The digit 5 in the number 34.952 has a place value of tenths. A total of 150 similar boxes containing 12 pencils each would contain 1,800 pencils. Puan Maria had 600 cm of cloth left after using 24 m of the 30 m she bought to make curtains. The average number of doctors per hospital is 51.
Mathemagic is inspired from Vedic Mathematics and Smart Maths to develope a passion for quantitative section of various entrance exams especially for those who belongs to non mathematic streams.
Mathemagic is inspired from Vedic Mathematics and Smart Maths to develope a passion for quantitative section of various entrance exams especially for those who belongs to non mathematic streams.
I found this on the net and really found it useful This free teaching resource is from Innovative Teaching Resources. You can access hundreds of their excellent resources here. https://www.teacherspayteachers.com/Store/Innovative-Teaching-Ideas
I found this on the net and really found it useful This free teaching resource is from Innovative Teaching Resources. You can access hundreds of their excellent resources here. https://www.teacherspayteachers.com/Store/Innovative-Teaching-Ideas
SAP Inside Track Ankara 2012: That is the shape of my worldFIT Solutions
Technology is evolving. SAP is innovating. The shape of SAP Landscape is also changing.
This presentation gives an overview of the SAP Landscape's Yesterday, Today and Future. Also points some important points and solutions awaiting us.
SAP Inside Track Istanbul 2011 - Sybase Mobile Sales Project - Lessons Learned FIT Solutions
This is the 3rd Community Event in Turkey. We shared our experience at Borusan Makina Sybase Mobile Sales for SAP CRM Implementation Project (one of the four SUP implementation within MENA Area)
Pre-Calculus Quarter 4 Exam
1
Name: _________________________
Score: ______ / ______
1. Find the indicated sum. Show your work.
2. Locate the foci of the ellipse. Show your work.
𝑥2
36
+
𝑦2
11
= 1
Pre-Calculus Quarter 4 Exam
2
3. Solve the system by the substitution method. Show your work.
2y - x = 5
x2 + y2 - 25 = 0
4. Graph the function. Then use your graph to find the indicated limit. You do not have to
provide the graph
f(x) = 5x - 3, f(x)
5. Use Gaussian elimination to find the complete solution to the system of equations, or state
that none exists. Show your work.
4x - y + 3z = 12
x + 4y + 6z = -32
5x + 3y + 9z = 20
Pre-Calculus Quarter 4 Exam
3
6. Solve the system of equations using matrices. Use Gaussian elimination with back-
substitution.
x + y + z = -5
x - y + 3z = -1
4x + y + z = -2
7. A woman works out by running and swimming. When she runs, she burns 7 calories per
minute. When she swims, she burns 8 calories per minute. She wants to burn at least 336
calories in her workout. Write an inequality that describes the situation. Let x represent the
number of minutes running and y the number of minutes swimming. Because x and y must be
positive, limit the boarders to quadrant I only.
Short Answer Questions: Type your answer below each question. Show your work.
8. A statement Sn about the positive integers is given. Write statements S1, S2, and S3, and show that
each of these statements is true. Show your work.
Sn: 1
2
+ 4
2
+ 7
2
+ . . . + (3n - 2)
2
=
𝑛(6𝑛2−3𝑛−1)
2
Pre-Calculus Quarter 4 Exam
4
9. A statement Sn about the positive integers is given. Write statements Sk and Sk+1, simplifying
Sk+1 completely. Show your work.
Sn: 1 ∙ 2 + 2 ∙ 3 + 3 ∙ 4 + . . . + n(n + 1) = [n(n + 1)(n + 2)]/3
10. Joely's Tea Shop, a store that specializes in tea blends, has available 45 pounds of A grade tea and
70 pounds of B grade tea. These will be blended into 1 pound packages as follows: A breakfast
blend that contains one third of a pound of A grade tea and two thirds of a pound of B grade tea
and an afternoon tea that contains one half pound of A grade tea and one half pound of B grade
tea. If Joely makes a profit of $1.50 on each pound of the breakfast blend and $2.00 profit on
each pound of the afternoon blend, how many pounds of each blend should she make to
maximize profits? What is the maximum profit?
11 Your computer supply store sells two types of laser printers. The first type, A, has a cost of $86
and you make a $45 profit on each one. The second type, B, has a cost of $130 and you make a
$35 profit on each one. You expect to sell at least 100 laser printers this month and you need to
make at least $3850 profit on them. How many of what type of p
Pre-Calculus Final ExamName _________________________ Score.docxChantellPantoja184
Pre-Calculus Final Exam
Name: _________________________
Score: ______ / ______
Multiple Choice: Type your answer choice in the blank next to each question number.
_____1.
Find the indicated sum.
A. 2
B. 54
C. 46
D. -54
_____2.
Graph the ellipse and locate the foci.
A.
foci at (0, 6) and (0, -6)
C.
foci at (, 0) and (-, 0)
B.
foci at ( 5, 0) and (-5, 0)
D.
foci at (0, 5) and (0, -5)
_____3.
Solve the system by the substitution method.
2y - x = 5
x2 + y2 - 25 = 0
A.
B.
C. {( 5, 0), ( -5, 0), ( 3, 4)}
D. {( -5, 0), ( 3, 4)}
_____4.
Graph the function. Then use your graph to find the indicated limit.
f(x) = 5x - 3, f(x)
A. 5
B. 25
C. 2
D. 22
_____5.
Use Gaussian elimination to find the complete solution to the system of equations, or state that none exists.
4x - y + 3z = 12
x + 4y + 6z = -32
5x + 3y + 9z = 20
A. {(8, -7, -2)}
B. {(-8, -7, 9)}
C. ∅
D. {(2, -7, -1)}
_____6.
Solve the system of equations using matrices. Use Gaussian elimination with back-substitution.
x + y + z = -5
x - y + 3z = -1
4x + y + z = -2
A. {( 1, -4, -2)}
B. {( -2, 1, -4)}
C. {( 1, -2, -4)}
D. {( -2, -4, 1)}
_____7.
A woman works out by running and swimming. When she runs, she burns 7 calories per minute. When she swims, she burns 8 calories per minute. She wants to burn at least 336 calories in her workout. Graph an inequality that describes the situation. Let x represent the number of minutes running and y the number of minutes swimming. Because x and y must be positive, limit the graph to quadrant I only.
A.
C.
B.
D.
Short Answer Questions: Type your answer below each question. Show your work.
8
A statement Sn about the positive integers is given. Write statements S1, S2, and S3, and show that each of these statements is true.
Sn: 12 + 42 + 72 + . . . + (3n - 2)2 =
9
A statement Sn about the positive integers is given. Write statements Sk and Sk+1, simplifying Sk+1 completely.
Sn: 1 ∙ 2 + 2 ∙ 3 + 3 ∙ 4 + . . . + n(n + 1) = [n(n + 1)(n + 2)]/3
10
Joely's Tea Shop, a store that specializes in tea blends, has available 45 pounds of A grade tea and 70 pounds of B grade tea. These will be blended into 1 pound packages as follows: A breakfast blend that contains one third of a pound of A grade tea and two thirds of a pound of B grade tea and an afternoon tea that contains one half pound of A grade tea and one half pound of B grade tea. If Joely makes a profit of $1.50 on each pound of the breakfast blend and $2.00 profit on each pound of the afternoon blend, how many pounds of each blend should she make to maximize profits? What is the maximum profit?
11
Your computer supply store sells two types of laser printers. The first type, A, has a cost of $86 and you make a $45 profit on each one. The second type, B, has a cost of $130 and you make a $35 profit on each one. You expect to .
Instructions for Submissions thorugh G- Classroom.pptxJheel Barad
This presentation provides a briefing on how to upload submissions and documents in Google Classroom. It was prepared as part of an orientation for new Sainik School in-service teacher trainees. As a training officer, my goal is to ensure that you are comfortable and proficient with this essential tool for managing assignments and fostering student engagement.
This is a presentation by Dada Robert in a Your Skill Boost masterclass organised by the Excellence Foundation for South Sudan (EFSS) on Saturday, the 25th and Sunday, the 26th of May 2024.
He discussed the concept of quality improvement, emphasizing its applicability to various aspects of life, including personal, project, and program improvements. He defined quality as doing the right thing at the right time in the right way to achieve the best possible results and discussed the concept of the "gap" between what we know and what we do, and how this gap represents the areas we need to improve. He explained the scientific approach to quality improvement, which involves systematic performance analysis, testing and learning, and implementing change ideas. He also highlighted the importance of client focus and a team approach to quality improvement.
Palestine last event orientationfvgnh .pptxRaedMohamed3
An EFL lesson about the current events in Palestine. It is intended to be for intermediate students who wish to increase their listening skills through a short lesson in power point.
The Roman Empire A Historical Colossus.pdfkaushalkr1407
The Roman Empire, a vast and enduring power, stands as one of history's most remarkable civilizations, leaving an indelible imprint on the world. It emerged from the Roman Republic, transitioning into an imperial powerhouse under the leadership of Augustus Caesar in 27 BCE. This transformation marked the beginning of an era defined by unprecedented territorial expansion, architectural marvels, and profound cultural influence.
The empire's roots lie in the city of Rome, founded, according to legend, by Romulus in 753 BCE. Over centuries, Rome evolved from a small settlement to a formidable republic, characterized by a complex political system with elected officials and checks on power. However, internal strife, class conflicts, and military ambitions paved the way for the end of the Republic. Julius Caesar’s dictatorship and subsequent assassination in 44 BCE created a power vacuum, leading to a civil war. Octavian, later Augustus, emerged victorious, heralding the Roman Empire’s birth.
Under Augustus, the empire experienced the Pax Romana, a 200-year period of relative peace and stability. Augustus reformed the military, established efficient administrative systems, and initiated grand construction projects. The empire's borders expanded, encompassing territories from Britain to Egypt and from Spain to the Euphrates. Roman legions, renowned for their discipline and engineering prowess, secured and maintained these vast territories, building roads, fortifications, and cities that facilitated control and integration.
The Roman Empire’s society was hierarchical, with a rigid class system. At the top were the patricians, wealthy elites who held significant political power. Below them were the plebeians, free citizens with limited political influence, and the vast numbers of slaves who formed the backbone of the economy. The family unit was central, governed by the paterfamilias, the male head who held absolute authority.
Culturally, the Romans were eclectic, absorbing and adapting elements from the civilizations they encountered, particularly the Greeks. Roman art, literature, and philosophy reflected this synthesis, creating a rich cultural tapestry. Latin, the Roman language, became the lingua franca of the Western world, influencing numerous modern languages.
Roman architecture and engineering achievements were monumental. They perfected the arch, vault, and dome, constructing enduring structures like the Colosseum, Pantheon, and aqueducts. These engineering marvels not only showcased Roman ingenuity but also served practical purposes, from public entertainment to water supply.
How to Split Bills in the Odoo 17 POS ModuleCeline George
Bills have a main role in point of sale procedure. It will help to track sales, handling payments and giving receipts to customers. Bill splitting also has an important role in POS. For example, If some friends come together for dinner and if they want to divide the bill then it is possible by POS bill splitting. This slide will show how to split bills in odoo 17 POS.
Students, digital devices and success - Andreas Schleicher - 27 May 2024..pptxEduSkills OECD
Andreas Schleicher presents at the OECD webinar ‘Digital devices in schools: detrimental distraction or secret to success?’ on 27 May 2024. The presentation was based on findings from PISA 2022 results and the webinar helped launch the PISA in Focus ‘Managing screen time: How to protect and equip students against distraction’ https://www.oecd-ilibrary.org/education/managing-screen-time_7c225af4-en and the OECD Education Policy Perspective ‘Students, digital devices and success’ can be found here - https://oe.cd/il/5yV
How to Create Map Views in the Odoo 17 ERPCeline George
The map views are useful for providing a geographical representation of data. They allow users to visualize and analyze the data in a more intuitive manner.
2024.06.01 Introducing a competency framework for languag learning materials ...Sandy Millin
http://sandymillin.wordpress.com/iateflwebinar2024
Published classroom materials form the basis of syllabuses, drive teacher professional development, and have a potentially huge influence on learners, teachers and education systems. All teachers also create their own materials, whether a few sentences on a blackboard, a highly-structured fully-realised online course, or anything in between. Despite this, the knowledge and skills needed to create effective language learning materials are rarely part of teacher training, and are mostly learnt by trial and error.
Knowledge and skills frameworks, generally called competency frameworks, for ELT teachers, trainers and managers have existed for a few years now. However, until I created one for my MA dissertation, there wasn’t one drawing together what we need to know and do to be able to effectively produce language learning materials.
This webinar will introduce you to my framework, highlighting the key competencies I identified from my research. It will also show how anybody involved in language teaching (any language, not just English!), teacher training, managing schools or developing language learning materials can benefit from using the framework.
Ethnobotany and Ethnopharmacology:
Ethnobotany in herbal drug evaluation,
Impact of Ethnobotany in traditional medicine,
New development in herbals,
Bio-prospecting tools for drug discovery,
Role of Ethnopharmacology in drug evaluation,
Reverse Pharmacology.
7. Diagram 1 shows two square of equal size. Each square is divided into 4 equal parts. Rajah 1 menunjukkan dua buah segi empat sama yang sama saiz. Setiap segi empat sama dibahagikan kepada 4 bahagian yang sama besar. THN 5 2009 Diagram 1 Rajah 1 State improper fraction of the shaded parts. Nyatakan pecahan tak wajar bagi kawasan berlorek. 4 4 3 4 + = 7 4
8.
9. Diagram 2 shows a digital clock. Rajah 2 menunjukkan sebuah jam digital. THN 5 2009 Diagram 2 Rajah 2 State the time, in 12-hour system. Nyatakan waktu, dalam sistem 12 jam. 2 1 : 3 0 - 9 3 0 = 9 : 30 p.m. Jam Minit Jam Minit 1 2 0 0
10. Convert 5 km to m. 8 Tukarkan 5 km kepada m 8 THN 5 2009 = 625 m = 5 x 1 000 8 1 = 5 000 8 0 0 0 5 8 6 - 2 0 2 - 4 0 5 - 0 0 km 1 m 1 000 km 1 m 1 000 8 4 1 6 4 0
13. Diagram 3 shows a combination of two squares. Rajah 3 menunjukkan satu gabungan dua buah segi empat sama. THN 5 2009 Diagram 3 Rajah 3 Calculate the perimeter of the whole diagram. Hitung perimeter bagi seluruh rajah itu. 12 cm 8 cm 8 cm 12 cm 12 cm 8 cm Perimeter = - 8 4 4 cm 4 8 8 8 + +3 4 6 = 64 cm 1 2 1 2 1 2 1 2
15. A box contain 12 pencils. How many pencils are there in 150 similar boxes? Sebuah kotak mengandungi 12 batang pensel. Berapa batangkah pensel yang Terdapat dalam 150 kotak yang sama? THN 5 2009 Cara penyelesaian : 12 12 12 + 24 1 2 0 5 1 x 0 +1 0 6 2 1 + 0 0 8 1 = 1 800
19. Diagram 4 shows the mass of a kettle. Rajah 4 menunjukkan jisim sebuah cerek. THN 5 2009 Diagram 4 Rajah 4 State the mass, in kg. Nyatakan jisim, dalam kg. 2 • = 7 10 x 1 000 1 = 7 000 10 = 700 0 7 0 = 2.7 kg kg 1 gram 1 000 kg 1 gram 1 000
20. Diagram 5 shows the volume of orange juice in a jug. Rajah 5 menunjukkan isipadu jus oren dalam sebuah jag. THN 5 2009 Diagram 5 Rajah 5 Jenny drank 1 l of the orange juice. 5 Calculate the volume, in m l , the remaining orange juice in the jug. Jenny minum 1 l daripada jus oren itu. 5 Hitung isipadu, dalam m l , baki jus oren di dalam jag itu.
21. • 7 2 0 0 = 1 5 x 2.700 1 = 2.700 5 = 2 160 7 2 0 0 5 5 - 2 0 4 - 0 0 0 0 - 0 • m l - 1 6 0 6 +10 2 l 1 m l 1 000 l 1 m l 1 000 l 1 m l 1 000 5 2 0 2 l 1 m l 1 000 ` 7 2 0 0 5 4 0
22. Table 1 shows the price of two types of food at the school canteen. Jadual 1 menunjukkan harga bagi dua jenis makanan di kantin sekolah. THN 5 2009 A total of 7 pupils buy both types of food. How much money did they spend? Sejumlah 7 orang murid membeli kedua-dua jenis makanan tersebut. Berapakah jumlah wang yang telah mereka belanjakan? Table 1 Jadual 1 Type of Food Jenis makanan Price Harga Chicken burger Burger ayam RM1.50 Orange juice Jus oren 80 sen
24. A factory produces 25 000 tins of milk every month continuously for 5 months. All the tins of milk are distributed equally to 8 supermarkets. How many tins of milk does each supermarket receive? Sebuah kilang menghasilkan 25 000 tin susu setiap bulan secara berterusan selama 5 bulan. Kesemua tin susu tersebut diedarkan secara sama rata kepada 8 buah pasaraya. Berapakah tin susu yang diterima oleh setiap pasaraya? THN 5 2009 1 bulan = 25 000 2 bulan = 25 000 + 25 000 = 50 000 5 bulan = x 5 5 0 0 0 +2 5 0 0 0 2 1 8 1 8 - 4 5 5 - 5 0 6 - 2 0 2 - 4 0 5 - 0 0 = 15 625 5 2 0 0 0 2 1 4 0 4 8 1 6 4 0
25. Puan Maria bought 30 m of cloth. She used 24 m of it to make curtains. What is the length of the cloth, in cm, is left? Puan Maria telah membeli 30 m kain. Dia menggunakan 24 m daripada kain itu untuk membuat langsir. Berapakah panjang kain yang tinggal, dalam cm? THN 5 2009 3 0 2 4 - 2 +10 6 0 0 = 600 cm m 1 cm 100 m 1 cm 100
26. Table 2 shows the number of doctors in two hospitals. Jadual 2 menunjukkan bilangan doktor bagi dua buah hospital. THN 5 2009 Calculate the average number of doctors in a hospital. Hitung purata doktor bagi sebuah hospital. Table 1 Jadual 1 Hospital Number of Doctors Bilangan Doktor R 53 S 4 less than R 4 kurang daripada R
27. Purata = Jumlah keseluruhan Bilangan 5 3 4 - 4 +10 9 4 + +1 2 2 5 - 2 1 2 - 0 = 51 R 5 3 S 9 4 0 1 2 0 1 0 1 0 0
