TuesdACT Video Red Book Math Test 4 #48 - Integers

In this episode of TuesdACT, we are taking a look at the principles of multiplying and adding even and odd numbers using an example from The Real ACT Prep Guide that lots of students struggle with. Real ACT Prep Guide Test 4 Question 48 on page 599, we are coming for you! Check out the video or read below for the explanation and a little lesson on even and odd integers. If is a positive integer, which of the following expressions must be an odd integer? F. G. H. J. K. Alright, let’s pause and go over principles of adding, subtracting, and multiplying odd and even numbers. Here’s how it shakes out. Even + Even = Even Even + Odd = Odd Odd + Odd = Even Even x Even = Even Even x Odd = Even Odd x Odd = Odd You don’t need to memorize the rules; if you forget, just go through the examples with easy numbers like 2 and 3 and see what happens. It will be the same for all even and odd numbers. So, for example: Even + Even = Even 2 + 2 = 4 Even + Odd = Odd 2 + 3 = 5 Odd + Odd = Even 3 + 3 = 6 Even x Even = Even 2 x 2 = 4 Even x Odd = Even 2 x 3 = 6 Odd x Odd = Odd 3 x 3 = 9 Question 48 is also a great example of how you can find important clues in the answer choices on the ACT. Notice that all of our answer choices have the number 3 in them, so all of our answer choices are doing something with an odd number. Now let’s test with values for . Don’t forget that we don’t know whether is even or odd, so we need to test for both cases. Answer Choice F: 3 is raised to a power of . If is even (2), this gives us 3 x 3 (ODD x ODD = ODD). If is odd (3), this gives us 3 x 3 x 3 (ODD x ODD x ODD), which is also always odd. Since an odd number multiplied by an odd number is always an odd number, and because in this case we are just multiply 3 (an odd number) by itself a number of times, it will always be odd. So F is our answer, but let’s check the rest. Answer Choice G: is raised to a power of 3. So if is odd, then we have 3 x 3 x 3 (ODD x ODD x ODD) and we know that ODD x ODD = ODD. But if is even then we have 2 x 2 x 2, and EVEN x EVEN = EVEN. So is not necessarily odd. Answer Choice H: . So if is even (2), we have 3 x 2 (ODD x EVEN = EVEN); if is odd, we have 3 x 3 (ODD x ODD = ODD). So is not necessarily odd. Answer Choice J: . This is an interesting one, because if we pick a value for that does not divide evenly by 3, then it is actually neither even nor odd. By rule, the terms even or odd apply only to integers not to fractions. Answer Choice K: . So if is even (2), then we have 3 + 2 (ODD + EVEN = ODD); if is odd, then we have 3 + 3 (ODD + ODD = EVEN). So is not necessarily odd. So our answer is F.

Historical and Scientific Perspectives on Homosexuality Essay

According to Rathus, Nevid, and Fichner-Rathus, (2005) the term homosexuality denotes sexual interest in members of one’s own anatomic sex and applies to both_ _men and women. Homosexual males are often referred to as gay males and homosexual females or referred to as lesbians. Gay males and lesbians have existed throughout history. The historical and scientific perspectives on homosexuality have shaped the way gay individuals perceive themselves in various ways. These perspectives may also be beneficial to heterosexuals understanding of others in our world of sexual diversity. When looking at historical perspectives, religion and past societies sexual behavior is addressed. Although past Greek and Roman cultures were frequently†¦show more content†¦The scientific perspective of homosexuality is whether homosexuality is caused by environmental influences or whether gay individuals are born that way. This question has been pondered byscientists for decades, but there i s strong evidence to support the idea that homosexuality is an inborn characteristic. Research done on both identical and fraternal twins, show that there are higher concordance rates of gay monozygotic twins. Rathus, Nevid, and Fichner-Rathus, (2005) report that about â€Å"52% of identical (MZ) twin pairs were found to be â€Å"concordant† (in agreement) for a gay male sexual orientation, compared with 22% of fraternal (DZ) twins and only 11% of adoptive brothers† (p. 312). Also, evidence has suggested that hormonal influences could be responsible for differences in sexual orientation. Rathus, Nevid, and Fichner-Rathus (2005) explain that prenatal sex hormones be responsible for tissues in the brain to think sexually one way, but for genital development to be the other way. Also, structural examinations on the brains of heterosexual and homosexual males have provided speculative evidence that a part of the hypothalamus in gay males is smaller than that region of the hypothalamus in heterosexual males. The scientific perspectives have helped many gay people come to terms with themselves, which has made coming out easier. Before scientific evidence provided clues that homosexuality could be inborn, manyShow MoreRelatedHistorical and Scientific Perspectives on Homosexuality907 Words   |  4 PagesHistorical and scientific perspectives on homosexuality In contemporary Western culture, choices about romantic love and sexuality are a critical aspect of individual self-definition. Whether someone is homosexual or heterosexual is thus also considered to be a crucial aspect of who he or she is as a human being. In previous eras, where individuals were married young, and entered into arranged marriages, this was not the case. 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It is also evident in the slowed progress of the discovery of new medical treatments for mental disorders since a capitalistic societal ideology encouragesRead MoreEthical and Religious Article Reviews1132 Words   |  4 PagesSeow, C. L. Homosexuality and Christian Community. Louisville, Ky: Westminster John Knox Press, 1996. In his article â€Å"Relations Natural and Unnatural,† Richard B. Hays states that after deciding what Paul thought concerning homosexuality, we should still decide â€Å"how to construe the authority of his opinion in the present time.† There are many open questions about how the bible functions as an authority for normative ethical judgments. We cannot ease ourselves of the obligation for moral decision

Role of HR Function in Developing Strategy That Ensures Cost Cutting w Literature review

Essays on Role of HR Function in Developing Strategy That Ensures Cost Cutting while Maintaining the Desired Level of Human Capital Literature review The paper â€Å"Role of HR Function in Developing Strategy That Ensures Cost Cutting while Maintaining the Desired Level of Human Capital† is an outstanding version of a literature review on human resources. Modern business environments are characterized by increased competition within and across organizations and industries, financial and economic meltdowns, rising pressures to minimize costs, increased expectations from customers, changing consumer needs, tastes and preferences, the invariable pressure to achieve global competitive challenges and capitalizing on opportunities presented by progress in information technology systems. With such dynamics, the function of the HR has transformed greatly in ways not envisaged a decade ago which includes centralizing and decentralizing the HR functions, redefining roles, business needs getting more priority in delivery of HR services and more significantly, automation, streamlining and reengineering of majority of regular transactio nal activities of HR functions (Armstrong, 2006).Concomitantly, considerations such as reducing costs, satisfying customers and the increased need for flexibility, efficiency and quality remain the critical success factors for players in the global business arena, which has in effect, generated change in human resource planning. More often than not, economic and financial recessions generate negative attitudes about HR since they are charged with the responsibility of laying people off and cutting programs in line with the organizational directives as noted by Lussier (2011). In times of recessions, the management is usually too preoccupied with organizational survival and the need to reduce costs considerably that there is limited time allocated to strategic development efforts. Snell Bohlander (2012) indicates that what is oblivious to the management is that margins are inadvertently reduced in the haste to generate satisfying expense line items that have an impact of minimizing the short to the long-term competitiveness of the organization. Therefore, HR is accountable for ensuring that the organization is able to strike the balance in cost-cutting and maintaining the desired level of human capital without necessarily threatening the long-term competitive advantage and sustainability of the organization.Role of the HR function in developing strategy that ensures cost-cutting while maintaining the desired level of human capitalIn regards to GCMS, the main challenge is striking the right balance in ensuring that it preserves its committed, reliable and productive human capital while ensuring that there is sufficient cash flow during the recession period and after the recession period has passed. The role of the HR function, therefore, is to develop programs, which will generate fast behavioral effect on costs and margins since development of programs that do not offer quicker solutions in relation to cutting costs will not generate sufficient support from th e management who are focused and interested in fast impact initiatives as suggested by Snell Bohlander (2012).The HR is accountable for ensuring that the developed programs have the elements of ownership where all stakeholders including the management and the labor force within GCMS are accountable for the financial results of their decisions and performance respectively. This will entail developing systems to establish business acumen where the labor force and the management see the connection between their actions and financial results in order for them to modify their actions and decisions accordingly and appropriately (Lussier, 2011). The HR’s role in the situation also would entail designing programs that promote innovation through the allocation of low budget. These have the potential to stimulate enhanced creativity and innovation among workers as they seek ways in which they can improve their performance and increase their outputs using limited/ low budgets hence, su rviving the harsh economic times with no one being laid off (Snell Bohlander, 2012).

Blood Brothers Evaluative Phase Essay Example For Students

Blood Brothers Evaluative Phase Essay During the period of the 1960s, a mother gives one of her twin sons to a woman she works for. Seven years later, the twins meet and form a friendship that is forbidden by their mothers. Ironically, due to circumstances, the families end up moving next to one another, not by choice. Predictably, the twins unite again.  Later on in the story, one twin ends up in jail, whereas the other attends University. Finally, one day, the twins discover that they are related, and tragically die on that day. The key moments of the performance were when the twins met and willfully became Blood Brothers. Another key moment was when the twins discover the shocking truth of being related and, predictably, yet tragically die on that day.  The set was very basic; however, this simplicity brought our focus on the actors and other stimuli which had more significance in the performance. Also, the set worked well showing wealth in the Lyons house and the poverty/discomfort on the black set (streets). The cast performed very well. Each actor was well absorbed into their role, managing to portray their character realistically. The characterization was the whole essence of the performance. My favorite character was Edward. I was quite humored by the lollipop, stockings, accent, and behavior. Edwards accent reminded the audience of his class. The Lyons are well-spoken, suggesting a good education. The costumes were impressive, providing strong individuality. My favorite costume was, again, Edwards. Although, it was clichà ¯Ã‚ ¿Ã‚ ½ choosing lollipops and stocking to symbolize youth and innocence, it was effective on stage because the stage was simplistic and the costumes of other actors were too, Edward provided the contrast, so every time he emerged on stage, he captured not only the audiences attention, but also major interest and humor. I noticed a lack of props. Perhaps, reason being, to keep focus on the acting, rather than lose focus by looking at props. The props used were quite symbolic, perhaps, some even used to further define a character, e.g. the podium that Edward used. It further brought his class, intellect and professionalism into reminder.  We see Mickey and Eddie playing games of gunfights (in which the props are guns), which we find more poignant as we already foresee their death-scene. Lighting, to be honest wasnt very visible due to the fact that the play was performed at day time. However, whenever the narrator appeared in the performance, an ominous red light appeared around him, which was visible on a contrasting black stage. Also, spotlights were used during important freeze frames, at the end of key scenes in the play.  Music was also used, but in crucial scenes, only two, such as the opening narrators speech and in Mickeys prison cell. The music played as the narrator spoke, combining the speech with music worked well, providing a more meaningful aspect to what the narrator is saying. Also, the significance of the music draws the audiences attention to the speech and characters importance. The script was shortened for the production due to the time limitations. Also, it contains many songs as it itself is a musical; however, songs werent used in this performance. This was a shame because the songs held a large aspect of mood, helping the audience to adapt to the moods of the characters and understand them better. The rhythm, tonality, face expression and voice all play a major part in setting a mood, atmosphere and emotions of the characters, as well as the audience. The theme of adolescence and heredity is touched while we witness the two brothers experience very different backgrounds. The contrast between the two brothers brings comedy to the performance due to their differences. When we first meet Eddie, as a child, he is very adult in his gestures and is polite. We sense that Mrs. Lyons has been protective of him and forbid him to play with other boys in anarchic, raucous games, so it is predictable that Eddie will be influenced by Mickey who is totally untamed. We see that Eddie has been raised into a well-spoken, middle-class boy, whereas Mickey remains a working-class, untamed hooligan. However, when Eddie turns to the Johnstone household; I think that fate and heredity was pulling him back to his roots. Suggesting, no matter their differences, they still grew from the same root. .u86e7d8e3003613cf6076cda42a20198e , .u86e7d8e3003613cf6076cda42a20198e .postImageUrl , .u86e7d8e3003613cf6076cda42a20198e .centered-text-area { min-height: 80px; position: relative; } .u86e7d8e3003613cf6076cda42a20198e , .u86e7d8e3003613cf6076cda42a20198e:hover , .u86e7d8e3003613cf6076cda42a20198e:visited , .u86e7d8e3003613cf6076cda42a20198e:active { border:0!important; } .u86e7d8e3003613cf6076cda42a20198e .clearfix:after { content: ""; display: table; clear: both; } .u86e7d8e3003613cf6076cda42a20198e { display: block; transition: background-color 250ms; webkit-transition: background-color 250ms; width: 100%; opacity: 1; transition: opacity 250ms; webkit-transition: opacity 250ms; background-color: #95A5A6; } .u86e7d8e3003613cf6076cda42a20198e:active , .u86e7d8e3003613cf6076cda42a20198e:hover { opacity: 1; transition: opacity 250ms; webkit-transition: opacity 250ms; background-color: #2C3E50; } .u86e7d8e3003613cf6076cda42a20198e .centered-text-area { width: 100%; position: relative ; } .u86e7d8e3003613cf6076cda42a20198e .ctaText { border-bottom: 0 solid #fff; color: #2980B9; font-size: 16px; font-weight: bold; margin: 0; padding: 0; text-decoration: underline; } .u86e7d8e3003613cf6076cda42a20198e .postTitle { color: #FFFFFF; font-size: 16px; font-weight: 600; margin: 0; padding: 0; width: 100%; } .u86e7d8e3003613cf6076cda42a20198e .ctaButton { background-color: #7F8C8D!important; color: #2980B9; border: none; border-radius: 3px; box-shadow: none; font-size: 14px; font-weight: bold; line-height: 26px; moz-border-radius: 3px; text-align: center; text-decoration: none; text-shadow: none; width: 80px; min-height: 80px; background: url(https://artscolumbia.org/wp-content/plugins/intelly-related-posts/assets/images/simple-arrow.png)no-repeat; position: absolute; right: 0; top: 0; } .u86e7d8e3003613cf6076cda42a20198e:hover .ctaButton { background-color: #34495E!important; } .u86e7d8e3003613cf6076cda42a20198e .centered-text { display: table; height: 80px; padding-left : 18px; top: 0; } .u86e7d8e3003613cf6076cda42a20198e .u86e7d8e3003613cf6076cda42a20198e-content { display: table-cell; margin: 0; padding: 0; padding-right: 108px; position: relative; vertical-align: middle; width: 100%; } .u86e7d8e3003613cf6076cda42a20198e:after { content: ""; display: block; clear: both; } READ: A Critical Review of Baz Luhrmann's Romeo and Juliet EssayWe also see social class as a theme. Mickey and Eddie, trying to overcome the class boundaries and protect their friendship. There are signs of class separation e.g. the use of costumes. The costumes invite us to make a judgment about each character. Eddie emerges with neat stockings Mickey emerges in rough denim. The accents were also a big aspect, again reminding us of the class division. Eddie and the Lyons are articulate; suggesting a good education; whereas the Johnstone family share a Liverpudlian accent, suggesting lack of education.  The theme of superstition is brought to attention as the narrator remind s us about the curse of the twins, once parted, dying on the same die.