May this presentation could help you, the pictures here is not mine I get it from YouTube videos, I upload this ppt because
most the ppt here help me a lot in my teaching mathematics. This topics is different kinds variation direct variation, inverse variation, joint variation and combined variation.
May this presentation could help you, the pictures here is not mine I get it from YouTube videos, I upload this ppt because
most the ppt here help me a lot in my teaching mathematics. This topics is different kinds variation direct variation, inverse variation, joint variation and combined variation.
Thinking of getting a dog? Be aware that breeds like Pit Bulls, Rottweilers, and German Shepherds can be loyal and dangerous. Proper training and socialization are crucial to preventing aggressive behaviors. Ensure safety by understanding their needs and always supervising interactions. Stay safe, and enjoy your furry friends!
Unit 8 - Information and Communication Technology (Paper I).pdfThiyagu K
This slides describes the basic concepts of ICT, basics of Email, Emerging Technology and Digital Initiatives in Education. This presentations aligns with the UGC Paper I syllabus.
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.
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it describes the bony anatomy including the femoral head , acetabulum, labrum . also discusses the capsule , ligaments . muscle that act on the hip joint and the range of motion are outlined. factors affecting hip joint stability and weight transmission through the joint are summarized.
Delivering Micro-Credentials in Technical and Vocational Education and TrainingAG2 Design
Explore how micro-credentials are transforming Technical and Vocational Education and Training (TVET) with this comprehensive slide deck. Discover what micro-credentials are, their importance in TVET, the advantages they offer, and the insights from industry experts. Additionally, learn about the top software applications available for creating and managing micro-credentials. This presentation also includes valuable resources and a discussion on the future of these specialised certifications.
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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
How to Add Chatter in the odoo 17 ERP ModuleCeline George
In Odoo, the chatter is like a chat tool that helps you work together on records. You can leave notes and track things, making it easier to talk with your team and partners. Inside chatter, all communication history, activity, and changes will be displayed.
2. Do you Agree?
The more time I drive (at a
constant rate), the more distance
I cover.
If you increase a recipe for more
people, the more of ingredients
you need.
(In a computer shop)The more
hours you play online games, the
more money you pay.
3. Do you Agree?
The more apparels I purchase, the
more money it costs.
The less time you study, the lower
scores you will get in the exam.
The less water you drink, the less
trips to the bathroom you have to
make.
The more time you play temple run,
the longer your cellphone battery
stays.
5. Definition: y varies
directly as x means that y = kx where y is the
dependent variable, x is the independent
variable and k is the constant of variation.
In other words:
* As x increases in value, y increases or
* As x decreases in value, y decreases.
Direct Variation
Another way of writing this is k =
𝒚
𝒙
6. Examples of Direct Variation y = kx:
x y
6 12
7 14
8 16
Note: x increases,
6 , 7 , 8
And y increases.
12, 14, 16
What is the constant of variation of the table above?
Since y = kx we can say k =
𝒚
𝒙
Therefore:
12/6=k or k = 2 14/7=k or k = 2
16/8=k or k = 2
EQUATION:
y = 2x
What have you noticed of
the value of k?
7. x y
10 30
5 15
3 9
Note: x decreases,
10, 5, 3
And y decreases.
30, 15, 9
What is the constant of variation of the table above?
Since y = kx we can say k =
𝒚
𝒙
30/10 = k or k = 3 15/5=k or k = 3
9/3 = k or k =3
y = 3x is the
equation
Examples of Direct Variation y = kx:
What have you noticed
of the value of k?
8. Note: x decreases,
-4, -16, -40
And y decreases.
-1, -4, -10
What is the constant of variation of the table above?
Since y = kx we can say k =
𝒚
𝒙
-1/-4=k or k = ¼ -4/-16=k or k = ¼
-10/-40=k or k = ¼
y = ¼ x is the
equation!
Examples of Direct Variation:
What have you noticed
of the value of k?
x y
-4 -1
-16 -4
-40 -10
9. What is the constant of variation for
the following direct variation?
Answer
Now
1. 2
2. -2
3. -½
4. ½
x y
4 -8
8 -16
-6 12
3 -6
10. Is this a direct variation? If yes, give the
constant of variation (k) and the equation.
Yes!
k = 6/4 or 3/2
Equation?
y = 3/2 x
x y
4 6
8 12
12 18
18 27
11. Yes!
k = 25/10 or 5/2
k = 10/4 or 5/2
Equation?
y = 5/2 x
Is this a direct variation? If yes, give the
constant of variation (k) and the equation.
x y
10 25
6 15
4 10
2 5
12. X Y
15 5
3 26
1 75
2 150
No!
The k values are
different!
Is this a direct variation? If yes, give the
constant of variation (k) and the equation.
13. Which of the following is a direct variation?
1. A
2. B
3. C
4. D
Answer
Now
14. Which equation describes the
following table of values?
1. y = -2x
2. y = 2x
3. y = ½ x
4. xy = 200
Answer
Now
x y
10 5
2 1
12 6
20 10
15. Using Direct Variation to find unknowns (y = kx)
Given that y varies directly with x, and y = 28 when
x=7, Find x when y = 52. HOW???
2 -step process
x y
7 28
? 52
1. Find the constant variation
k = y/x or k = 28/7 = 4
k = 4
2. Use y = kx. Find the unknown (x).
52 = 4x or 52/4 = x
x = 13
Therefore:
x =13 when y = 52
16. Given that y varies directly with x, and y = 3 when
x = 9, Find y when x = 40.5. HOW???
2 - step process x y
9 3
40.5 ?
1. Find the constant variation.
k = y/x or k = 3/9 = 1/3
k = 1/3
2. Use y = kx. Find the unknown (x).
y = (1/3)40.5
y= 13.5
Therefore:
x = 40.5 when y = 13.5
Using Direct Variation to find unknowns (y = kx)
17. Given that y varies directly with x, and y = 6 when
x = -5, Find y when x = - 8. HOW???
2 - step process
x y
-5 6
-8 ?
1. Find the constant variation.
k = y/x or k = 6/-5 = -1.2
k = -1.2
2. Use y = kx. Find the unknown (x).
y= -1.2(-8)
x= 9.6
Therefore:
x = -8 when y = 9.6
Using Direct Variation to find unknowns (y = kx)
18. Using Direct Variation
to solve word problems
Problem:
A car uses 8 liters of gasoline
to travel 160 km. How much
gasoline will the car use to
travel 400 km?
Step One:
Find points in table
x (gas) y (km)
8 160
? 400
Step Two: Find the constant
variation and equation:
k = y/x or k = 160/8 or 20
Equation: y = 20 x
Step Three: Use the equation
to find the unknown.
400 = 20x
400 = 20x
20 20
or x = 20 liters
19. Using Direct Variation
to solve word problems
Step One:
Find points in table
Alternative Solution:
Step Three:
Solve for the unknown
160
8
=
400
𝑥
160x =8(400)
or 20 lit.
𝑥 =
8(400)
160
Problem: A car uses 8 liters of
gasoline to travel 160 km.
How much gasoline will the
car use to travel 400 km?
x (gas) y (km)
8 160
? 400
Where: x1 = 8, y1 = 160
x2 = ? y2 = 400
Step Two: Form a proportion
Since k1 = k2
𝑦1
𝑥1
=
𝑦2
𝑥2
20. Step One: Find points in table.
Step Two: Find the constant
variation.
k =
𝑦
𝑥
k =
1000
5
= 200
Step Three:
Use the equation to find the unknown
y = k(x)
y = 200(30) or y = 6000
Using Direct Variation
to solve word problems
Problem:
Julio’s wages vary
directly as the number of hours
that he works. If his wag for 5
hours is P1000, how much will
there be in 30 hours?
X (hours) Y (wages)
5 1000
30 ?
21. Using Direct Variation
to solve word problems
Problem:
Julio’s wages vary directly as the number
of hours that he works. If his wage for
5 hours is P1000, how much will there be
in 30 hours?
Use the proportion and solve for the
unknown:
Alternative Method
or
𝑥1
𝑦1
=
𝑥2
𝑦2
22. Reflect:
How did you find the activity?
What were the problems encountered
in working with the group activity?
How were you able to manage and
mitigate the circumstances you’ve
encountered?
23. ASSIGNMENT:
A. Choose and evaluate 3 odd problems if your first
name starts with a vowel, otherwise, choose 3 even
numbers if your first name starts with consonant.
Reference: LM, p. 203
B. Make a narrative of your inspiring experience
where knowledge of direct proportion guided and
molded you to be a better individual.
Be ready to share next meeting.