(a)(i)114x-Using a calculator, or otherwise, calculate the EXACT value of the following:1534(ii)4.1-1.252(b)(c)0.005A stadium currently has a seating capacity of 15 400 seats.(i)Calculate the number of people in the stadium when 75% of the seats are occupied.(ii) The stadium is to be renovated with a new seating capacity of 20 790 seats. Afterthe renovation, what will be the percentage increase in the number of seats?A neon light flashes five times every 10 seconds. Show that the light flashes 43 200 timesin one day.Factorize the following expressions completely.2. (a)(i)Sh12hg(ii)2x²-x-6(b)Solve the equation+33(-5)(c)Make & the subject of the formula24-k² +31T(d)A farmer plants two crops, potatoes and com, on a ten-hectare piece of land. The numberof hectares of corn planted, c, must be at least twice the number of hectares of potatoes, p.Write TWO inequalities to represent the scenario above.(2Total 9(a)Using a ruler, a pencil and a pair of compasses, construct the triangle ABC, suchthat AB-8 cm, angle BAC 60° and AC = 10 cm(3 m(b)The diagram below shows a hexagonal prism.Copy and complete the following statement on your answer sheet.The prism hasfaces,edgen

Solution- Question 1(a) (i) Calculate the exact value of:54×32−41Step 1: Multiply {4}/{5} and…

Answered: (a) (i) 1 1 4 x- Using a calculator, or…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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The number of years N(r) since two independently evolving languages split off from a common ancestral language is approximated by N(r) = – 4000 lIn r where r is the proportion of the words from the ancestral language that are common to both languages now. a. N(0.9) = (Round to the nearest tens place.) %3D b. N(0.4) = (Round to the nearest hundreds place.) c. N(0.1) = (Round to the nearest thousands place.) d. How many years have elapsed since the split if 60% of the words of the ancestral language are common to both languages today? years have elapsed since the split. (Round to the nearest hundreds place.) e. If two languages split off from a common ancestral language about 2000 years ago, find r. r = (Round to the nearest tenth as needed.)
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India has average precipitation of 1083 mm per year. On a random week in India, what is the expected rainfall as measured in inches per week? Use your E(aX+b) formula, and the fact that 1 mm is equal to 0.0393701 inches, and there are 52.1429 weeks in a year. (Round your answers to two decimal places; ex: 1.23). The United Arab Emirates has average precipitation of 78 mm per year. On a random week in United Arab Emirates, what is the expected rainfall as measured in inches per week? Use your E(aX) formula, and the fact that 1 mm is equal to 0.0393701 inches, and there are 52.1429 weeks in a year. (Round your answers to two decimal places; ex: 1.23). Panama has average precipitation of 2928 mm per year. On a random week in Panama, what is the expected rainfall as measured in inches per week? Use your E(aX+b) formula, and the fact that 1 mm is equal to 0.0393701 inches, and there are 52.1429 weeks in a year. (Round your answers to two decimal places; ex: 1.23). The United States…
SECTION 7D - ASSESSING THE RISKS 1. A country has a population of 62 million. (a) Last year, there were 23,085 traffic fatalities. Find the fatality rate in deaths per 100,000 population. (b) The leading causes of death are shown in the table below along with the actual number of deaths. The capital city is home to 2.5 million people. About how many people would you expect to have died of stroke in the capital? Cause Heart disease Cancer Number of Deaths 147,000 92,250 AIDS 52,890 Stroke 34,400 Pulmonary Disease 27,160

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