This is the ultimate set of game-changer, the nuclear bomb of calculations, the Best, Just follow the rules and beat the computer
The ultimate tricks to speed up your Calculating Power
This is the ultimate set of game-changer, the nuclear bomb of calculations, the Best, Just follow the rules and beat the computer
The ultimate tricks to speed up your Calculating Power
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.
Welcome to TechSoup New Member Orientation and Q&A (May 2024).pdfTechSoup
In this webinar you will learn how your organization can access TechSoup's wide variety of product discount and donation programs. From hardware to software, we'll give you a tour of the tools available to help your nonprofit with productivity, collaboration, financial management, donor tracking, security, and more.
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.
Embracing GenAI - A Strategic ImperativePeter Windle
Artificial Intelligence (AI) technologies such as Generative AI, Image Generators and Large Language Models have had a dramatic impact on teaching, learning and assessment over the past 18 months. The most immediate threat AI posed was to Academic Integrity with Higher Education Institutes (HEIs) focusing their efforts on combating the use of GenAI in assessment. Guidelines were developed for staff and students, policies put in place too. Innovative educators have forged paths in the use of Generative AI for teaching, learning and assessments leading to pockets of transformation springing up across HEIs, often with little or no top-down guidance, support or direction.
This Gasta posits a strategic approach to integrating AI into HEIs to prepare staff, students and the curriculum for an evolving world and workplace. We will highlight the advantages of working with these technologies beyond the realm of teaching, learning and assessment by considering prompt engineering skills, industry impact, curriculum changes, and the need for staff upskilling. In contrast, not engaging strategically with Generative AI poses risks, including falling behind peers, missed opportunities and failing to ensure our graduates remain employable. The rapid evolution of AI technologies necessitates a proactive and strategic approach if we are to remain relevant.
Acetabularia Information For Class 9 .docxvaibhavrinwa19
Acetabularia acetabulum is a single-celled green alga that in its vegetative state is morphologically differentiated into a basal rhizoid and an axially elongated stalk, which bears whorls of branching hairs. The single diploid nucleus resides in the rhizoid.
The French Revolution, which began in 1789, was a period of radical social and political upheaval in France. It marked the decline of absolute monarchies, the rise of secular and democratic republics, and the eventual rise of Napoleon Bonaparte. This revolutionary period is crucial in understanding the transition from feudalism to modernity in Europe.
For more information, visit-www.vavaclasses.com
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.
Macroeconomics- Movie Location
This will be used as part of your Personal Professional Portfolio once graded.
Objective:
Prepare a presentation or a paper using research, basic comparative analysis, data organization and application of economic information. You will make an informed assessment of an economic climate outside of the United States to accomplish an entertainment industry objective.
June 3, 2024 Anti-Semitism Letter Sent to MIT President Kornbluth and MIT Cor...Levi Shapiro
Letter from the Congress of the United States regarding Anti-Semitism sent June 3rd to MIT President Sally Kornbluth, MIT Corp Chair, Mark Gorenberg
Dear Dr. Kornbluth and Mr. Gorenberg,
The US House of Representatives is deeply concerned by ongoing and pervasive acts of antisemitic
harassment and intimidation at the Massachusetts Institute of Technology (MIT). Failing to act decisively to ensure a safe learning environment for all students would be a grave dereliction of your responsibilities as President of MIT and Chair of the MIT Corporation.
This Congress will not stand idly by and allow an environment hostile to Jewish students to persist. The House believes that your institution is in violation of Title VI of the Civil Rights Act, and the inability or
unwillingness to rectify this violation through action requires accountability.
Postsecondary education is a unique opportunity for students to learn and have their ideas and beliefs challenged. However, universities receiving hundreds of millions of federal funds annually have denied
students that opportunity and have been hijacked to become venues for the promotion of terrorism, antisemitic harassment and intimidation, unlawful encampments, and in some cases, assaults and riots.
The House of Representatives will not countenance the use of federal funds to indoctrinate students into hateful, antisemitic, anti-American supporters of terrorism. Investigations into campus antisemitism by the Committee on Education and the Workforce and the Committee on Ways and Means have been expanded into a Congress-wide probe across all relevant jurisdictions to address this national crisis. The undersigned Committees will conduct oversight into the use of federal funds at MIT and its learning environment under authorities granted to each Committee.
• The Committee on Education and the Workforce has been investigating your institution since December 7, 2023. The Committee has broad jurisdiction over postsecondary education, including its compliance with Title VI of the Civil Rights Act, campus safety concerns over disruptions to the learning environment, and the awarding of federal student aid under the Higher Education Act.
• The Committee on Oversight and Accountability is investigating the sources of funding and other support flowing to groups espousing pro-Hamas propaganda and engaged in antisemitic harassment and intimidation of students. The Committee on Oversight and Accountability is the principal oversight committee of the US House of Representatives and has broad authority to investigate “any matter” at “any time” under House Rule X.
• The Committee on Ways and Means has been investigating several universities since November 15, 2023, when the Committee held a hearing entitled From Ivory Towers to Dark Corners: Investigating the Nexus Between Antisemitism, Tax-Exempt Universities, and Terror Financing. The Committee followed the hearing with letters to those institutions on January 10, 202
4. 3. In the expansion of (2𝑎 − 3𝑏)3
what is
the coefficient of 𝑎2
𝑏?
𝑎 + 𝑏 3 = 𝑎3 + 3𝑎2𝑏 + 3𝑎𝑏2 + 𝑏3
= 3 2𝑎 2
−3𝑏
-36
Solution:
Answer:
5. 4. The temperature of the boiling water decreased
from 100°C to 85°C a few minutes after it was
poured into a cup. By how many degrees
Fahrenheit did the water cool?
100°C - 85°C = 15 °C
590F
Solution:
Answer:
°F = 1.8(°C) + 32 = 1.8(15) + 32
6. 5. For the month of February, Roman spent
₱15000. He spent ₱8000 for rent, ₱4500 for
food, ₱2000 for utilities, and ₱500 for others.
In a pie graph representing Roman’s expenses,
what is the central angle of the region
representing the “other” expenses?
8. 6. In a movie theater, 55% of the moviegoers on
Monday are males. If there are 600 more males than
females, find the total number of moviegoers.
M:F=55:45 There is a difference of
10% which is equal to 600 males. So,
600/.1 = 6000
6000
Answer:
Solution:
9. 7. If 15% of x is 45, what is 20% of x?
45/.15 = 300
60
Solution:
Answer:
300 x .2 = 60
10. 8. The sum of three consecutive integers is
63. What is the lowest of the three
integers?
63/3 = 21 - the middle value
20
Answer:
Solution:
Then subtract 1 to the middle to get
the lowest integer.
11. 9. The circle in the figure below has the radius equal
to 3 cm. What is the ratio between the area and the
circumference of the circle?
A : C
3:2
Solution:
Answer:
𝝅𝒓𝟐
: 𝟐𝝅𝒓 Divide with their GCF
𝒓: 𝟐 Substitute the
value of r.
𝟑: 𝟐
12. 10. Four mangoes and 3 oranges cost Php 62.00. Four
mangoes and 5 oranges cost Php 88.00. How much does
one orange cost?
By subtracting 5 oranges and 4 mangoes to 3 oranges
and 4 mangoes, the result will be 5 – 3 = 2 oranges.
Thus, 2 oranges =88 – 62= Php 26 . Therefore, 1
orange is 26/2 = 13.
Php 13
Answer:
13. 11. Solve the inequality |x + 5| - 4 > 1.
{x/x > 0 or x < -10}
Answer:
Solution:
x+5 > 5
x > 0
x+5 < -5
x < -10
16. 14. If the length of a rectangle increased by 20% and the
width decreased by 30%, find the percentage by which its
area changes.
Decreased by 16%
Answer:
Solution:1.2 x 0.7 = 0.84
𝟏 − 𝟎. 𝟖𝟒 = 𝟎. 𝟏𝟔
17. 15. If each side of the square is increased by 20%, by
how many percent is the increase in the original area?
44%
Answer:
Solution:Let 1 be the length of the
side of the original square.
1.2 2
- 1 2
= 1.44 – 1
𝐶ℎ𝑎𝑛𝑔𝑒 𝑡𝑜 %.
= 0.44
18. 16. If the letters of the word MATHEMATICS are
repeatedly and consecutively written, what is the
2017th letter?
H
Answer:
Solution: 2017/11 = 183 remainder 4
The answer is the 4th letter.
19. 17. If 𝟏𝟐. 𝟖 × 𝟑. 𝟒 = 𝟒𝟑. 𝟓𝟐, what is
𝟎. 𝟏𝟐𝟖 × 𝟎. 𝟑𝟒?
0.04352
Answer:
Solution: Just count the number
of decimal places.
20. 18. The average of 11 positive
consecutive odd integers is 37. What
is the smallest number?
27
Answer:
Solution: The average is also the middle
number or the 6th number. The
lowest number has a difference of 2
x 5 = 10 to the lowest number.
21. 19. What is the product of
1
2
⋅
2
3
⋅
3
4
⋅
4
5
⋯
9
10
?
1
10
Answer:
Solution: Cancellation
22. Answer:
Solution: 65t + 75t = 350
2.5 hours
20. Two trains leave the same city at the
same time traveling in opposite directions.
One is traveling at an average speed of
65 km per hour and the other is traveling
at an average speed of 75 km per hour.
In how many hours will they be 350 km
apart?
23. 21. Angelo can complete his school
project in x hours. What part of the
job can be completed by Angelo after
5 hours?
5/x
Answer:
Solution: W = rt = (1/x)(5)
24. 22. The average of the three numbers
is 44. If 1 is added to the first
number, 3 is added to the second
number, and 5 is added to the third,
what is the average of the new
number?
47
Answer:
Solution: [(1 + 3 + 5)/3] + 44
25. 23. What number is midway -22
and 10 on a number line?
-6
Answer:
Solution:(-22 + 10)/2
26. 24. Simplify
𝟒𝟎𝟎𝟎 × 𝟐𝟎𝟎𝟎𝟎
𝟎.𝟎𝟎𝟎𝟒
.
2 × 10𝟏𝟏
Answer:
Solution: Express the numbers first in
scientific notation.
4 × 103
× 2 × 104
4 × 10−4
28. 26. A truck was transferring
fertilizer. The first day, it
transferred 2/5 of the entire pile of
fertilizer. The second day it
transferred 3/4 of the remaining
fertilizer. There are 1200 kilograms of
fertilizer left. How much fertilizer was
there before the transferring?
29. 26. A truck was transferring fertilizer. The first day, it
transferred 2/5 of the entire pile of fertilizer. The second
day it transferred 3/4 of the remaining fertilizer. There are
1200 kilograms of fertilizer left. How much fertilizer was
there before the transferring?
8000 kg
Answer:
Solution: 1-2/5 = 3/5 remained on the first day
1200 ÷ 3/20
3/5 x (1-3/4) = 3/20 remained on the second
day
30. 27. If Rey takes 4x as long as Dave to do
the job and together they take 5 hrs how
long does it take for Rey to do the job?
25 hrs.
Answer:
Solution: From the given, we can say that only
1/5 of the job was done by Rey
when they work together in 5 hours
while Dave did 4/5 of the job,
4(1/5)
31. 28. What is the 8th term in the sequence
10,7, 4...?
-11
Answer:
Solution: Common difference is -3. Multiply it
with 5 since there are 3 given
numbers out of 8. Answer is -15.
Then add -15 to the third number
on the sequence.
32. 29. A shirt was bought for Php 420
at 85% discount. What is the
original price?
Php 2800
Answer:
Solution: 420/.15
34. 31. By how much would an exterior
angle of a triangle increase if each
of its corresponding remote interior
angle increased by 20°?
40°
Answer:
Solution:
An exterior angle is equal to
the sum of its two remote
interior angles.
35. 32. When a number is subtracted
from its additive inverse, the result
is 10. What is the number?
-5
Answer:
Solution: 5 – (-5) = 10
36. 33. Find the least positive integer
that leaves a remainder of 2 when
divided by 3 and 4 but gives an
exact quotient when divided by 5.
50
Answer:
Solution:
Multiples of 3: 12, 15, 18, 21, 24, 27, 30
Multiples of 4: 12, 16, 20, 24, 28, 32, 36
Multiples of 3 and 4: 12, 24, 36, 48
37. 34. Find x and y so that the
ordered data set has a median of
20 and a range of 65: 8, 10, 12,
14, 18, 19, x, 23, 25, 38, 55, y
x=21, y=73
Answer:
Solution: Y = 65+8 = 73
X = 20*2 – 19 = 21
39. 36. A salesman receives a basic salary of
Php 10,000 and a commission of 5% on all
sales. Find his total sales in a month when
he earned Php 25,000?
Php 300,000
Answer:
Solution: Php 25,000 – Php 10,000
Php 15,000/.05
40. 37. Find the LCM of 2040 and 900.
30600
Answer:
Solution: 2040 900
408 180
204 90
102 45
34 15
5
2
2
3
41. 38. The sum of two numbers is -1
and their product is -6, what is the
sum of their cubes?
-19
Answer:
Solution: Think of two factors -6 with the
sum of -1. So, its 2 and -3.
𝟐𝟑
+ (−𝟑)𝟑
= -19
42. 39. Grace is 10 years old and his
mother is 20 years old. In how
many years will Grace age be 9/14
that of his mother?
8 years
Answer:
Solution: 10 + 𝑥
20 + 𝑥
=
9
14
14(10 + x) = 9(20 + x)
140 + 14x = 180 + 9x
5x = 40
x = 8
43. 40. A class of 40 students went on a
field trip where 75% of them joined the
hiking group,60% joined the biking group
and 40% joined both groups. How many
students did not join any of the two
groups?
2
Answer:
Solution: 40 - (0.75+0.6-0.4)(40)
44. 41. Find the value of 𝑎2
− 𝑎 if 𝑎 =
2+ 3
𝟒
.
−𝟏
𝟏𝟔
Answer:
Solution: 𝑎2 − 𝑎 = a(a-1)
46. 42.The product of 585 and a number
n is a square number. What is the
smallest value of n?
65
Answer:
Solution: 585 = 13 ⋅ 5 ⋅ 32
13 ⋅ 5 = 65
47. 43. In the rectangle below, the line MN cuts
the rectangle into two regions. Find x the
length of segment NB so that the area of the
quadrilateral MNBC is 40% of the total area of
the rectangle.
49. Solution:
0.4(20+x)(10) =
𝑥+15+𝐱
2
(10)
4(20+x) = 2x+15 (5)
80+4x = 10X +75
43. In the rectangle below, the line
MN cuts the rectangle into two
regions. Find x the length of segment
NB so that the area of the
quadrilateral MNBC is 40% of the
total area of the rectangle.
5/6 = X
50. 44. Mr. Rozario bought some apples and
oranges. The ratio of the number of apples
to the number of oranges are 2:5. He gave
3/4 of the apples to his sister and 34
oranges to his brother. The ratio of the
number of oranges to the number of apples
that he has now is 2:3.
How many apples and did Mr. Rozario buy?
How many oranges did Mr. Rozario buy?
51. 16 apples and 40 oranges
Answer:
Solution: 1
4
2𝑥 : 5𝑥 − 34 = 2: 3
3𝑥 = 2(10𝑥 − 68)
44. Mr. Rozario bought some apples and oranges. The ratio of the
number of apples to the number of oranges are 2:5. He gave 3/4 of the
apples to his sister and 34 oranges to his brother. The ratio of the
number of oranges to the number of apples that he has now is 2:3.
How many apples did Mr. Rozario buy?
How many oranges did Mr. Rozario buy?
𝑥
2
3 = 2 5𝑥 − 34
17𝑥 = 136
𝑥 = 8
2𝑥: 5𝑥
2 8 : 5(8)
Checking:
¼ of 16 = 4
40 – 34 = 6
4: 6 = 2:3
52. 45. The figure shows the dimensions of an
isosceles triangle in terms of x. What is the
area of the triangle?
48
Answer:
Solution:
2x – 2 = 3x -8
6 = x
𝐴 =
1
2
3𝑥 − 2 𝑥
2x - 2 3x - 8
x
𝑦0 𝑦0
3x - 2
53. 46. The data set consisting of 8 whole
numbers has mean, median and mode
that are all equal to 3. What is the
largest possible number in the data set
if the smallest number is 2?
6
Answer:
Solution: 2, 2, 2, 3, 3, 3, 3, __
54. 47. On a quiz, the mean of the scores
of five students is 13.6. If the highest
score is deleted, the mean of the four
remaining scores is 12.5. Find the
highest score.
18
Answer:
Solution: 13.6-12.5 = 1.1
1.1 x 5 = 5.5 12.5 + 5.5
55. 48. On a quiz, the mean of the scores
of five students is 13.6. If the highest
score is deleted, the mean of the four
remaining scores is 12.5. Find the
highest score.
18
Answer:
Solution: 13.6-12.5 = 1.1
1.1 x 5 = 5.5 12.5 + 5.5
56. 49. What is the smallest positive
integer that must be multiplied to
50 to get a perfect cube?
20
Answer:
Solution:
50 = 2 * 52