SAT Math Basics - Algebra

The good news: the algebra tested on the SAT is pretty straightforward. The bad news: if you are not up on your basics, then you are in trouble. Below, is the one major tip that will help you solve almost any algebraic problem you encounter.    Balancing the equation In an algebra equation, in which there is an equal sign, think of the equation in balance. If you do anything to one side you do the exact same thing to the other side. If you multiply one side by 4, you have to multiply the other side by 4. If you subtract 3 from one side, you subtract 3 from the other side. The goal in balancing the equation is isolation. That’s right you want to isolate x, or get x (or whatever variable happens to be in the equation) by itself. Think of the variable as the unpopular person in the room. Everyone – that is the other numbers – want to get away. 4x + 3 = 15. To get x by itself, first subtract 3 from both sides of the equation. 4x + 3 = 15 -3  Ã‚  Ã‚  Ã‚   -3 4x = 12 Now divide both sides of the equation by 4: 4x/4 = 12/4 x = 3 Let’s try one more: √x = 9 Notice how x has a square root sign on top of it. We want x to be all by itself. Therefore we have to get ride of the square root sign by squaring both sides: (√x)^2 = 9^2 x = 81 Takeaway By correctly isolating x by balancing the equation, you are well on you way to solving most of the algebra on the SAT!

Breast Cancer A Public Health Concern Essay - 1805 Words

According to the United States Breast Cancer Statistics (2016), in 2016 there will be an estimated 246,660 newly diagnosed cases of invasive breast cancer and 61,000 of non-invasive breast cancer among women. For this reason, when studying breast cancer based on a large-scale impact, it not only affects the patient themselves but, as well as their families and communities nationwide. Furthermore, many contributing factors lead to this being such a public health issue. Conclusively, there are specific programs, services, and policies that help to assist the contributing factors of such a public health threat. Nevertheless, breast cancer is still an increasing concern in society, and much-needed research is required to be able to detect and treat this disease. Background on the Community in Breast Cancer Among Women Generally speaking, throughout the United States, Cancer is a public health concern that has a significant impact amongst both men and women. At the same time, Breast Cancer indicates development of a tumor from cells in the breast known as a malignant tumor. Breast Cancer can begin at two different points, either the cells of the lobules, that are milk-producing glands, or the ducts, a channel draining milk from the lobule to the nipple (â€Å"What is Breast Cancer,† 2016). Specifically speaking about Breast Cancer among women, according to the Center for Disease Control and Prevention (2016), it is the most common cancer, regardless of ethnicity or race. Under thoseShow MoreRelatedBreast Cancer : A Major Public Health Concern Among Women1145 Words   |  5 PagesToday a major public health concern amongst women is cancer. Breast cancer is the most common as it affects one in eight women in America, and is also socialized through media more than any other cancerous disease. Uterine cancer accounts for the majority of gynecologic cancer in women but another cancer is known as the â€Å"silent killer†. According to the American Cancer Society, ovarian cancer causes more cancer deaths in women than any other cancer of the reproductive system. Ovarian cancer kills twoRead More Cancer Essay1378 Words   |  6 PagesIn recent years, cancer prevalence has been increasing globally. It is now one of the top 10 causes of death among the middle and high income countries worldwide (World Health Organisation, 2008). In Singapore, cancer has surpassed cardiovascular disease and become the top killer over the last 3 years (Ministry of Health, 2007). Breast cancer tops the chart among Singaporean women (Health Promotion Board, 2007). Thousands of women are diagnosed with breast cancer annually and it causes approximatelyRead MoreBreast Cancer : A Shocking And Very Serious Disease1696 Words   |  7 PagesBreast cancer is a horrifying and very serious disease that should not be underestimated. It is a common cancer in women but the majority of women that are affected by this disease do not know that it can be treated in all sorts of ways or that breast cancer rarely ever appears in the same form more than once. As one of the leading causes of death in the United States, breast cancer is affecting tons of people. Orenstein, a breast cancer survivor, discusses the awareness and education of breast cancerRead MoreThe Treatment Of Breast Implants Essay1498 Words   |  6 Pages Breast Implants In recent years, the demand for this ‘appearance medicine’ has increased rapidly, largely in response to unrealistic media images of ‘perfect’ faces and bodies alike. In Aotearoa New Zealand, doctors who are not qualified as surgeons may perform cosmetic procedures, including invasive surgery. As with any form of major surgery, there are certain risks and side effects linked with cosmetic surgery and variations betweenRead MoreSpeech On Health And Health1220 Words   |  5 PagesHealth promotion remains an important topic for discussion both locally and nationally. It provides a unique opportunity to empower people to make informed choices regarding key health-related behaviors, such as tobacco and alcohol use, sexual practices, dietary choices and physical activity. Good health is an affair which should involve the participation of everyone in the community. Annually, thousands of local residents lose their lives because they do not seek health screening which might preventRead MoreThe American Association Of Nurses907 Words   |  4 Pageshave identified American Public Health Association, an association of public health professionals in the United States and other professionals from health related fields. This association comprise of environmentalists, nurses, doctors, dentists and many other professionals. However, there is more clarity about nurses in the public sector. The American Association of nurses is one of the largest groups registered by APHA. I therefore, choose nurses as a group of public health professionals to researchRead MoreEssay Environmental Causes of Breast Cancer1320 Words   |  6 Pagesthe United States, starting from the first breast cancer case in 1930s to today, a womans lifetime risk of breast cancer increases to one eighth (Gray et al.). Continuously increasing breast cancer rate has caused a lot of concerns among not only ordinary people but also scientists. For decades, scientists have been working on the causes of breast cancer in order to find the corresponding methods of treatment. 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Rae Barbosa College of Western Idaho Summary Very few studies have been completed on the quality of life of post-treatment Latina breast cancer survivors. The purpose of the evidence based practice study was to test whether or not the quality of life for Latina breast cancer survivors was affected by bilingual intervention. The study was composed of two groupsRead MoreThe Burden Of Cancer : Aging And Adoption Of Westernized Lifestyle Like Physical Inactivity1161 Words   |  5 Pagesof cancer is growing globally due to aging and adoption of westernized lifestyle like physical inactivity,smoking etc. Every year nearly 10 million people are diagnosed and 6 million die of cancer globally. Cancers of lung, breast and colorectal region constitute 12.3%, 10.4% and 9.4% of total cancers cases respectively across the globe. Cancer is one of the leading causes of mortality in India. 6 % of all reported deaths are due to cancer. In 2013 there were 14.9 million incident cancer cases

Experience of the Attawapiskat Cree to Ojibwa in relation...

The Attawaspiskat Cree and Ojibwa are a first nations group living in parts of Canada, mainly northern Ontario. The main languages spoken by these first nation groups are Mushkegowuk Cree and Ojibway. I will compare and contrast the experience of the Attawapiskat Cree to Ojibwa in relation to the Canadian Government. This will include analyzing the treaties introduced by the government towards the Cree and the Ojibwa: in particular, treaty 9 will be discussed. In addition, to these treaties the government has divided the first nation community into two different groups: status-Indians and non-status Indians. Within these two groups further division has been accomplished by the allocation of lands know as reserves to status-Indians and†¦show more content†¦Example of social, political and exploitative patterns would include the ways of accommodation, such as living in micro or macro bands and occupying a river drainage or a good fishing site; notion of land ownership; and h unting patters, respectively. Since the incursion of Euro-Canadians in all aspect of Indian life, there have been changes in the traditional land tenure policies held within these societies for centuries. The government has divided the Ojibwa and the Cree into two different categories: status Indians and non-status Indians. Status Indians are those individuals who according to the Indian Act appear on the governments list of registered Indians. Status-Indians are solely dependent on governmental aid and live on lands turned into reserves by the government; they are also exempted from any provincial or federal programs such as income tax and property tax. Non-status Indians are those who have lost their Indian status by governmental enfranchisement. These people cannot live on reserves; land setup by the government for status-Indians, but they can independently own land and must pay taxes. The reserves are created by the Indian Act as, â€Å"the minister may, when he considers it de sirable constitute new bands and when a new band has been established from an existing band or any part thereof, such portion of the reserve lands and funds of the existing band as the minister

Analysis Of Remuneration System Samples †MyAssignmenthelp.com

Question: Discuss about the Analysis Of Remuneration System. Answer: Introduction Remuneration refers to payment or compensation, which is received for services. It includes basic salary as well as any type of bonuses that an employee receives at the time of employment. However, there are principles, can distinguish better remuneration system that is focused on the study. The study has also purposed to critically analyze the impact of remuneration system on a business organization. In addition, OMeara Electronics Company is selected as the case study. It is a private limited company and has high market share in Australia. The organization has had a reasonably high market share in the general electronics sector in Australia. The organization has semi-automated factories which are operated electronics engineers as well as electronics technicians. Analysis of remuneration system Remuneration is an element that directly affects the success of the organization. There are no universal efficient systems that can be applied for specifying several types of businesses along with individuals (Guillen et al. 2015). There are two types of remuneration methods generally used in the business organization such as price rate method as well as time rate method. Remuneration system has a great impact on the employee of an organization. It can motivate the staffs to be more productive. Remuneration can praise or recognition for staffs of an organization. Remuneration awarded to the teams of a particular organization increases the levels of productivity as the team looking out for the collective product of the team. For an example, the sales team of an organization increases existing the account orders as well as producing leads for the new account. In addition, pooling staffs in a team with the collective target increases the productivity of proper remuneration is provided ( Van Dijk et al. 2014). On the other hand, remuneration can increase overall morale of staffs provided the advantages that are regarded as equitable. Moreover, providing tiered or incremental bonus based on the staffs of the organization. In the present case study, an executive staff forum has been set up. In the setup, key executive staffs at the meeting are attended. Newbery (2016) stated that it is important to have positioned-based in remuneration system that is processed in OMeara Electronics. On the other hand, it is required to consider all aspects that can be achieved in the organization. The new system has the beneficial approach as well as gets everything up on the whiteboard. Thus, everyone nodded in the arrangement requires no argument for the particular statement (Houle et al. 2014). A participative approach for new remuneration management system can be helpful for this approach. In this perspective, it is important to process performance management system that can be or ganized in OMeara Electronics. In terms of providing effective remuneration system to the organization, it is required to analyze the organizational performance of O'Meara Electronics. However, it is not easy because of involving a lot of negativity. In order to critically analyze remuneration system of O'Meara Electronics, it is important to evaluate performance goals of the individual (Bertone, Lurton Mutombo, 2016). The organizational goal has an impact on individual targets as well as the performance of the organization. On contrary, it is important to work on the first stage; the staffs are required to work on the lower level of production. In the second stage, setting goals with the help of supervisors as well as managers would be helpful to achieve the target of the organization. Filler, Burkoski and Tithecott, (2014) stated that worker can specify a period where it can be demonstrated by workers. Being a consultant for the system of the organization, it would be helpful to process performance management system, which is based on relations with consumers. Analysis of the system results that there is lacking in processes as well as activities in order to manage performance. The employees of OMeara Electronics have made cle ar that supervisors as well as staffs of the organization do not work together. Thus, supervisors are afraid of getting complaints from the staffs working in the organization for several years. Gershman and Kuznetsova (2014) mentioned that as compensation, as well as reward system, acts an important role in the business of an organization, it is required to have effective remuneration system in OMeara Electronics. Every factor responsible for increasing business of the organization needs to be considered. Labour acts an important role in order to bring about the procedure of business. Along with these, different factors such as human emotions and ambitions at a vital role in the organization. Thus, a fair compensation system would be helpful for the staffs of the organization. An ideal compensation system has the positive impact on efficiency as well as results generated by staffs of the organization. It can encourage staffs of OMeara Electronics in order to perform better as well as achieve the standards fixed. Along with these, it will improve the procedure of evaluating job (Ekdahl, 2014). It will also assist to set up an ideal job assessment as well as set the standards that would be more realistic and achievable. The system needs to be simple as well as flexible so that staffs of OMeara Electronics would be able in order to compute own compensation receivable. However, it is easy for implementing that would not provide result in order to exploit the workers (Mrquez et al. 2015). It will raise morale and efficiency as well as cooperation among the staffs. The system can be helpful for management of the organization in order to comply with several labor acts. Solving disputes between the union as well as management of O'Meara Electronics can be helpful to follow the management of principle of getting equal pay. The remuneration system can be helpful for the organization through motivating and encouraging performance better and needs to provide scopes for staff. In addition, it is required to process effective compensation system that brings peace for relationship of employer as well as staffs of OMeara Electronics (Morrow, 2015). It has aims creation of healthy competition among staffs in order to work hard as well as efficiently. The system needs to provide development as well as advancement scopes to deserving staffs of OMeara Electronics. In addition, it is important to make perfect compensation system that can provide a platform for making happy as well as a satisfied workforce (Wendt, 2014). On the other hand, the organization is able retaining best talent through providing adequate compensation system from switching over to the different job. In addition, the business organization is able to think regarding expansion as well as the development of the organization. It supports to be sk illful and talented as well as the happy workforce. Thus, appropriate compensation system can be helpful for being the hallmark of the organization. Malone and Conway (2015) commented that it is important to have success as well as the prosperity of O'Meara Electronics. Pay-package provides to the staffs of the organization. It is important to make performance and management of the organization that can be helpful for the organization to make sense and creates fruitful outcome. It is important to make a performance that can be helpful for the organization that impacts on performance as well as staff morale (Mossialos et al. 2015). The staffs are required to evaluate the fault policy that can be helpful for making good performance and management that can be achievable at O'Meara Electronics. On the other hand, being the consultant for performance management, it is required to start from the beginning and left for contemplating the process. On the other hand, performance management forum starts for making contemplating the process. Pondering about the process at the organization can be helpful to make effective performance management system. Thus, effective performance management of the system can be helpful to gain an effective idea for remuneration (Renwick et al. 2016). Making performance with zero faul t policy as well as on attitude can make the process better through generating effective idea and system that would be helpful for the organization to be effective in its system (Honor, Munar de La Potterie, 2015). On the other hand, it is important to generate the effective idea that would set up remuneration for the staff forum. Performance management system can engage the staffs forum for the process. Hence, it is important to develop effective remuneration system that can be helpful for making the organization effective management of the organization. It is important to develop the effective idea that can lead to making proper performance management system for the organization. On the other hand, pondering about the process for setting the staff forum needs to consider the potential for promotion as well as their absence (Condo et al. 2014). On the other hand, general administration of the organization requires setting loyalty and potential for promotion as well as their absence. Moreover, OMeara Electronics has been operating for 20 years (Hauck, Thomas, Smith, 2016). Thus, the effective setting of the process can obtain an effective system that leads the development of the system through setting up subsidiaries in several countries in South-East Asia as well as the system that can be helpful for the organization. Remuneration is referred as monetary rewards received by staffs. On the other hand, it is required to have proper remuneration system for the organization. On the other hand, remuneration is different from compensation. It sets earnings of the staffs redeemed in the organization (Neumann, 2013). Along with these, the minimum age is the lowest remuneration employer of O'Meara Electronics can be helpful for the organization. It can be enforced with the help of Federal Law and make the state for which the amount is higher. Developing an idea for intermediate as well as intermediates would be helpful to format and calculate as well as model data. On the other hand, being on salary can make the process easier taking absences from work. Most of the businesses and staffs are paid hourly need to schedule absences as well as take paid leave if they are not present. It is important to make an appropriate system for the organization (Arnason Gissurarson, 2017). Hence, it is important to develop effective remuneration system for employees of the organization through which the organization can gain competitive advantages in the market. Recommendation Remuneration refers to total compensation that can be received with the help of executive that includes base salary and gets a bonus as well as expense accounts as well as different forms of compensation. On the other hand, the amount of remuneration can be helpful to make an effective system for the organization. Thus, it requires taking proper strategy regarding remuneration system of the organization. The organization needs to follow government rules and regulation regarding distribution of compensation and implementing effective compensation system. In addition, the non-discrepancy policy would be helpful in this aspect. Conclusion From the above discussion, it can be concluded that effective remuneration system has an important role for employees of an organization. The Fair Labor Standard Act can classify employees and certain professionals as well as executives through exempting the process. Thus, with the help of effective remuneration system, the organization can gain benefits. In addition, wages are required to pay on legal obligations in order to get sufficient share of the relevant labor markets and providing fair reward and incentive to the employees so that they can give their potential in the workplace and achieve the target of the organization. References Arnason, R., Gissurarson, H. H. (2017).Individual transferable quotas in theory and practice(Vol. 4). Almenna bkaflagi. Bertone, M. P., Lurton, G., Mutombo, P. B. (2016). Investigating the remuneration of health workers in the DR Congo: implications for the health workforce and the health system in a fragile setting.Health policy and planning,31(9), 1143-1151. Condo, J., Mugeni, C., Naughton, B., Hall, K., Tuazon, M. A., Omwega, A., ... Binagwaho, A. (2014). Rwandas evolving community health worker system: a qualitative assessment of client and provider perspectives.Human resources for health,12(1), 71. Ekdahl, A. W. (2014). The organisation of hospitals and the remuneration systems are not adapted to frail old patients giving them bad quality of care and the staff feelings of guilt and frustration.European Geriatric Medicine,5(1), 35-38. Filler, G., Burkoski, V., Tithecott, G. (2014). Measuring physicians productivity: A three-year study to evaluate a new remuneration system.Academic Medicine,89(1), 144-152. Gershman, M., Kuznetsova, T. (2014). Performance-related pay in the Russian RD sector.Foresight-Russia,8(3), 58-69. Guillen, J., Macher, C., Merzraud, M., Boncoeur, J., Guyader, O. (2015). Effects of the share remuneration system on fisheries management targets and rent distribution.Marine Resource Economics,30(2), 123-138. Hauck, K., Thomas, R., Smith, P. C. (2016). Departures from cost-effectiveness recommendations: the impact of health system constraints on priority setting.Health Systems Reform,2(1), 61-70. Honor, F., Munari, F., de La Potterie, B. V. P. (2015). Corporate governance practices and companies RD intensity: Evidence from European countries.Research policy,44(2), 533-543. Houle, S. K., Grindrod, K. A., Chatterley, T., Tsuyuki, R. T. (2014). Paying pharmacists for patient care: a systematic review of remunerated pharmacy clinical care services.Canadian Pharmacists Journal/Revue des Pharmaciens du Canada,147(4), 209-232. Malone, A., Conway, D. I. (2015). Payment methods may influence behaviour of primary care dentists.Evidence-based dentistry,16(1), 4. Mrquez, L., Rosado, D. G., Mouratidis, H., Mellado, D., Fernndez-Medina, E. (2015, June). A framework for secure migration processes of legacy systems to the cloud. InInternational Conference on Advanced Information Systems Engineering(pp. 507-517). Springer, Cham. Morrow, N. C. (2015). Pharmaceutical policy Part 1 The challenge to pharmacists to engage in policy development.Journal of pharmaceutical policy and practice,8(1), 4. Mossialos, E., Courtin, E., Naci, H., Benrimoj, S., Bouvy, M., Farris, K., ... Sketris, I. (2015). From retailers to health care providers: transforming the role of community pharmacists in chronic disease management.Health Policy,119(5), 628-639. Neumann, D. A. (2013).Kinesiology of the Musculoskeletal System-E-Book: Foundations for Rehabilitation. Elsevier Health Sciences. Newbery, D. (2016). Missing money and missing markets: Reliability, capacity auctions and interconnectors.Energy Policy,94, 401-410. Renwick, M. J., Smolina, K., Gladstone, E. J., Weymann, D., Morgan, S. G. (2016). Postmarket policy considerations for biosimilar oncology drugs.The Lancet Oncology,17(1), e31-e38. Van Dijk, C. E., Verheij, R. A., Te Brake, H., Spreeuwenberg, P., Groenewegen, P. P., De Bakker, D. H. (2014). Changes in the remuneration system for general practitioners: effects on contact type and consultation length.The European Journal of Health Economics,15(1), 83-91. Wendt, C. (2014). Changing healthcare system types.Social policy administration,48(7), 864-882.

Solid Geometry Essay Example

Solid Geometry Essay SOLID MENSURATION REVIEWER (2 Semester 2011-2012) PYRAMIDS 1. A vessel is in the form of an inverted regular square pyramid of base edge 13 cm and the altitude is 25 cm, how many liters are in it when the depth of the water is 15 cm? A(small Square) h(Water) A(Big Square) = h(container) 2 A(small Square) 15 2 = 252 13 2 2 (15 )(13 ) 2 A(small Square) = 25 2 A(small Square) = 60. 84cm 1 V = 3 Bh 1 V= 3 (60. 84)(15) 3 V=304. 2 cm ? 0. 304. 2 L 2. The lateral faces of a regular square pyramid are o isosceles triangles whose base angles are 55 each. If the ateral edge is 200 cm, find the lateral area and volume of the pyramid. 2 2 2 l – slant height h =(163. 83) – (114. 72) l o sin55 =200 h=116. 96 cm o l=200sin55 l=163. 83 cm e o cos55 =200 o 200cos55 =e e=114. 72 2e=229. 4 cm (163. 83)(229. 4) 2 2 S = 75,175. 2 cm S= 2 (229. 4 )(116. 96) 3 3 V= 2,051,181. 2cm V= 4. Find the volume and total surface area of a frustum of a regular hexagonal pyramid if the base edges are 8 cm and 6 cm, respectively and the altitude is 20 cm. hf V= 3 [B+B1+sqrt. (BB1)] hf 3 3 33 2 2 V= 3 ? 2 ? (6 ) + ? 2 ? (8 ) + ? ? ? ? ()() 33 2 33 2 2 (6 ) + V = 2563. 47 cm 2 (8 ) 3 r1 = 2 (6) = 5. 2 cm 3 r2 = 2 (8) = 6. 93 cm r2-r1 = x x=6. 93-5. 2 x=1. 73 2 2 l =20 + 1. 73 l= 20. 07cm *x- yung base ng right triangle 2 20. 07[(6)(6)+(6)(8)] 2 2 S=842. 94 cm S= CONES 2 1. The total area of right circular cone is 48? cm . If the altitude of the cone is equal to the diameter of the base, find the slant height and R. h=d h=2R 2 2 l= h +R 2 2 l = 4R +R l= 5 R 2 Atotal= ? Rl+? R 2 48? =? R( 5 R)+? R 2 2 48? = ? R 5 +? R 2 48? =R (? 5 +? ) 2 R =14. 83 cm R= 3. 85 cm 2. A tool is made up of a cone on top of a cylinder. We will write a custom essay sample on Solid Geometry specifically for you for only $16.38 $13.9/page Order now We will write a custom essay sample on Solid Geometry specifically for you FOR ONLY $16.38 $13.9/page Hire Writer We will write a custom essay sample on Solid Geometry specifically for you FOR ONLY $16.38 $13.9/page Hire Writer The 3. A pyramid having a altitude of 450 cm and a base with an area of 930 cm is cut 120 cm from the vertex by a plane that is parallel to the plane of the base. Find the area of the section. 2 A(small) h (small) = h2 A(big) (original height) 2 A(small) 120 =4502 930 2 (120 )(930) 2 A(small)= 4502 = 66. 13 cm cylinder has a height h of 15 cm and a radius of 5 cm. The 2 volume of the cone is 100 ? cm . O is the vertex of the cone, AB is the diameter of the base of the cone and C its Center. Points O, A, B and C are in the same plane. Find the lateral surface area. 12 V= 3 ? r h 12 100= 3 (5 )? h h= 12cm 2 2 S= ? r h +r +2? rh 2 2 S= 5? 12 +5 +2? (5)(12) S= 675. 4 cm 4. 3. A right circular cone of slant height 5cm has a radius of 15 cm. Find the angleof sector of a circle of radius 10cm, if the area of the sector is equal to the lateral area of the cone. S=? (15)(5) 2 S=235. 6 cm S=Asector x= 2 (235. 6 cm )(360)=100 o ?=269. 9 PRISMS 1. The lateral edge of a parallelepiped is 8cm and a plane is passed cutting this edge at a right angle to form a right section which is a square. If the lateral 2 area is 320cm , find the edge of the right section. S = ePr 320 = (8)Pr 40 = Pr 40 = 4e e = 10cm 2. A plane is passed through two opposite edges of a ube forming a diagonal section bounded by the two opposite edges and the diagonals of two opposite CYLINDERS 1. When a body is immersed in water in a right circular cylinder 40cm in diameter, the level of the water rises 20 cm. What is the volume of the body? 2 V1 = (? r ) x 2 V2 = (? r ) (x+20) VBody = V2 – V1 2 2. 2 49 2 = e (e 2 ) 2 3. 32 Abase = 4 e 3 2 Abase = 4 (12) Abase = 36 3 h Finding h: sin 30 = 12 h=6 2 VBody = ((? r )(x+20))- ((? r )x) faces. If the area of the section is 49 2 cm . Find the edge of the cube. 49 2 = e 2 2 e = 49 e=7 Find the volume of an oblique triangular prism hose base in an equilateral triangle the side of which is 12cm. The lateral edge of the prism is equal to the side of the base and inclined to the base plane o at angle of 30 . V = (Abase) (h) ?d1 ? 2+ ? d2 ? 2 ?2 ? ?2 ? x = 9. 01 S = ePr S = 13 (9. 01) (4) 2 S = 468. 52cm ? Asector=360 ? (R)2 ? Asector=360 (100) V = (36 3 ) (6) 3 V = 374. 1 2cm A right section of an oblique prism is a rhombus whose diagonals are 10cm and the lateral edge of the prism is 13cm. Find the lateral area. S = ePr 3. VBody = 400? (x+20) 400? x VBody = 400? x + 8000? 400? x 3 VBody = 8000? cm The diameter of the base of a circular cylinder is 8cm and the elements are inclined to the base at an angle o of 30 . If an element is 7cm long, find the volume and the lateral area of the cylinder. V =? , S =? , h =? h = 7sin30 = 3. 5 2 V = ? r h 2 =? (4 ) (3. 5) = 56? 3 = 175. 93cm S = 2? rh = 2? (4)(3. 5) = 28? 2 = 87. 96cm Find the lateral area and the total area of a cylindrical cell whose height equals its diameter if it has to hold 50kg of water. r =? , S =? , AT =? *1kg = 1L V = 50kg = 50L = 50 000cm h = d = 2r 2 V = ? r h 2 V = ? (r )2r 3 50 000 = 2? r 3 4. 50 000 2? 3 r = 7957. 75 = 19. 96cm S = 2? rh 3 r= S = 2? (19. 96) ((2)(19. 96)) 2 S = 5 006. 46cm AT = 2B + S 2 = 2 (? r ) + 5 006. 96 2 = 2 (? 19. 96 ) + 5 006. 96 2 = 7 510. 19cm SPHERES 1. A sphere of radius 8cm rests in a circular hole of radius 3cm. How far below the plane of the hole does the sphere extend? 2. h = 8 82-32 h = 8 – 7. 42 h = 0. 58cm A sphere of radius 6cm rests on 3 horizontal wires forming a plane triangle whose sides are 5cm, 12cm, and 13cm. Find the height of the top of the sphere above the plane of the wires. 2 2 h = 6 + 6 -r 1 2 rP = s(s-13)(s-5)(s-12) P = 13+5+12 = 30 P s = 2 = 15 1 rP = 15(15-13)(15-5)(15-12) 15r = 900 15r = 30 r=2 2 h = 6 + 6 -2 3. 2 h = 6 + 32 h = 11. 66cm A square is inscribed in a small circle of a sphere whose great circle has a radius of 9cm. If the plane of the square is 6cmfrom the center of the sphere, find the perimeter of the square. Psquare = 4e 2 d 2 2 9 =6 + ? 2 ? d = 13. 42 d=e 2 13. 42 = e 2 e = 9. 49 Psquare = 4(9. 49) = 37. 96cm An ornamental spherical ball made of bronze has an outer diameter of 1. 2m and a uniform thickness of 3 13cm. If bronze weighs 8. 5 mg/cm , find the weight of the ball. V = V1 – V2 4 34 3 V = 3 ? r1 3 ? r2 4 34 3 V = 3 ? 60 3 ? 47 3 3 V = 469 885. 91cm x 8. 5 mg/cm V = 3 994 030. 235 mg 5. 6. A hollow metal sphere 35cm in diameter is used as a float. If the metal sphere sinks to the depth of 12cm, what is the area of the wetted surface? Z = 2? rh Z = 2? (17. 5) (12) 2 Z = 1 319. 47cm On a sphere of a diameter 125cm, two circles of the spheres whose planes are parallel have radii 20cm and 50cm, respectively. Find the area of the zone included between these cirlces. Z = 2? rh h = h1 + h 2 2 2 2 2 h1 = 62. 5 -20 h1 = 59. 21 h2 = 62. 5 -50 h2 = 37. 5 h = 59. 21+37. 5 h = 96. 71 Z = 2? (62. 5) (96. 71) Z = 37 977. 93

Stephen Decatur, Naval Hero of the War of 1812

Stephen Decatur, Naval Hero of the War of 1812 Stephen Decatur (Jan. 5, 1779–March 22, 1820) was a U.S. naval officer who became famous for his exploits during the  Tripoli War. He later served as a heroic commander in the  War of 1812. He was killed in a duel by a fellow officer whose court-martial he had participated in years before. Fast Facts: Stephen Decatur Known For: Naval exploits during the Tripoli War and War of 1812Born: Jan. 5, 1779 in Sinepuxent, MarylandParents: Stephen Decatur Sr., Anne PineDied: March 22, 1820 in Bladensburg, MarylandSpouse: Susan WheelerNotable Quote: â€Å"Our country! In her intercourse with foreign nations may she always be in the right; but our country, right or wrong!† Born at Sinepuxent, Maryland, on January 5, 1779, Stephen Decatur was the son of Captain Stephen Decatur, Sr. and his wife Anne. A naval officer during the American Revolution, Decatur, Sr. had his son educated the Episcopal Academy in Philadelphia. Graduating, young Stephen enrolled at the University of Pennsylvania and was a classmate of future naval officers Charles Stewart and Richard Somers. At the age of 17, he secured employment with the firm of Gurney and Smith and aided in securing timber for the keel of the frigate USS United States (44 guns). Early Career Wishing to follow his father in the naval service, Decatur received the aid of Commodore John Barry in obtaining a midshipmans warrant. Entering the service on April 30, 1798, Decatur was assigned to United States with Barry as his commanding officer. He sailed aboard the frigate during the Quasi-War and saw action in the Caribbean as United States captured several French privateers. Demonstrating his skill as a gifted sailor and leader, Decatur received a promotion to lieutenant in 1799. At the end of the conflict in 1800, the U.S. Navy was downsized by Congress with many officers discharged from the service. First Barbary War One of thirty-six lieutenants retained by the U.S. Navy, Decatur was assigned to the frigate USS Essex (36) as first lieutenant in 1801. Part of Commodore Richard Dales squadron, Essex sailed to the Mediterranean to deal with those Barbary states that were preying upon American shipping. After subsequent service aboard USS New York (36), Decatur returned the US and took command of the new brig USS Argus (20). Sailing across the Atlantic to Gibraltar, he turned the ship over to Lieutenant Isaac Hull and was given command of the 12-gun schooner USS Enterprise (14). Burning Philadelphia On December 23, 1803, Enterprise and the frigate USS Constitution (44) captured the Tripolitan ketch Mastico after a sharp fight. Renamed Intrepid, the ketch was given to Decatur for use in a daring raid to destroy the frigate USS Philadelphia (36) which had run aground and been captured in Tripoli harbor on October. At 7:00 PM on February 16, 1804, Intrepid, disguised as a Maltese merchant ship and flying British colors, entered Tripoli harbor. Claiming that they had lost their anchors in a storm, Decatur asked permission to tie up alongside the captured frigate. As the two ships touched, Decatur stormed aboard Philadelphia with sixty men. Fighting with swords and pikes, they took control of the ship and began preparations to burn it. With combustibles in place, Philadelphia was set on fire. Waiting until he was sure the fire had taken hold, Decatur was the last to leave the burning ship. Escaping the scene in Intrepid, Decatur and his men successfully evaded fire from the harbors defenses and reached the open sea. When he heard of Decaturs achievement, Vice Admiral Lord Horatio Nelson called it the most bold and daring act of the age. In recognition for his successful raid, Decatur was promoted to captain, making him, at age twenty-five, the youngest to hold the rank. For the remainder of the war, he commanded the frigates Constitution and Congress (38) before returning home at its conclusion in 1805. Three years later he served as part of the court martial that tried Commodore James Barron for his role in the Chesapeake-Leopard Affair. In 1810, he was given command of United States, then in ordinary at Washington DC. Sailing south to Norfolk, Decatur oversaw the refitting of the ship. War of 1812 Begins While in Norfolk, Decatur encountered Captain John S. Garden of the new frigate HMS Macedonian. During a meeting between the two, Garden wagered Decatur a beaver hat that Macedonian would defeat United States should the two ever meet in battle. When war with Britain was declared two years later, United States sailed to join Commodore John Rodgers squadron at New York. Putting to sea, the squadron cruised the east coast until August 1812, when it put into Boston. Returning to sea on October 8, Rodgers led his ships in search of British vessels. Victory Over Macedonian Three days after departing Boston, Decatur and United States were detached from the squadron. Sailing east, Decatur spotted a British frigate on October 28, approximately 500 miles south of the Azores. As United States closed to engage, the enemy ship was identified as HMS Macedonian (38). Opening fire at 9:20 AM, Decatur masterfully outmaneuvered his adversary and methodically pummeled the British ship, ultimately forcing its surrender. Taking possession of Macedonian, Decatur found that his guns had inflicted 104 casualties, while United States had only suffered 12. After two weeks of repairs to Macedonian, Decatur and his prize sailed for New York, arriving to a massive victory celebration on December 4, 1812. Refitting his ships, Decatur put to sea on May 24, 1813, with United States, Macedonian, and the sloop Hornet (20). Unable to escape the blockade, they were forced into New London, CT by a strong British squadron on June 1. Trapped in port, Decatur and the crew of United States transferred to the frigate USS President (44) at New York in early 1814. On January 14, 1815, Decatur attempted to slip through the British blockade of New York. Loss of President After running aground and damaging the ships hull leaving New York, Decatur elected to return to port for repairs. As President sailed home, it was attacked by the British frigates HMS Endymion (40), HMS Majestic (58), HMS Pomone (44), and HMS Tenedos (38). Unable to escape due the damaged condition of his ship, Decatur prepared for battle. In a three-hour fight, President succeeded in disabling Endymion but was forced to surrender after sustaining heavy casualties by the other three frigates. Taken prisoner, Decatur and his men were transported to Bermuda where all learned that the war had technically ended in late December. Decatur returned to the United States aboard HMS Narcissus (32) the following month. Later Life As one of the US Navys great heroes, Decatur was immediately given command of a squadron with orders to suppress the Barbary pirates which had become active again during the War of 1812. Sailing to the Mediterranean, his ships captured the Algerian frigate Mashouda and swiftly compelled the Dey of Algiers to make peace. Using a similar style of gunboat diplomacy, Decatur was able to compel the other Barbary states to make peace on terms advantageous to the United States. In 1816, Decatur was named to the Board of Naval Commissioners in Washington D.C. Taking up his post, he had a home designed for him and his wife, Susan, by famed architect Benjamin Henry Latrobe. Death by Duel Four years later, Decatur was challenged to a duel by Commodore James Barron for comments he had made regarding the latters conduct during the 1807 Chesapeake-Leopard Affair. Meeting outside the city at Bladensburg Dueling Field on March 22, 1820, the two squared off with Captain Jesse Elliott and Commodore William Bainbridge as their seconds. An expert shot, Decatur only intended to wound Barron. As the two fired, Decatur severely wounded Barron in the hip, however he himself was fatally shot in the abdomen. He died later that day at his house in Lafayette Square. Over 10,000 attended Decaturs funeral including the President, Supreme Court, and the majority of Congress. Legacy Stephen Decatur was one of the first national heroes after the American Revolution. His name and legacy, like those of David Farragut, Matthew Perry, and  John Paul Jones, became identified with the U.S. Navy.

Economic freedom Essay Example | Topics and Well Written Essays - 1000 words

Economic freedom - Essay Example The essay "Economic freedom" concerns the concept that called economic freedom. Studies have shown that human beings operate more efficiently when not under pressure. Freedom allows individuals to practice and fully exploit their creativity. Sociologists have linked human freedom to human creativity and have found it to be working hand in hand. The Sociologists argue that it allows for greater risks taking that would generate better ways of doing business. Economic freedom has three classical viewpoints, institutions, political and indices of economic freedom. This paper presents a discussion on economic freedom. For there to be a smooth flow of trade between parties, there are institutions of economic freedom set to achieve it. The first is the observance of the rule of law. In the application of the law, all parties are equal, and none is superior. The rule of law has obligations that ensure equality of individual in spite of any form of difference between them. Observance of the l aw protects traders from unfair completion. In law, two kinds of parties exist, the one with power and the other one who is governed. Both parties should act in a manner that is required of them and feel protected by the law. In as much as there is the observance of equality, it is not logical for every party to earn the same income. Equality comes in the sense of treatment of one another and not in the distribution of private resources. It is illogical for the government to redistribute earned resources. from citizens in the name of equality (Asafu-Adjaye 78). The next institution is a clear outline for the rights to own private property. A free market allows for the right for people to control their property and benefit from them. In addition to this, the individuals have a right to transfer their property at their own will. Therefore, an individual cannot be prevented from doing whatever he or she likes with the property. With this kind of system, traders are motivated to pursue their goals and continue adding value to their property. The traders are confident that they are capable of transferring their income anytime without the fear of having to leave anything behind when they opt to leave. Studies show that areas with well-defined property rules have a faster economic growth as compared to the areas without. Most research argues that this property rule is the main reason for poverty in third world countries since they do not have well spelt out systems. The third is the freedom of contract, which refers to the right of choosing whom to trade with, or not. The individual parties choose the form of contracts to get into and establish an agreement. However, once establishing the contract they both have to fulfill the terms and conditions and see it through whether one realizes that he will incur losses. In as much as most of the contracts are fair, some are not especially when the parties are unequal. An example is in the case of workers and employers when negotiating a number of working hours. The employer would be looking at maximizing the hours while the worker will be looking at minimizing it. However, since the employer has an upper hand, he tends to win the negotiation (Noyes 43). Economical freedom has come hand in hand with political freedom. Since the market is free, it has prevented politics to dominate trade. This has reduced the threat of suffering because of a political affiliation. It is a point worth noting that economical freedom has grown with the coming of political freedom.