How do I solve this equation?

Answers

Answer 1

General Formulas and ConceptsPre-Calculus

Vectors

Vector Properties:

Addition:
[tex]\displaystyle < a, b > + < c, d > = < a + c, b + d >[/tex]Subtraction:
[tex]\displaystyle < a, b > - < c, d > = < a - c, b - d >[/tex]

ApplicationStep 1: Define

Let's organize what the problem gives us:

We are given a vector [tex]\displaystyle \vec{s} = < -2, 9 >[/tex]We are given another vector [tex]\displaystyle \vec{t} = < -1, 1 >[/tex]We are asked to find the sum [tex]\displaystyle \vec{s} + \vec{t}[/tex]

Step 2: Work

In order to add vectors, we simply combine each of the respective components from both vectors. This can be visualized via Vector Properties above. We apply that concept in this problem:

[tex]\displaystyle\begin{aligned}\vec{s} + \vec{t} & = < -2 + -1, 9 + 1 > \\& = \boxed{ < -3, 10 > }\end{aligned}[/tex]

Answer

[tex]\displaystyle \therefore \boxed{ \vec{s} + \vec{t} = < -3, 10 > }[/tex]

___

Topic: Pre-Calculus

Unit: Vectors

Related Questions

Film: Scream 1996

How does Sydney Prescott uses her knowledge to avoid becoming the next victim?

Answers

The way in which Sydney Prescott uses her knowledge to avoid becoming the next victim is by using her knowledge as a horror movie expert and daughter to a murder victim to evade her attackers

What is a Movie Scene?

A scene is a pivotal moment in a narrative that occurs between particular characters at a particular time and place. The phrase is used in both theater and film, albeit there are notable differences between the two

With this in mind, it can be seen that because of her previous knowledge as a survivor and a daughter to a murder victim, Sydney Prescott is very careful in her movements and careful not to leave herself exposed./

Answers

Aggregate demand will be higher than output at full employment if the economy has an inflationary gap. As a result, the nominal waves will rise along with the level of prices.

How to explain the diagram

However, because the price increase will be bigger than the nominal pay increase for rice, real wages would decline.

A decline in net exports will lower the economy's overall demand. Therefore, in response to the decline in demand, producers will reduce their output. A decrease in employment will result from a decline in production.

The new equilibrium point lies at E2 if the government does not implement a Parda policy to change the equilibrium. If net exports are high, this will reduce aggregate demand, which will cause the demand curve to shift to the left. Here, the wage rate has decreased, which will lower the cost of manufacturing and allow the company to increase production by hiring more workers.

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Stages of Life Assignment

Part I: Please use the chart below to complete your “Stages of Life” assignment. On the chart, make sure that you include at least two investment considerations and one investment option that is appropriate for each stage of life.

Stage of Life
Investment Considerations
(Think about what this type of person is going through and needs to consider when investing).
Appropriate Investment Option(s)
Single Person

Young Family and/or Early Working Years

Mature Family and/or Later Working Years

Older Family and/or Retirement

Part II: Explain in detail at least one regulation that is in place that is designed to protect both consumers and investors in regard to investing.

Part III: Compare and contrast at least two of the following long-term retirement investments, Roth, IRA, 403 (B), 401 (K). Explain how two of these are similar and different.

Answers

Part II: A regulation that has been put in place to aid both consumers and investors in terms of investing is called the Securities Act of 1933.

What are the Stages of Life?

The Securities Act of 1933 is known to be an act that needs firm or companies that are said to be issuing securities to give total disclosure of all key information to all of their potential investors.

Therefore, This gives room for investors to make better and goood decisions before they are investing in a company. The act is one that needs all of securities to be sold via registered brokers and dealers, which needs to be licensed and regulated.

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What is the primary purpose of the destination address?
• It helps the sending computer know how long to wait before retrying
It tells the router where the packet came from
• It helps the router know where to send the packet
• It prevents the packet from being intercepted by cybercriminals
• It helse the receiving computer reassemble the packets

Answers

• It helps the router know where to send the packet.

(a) An economy is currently operating in long-run equilibrium. Draw a graph of its short-run aggregate supply, aggregate demand, and long-run aggregate supply. Label the equilibrium price level and the full-employment output YF.

(b) If the natural rate of unemployment in this economy is 4 percent and the frictional unemployment rate is 3 percent, what must be the structural unemployment rate?

(c) Draw a new graph that shows an economy operating with an inflationary gap. Include the SRAS, AD, and LRAS. Label the equilibrium price level, real output level, and full employment output YF.

(d) The economy from part (c) is in short-run equilibrium. If the aggregate quantity of output demanded in this economy is $3 trillion, what must the aggregate quantity of output supplied?

(e) Is the long-run aggregate supply for this economy below, equal to, or above $3 trillion? Explain.

Answers

The terms AD, SRAS, and LRAS in this graph stand for aggregate demand, short-run aggregate supply, and long-run aggregate supply, respectively. The graph also shows the output at full employment (YF) and the equilibrium price level (P*).

Natural unemployment rate minus frictional unemployment rate equals the structural unemployment rate, which is 4% - 3%. = 1%

How to explain the graph

The equilibrium price level has risen to P1 in this graph, and the real output level has risen to Y1. The output level YF at full employment stays the same. Aggregate demand is represented by AD, short-run aggregate supply is represented by SRAS, and long-run aggregate supply is represented by LRAS.

(It should be noted that to determine the total amount of output delivered in short-run equilibrium, we must know the whole amount of output demanded in this economy, which is $3 trillion. Looking at the intersection of the SRAS and AD curves can help us do this. Say output level Y2 is where this junction point is located. At output level Y2, the total amount of output supplied would then be $3 trillion.

The level of output that an economy can create over the long run, as dictated by the economy's resources, technology, and institutions, is represented by the long-run aggregate supply (LRAS). In the near run, it is unaffected by changes in aggregate demand or price level. Here, the short-run equilibrium output level Y2 is greater than the output level YF associated with full employment. This shows that there is too much demand in the economy and that businesses are creating more than they can sustain over the long term. Since the economy can only create $3 trillion over the long run at its full employment production level YF, the long-term aggregate supply for this economy is more than $3 trillion.

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Assume a country's banking system has limited reserves. Suppose that the central bank buys $400 billion worth of
government securities from the public. If the required reserve ratio is 20 percent, the maximum increase in the
money supply is
(A) $1,600 billion
(B) $1,800 billion
(C) $2,000 billion
(D) $2,200 billion
(E) $2,400 billion

Answers

Answer:

Explanation:

The maximum increase in the money supply is determined by the money multiplier formula, which is:

money multiplier = 1 / reserve requirement

In this case, the reserve requirement is 20%, or 0.2, so the money multiplier is:

money multiplier = 1 / 0.2

= 5

This means that for every dollar of reserves, the banking system can create up to $5 of new money. Since the central bank bought $400 billion worth of government securities, this means that the banking system now has an additional $400 billion in reserves that it can use to create new money. Therefore, the maximum increase in the money supply is:

maximum increase in money supply = money multiplier x increase in reserves

= 5 x $400 billion

= $2,000 billion

Therefore, the answer is (C) $2,000 billion.

what did columbus do

Answers

Answer: Columbus discovered the 'new world' in 1492 which soon led to the exploitation of natives due to silver being found and using them as slaves for the mine, once a majority of them died they switched to africans and thus the slave trade was born.

Explanation:

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