if I want translate the point 3,4 with the following mapping (x,y). (x-8,y+2)what would be my new point

There are approximately 19 major commercial aircraft manufacturers, with hundreds of different makes and models currently in service by airlines worldwide.

To determine the number of different commercial aircraft makes and models in service, one can research major aircraft manufacturers, such as Boeing, Airbus, Bombardier, Embraer, and others. Each manufacturer produces multiple models, with various sub-models designed for specific airline needs. By researching each manufacturer's aircraft line and cross-referencing with the fleets of airlines around the world, a comprehensive list of commercial aircraft in service can be compiled. However, this number is constantly changing due to new models being introduced and older ones being retired.

The world's airlines currently operate hundreds of different makes and models of commercial aircraft, with a variety of manufacturers contributing to the diverse fleet in service today.

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Answer

Joe walked 2 miles.

Explanation

Distance is expressed as

d = rt

d = distance = ?

r = rate or speed = 4 mph

t = time = 30 minutes = 0.5 hour

d = rt

d = (4) (0.5)

d = 2 miles

Hope this Helps!!!

For a translation and a rotation map of ΔHJK to ΔLMN is given by translating K to N and rotating about K until HK lies on the line containing LN. Option C is correct.

When a form travels around a fixed point or over the mirror line without altering, it is said to be translating.

When a form rotates around a fixed point, it is said to be rotating.

In conclusion, The translation and rotation of the map ΔHJK to ΔLMN Translate K to N and rotate about K until HK lies on the line containing LN.

Hence, Translate K to N and rotate about K until HK lies on the line containing LN is correct.

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Answer:

m < 2 = 49°

m < 4 = 49°

Step-by-step explanation:

Given that m < 5 = 131°:

< 3 and < 5 are Alternate interior angles, which are angles that do not have a common vertex on alternate sides of the transversal. These angles have the same measure. Therefore, m < 3 = 131°.

Angles < 2 and < 3 are supplementary angles, in which their measures have a sum of 180°. Therefore, to find the measure of angle 2, we can establish the following formula:

m < 2 + m < 3 = 180°

Subtract - m < 3 from both sides to isolate m < 2:

m < 2 + m < 3 - m < 3 = 180°- m < 3

m < 2 = 180°- m < 3

Next, plug in the value of m < 3 into the equation:

m < 2 = 180°- m < 3

m < 2 = 180°- 131°

m < 2 = 49°

Next, m < 2 and m < 4 are vertical angles. Two angles are vertical angles if they are opposite angles formed by the intersection of two lines. Vertical angles are congruent. Since m < 2 = 49°, then m < 4 must also be 49°.

Therefore, m < 2 = 49° and m < 4 = 49°

Please mark my answers as the Brainliest if my explanations were helpful :)

Answer:

Step-by-step explanation:

Mass after 50 days = ?

Beginning mass

mass 1/2 life = 64.9

Mass after 50 days = beginning mass (1/2)^(t/64.9)

Mass after 50 days = 10 * 1/2 ^ (50 / 64.9)

Mass after 50 days = 10 * 0.586

Mass after 50 days = 5.86 mg

We have derived the following equations:

(10) Y = 7,000 - 200r - 1,000ε
(11) 10 = r + 5ε
(12) NX = 500 - 500r - 2,500ε
(13) CF = -50,000 + 50,000r + 250,000ε

To solve the given equations for the equilibrium values of C, NX, CF, r, and ε, let's go step by step.

First, we'll substitute equations (2), (3), (4), (5), (6), (7), (8), and (9) into equation (2) to eliminate the variables C, I, G, NX, CF, and T.

Equation (2) becomes:
Y = (1/2)(Y - T) + (2,000 - 100r) + 1,500 + (500 - 500ε)

Next, let's simplify the equation:

Y = (1/2)(Y - 1,000) + 2,000 - 100r + 1,500 + 500 - 500ε

Distribute (1/2) to the terms inside the parentheses:

Y = (1/2)Y - 500 + 2,000 - 100r + 1,500 + 500 - 500ε

Combine like terms:

Y = (1/2)Y + 3,500 - 100r - 500ε

Now, let's isolate Y by subtracting (1/2)Y from both sides:

(1/2)Y = 3,500 - 100r - 500ε

Multiply both sides by 2 to get rid of the fraction:

Y = 7,000 - 200r - 1,000ε

We now have one equation (10) in terms of Y, r, and ε.

Next, let's substitute equation (1) into equation (10) to solve for Y:

5,000 = 7,000 - 200r - 1,000ε

Subtract 7,000 from both sides:

-2,000 = -200r - 1,000ε

Divide both sides by -200:

10 = r + 5ε

This gives us equation (11) in terms of r and ε.

Now, let's substitute equation (11) into equation (5) to solve for NX:

NX = 500 - 500ε

Substitute r + 5ε for ε:

NX = 500 - 500(r + 5ε)

Simplify:

NX = 500 - 500r - 2,500ε

This gives us equation (12) in terms of NX, r, and ε.

Finally, let's substitute equation (12) into equation (6) to solve for CF:

CF = -100r

Substitute 500 - 500r - 2,500ε for NX:

CF = -100(500 - 500r - 2,500ε)

Simplify:

CF = -50,000 + 50,000r + 250,000ε

This gives us equation (13) in terms of CF, r, and ε.

To summarize, we have derived the following equations:

(10) Y = 7,000 - 200r - 1,000ε
(11) 10 = r + 5ε
(12) NX = 500 - 500r - 2,500ε
(13) CF = -50,000 + 50,000r + 250,000ε

These equations represent the equilibrium values of Y, r, ε, NX, and CF in the given open economy.

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The expected number of times we need to select before finding a prime number is 5.952381

the proportion of prime numbers is given as

P = 168 / 1,000 = 0.168

Let X be a random variable that denotes the number of times we need to select a number before finding a prime number

Here, we are modeling the number of trials until the first success occurs, where success is finding a prime number

Hence we can say that X follows a Geometric distribution with p = 0.168

Now, the mean of Geometric distribution is given as

E(X) = \(\frac{1}{P} =\frac{1}{0.168} = 5.952381\)

Therefore the expected number of times we need to select before finding a prime number is 5.952381

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Answer:

Check the attached image above for solution

Answer:

Subtract 75 from both sides.

Answer:

h ≈ 29.98

Step-by-step explanation:

diameter = 12m

volume = \(1130m^{3}\)

radius = 6m

The equation to find the height given radius and volume:

\(h = \frac{3(V)}{\pi r^2}\)

Plug in values

Answer:

Given:-

Diameter=12m

Volume=1130m³

Takeπ=3.14

To find:-

Height of cone=?

Step-by-step explanation:

Solution:-

Radius=d/2

= 12/2

=6m

Volume of cone=1/3πr²h

h= 3v/πr²

= 3×1130/3.14× 6²

= 3390/113.04

= 29.98m

hence, the height of cone is 30m.

Answer:

.3 .029 .0157 3.9 2.023 4.0129

i hope that helps!

Answer:

The linear equation is y = 450 - 30 x, where y is the number of pages

Lourdes has left to read after x days

Step-by-step explanation:

Each day, Lourdes reads 30 pages of a 450-page book

- We need to write a linear equation to represent the number of pages

 Lourdes has left to read after x days

∵ Lourdes reads 30 pages each day

∵ Lourdes will read for x days

∴ The number of pages Lourdes will read in x day = 30 x

- The left pages will be the difference between the total pages of the

 book and the pages Lourdes read

∵ The book has 450 pages

∵ Loured will read 30 x in x days

∴ The number of pages left = 450 - 30 x

- Assume that y represents the number of pages Lourdes has left

 to read after x days

∴ y = 450 - 30 x

The linear equation is y = 450 - 30 x, where y is the number of

pages Lourdes has left to read after x days

Answer:

No

Step-by-step explanation:

Its actually pretty normal to get a large amount of decimals when using cos, sin or tan

Answer:

12v^10

Step-by-step explanation:

4v x 3v= 12v, ^3+^7=^10

The evaluation of the integral is 2π (\(e^{-1} -e^{-9}\))

Given,

\(\int\limits^_\)\(\int\limits^_\)\(\int\limits^_\)\(E\)\(\frac{e(-(x^{2} +y^{2}+z^{2})) }{\sqrt{x^{2} +y^{2} +z^{2} } } \sqrt{dV}\)

E is the region bounded by the spheres which is,

\(x^{2} +y^{2} +z^{2} =1\\x^{2} +y^{2} +z^{2}=9\)

In spherical coordinates we have,

x = r cosθ sin ∅

y = r sinθ sin∅

z = r cos∅

dV = \(r^{2}\)sin∅ dr dθ d∅

E contains two spheres of radius 1 and 3 (\(\sqrt{9}\)) respectively, the bounds will be like,

1 ≤ r ≤ 3

0 ≤ θ ≤ 2π

0 ≤ ∅ ≤ π

Then,

\(\int\limits^_\)\(\int\limits^_\)\(\int\limits^_\)E\(\frac{e(-(x^{2} +y^{2}+z^{2})) }{\sqrt{x^{2} +y^{2} +z^{2} } } \sqrt{dV}\)

\(\int\limits^2_0\pi\)\(\int\limits^\pi _0\)\(\int\limits^3_1\)\(\frac{e^{-r^{2} } }{r} r^{2}\) sin∅ dr d∅ dθ

= 2π \(\int\limits^\pi _0\)\(\int\limits^3_1\)\(re^{-r^{2} }\)dr d∅

= -π \(\int\limits^\pi _0\)\(e^{-r^{2} }\)\(\int\limits^3_1\)d∅

= 2π (\(e^{-1} -e^{-9}\))

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The total concentration of water inside the cell you drew is 80%, the correct option is D.

We are given that;

Circle= 10% water

Now,

The total concentration of water inside the cell is the sum of the circles labeled “water”, which is 7 circles. Each circle represents 10% water, so 7 circles represent 70% water.

The cell also has 20% solute, which is not labeled in the drawing. The total concentration of water and solute inside the cell is 100%, so the concentration of water is 100% - 20% = 80%.

Therefore, by the percentage the answer will be 80%.

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The answer to the question is 46

When a parcel of air is stable, it resists vertical motion and tends to return to its original position when disturbed. When a parcel of air is unstable, it continues to rise on its own and can potentially form clouds and precipitation. The dry and moist adiabatic rates of heating or cooling differ from the average (or normal) lapse rate and the environmental lapse rate.

1. Stability and instability refer to the behavior of a parcel of air as it rises vertically in the atmosphere.

When a parcel of air is stable, it resists vertical motion and tends to return to its original position when disturbed. This is because the temperature of the parcel is colder than the surrounding environment. As the parcel rises, it cools at a rate called the dry adiabatic rate (DALR), which is approximately 10 degrees Celsius per 1000 meters. Since the DALR is greater than the average lapse rate (ALR) of 6.5 degrees Celsius per 1000 meters, the parcel cools more rapidly than the surrounding air, making it denser. As a result, the parcel will sink back down to its original position, indicating stability.
On the other hand, when a parcel of air is unstable, it continues to rise on its own and can potentially form clouds and precipitation. In this case, the temperature of the parcel is warmer than the surrounding environment. As the parcel rises, it cools at a slower rate known as the moist adiabatic rate (MALR), which is around 6 degrees Celsius per 1000 meters. The MALR is less than the ALR, which means that the parcel cools less rapidly than the surrounding air, making it less dense. This buoyancy allows the parcel to continue rising and potentially form clouds and storms.

2. The dry and moist adiabatic rates of heating or cooling differ from the average (or normal) lapse rate and the environmental lapse rate.
The dry adiabatic rate (DALR) and moist adiabatic rate (MALR) are rates at which the temperature of an air parcel changes as it rises or descends in the atmosphere. The DALR is approximately 10 degrees Celsius per 1000 meters, while the MALR is around 6 degrees Celsius per 1000 meters.
In contrast, the average lapse rate (ALR) represents the average decrease in temperature with increasing altitude in the atmosphere, and it is about 6.5 degrees Celsius per 1000 meters. This lapse rate is calculated by taking into account the overall temperature changes over a larger vertical distance in the atmosphere.

The environmental lapse rate (ELR), on the other hand, is the actual lapse rate observed in the atmosphere at a specific time and location. It can vary due to factors like local weather conditions, solar radiation, and the presence of temperature inversions. The key difference between the adiabatic rates and the average and environmental lapse rates is that the adiabatic rates only consider the temperature changes within an air parcel as it rises or descends, while the lapse rates take into account the temperature changes over a larger vertical distance in the atmosphere.

To summarize, the adiabatic rates describe the temperature changes within an air parcel, while the average and environmental lapse rates represent the overall temperature changes in the atmosphere over a larger vertical distance.

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Answer:

\(\boxed{\sf No}\)

Step-by-step explanation:

\((q-r)^2\)

Expand brackets.

\((q-r)(q-r)\)

\(q^2 -rq -rq+r^2\)

Combine like terms.

\(q^2 -2rq+r^2\)

The expression is not equal to \(q^2 -r^2\).

Answer:

Yes, they are.

Step-by-step explanation:

\((q - r) {}^{2} =( q) {}^{2} - (r) {}^{2} = q {}^{2} - r {}^{2} \)

\((q - r) {}^{2} = q {}^{2} - r {}^{2} \)

Hope this helps ;) ❤❤❤

The probability of a randomly selected marriage will last at least 20 years if the woman has a bachelor's degree is 0.16 or 16%. Given: In 16% of marriages the woman has a bachelor's degree and the marriage lasts at least 20 years.Percent of women have a bachelor's degree. % of all marriages last at least 20 years.

The probability that a marriage lasts at least 20 years is 20%.According to the research agency, in 16% of marriages, the woman has a bachelor's degree and the marriage lasts at least 20 years.So, the probability of a woman having a bachelor's degree is: 16/20 = 0.8 or 80%.It is given that the percent of women who have a bachelor's degree is not provided. So, it is assumed to be 50%.Now, we can use the formula of conditional probability :P(A | B) = P(A ∩ B) / P(B)P(marriage lasts 20 years | woman has a bachelor's degree) = P(marriage lasts 20 years ∩ woman has a bachelor's degree) / P(woman has a bachelor's degree)P(marriage lasts 20 years ∩ woman has a bachelor's degree) = 0.16 * 0.5 = 0.08P(woman has a bachelor's degree) = 0.5.

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Step-by-step explanation:

A = πr^2

When r=8m and π = 3.14,

A = 3.14*8*8=200.96sq.m

Answer:

\(\huge\boxed{\bf\:200.96\:m^{2}}\)

Step-by-step explanation:

If,

Area (A) of the circle = ?

A = πr²                    \(\dashrightarrow\)  Formula

A = 3.14 × (8)²

A = 3.14 × 64

A = 200.96 m²

\(\rule{150pt}{2pt}\)

Answer:

That's not full question

Answer:120 plus 80 plus 17 equals 217

Step-by-step explanation:

Answer:

Step-by-step explanation:

217

Answer:

3 x 8 = ____16____

Step-by-step explanation:

8+8+8= 16 or 3+3+3+3+3+3+3+3= 16

Hope this helps :)

Answer:

3 x 8 = ____16____

Step-by-step explanation:

8+8+8= 16 or 3+3+3+3+3+3+3+3= 16

Step-by-step explanation:

Using probability of union set,

the probability that person you choose is either a woman or has never been married is 0.66..

We have given that

If X be random variable that an American adult selected.

Assume that

A : selected adult is a women

B : selected adult has never married

Probability that you choose a woman, P(A) = 0.52

Probability that the person you choose has never been married , P(B) = 0.25

Probability that you choose a woman who has never been married , P(A∩B) = 0.11

we have to calculate probability that person you choose is either a woman or has never been married, P(A∪B)

Using the formula,

P(A∪B ) = P(A) + P(B) - P(A∩B)

pluging all known values in above formula we get

=> P(A∪B ) = 0.52 + 0.25 - 0.11

=> P(A∪B) = 0.77 - 0.11 = 0.66

Hence, the required probability is 0.66..

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Answer:

A

Step-by-step explanation:

The equilibrium point is (60, 2400), the consumer surplus at the equilibrium point is $48,000, and the producer surplus at the equilibrium point is $36,000.

(a) The equilibrium point occurs when the quantity demanded by consumers equals the quantity supplied by producers. To find this point, we need to set the demand function equal to the supply function and solve for x.

Demand function: D(x) = 3000 - 10x

Supply function: S(x) = 900 + 25x

Setting D(x) equal to S(x):

3000 - 10x = 900 + 25x

Simplifying the equation:

35x = 2100

x = 60

Therefore, the equilibrium point occurs at x = 60.

(b) Consumer surplus at the equilibrium point can be found by calculating the area between the demand curve and the equilibrium price. Consumer surplus represents the difference between the price consumers are willing to pay and the actual market price.

At the equilibrium point, x = 60. Plugging this value into the demand function:

D(60) = 3000 - 10(60)

D(60) = 3000 - 600

D(60) = 2400

The equilibrium price is $2400 per unit. To find the consumer surplus, we need to calculate the area of the triangle formed between the demand curve and the equilibrium price.

Consumer surplus = (1/2) * (2400 - 900) * 60

Consumer surplus = $48,000

(c) Producer surplus at the equilibrium point represents the difference between the actual market price and the minimum price at which producers are willing to sell their goods.

To find the producer surplus, we need to calculate the area between the supply curve and the equilibrium price.

At the equilibrium point, x = 60. Plugging this value into the supply function:

S(60) = 900 + 25(60)

S(60) = 900 + 1500

S(60) = 2400

The equilibrium price is $2400 per unit. To find the producer surplus, we need to calculate the area of the triangle formed between the supply curve and the equilibrium price.

Producer surplus = (1/2) * (2400 - 900) * 60

Producer surplus = $36,000

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Using quantifiers; a) ∀ student ∈ this class, ∃ exactly 2 mathematics classes ∈ this school that the student has taken and b) ∃ person, ∀ country ∈ the world (country ≠ Libya), the person has visited that country.

a) "Every student in this class has taken exactly two mathematics classes at this school."

In this statement, we have two main quantifiers:

Universal quantifier (∀): This quantifier denotes that we are making a statement about every individual student in the class. It indicates that the following condition applies to each and every student.

Existential quantifier (∃): This quantifier indicates the existence of something. In this case, it asserts that there exists exactly two mathematics classes at this school that each student has taken.

So, when we combine these quantifiers and their respective conditions, we get the statement: "For every student in this class, there exists exactly two mathematics classes at this school that the student has taken."

b) "Someone has visited every country in the world except Libya."

In this statement, we also have two main quantifiers:

Existential quantifier (∃): This quantifier signifies the existence of a person who satisfies a particular condition. It asserts that there is at least one person.

Universal quantifier (∀): This quantifier denotes that we are making a statement about every individual country in the world (excluding Libya). It indicates that the following condition applies to each and every country.

So, when we combine these quantifiers and their respective conditions, we get the statement: "There exists at least one person who has visited every country in the world (excluding Libya)."

In summary, quantifiers are used to express the scope of a statement and to indicate whether it applies to every element or if there is at least one element that satisfies the given condition.

Therefore, Using quantifiers; a) ∀ student ∈ this class, ∃ exactly 2 mathematics classes ∈ this school that the student has taken and b) ∃ person, ∀ country ∈ the world (country ≠ Libya), the person has visited that country.

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