In theater which board has faders on it (hint: they slide up and down)?

By 1900, coal had become the dominant industrial fuel, displacing biomass and providing half of the world's fuel consumption. Coal has been used for heating since the days of the cavemen.

In sparsely populated and heavily forested Germany and France, wood remained a major source of energy until the 1850s. Coal did not overtake wood in the United States until the 1880s. The switch to coal has brought enormous benefits to developed countries.

Coal has been used for heating since the days of the cavemen. Archaeologists have also found evidence that the Romans in England used it in his second and third centuries (AD 100-200). In the 1700s, the British discovered that coal could produce a cleaner, hotter-burning fuel than charcoal.

Coal has many uses, including cement manufacturing, carbon fiber and foam, pharmaceuticals, tar, petroleum-based synthetic fuels, and domestic and commercial heating.

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Factors that promote the Decline of interest in education include;

In some regions, the interest of the younger generation is declining due to several reasons which or may not apply to everyone in the district.

The following could cause a decline of interest in education;

All these points listed above could cause a decline in the ability of children in a district to focus on their education.

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The answer to your question is (4, -2 1/2)

In mathematics, the coordinate of a point refers to a set of numbers that uniquely identifies the position of that point in a particular coordinate system.

In two-dimensional space, a point is represented by a pair of numbers, usually written as (x,y), where x is the horizontal distance from the origin (often called the x-axis) and y is the vertical distance from the origin (often called the y-axis).

To know the coordinates of a point, first, count in the x-axis the position of the point, and after that count the points in the y-axis.

In this problem, we notice that the point is in position 4 in the horizontal axis and position -2 1/2 in the y-axis. So the coordinates of this point are

(4, -2 1/2)

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The only way that Zwingli believe was the way to heaven is  salvation that is obtained from faith alone.

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Ulrich Zwingli  is know to be a man that was said to be strongly against the Catholic practices as well as their doctrines such as the act of fasting, purgatory, the act of indulgences, the act of making veneration as well as intercession of the saints and monasticism.

For Zwingli, he was one who believes that salvation of God comes from those who have faith alone.

Therefore, based on the above, one can say that The only way that Zwingli believe was the way to heaven is  salvation that is obtained from faith alone.

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Answer:

it has 7 valence electrons.

Explanation:

Answer:

he Shakers were a religious group that believed in the importance of simplicity, equality, and celibacy. They established a number of communities throughout the United States, where they practiced their beliefs and worked to create a more perfect society. The Oneida Community was a group that emphasized the importance of free love, male continence, and female sexual pleasure. They established a commune in New York where they practiced these beliefs and sought to create a more fulfilling way of life for their members. Brook Farm was a commune founded on the principles of transcendentalism, which emphasized the importance of individualism, self-reliance, and the unity of all people. Members of Brook Farm sought to create a more egalitarian and harmonious society where they could pursue their own personal growth and development.

Overall, these communities can best be described as utopian communities that sought to create more fulfilling and meaningful ways of life for their followers. They were characterized by their shared values, goals, and efforts to create more harmonious and cooperative societies.

Answer:Asking for infomation specifiy something.

Explanation:

On December 8, 1941, the United States Congress declared war on the Empire of Japan in response to that country's surprise attack on Pearl Harbor the prior day. It was formulated an hour after the Infamy Speech of President Franklin D. Roosevelt. Japan had sent a message to their embassy in Washington, but because of problems in decoding and typing out the very long message – the high-security level assigned to the declaration meant that only personnel with very high clearances could decode it, which slowed the process – it was not delivered to the U.S. Secretary of State until after the Pearl Harbor attack. Following the U.S. declaration, Japan's allies, Germany and Italy, declared war on the United States, bringing the United States fully into World War II.

Yes - The turning point in the Pacific war came with the American naval victory in the Battle of Midway in June 1942. The Japanese fleet sustained heavy losses and was turned back.

Answer:

it’s B

Explanation:

I just took the test

please mark me as brainlist.

Answer:

The answer I got is B too, the person who answered before me is correct

Explanation:

Answer:

It was brought to China by Buddhist monks from India during the latter part of the Han dynasty (ca. 150 CE) and took over a century to become assimilated into Chinese culture.

Explanation:

The null hypothesis is that The distribution of scores for PWSH students is not significantly different from the national distribution of scores.

The alternative hypothesis is that the distribution of scores for PWSH students is significantly different from the national distribution of scores.

The test statistic:

χ^2 = [(16-43.16)^2/43.16] + [(21-83.97)^2/83.97] + [(11-93)^2/93] + [(22-74.45)^2/74.45] + [(10-94.14)^2/94.14]

= 182.06

Using a chi-square distribution tablez we find the critical value at a significance level of 0.05 to be 9.488. Since our test statistic of 182.06 is much larger than the critical value of 9.488, we can reject the null hypothesis

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PART A: The definition of capitalism is one of the article's main themes,and the article's other main point is A property ownership.

A common conception of capitalism is as an economic system where individual actors own and control property according to their interests and where supply and demand freely determine market prices in a way that can best serve society.The desire to turn a profit is capitalism's fundamental characteristic. The father of modern economics and philosopher Adam Smith once said: "We expect our dinner not from the goodness of the butcher, the brewer, or the baker, but from their regard to their own interest." In a voluntary exchange transaction, each party has a stake in the outcome, but neither can get what they want without considering the other party's desires.

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Answer:

Because of Triangle Trade.

Explanation:

The Old World (Europe) did all of the man manufacturing of the goods. They took these goods overseas and sold them to West Africa and the New World. West Africa is where you went in triangle trade to gather slaves and ship them to the new world for work. The New World was used for gathering raw materials such as lumber, tobacco, and other goods to send to the old world.

The correct option is A. Both careers try to support student success; however, teaching and training careers involve direct instruction of students.

While both teaching and training careers, as well as professional support careers, aim to support student success, the way in which they do so differs.

Teaching and training careers typically involve direct instruction of students in a classroom or training setting, with educators delivering lesson plans, assessing student progress, and providing individualized support as needed.

On the other hand, professional support careers, such as school counselors, speech therapists, or educational psychologists, work alongside teachers to provide additional support to students who may require specialized assistance in order to thrive in the classroom environment.

Professional support careers may also work with families and other stakeholders to ensure that students' academic and emotional needs are being met.

While both teaching and training careers, as well as professional support careers, are vital in helping students learn and grow, they play different roles in the education ecosystem.

The right answer is A. Both careers try to support student success; however, teaching and training careers involve direct instruction of students.

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Answer:

The solution to the given system of equations is x = 8 and y = 5.

Explanation:

The linear combination method is a technique used to solve a system of linear equations.

To use the linear combination method, multiply one (or both) of the equations by a constant so that when the two equations are added or subtracted, one of the variables will be eliminated.

Given system of linear equations:

\(\begin{cases}-3x+8y=16\\ x-4y=-12\end{cases}\)

Multiply the second equation by 2 so that the coefficient of the y variable is equal in magnitude but has the opposite sign to the coefficient of the y variable in the first equation, i.e. 8y:

\(\implies 2(x-4y)=2(-12)\)

\(\implies 2x-8y=-24\)

Add this to the first equation to eliminate the y variable:

\(\begin{array}{crcccr}&-3x & + & 8y & = & 16\\+&(2x&-&8y&=&-24\\\cline{2-6}&-x&&&=&-8\end{array}\)

Solve for x by dividing both sides by -1:

\(\implies \dfrac{-x}{-1}=\dfrac{-8}{-1}\)

\(\implies x=8\)

Now that we have solved for x, we can substitute x = 8 back into one of the original equations to solve for x.

Substitute x = 8 into equation 2 and solve for y:

\(\implies 8-4y=-12\)

\(\implies 8-4y-8=-12-8\)

\(\implies -4y=-20\)

\(\implies \dfrac{-4y}{-4}=\dfrac{-20}{-4}\)

\(\implies y=5\)

Therefore, the solution to the given system of equations is x = 8 and y = 5.

Differentiation

The definition of a derivative is the slope of the tangent line.

Derivative Property [Multiplied Constant]:
\(\displaystyle (cu)' = cu'\)

Derivative Property [Addition/Subtraction]:
\(\displaystyle (u + v)' = u' + v'\)

Derivative Rule [Basic Power Rule]:

Derivative Rule [Product Rule]:
\(\displaystyle (uv)' = u'v + uv'\)

Implicit Differentiation

Let's define the problem.

We are trying to find the slope of the tangent line.

Curve: \(\displaystyle y^2 - 2x^2 = 6 - 2xy\)

Point: (2, 3)

Let's find the derivative of the curve using implicit differentiation and basic differentiation techniques listed under "Calculus":

\(\displaystyle\begin{aligned}2y \frac{dy}{dx} - 4x & = -2 \bigg( y + x \frac{dy}{dx} \bigg) \\2y \frac{dy}{dx} & = -2y - 2x \frac{dy}{dx} + 4x \\2y \frac{dy}{dx} + 2x \frac{dy}{dx} & = 4x - 2y \\\frac{dy}{dx} \bigg( 2y + 2x \bigg) & = 4x - 2y \\\frac{dy}{dx} & = \frac{4x - 2y}{2y + 2x} \\& = \boxed{ \frac{2x - y}{x + y} } \\\end{aligned}\)

∴ the derivative of the curve is equal to:
\(\displaystyle \boxed{ \frac{dy}{dx} = \frac{2x - y}{x + y} }\)

We know by definition that the derivative is the slope of the tangent line. That means we can plug in the point (2, 3) directly into our derivative:

\(\displaystyle\begin{aligned}\frac{dy}{dx} \bigg|_{(2 ,\ 3)} & = \frac{2(2) - 3}{2 + 3} \\& = \frac{4 - 3}{5} \\& = \boxed { \frac{1}{5} } \\\end{aligned}\)

∴ the slope of the tangent line is equal to:
\(\displaystyle \boxed{ \frac{dy}{dx} \bigg|_{(2 ,\ 3)} = \frac{1}{5} }\)

The slope of the tangent line to the curve \(\displaystyle y^2 - 2x^2 = 6 - 2xy\) at the point (2, 3) is equal to 0.20.

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Topic: Calculus I

Unit: Differentiation

Answer:

a. Body position

Explanation:

The fluid in the semicircular canals sloshes around as your head rotates, moving the fine hairs that line each canal. These hairs convert the fluid flow into nerve signals that are transmitted to your brain. Body position is most closely associated with hair like receptors in the semicircular canals.

The inner ear, located deep inside the brain, has three little fluid-filled structures known as semicircular canals (ducts). The ampulla is a bulge seen at the end of each duct. The ampulla contains minuscule "balancing" receptors known as crista.

The fluid in the semicircular canals sloshes around as your head rotates, moving the fine hairs that line each canal. These hairs convert the fluid flow into nerve signals that are transmitted to your brain. Then, your brain can instruct your body on how to maintain equilibrium.

Only the middle of the circular tubes contain the semicircular canal receptor cells, also known as "hair cells," which are covered by a gelatinous membrane that stretches across the tube to create an airtight seal similar to the skin of a drum.

Therefore, the correct answer is option a. Body position.

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(a) An increase in government spending by $100 billion will shift the AD curve to the right.

(b) Household savings will decrease by $400 billion in the short run.

(c) An increase in real output will lead to an increase in the demand for money in the economy.

(d) An increase in the interest rate in the short run leads to a decrease in the prices of previously issued bonds

(e) An increase in the inflation rate in the United States relative to the inflation rate in the European Union will lead to a decrease in the demand for dollars in the foreign exchange market.

(f) If the Federal Reserve attempts to keep the value of the dollar constant in the foreign exchange market, it should sell dollars and buy euros.

The maximum change in real output can be calculated using the formula:

∆Y = ∆Spending × (1 / (1 - MPC))

where MPC is the marginal propensity to consume.

∆Y = $100 billion × (1 / (1 - 0.8)) = $500 billion

The maximum change in household savings can be calculated as follows:

∆S = -MPC × ∆Y

∆S = -0.8 × $500 billion = -$400 billion

If the Federal Reserve attempts to keep the value of the dollar constant in the foreign exchange market, it should sell dollars and buy euros. This is because the dollar has depreciated in the foreign exchange market, and selling dollars will increase the demand for dollars and raise its value.

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After people moved into a new housing development and killed all the snakes, the rat population grew exponentially from 4000 to 32,000 rats in 15 months. The growth rate of rats is 14%.

After people moved into a new housing development and killed all the snakes, the rat population grew exponentially from 4000 to 32,000 rats in 15 months. The growth rate of the rats can be determined using the formula:

Growth rate = (final population/initial population)(1/time) - 1

where, Final population = 32,000

Initial population = 4,000Time = 15 months

We will substitute these values in the formula:

Growth rate = (32,000/4,000)(1/15) - 1

Growth rate = 2 x 0.067 - 1

Growth rate = 0.144

So, the growth rate of the rats is approximately 14%.

The rapid increase in the rat population can be attributed to the absence of snakes, which are natural predators of rats. Without any natural predators to control their population, the rats were able to reproduce freely and multiply rapidly. This highlights the importance of maintaining a balance in the ecosystem and not disrupting the natural food chain.

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Answer:

Mother-daughter relationships are an important theme in plays as they allow playwrights to explore complex emotions and themes. For playwrights with daughters, the mother-daughter play can be a way to come to terms with the mixed emotions that accompany the transition from daughterhood to motherhood. For those writers committed to celebrating matrilineage, the mother-daughter play can lead to mutual liberation and the renewal of bonds based on equality.

In an essay on the importance of mother-daughter relationships in a play, one could argue that these relationships provide a rich source of emotional depth and complexity. They allow playwrights to explore themes such as love, loss, identity, and generational conflict. By portraying the struggles and triumphs of mothers and daughters, plays can shed light on the human condition and help us better understand ourselves and our relationships with others.

Explanation:

Answer:

When traveling at 55mph, that's enough time to cover the length of a football field blindfolded” (2009, VTTI). Driving has become an automatic process for most of us who drive therefore many drivers will divide their attention to a few tasks at the same time while driving.

Explanation: