Find the square roots of the complex number [-80-18i ] and solve the.pdf

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Find the square roots of the complex number [-80-18i ] and solve the following quadratic equation. [4z^2+(16i-4)z+(65+10i) = 0] Solution Let [sqrt(-80-18i)=a+ib] squaring both side [-80-18i=a^2-b^2+2abi] coparing real and magnary parts both side [a^2-b^2=-80] [2ab=-18] But [(a^2+b^2)^2=(a^2-b^2)^2+4a^2b^2] [(a^2+b^2)=(-80)^2+(-18)^2] [=6400+324=6724] [a^2+b^2=+-82] Now solve [a^2-b^2=-80] [a^2+b^2=+-82] [If] [a^2-b^2=-80] [a^2+b^2=82] [Then] [a=+-1 and b=+-9] [if] [a^2-b^2=-80] [a^2+b^2=-82] [a=+-9 and b=+-1] [Thus] [sqrt(-80-18i)=+-1+-9i] [or] [sqrt(-80-18i)=+-9+-i] [4z^2+(16i-4)z+(65+10i)=0] [z=(-(16i-4)+-sqrt((16i-4)^2-16(65+10i)))/8] [=(-(16i-4)+-sqrt(-256+16-128i-1040-160i))/8(] [=(-(16i-4)+-sqrt(-1280-288i))/8] [=(-(4i-1)+-sqrt(-80-18i))/2] [Thus] [z=(-4i+1+-1+-9i)/2] [and] [z=(-4i+1+-9+-i)/2].

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The Centers for Disease Control developed the Youth Risk Behavior Surveillance System (YRBSS) to monitor six categories of priority health risk behaviors among youth: behaviors that contribute to unintentional injuries and violence; tobacco use; alcohol and other drug use; sexual behaviors that contribute to unintended pregnancy and sexually transmitted diseases; unhealthy dietary behaviors; and physical inactivity. A multistage sample design is used to produce representative samples of students in grades 9 to 12, who then fill out a questionnaire on these behaviors. The data below are for the questionThe Centers for Disease Control developed the Youth Risk Behavior Surveillance System (YRBSS) to monitor six categories of priority health risk behaviors among youth: behaviors that contribute to unintentional injuries and violence; tobacco use; alcohol and other drug use; sexual behaviors that contribute to unintended pregnancy and sexually transmitted diseases; unhealthy dietary behaviors; and physical inactivity. A multistage sample design is used to produce representative samples of students in grades 9 to 12, who then fill out a questionnaire on these behaviors. The data below are for the question Solution Description of the System: The Youth Risk Behavior Surveillance System (YRBSS) monitors six categories of priority health-risk behaviors among youth and young adults: 1) behaviors that contribute to unintentional injuries and violence; 2) tobacco use; 3) alcohol and other drug use; 4) sexual behaviors that contribute to unintended pregnancy and sexually transmitted diseases (STDs), including human immunodeficiency virus (HIV) infection; 5) unhealthy dietary behaviors; and 6) physical inactivity. In addition, YRBSS monitors the prevalence of obesity and asthma. YRBSS includes a national school-based Youth Risk Behavior Survey (YRBS) conducted by CDC and state and large urban school district school-based YRBSs conducted by state and local education and health agencies. This report summarizes results from the 2011 national survey, 43 state surveys, and 21 large urban school district surveys conducted among students in grades 9–12. Results: Results from the 2011 national YRBS indicated that many high school students are engaged in priority health-risk behaviors associated with the leading causes of death among persons aged 10–24 years in the United States. During the 30 days before the survey, 32.8% of high school students nationwide had texted or e-mailed while driving, 38.7% had drunk alcohol, and 23.1% had used marijuana. During the 12 months before the survey, 32.8% of students had been in a physical fight, 20.1% had ever been bullied on school property, and 7.8% had attempted suicide. Many high school students nationwide are engaged in sexual risk behaviors associated with unintended pregnancies and STDs, including HIV infection. Nearly half (47.4%) of students had ever had sexual intercourse, 33.7% had had sexual intercourse during the .

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The case for the Federal Reserve independence includes the idea that A. Political pressure would impart inflationary bias to monetary policy B. A politically insulted Fed would be more concerned with long run objectives and thus be a defender of a sound dollar and a stable price level C. A Federal Reserve under the control of Congress or the President might make the so called political business cycle more pronounced D. All of the above Solution The answer would be all the above because with indipendent Fed, all the decisions can be taken indipendently in the interst of the economy rather than the interst of the government..

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The Brunswick Research Organization surveyed 50 randomly selected individuals and asked them the primary way they received the daily news. Their choices were via newspaper (N), television (T), radio (R), or Internet (I). Construct a categorical frequency distribution and the appropriate graph for the data and interpret the results. N N T T T I R R I T I N R R I N N I T N I R T T T T N R R I R R I N T R T I I T T I N T T I R N R T Solution Choice Count N 10 T 16 R 12 I 12 now use a bar chart to graph the data you will see the Newspaper bar goes up 10 units, the Television goes the highest at 16 units, the next highest are both the Radio and Internet with 12 units.

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The Bean Counter and the Cowboy The morning project team meeting promised to be an interesting one. Tensions between the representative from marketing, Susan Scott, and finance, Neil Schein, have been building for several weeks now Solution 1)Was the argument today between Neil and Susan the true conflict or a symptom? What evidence do you have to suggest it is merely a symptom of a larger problem? The interaction is evidence of more deep-rooted antagonisms between Neil and Susan and reflects a fundamental lack of appreciation for what each person brings to the project. Not only does each person view their own contributions as important, they minimize the value added by the other. Neil clearly resents the activities (including trips) that are part of Susan.

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The basic idea of Schumpeterian Business Cycles is that new technologies require creative destruction but will yield positive growth. These two opposing forces have impacts onto the real economy at different times, which will create fluctuations around the trend. Romer (1986) has these effects in an explicit growth model, but he neglects the business cycle fluctuations. Has there been any literature of business cycles based on the idea of Schumpeterian Growth? Solution I will toot my own horn and cite - Phillips and Wrase. (2006) \"Is Schumpeterian.

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The basic protocols would not address which of the following? Message size, sequence, and format Message routing instructions Error detection and correction Message authentication Solution d. Message authentication A basic protocol is a set of rules governing a specific time sequence of events. It defines the method of formatting bits of data and messages for transmission, routing, and identification of messages including error detection and correction. However, it does not address a message authentication, which is a security feature..

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the base of exponential solve 14^(14x+1)=5^x, but the bases are not equal. the eq. has solutions? Solution 14^(14x+1) = 5^x To solve, we will apply the logarithm to both sides. ==> log 14^(14x+1) = log 5^x Now we will use the logarithm properties to solve. We know that log a^b = b^log a ==> (14x+1)*log 14 = x *log 5 Now we will divide by log14*x ==> (14x+1)/x = log5/log14 ==> 14 + 1/x = log5/log14 ==> 1/x = log5/log14 - 14 = -13.39 ==> x = 1/-13.39 = -0.0746 ==> Then, the solution for the equation is x = -0.0746.

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