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a nation-state
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dependency theory

If f and h are inverses of one another, then we have

h(f(x)) = x

Differentiating both sides using the chain rule gives

h'(f(x)) • f'(x) = 1

Let f(x) = -1. Then it would follow that

h'(-1) = 1/f'(x)

for the value of x such that f(x) = -1. This result is known as the inverse function theorem.

Solve for x such that f(x) = -1 :

2x³ - 3x = -1

2x³ - 3x + 1 = 0

By inspection, x = 1 is a solution, since 2 - 3 + 1 = 0. So x - 1 is a factor of the left side; polynomial division yields a factorization of

(x - 1) (2x² + 2x - 1) = 0

and using the quadratic formula, we find three solutions,

x = 1, x = (-1 - √3)/2, x = (-1 + √3)/2

Since there's more than one solution here, this means f(x) is not one-to-one and thus has no inverse in the strict sense of the term.

We can however restrict the domain of f(x) to a subset over which it can be inverted. Using the fact that polynomials are monotonic over intervals between their extrema, we find the critical points of f(x) :

f'(x) = 6x² - 3 = 0   ⇒   x² = 1/2   ⇒   x = ± 1/√2

Check the sign of the second derivative at each critical point:

f''(x) = 12x

• f''(-1/√2) = -12/√2 < 0   ⇒   x = -1/√2 is a local maximum

• f''(1/√2) = 12/√2 > 0   ⇒   x = 1/√2 is a local minimum

Now we have a few choices of how to define the inverse of f(x).

• If we restrict the domain of f(x) to the interval (-∞, -1/√2), then f(x) = -1 when x = (-1 - √3)/2. Then by the inverse function theorem,

f((-1 - √3)/2) = -1   ⇒   h'(-1) = 1/f'((-1 - √3)/2) = (-1 + √3)/6

• If we instead restrict the domain to (-1/√2, 1/√2), then f(x) = -1 when x = (-1 + √3)/2. Then

f((-1 + √3)/2) = -1   ⇒   h'(-1) = 1/f'((-1 + √3)/2) = (-1 - √3)/6

• Otherwise, if we restrict to (1/√2, ∞), then f(x) = -1 when x = 1. Then

f(1) = -1   ⇒   h'(-1) = 1/f'(1) = 1/3

By using Venn diagram method, the smallest and the largest number of students that intend to study both French and German are 21 and 49 students respectively.

Given that Larousse Language College will have 201 students in the Sixth Form next year. And between 70% and 75% of the students intend to study French. Also, between 40% and 50% of the students intend to study German.

If  all students study either French or German or both, the least number of students that will study French will be

70/100 x 201

140. 7

Which means 141 students

The least number of students that will study German will be

40/100 x 201

80.4

That means 81 students

Also, the maximum number of students that will study French will be

75/100 x 201

150.75

That is 150 students ( Because approximation can't be done twice)

And the maximum number of students that will study German will be

50/100 x 201

100 students ( Because approximation can't be done twice)

a.) The smallest number of students that intend to study both French and German can be calculated as followed

Let the smallest number be x

141 - x + x + 81 - x = 201

222 - x = 201

- x = 201 - 222

-x = - 21

x = 21

b.) The largest number of students that intend to study both French and German can be calculated as followed

Let the largest number be y

150 - y + y + 100 - y = 201

250 - y = 201

- y = 201 - 250

-y = - 49

y = 49

Therefore, The smallest and the largest number of students that intend to study both French and German are 21 and 49 students respectively.

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Answer:

future?

Explanation:

Answer:

In Hawaii v. Trump, the Supreme Court considered whether President Trump's travel ban exceeds the President's delegated powers under the Immigration and Nationality Act and violates the Establishment Clause of the First Amendment

It should be noted that the cases established the right of federal courts to review redistricting issues outside the courts' jurisdiction.

In Hawaii v. Trump, it was considered whether President Trump's travel ban exceeds the President's delegated powers.

In  Baker v. Carr (1962), the court ruled that federal courts can enforce the 14th amendment in a situation where the state legislative districts are populated.

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Answer:

The Proclamation of 1763 was issued by the British at the end of the French and Indian War to appease Native Americans by checking the encroachment of European settlers on their lands. It created a boundary, known as the proclamation line, separating the British colonies on the Atlantic coast from American Indian lands west of the Appalachian Mountains. In the centuries since the proclamation, it has become one of the cornerstones of Native American law in the United States and Canada.

Answer:

i=2, -12/9

Explanation:

Step one: Using FOIL: (4+3i) (6-3i)--> 4*6+4*-3i+ 3i*6+ 3i*-3i

Step two: Simplify the new equation--> 24-12i+18i-9i²

Step three: Putting that into the quadratic equation--> -9i²+6i+24

Step four: Use the quadratic formula or the X-method (I'm going to use the X-method)

Step five a: Setting it up to use the X-method--> ax²+bx+c=0

Step five b: a=-9 b=6 c=14

Step six:

Step seven:

Step eight: i= -2, -12/9

Hope that helps! Let me know if you need anymore help!

Solution

To determine the angle of the velocity, we use the following equation.

Tan θ = Vertical velocity ÷ Horizontal velocity

As the particle moves from its initial position to its final position, its vertical velocity decreases at the rate of 9.8 m/s each second. During this time its horizontal velocity is constant. To determine the time when the angle is 45˚, we need to determine the object’s vertical velocity at this angle. Let’s determine the vertical and horizontal components of its initial velocity.

Vertical = 50 × sin 60˚, Horizontal = 50 × cos 60˚ = 25 m/s

Since horizontal velocity is constant, let’s put 25 m/s and 45˚ into the tangent equation.

Tan 45 = Vertical velocity ÷ 25

Vertical velocity = 25 m/s

To determine the time for the vertical velocity to decrease from its initial value to 25 m/s, use the following equation.

vf = vi – a × t

a = 9.8

25 = 50 × sin 60˚ – 9.8 × t

t = (25 – 50 × sin 60˚) ÷ -9.8

This is approximately 1.83 seconds.

the movie's overt racism outraged African Americans and civil rights advocates.

Answer:

f(x) = d/ dx (2.5x1.3)

f(x) =2.5×d/dx(1.3*)

f(x) =5xIn 13/10 x 13*/2×10*

So the answer is

f(x)=5•IN13/10•13*/2•10*

That's the correct answer I see in my book

f(x)=5•IN13/10•13*/2•10* is the percent rate of increase for the exponential function.

The formula for an exponential function is f (x) = ax, where x is a variable and an is a constant that serves as the function's base and must be bigger than 0. The transcendental number e, or roughly 2.71828, is the most often used exponential function basis.

Y=abx y = a b x is the fundamental exponential function equation, where a denotes the y-intercept and b the growth factor.

When b > 0 and b 1, an exponential function has the form f(x) = bx. The base is b, and the exponent is x, just like in any exponential expression. The development of bacteria is an illustration of an exponential function. Some germs multiply by two per hour.

f(x) = d/ dx (2.5x1.3)

f(x) =2.5×d/dx(1.3*)

f(x) =5xIn 13/10 x 13*/2×10*

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Considering the situation described above, some of how September 11th affected North Carolina’s economy include "it led to the creation of thousands of military jobs in the state."

The other way September 11th affected North Carolina’s economy is that "it encouraged more defense and military spending."

September 11, 2001, Terrorist Attack was an attack on the United States targeting significant buildings such as Pentagon, World Trade Centers, and U.S Capitol.

Following the saddened incident that led to the immediate death of about 3,000 people, its effects were felt across the United States, including North Carolina.

Some of the effects led to increment in the militarization of North Carolina, making the state become the fourth-ranked state with military personnel in the United States with 166,000 troops.

Hence, in this case, it is concluded that the correct answer is options B and D.

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Answer:

The Hutus and Tutsis. Also known as the Rwandian Genocide

Explanation:

Answer:

its D

Explanation:

i just took the exam it was right

The following are some of the reasons we preserve our food.

Not to lose it freshness

.To prevent contamination and infection

.To prevent food from smelling

.To keep insect and other pest away from the food.

Keeps farm produce in good condition for planting in the next season

.To keep food for a long period of time.

Explanation:

One- Not to lose it freshness.

Two- To prevent contamination and infection.

Three- To prevent food from smelling.

Four- To keep insect and other pest away from the food.

During the period 1450-1750, are the environmental impact on the soil erosion are the transfer of the diseases.

What is environmental?

The term "environmental" refers to the surrounds on Earth. The environment is made up of both living and non-living entities. The influence of the environment on human life Plants, fisheries, animals, woods, and microorganisms are examples of biotic factors in the environment. Water, land, rocks, air, and other abiotic components are examples.

The movement of cattle and animals from one region to another, notably from the eastern to western hemispheres, had a significant environmental impact in the Americas. The animals brought west overgrazed, causing land degradation and disease transmission.

As a result, during the period 1450-1750, are the environmental impact on the soil erosion are the transfer of the diseases.

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Answer:

It won't let me comment but did  you ever figure this out? I am on the same assignment and struggling.

Explanation:

Answer: What statement is incorrect about natural selection

Explanation: Human genetic modification.

Answer:

a essay  a

Explanation:

Answer:

Explanation:

C

5%3000 = 150

150 x 4 = 600

3000 + 600 = 3600

Answer: $3,600

Explanation:

3,000 * 0.05 = 150

150 * 4 = 600

3,000 + 600 = 3,600

Answer:GPS tracking is the newest technology being used to track wildlife. In GPS tracking, a radio receiver, not a transmitter, is placed on the animal. The radio receiver picks up signals from special satellites. The receiver has a computer that then calculates the location and movement of the anima

Explanation:

GPS data is extensively used in the study of certain animals to understand their movements, behaviors, and habitats.

Researchers attach GPS tracking devices to animals such as migratory birds, marine mammals, and large terrestrial mammals. These devices record the animal's location at regular intervals, allowing scientists to track their movements over time.

By analyzing GPS data, researchers can identify migration routes, feeding areas, and breeding grounds of the studied species.

This information is vital for conservation efforts, as it helps identify critical habitats and migration corridors, assess the impact of human activities, and inform effective management strategies to protect these animals and their ecosystems.

GPS technology revolutionized the understanding of animal behavior and contributed significantly to wildlife conservation efforts.

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Answer:

It can take anywhere from 6 years to 10 years. Depends on the university.

In most unis:

Botany - 4 years

Culinary school - 4 years

Mechanical trade - 2 years

Hope that helps

Answer:

t/2 = 5/5 squared

Explanation:

So basically you find out all the functions, add it up and then you will have the max velocity of the particle. To find out the time you find the mean.

The policy that the Federal Reserve could use to improve the economy are;

C: The Federal Reserve purchases treasuries and securities and also issues new repurchase agreements. The increase in the money supply and decrease in interest rates result in more lending and risk.

The Federal Reserve which is the US Central Bank has 2 major roles which are:

Now, when there is recession which is slow economic growth, unemployment level increases, and prices may drop in a process called deflation.

The Federal Reserve could take the following steps to arrest the slide in economic growth;

Thus, the correct answer is option C.

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Answer: C: The Federal Reserve purchases treasuries and securities and also issues new repurchase agreements. The increase in the money supply and decrease in interest rates result in more lending and risk.

Hope this helps :)

Answer:

Energy investment phase. Glucose is first converted to fructose-1,6-bisphosphate in a series of steps that use up two ATP. Then, unstable fructose-1,6-bisphosphate splits in two, forming two three-carbon molecules called DHAP and glyceraldehyde-3-phosphae.

Explanation:

hope it helps you