process of earning interest not only on the principal amount invested but also on the interest earned from the principal. This results in an increase in the interest earned and the future value of the investment. The more frequent the compounding, the higher the future value of the investment. Hence, the amount to which $800 will grow under each of the given conditions increases as the compounding period decreases.

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The expression x + 80 represents the number of coins Arthur has now, since he x pennies and an additional 6 dimes and 4 nickels.

We shall convert the pennies, dimes and nickels into same unit before adding to get the expression for the number of coins Arthur will have in total.

A penny = 1 cent, so

x pennies = x cents

A dime = 10 cents so;

6 dimes = 6 × 10cents

6 dimes = 60 cents

A nickel = 5 cents so;

4 nickels = 4 × 5 cents

4 nickels = 20 cents

Arthur's coins in total = (x + 60 + 40) cents

Arthur's coins in total = (x + 80) cents.

Therefore, the expression expression x + 80 represents the number of coins Arthur will have in total, wether in pennies, dimes or nickels.

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Overall, as a result of these transactions, the U.S. firm would be importing Japanese goods. Here's how the process works:

1. The U.S. firm exchanges dollars for yen: In this step, the firm converts its U.S. dollars into Japanese yen by participating in the foreign exchange market. This allows the firm to obtain the necessary currency to conduct business in Japan.

2. The firm uses yen to buy Japanese goods: With the acquired yen, the U.S. firm can now purchase goods from Japanese suppliers. These goods can vary depending on the nature of the firm's business, but they could include anything from electronics to automobiles.

3. Implications of importing Japanese goods: By purchasing Japanese goods, the U.S. firm is participating in international trade and importing these goods into the United States. This can have several implications, including contributing to the U.S. trade deficit (if imports exceed exports) and potentially impacting domestic industries.

It's important to note that this answer is based on the given information and assumes that there are no additional factors or influences at play.

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1 + 2 is equivalent to 3 if 1 + 2 = 3 after using the arithmetic operation, the answer is 3.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that is +, -, ×, and ÷.

It is given that:

1 + 2 = 3

As we know, from the definition:

Arithmetic can be defined as, an operation in which we do the addition of numbers, subtraction, multiplication, and division.

For the addition of two numbers:

The two numbers are 1 and 2:

Draw a vertical line 1:  |

Draw two vertical lines 2:  | |

Count the lines:  | | | = 3

Thus, 1 + 2 is equivalent to 3 if 1 + 2 = 3 after using the arithmetic operation, the answer is 3.

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The ogive is a line graph that plots the cumulative relative frequency distribution.

An ogive, also known as a cumulative frequency polygon, is a line graph that shows the cumulative frequency distribution of a data set. The cumulative frequency is calculated by adding up the frequencies of each value up to a certain point in the data set.

The cumulative relative frequency is calculated by dividing the cumulative frequency by the total number of observations in the data set. The ogive plots these cumulative relative frequencies against the corresponding values in the data set, usually on the x-axis.

By plotting the cumulative relative frequencies, the ogive shows how the data is distributed over the entire range of values. It can be used to identify patterns in the data, such as whether it is skewed or symmetrical. It is also useful for determining percentiles, as the percentile for a given value can be read directly from the ogive.

Overall, the ogive is a helpful tool for summarizing and visualizing the distribution of a data set, particularly when dealing with large data sets or complex distributions.

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The amount of total cost at q* is 1.

To determine the production level that minimizes total cost, we need to find the value of q (production level) at which the derivative of the total cost function TC(q) is equal to zero. Let's begin by finding the derivative of TC(q):

TC(q) = 10 - 6q + q^2

To find the minimum point, we differentiate TC(q) with respect to q:

d(TC(q))/dq = -6 + 2q

Setting the derivative equal to zero and solving for q:

-6 + 2q = 0

2q = 6

q = 3

So the production level q* that minimizes the total cost is 3.

To find the amount of total cost at q*, we substitute q = 3 into the total cost function TC(q):

TC(q*) = 10 - 6(3) + (3)^2

TC(q*) = 10 - 18 + 9

TC(q*) = 1

Therefore, the amount of total cost at q* is 1.

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Answer:

0.54

Step-by-step explanation:

sin 105 / 2 = sin 15 / b

b = sin 15 / 0.48296

b = 0.54

The probability that a single bulb will burn out within the next 10 minutes is approximately 0.6321. The expected amount of time until the first bulb goes out is 10 minutes. The probability density function (pdf) of the random variable T, representing the time when you leave the room after the last light bulb goes out, is given by \(g(t) = 20 * (1/10) * e^{(-(1/10)t)} * (1 - e^{(-(1/10)t))^(19)}\).

To find the probability that a single bulb will burn out within the next 10 minutes, we can use the exponential distribution. The exponential distribution with a mean of 10 minutes has a rate parameter λ = 1/10.

The probability density function (pdf) for an exponential distribution is given by \(f(x) = λ * e^{(-λx)}\)

In this case, we want to find the probability that a bulb burns out within the next 10 minutes, which corresponds to the cumulative distribution function (CDF) at x = 10. The CDF is given by \(F(x) = 1 - e^{(-λx)\)

So, substituting the values, we have:

\(F(10) = 1 - e^{(-(1/10)*10)\)

\(= 1 - e^{(-1)\)

= 1 - 0.3678794412

≈ 0.6321

Therefore, the probability that a single bulb will burn out within the next 10 minutes is approximately 0.6321.

The amount of time until the first bulb goes out follows an exponential distribution with a rate parameter of λ = 1/10 (since it has a mean of 10 minutes).

The probability density function (pdf) for the time until the first bulb goes out is given by\(f(t) = λ * e^{(-λt).\)

To find the expected amount of time until the first bulb goes out, we need to calculate the mean (or expected value) of this distribution.

The expected value of an exponential distribution with rate parameter λ is equal to 1/λ. In this case, the expected value is 1/(1/10) = 10 minutes.

Therefore, the expected amount of time until the first bulb goes out is 10 minutes.

To find the probability density function (pdf) of the random variable T, which represents the time when you leave the room (after the last light bulb goes out), we need to consider the distribution of the maximum of the exponential random variables.

Since there are 20 light bulbs in the room, and each follows an exponential distribution with a rate parameter λ = 1/10, the time until the last bulb goes out can be modeled as the maximum of 20 exponential random variables.

The pdf of the maximum of independent exponential random variables with the same rate parameter λ is given by \(g(t) = n * λ * e^{(-λt)} * (1 - e^{(-λt))^(n-1)}\), where n is the number of random variables.

In this case, n = 20, and λ = 1/10. Thus, the pdf of T is \(g(t) = 20 * (1/10) * e^{(-(1/10)t)} * (1 - e^{(-(1/10)t))^(19)}\)

This expression represents the pdf of the random variable T, which denotes the time when you leave the room after the last light bulb goes out.

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Answer:

A = -2/3

B = 8

C = -24

Line of symmetry calculation = x = -8/2*(2/3)

Line of symmetry is x = 6

Opens down

Min/man is (6,0)

Vertex is (6,0)

Domain is (-infinity, infinity)

Range is (-infinity, 0)

A central angle has a measure of 1 radian if the length of the intercepted arc is the same as the length of the radius.

One radian is the measure of a central angle that intercepts an arc s equal in length to the radius r of the circle. Since the circumference of a circle is 2πr, one revolution around a circle of radius r corresponds to an angle of 2π radians because of sr⇒2πrr=2π radians.

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Answer: 81 to 19

Step-by-step explanation:

Answer:

(x-13)^2+(y+16)^2=12.56

Step-by-step explanation:

Answer:

Step-by-step explanation:

f(x)=5h+2(h+3.5)=original

6>5h+2(h+n)

where n is the additional hours on weekends, if any.

Answer:

yes

Step-by-step explanation:

it travels in a line with no curves

Answer:

None of these

Step-by-step explanation:

2^6 = 64

1/10^6 = .000001

1/2^6 = \(\frac{1}{64}\)

1/12 = \(\frac{1}{12}\)

\(\huge\text{Hey there!}\)

\(\large\text{Assuming you meant: }\large\boxed{\rm{ 2^{-6}}}\)

\(\large\boxed{\frak{2^{-6}}}\\\\\large\boxed{= \frak{\dfrac{1}{2^6}}}\\\\\large\boxed{= \frak{\dfrac{1}{2\times2\times2\times2\times2\times2}}}\\\\\large\boxed{= \frak{\dfrac{1}{4\times4\times4}}}\\\\\large\boxed{= \frak{\dfrac{1}{16\times4}}}\\\\\large\boxed{= \frak{\dfrac{1}{16 + 16 + 16 + 16}}}\\\\\large\boxed{= \frak{\dfrac{1}{32 + 32}}}\\\\\large\boxed{= \frak{\dfrac{1}{64}}}\)

\(\huge\textbf{Therefore, your answer should be:}\)

\(\huge\boxed{\frak{\dfrac{1}{2^6}}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

Answer:

g = 1/2

Step-by-step explanation:

Step 1: Add 0.5g to both sides

9 + 4g = 11

Step 2: Subtract 9 from both sides

4g = 2

Step 3: Divide by 4 on both sides

g = 2/4

Step 4: Simplify

g = 1/2

9 + 3.5g = 11 - 0.5g

2 = 4g

g = 0.5

Answer:

Step-by-step explanation:

12 - 4 = 8 ⇒ sin x is shifted 8 units up.

k = ( 12 - 4 ) ÷ 2 = 4

The abscissa is ( \(\frac{x}{2}\) - \(\frac{\pi }{8}\) )

y = 4 sin ( \(\frac{x}{2}\) - \(\frac{\pi }{8}\) ) + 8

Possible cosine equation is

y = 4 cos ( \(\frac{x}{2}\) - \(\frac{\pi }{8}\) ) + 8

Answer:

The expression b/(a +b) does not exist when a = -b or b = -a

Step-by-step explanation:

The expression b/(a + b) does not exist if the denominator a + b = 0.

So, a = - b or b = -a.

So, the expression b/(a + b) does not exist when a = -b or b = -a.

When a = -b values, the denominator a + b = -b + b = 0. This will make the expression b/(a + b) = b/0 = ∞ which undefined or does not exist.

When b = -a values, the denominator a + b = a + (-a) = a - a = 0. This will make the expression b/(a + b) = -a/0 = -∞ which undefined or does not exist.

So the expression b/(a +b) does not exist when a = -b or b = -a

Answer:

a and d

Step-by-step explanation:

The points (0, 0) and (3, -2) are solutions to the system of inequalities y≤-2x+6 and x−y<6 which are a correct options (A) and (C).

Inequality is the defined as mathematical statements that have a minimum of two terms containing variables or numbers is not equal.

A graph can be defined as a pictorial representation or a diagram that represents data or values.

Given the system of inequalities as

y≤-2x+6 and x−y<6.

To determine the solutions, you first have to graph both of the lines in the problem.

y = -2x+6 and x − y = 6. Then, to shift them to inequality, you have to shade the half-plane that they represent.

The solution is the space that they have in common. In this case, it will be on the right side of the graph.

The points (0, 0) and (3, -2) are included in the shaded region they have in common.

Hence, the points (0, 0) and (3, -2) are solutions to the system of inequalities y≤-2x+6 and x−y<6.

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The exact values of the expressions are:

a) sin(2x) = \(\sqrt(99)/50\)

b) cos(2x) = \(49/50\)

c) tan(x) = \(\sqrt(99)/99\)

Given that sin(x) = 1/10 and x is in quadrant I, we can use the given information to find the exact values of the expressions without explicitly solving for x.

a) To find sin(2x), we can use the double-angle identity for sine:

sin(2x) = 2sin(x)cos(x)

We already know sin(x) = 1/10. To find cos(x), we can use the Pythagorean identity:

\(cos(x) = \sqrt(1 - sin^2(x))\)

Plugging in sin(x) = 1/10, we get:

\(cos(x) = \sqrt(1 - (1/10)^2) \\= \sqrt(99/100) = \sqrt(99)/10\)

Now we can substitute the values into the double-angle identity:

\(sin(2x) = 2(sin(x))(cos(x)) \\= 2(1/10)(\sqrt(99)/10) \\= \sqrt(99)/50\)

b) To find cos(2x), we can use the double-angle identity for cosine:

\(cos(2x) = cos^2(x) - sin^2(x)\)

Using the values we found earlier:

\(cos(2x) = (\sqrt(99)/10)^2 - (1/10)^2\\ = (99/100) - (1/100)\\ = 98/100\\ = 49/50\)

c) To find tan(x), we can use the definition of tangent:

tan(x) = sin(x)/cos(x)

Substituting the known values:

\(tan(x) = (1/10) / (\sqrt(99)/10) = 1/\sqrt(99)\)

= \(\sqrt(99)/99\)

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Answer:

e. y = sin(x) + π

Step-by-step explanation:

We can see that the graph of y = sin(x) has been shifted vertically. This means that the added π should be outside the trigonometric function.

Therefore, e. y = sin(x) + π is the correct answer.

See the attached image for how a, b, c, and d values change the graphs of sine and cosine.

Answer: 18

Step-by-step explanation:

Answer:

the answer would be 25

Step-by-step explanation:

Answer:

The square root of 1815 is a rational number if 1815 is a perfect square. It is an irrational number if it is not a perfect square. Since 1815 is not a perfect square, it is an irrational number.

Step-by-step explanation:

I comfirmed this, it’s most likely right! (;

Answer:

Check your question well

Step-by-step explanation:

U didn't ask to draw angle p so how can we get the angle r