The document provides solutions to 10 math word problems. Question 10 asks for the length of segment AE given that segment ED is 6 units, segment AB is 10 units, and angle ECD is 60 degrees. The solution notes that triangles CDE and EAF are both 30-60-90 triangles. It is determined that EF = 4√3, BF = 2√3, and AF = 10 - 2√3. Using the properties of 30-60-90 triangles, the length of AE is calculated to be 20 - 4√3 units.
IIT JAM MATH 2018 Question Paper | Sourav Sir's ClassesSOURAV DAS
IIT JAM Math Previous Year Question Paper
IIT JAM Math 2018 Question Paper
IIT JAM Preparation Strategy
For full solutions contact us.
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IIT JAM MATH 2018 Question Paper | Sourav Sir's ClassesSOURAV DAS
IIT JAM Math Previous Year Question Paper
IIT JAM Math 2018 Question Paper
IIT JAM Preparation Strategy
For full solutions contact us.
Call - 9836793076
IIT JAM MATH 2019 Question Paper | Sourav Sir's ClassesSOURAV DAS
IIT JAM Preparation Strategy
IIT JAM Math Previous Year Question Paper
IIT JAM Math 2019 Question Paper
For full solutions contact us.
Call - 9836793076
What's the worst that can happen #Lascot14 #LKCE14 2014somesheep
ENABLING AUTHENTIC TRUST AT WORK
Trust is the metric that best reflects the quality of our relationships and of our social connections. Without trust, organisational improvements efforts cannot flourish. We reliably find the absence of trust is the cause for teams failing to adopt agile or lean practices successfully. How can trust be developed to support successful adoption?
We're physically hardwired for connection. Rejection hurts. We get meaning and validation where connection allows us to be authentic. Yet we exist in environments that routinely inform us, that what we do and who we are, is not "Good Enough". We are shamed into conformity (often masqueraded as improvement) and blamed for failures.
"Management, in most of its incarnations, is an institutionalized form of distrust" say Robert Solomon and Fernando Flores.
This talk explores how we can remain authentic in a blame culture; how we can build authentic trust and enable safe-to-fail environments to strengthen our connections, as well as my own experience applying these practices.
Here's a presentation the author made for the communications students at the National Institute of Fashion Technology, New Delhi. Circa 2012. Uploaded here for the benefit of those who think before they start cracking ideas.
All the thoughts expressed here are purely personal and are a result of the author's professional experience of working with some of India's leading advertising agencies as creative director. Some of the pictures used for reference are taken from google images and advertising blogs. I hope the creators of those images won't mind.
IIT JAM MATH 2019 Question Paper | Sourav Sir's ClassesSOURAV DAS
IIT JAM Preparation Strategy
IIT JAM Math Previous Year Question Paper
IIT JAM Math 2019 Question Paper
For full solutions contact us.
Call - 9836793076
What's the worst that can happen #Lascot14 #LKCE14 2014somesheep
ENABLING AUTHENTIC TRUST AT WORK
Trust is the metric that best reflects the quality of our relationships and of our social connections. Without trust, organisational improvements efforts cannot flourish. We reliably find the absence of trust is the cause for teams failing to adopt agile or lean practices successfully. How can trust be developed to support successful adoption?
We're physically hardwired for connection. Rejection hurts. We get meaning and validation where connection allows us to be authentic. Yet we exist in environments that routinely inform us, that what we do and who we are, is not "Good Enough". We are shamed into conformity (often masqueraded as improvement) and blamed for failures.
"Management, in most of its incarnations, is an institutionalized form of distrust" say Robert Solomon and Fernando Flores.
This talk explores how we can remain authentic in a blame culture; how we can build authentic trust and enable safe-to-fail environments to strengthen our connections, as well as my own experience applying these practices.
Here's a presentation the author made for the communications students at the National Institute of Fashion Technology, New Delhi. Circa 2012. Uploaded here for the benefit of those who think before they start cracking ideas.
All the thoughts expressed here are purely personal and are a result of the author's professional experience of working with some of India's leading advertising agencies as creative director. Some of the pictures used for reference are taken from google images and advertising blogs. I hope the creators of those images won't mind.
Question 1 of 502.0 PointsSimplify the complex rational expres.docxmakdul
Question 1 of 50
2.0 Points
Simplify the complex rational expression.
A.
B.
C.
D.
Question 2 of 50
2.0 Points
Solve the quadratic equation by the square root property. (2x + 5) 2 = 49
A. {-6, 1}
B. {0, 1}
C. {-27, 27}
D. {1, 6}
Question 3 of 50
2.0 Points
Solve the linear equation.
A.
B.
C.
D.
Question 4 of 50
2.0 Points
Write the number in scientific notation.
0.000779
A.
7.79 x 10 -4
B.
7.79 x 10 4
C.
7.79 x 10 -3
D.
7.79 x 10 -5
Question 5 of 50
2.0 Points
Graph the equation in the rectangular coordinate system.
3y = 15
A.
B.
C.
D.
Question 6 of 50
2.0 Points
Along with incomes, people's charitable contributions have steadily increased over the past few years. The table below shows the average deduction for charitable contributions reported on individual income tax returns for the period 1993 to 1998. Find the average annual increase between 1995 and 1997.
A. $270 per year
B. $280 per year
C. $335 per year
D. $540 per year
Question 7 of 50
2.0 Points
Find the domain of the function.
A.
(-∞, 6) (6, ∞)
B.
C.
D.
(-∞, 6]
Question 8 of 50
2.0 Points
Graph the line whose equation is given.
A.
B.
C.
D.
Question 9 of 50
2.0 Points
Find the zeros of the polynomial function.
f(x) = x 3 + 5x 2 – 4x – 20
A. x = –5, x = 4
B. x = –2, x = 2
C. x = –5, x = –2, x = 2
D. x = 5, x = –2, x = 2
Question 10 of 50
2.0 Points
You have 332 feet of fencing to enclose a rectangular region. What is the maximum area?
A. 6889 square feet
B. 6885 square feet
C. 110,224 square feet
D. 27,556 square feet
Question 11 of 50
2.0 Points
Find the vertical asymptotes, if any, of the graph of the rational function.
A. x = 4 and x = 4
B. x = 4
C. x = 0 and x = 4
D. No vertical asymptote
Question 12 of 50
2.0 Points
Find the y-intercept for the graph of the quadratic function.
y + 4 = (x + 2) 2
A. (0, 4)
B. (0, 0)
C. (4, 0)
D. (0, -4)
Question 13 of 50
2.0 Points
Use Newton's Law of Cooling, T = C + (T0 – C).e kt, to solve the problem.
A cup of coffee with temperature 102°F is placed in a freezer with temperature 0°F. After 8 minutes, the temperature of the coffee is 52.5°F. What will its temperature be 13 minutes after it is placed in the freezer? Round your answer to the nearest degree.
A. 32°F
B. 29°F
C. 35°F
D. 27°F
Question 14 of 50
2.0 Points
Use the graph of f(x) = log x to obtain the graph of g(x) = log x + 5.
A.
B.
C.
D.
Question 15 of 50
2.0 Points
Evaluate or simplify the expression without using a calculator.
log 1000
A.
3
B.
30
C.
D.
Question 16 of 50
2.0 Points
A fossilized leaf contains 15% of its normal amount of carbon 14. How old is the fossil (to the nearest year)? Use 5600 years as the half-life of carbon 14. Solve the problem.
A. 35,828
B. 15,299
C. 1311
D. 21,839
Question 17 of 50
2.0 Points
Find the exact value of the expression.
tan -1 0
A.
0
B.
C.
D.
Qu ...
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Connector Corner: Automate dynamic content and events by pushing a buttonDianaGray10
Here is something new! In our next Connector Corner webinar, we will demonstrate how you can use a single workflow to:
Create a campaign using Mailchimp with merge tags/fields
Send an interactive Slack channel message (using buttons)
Have the message received by managers and peers along with a test email for review
But there’s more:
In a second workflow supporting the same use case, you’ll see:
Your campaign sent to target colleagues for approval
If the “Approve” button is clicked, a Jira/Zendesk ticket is created for the marketing design team
But—if the “Reject” button is pushed, colleagues will be alerted via Slack message
Join us to learn more about this new, human-in-the-loop capability, brought to you by Integration Service connectors.
And...
Speakers:
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DevOps and Testing slides at DASA ConnectKari Kakkonen
My and Rik Marselis slides at 30.5.2024 DASA Connect conference. We discuss about what is testing, then what is agile testing and finally what is Testing in DevOps. Finally we had lovely workshop with the participants trying to find out different ways to think about quality and testing in different parts of the DevOps infinity loop.
Epistemic Interaction - tuning interfaces to provide information for AI supportAlan Dix
Paper presented at SYNERGY workshop at AVI 2024, Genoa, Italy. 3rd June 2024
https://alandix.com/academic/papers/synergy2024-epistemic/
As machine learning integrates deeper into human-computer interactions, the concept of epistemic interaction emerges, aiming to refine these interactions to enhance system adaptability. This approach encourages minor, intentional adjustments in user behaviour to enrich the data available for system learning. This paper introduces epistemic interaction within the context of human-system communication, illustrating how deliberate interaction design can improve system understanding and adaptation. Through concrete examples, we demonstrate the potential of epistemic interaction to significantly advance human-computer interaction by leveraging intuitive human communication strategies to inform system design and functionality, offering a novel pathway for enriching user-system engagements.
The Art of the Pitch: WordPress Relationships and SalesLaura Byrne
Clients don’t know what they don’t know. What web solutions are right for them? How does WordPress come into the picture? How do you make sure you understand scope and timeline? What do you do if sometime changes?
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UiPath Test Automation using UiPath Test Suite series, part 3DianaGray10
Welcome to UiPath Test Automation using UiPath Test Suite series part 3. In this session, we will cover desktop automation along with UI automation.
Topics covered:
UI automation Introduction,
UI automation Sample
Desktop automation flow
Pradeep Chinnala, Senior Consultant Automation Developer @WonderBotz and UiPath MVP
Deepak Rai, Automation Practice Lead, Boundaryless Group and UiPath MVP
Dev Dives: Train smarter, not harder – active learning and UiPath LLMs for do...UiPathCommunity
💥 Speed, accuracy, and scaling – discover the superpowers of GenAI in action with UiPath Document Understanding and Communications Mining™:
See how to accelerate model training and optimize model performance with active learning
Learn about the latest enhancements to out-of-the-box document processing – with little to no training required
Get an exclusive demo of the new family of UiPath LLMs – GenAI models specialized for processing different types of documents and messages
This is a hands-on session specifically designed for automation developers and AI enthusiasts seeking to enhance their knowledge in leveraging the latest intelligent document processing capabilities offered by UiPath.
Speakers:
👨🏫 Andras Palfi, Senior Product Manager, UiPath
👩🏫 Lenka Dulovicova, Product Program Manager, UiPath
Elevating Tactical DDD Patterns Through Object CalisthenicsDorra BARTAGUIZ
After immersing yourself in the blue book and its red counterpart, attending DDD-focused conferences, and applying tactical patterns, you're left with a crucial question: How do I ensure my design is effective? Tactical patterns within Domain-Driven Design (DDD) serve as guiding principles for creating clear and manageable domain models. However, achieving success with these patterns requires additional guidance. Interestingly, we've observed that a set of constraints initially designed for training purposes remarkably aligns with effective pattern implementation, offering a more ‘mechanical’ approach. Let's explore together how Object Calisthenics can elevate the design of your tactical DDD patterns, offering concrete help for those venturing into DDD for the first time!
GDG Cloud Southlake #33: Boule & Rebala: Effective AppSec in SDLC using Deplo...James Anderson
Effective Application Security in Software Delivery lifecycle using Deployment Firewall and DBOM
The modern software delivery process (or the CI/CD process) includes many tools, distributed teams, open-source code, and cloud platforms. Constant focus on speed to release software to market, along with the traditional slow and manual security checks has caused gaps in continuous security as an important piece in the software supply chain. Today organizations feel more susceptible to external and internal cyber threats due to the vast attack surface in their applications supply chain and the lack of end-to-end governance and risk management.
The software team must secure its software delivery process to avoid vulnerability and security breaches. This needs to be achieved with existing tool chains and without extensive rework of the delivery processes. This talk will present strategies and techniques for providing visibility into the true risk of the existing vulnerabilities, preventing the introduction of security issues in the software, resolving vulnerabilities in production environments quickly, and capturing the deployment bill of materials (DBOM).
Speakers:
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Robert Boule is a technology enthusiast with PASSION for technology and making things work along with a knack for helping others understand how things work. He comes with around 20 years of solution engineering experience in application security, software continuous delivery, and SaaS platforms. He is known for his dynamic presentations in CI/CD and application security integrated in software delivery lifecycle.
Gopinath Rebala
Gopinath Rebala is the CTO of OpsMx, where he has overall responsibility for the machine learning and data processing architectures for Secure Software Delivery. Gopi also has a strong connection with our customers, leading design and architecture for strategic implementations. Gopi is a frequent speaker and well-known leader in continuous delivery and integrating security into software delivery.
3. Question 1
What is the smallest three-digit number that
leaves a remainder of 1 when divided by 2,
3, and 5?
(a) 121
(b) 151
(c) 181
(d) 211
math-tanong CEER Supplement set 1
4. Question 1 Solution
• Determine first the least common multiple
(LCM) of 2, 3, and 5 – which is 30.
• Now, find the smallest three-digit multiple of
the LCM – that’s 120.
• The smallest 3-digit number that leaves a
remainder of 1 when divided by 2, 3, and 5 is
the smallest 3-digit number that leaves a
remainder of 1 when divided by 30, the LCM
– that’s 121 ☺
math-tanong CEER Supplement set 1
5. Question 2
The pie chart above shows the distribution of DVD
rentals from Dibidi Doo Bee shop for a single night. If
250 DVDs were rented that night, how many more
action movies were rented than horror movies?
(a) 10
(b) 20
(c) 22
(d) 25
math-tanong CEER Supplement set 1
6. Question 2 Solution
TIP: For this type of problem, just subtract the rates
before applying the percentage – no need to multiply
first before subtracting.
Those who rented action
movies are
22% — 12% = 10%
more than those who rented
horror movies. Thus, there are
250(10%) = 250(0.1) = 25
more action movies rented than
horror movies.
math-tanong CEER Supplement set 1
7. Question 3
Suppose that n and p are integers greater than 1. If 5n is
a perfect square and 75np is a perfect cube, what is the
smallest value of n + p?
(a) 5 (c) 8
(b) 6 (d) 15
math-tanong CEER Supplement set 1
8. Question 3 Solution
If 5n is a perfect square, the smallest possible value of n
would be 5. Now,
75np = 52 i 3 i np
If 75np is a perfect cube and n = 5 is the smallest
possible value of n, the smallest possible value for p is
32 = 9 since
75np = 52 i 3 i 5 i 32 = 53 i 33
Hence, the smallest possible value for n + p is
5 + 9 = 14
math-tanong CEER Supplement set 1
9. Question 4
For real numbers a and b, define the operation
a ∗ b = 3b − 2 a
If 2 ∗ 3 = 3 ∗ X , what is the value of X?
?
11
( a) 2 ( c)
3
9
( b) ( d) 4
2
math-tanong CEER Supplement set 1
10. Question 4 Solution
By definition of the operation "∗ ":
2 ∗ 3 = 3 ∗ X ⇒ 3 ( 3 ) − 2 ( 2 ) = 3X − 2 ( 3 )
5 = 3x − 6
3 x = 11
11
x=
3
math-tanong CEER Supplement set 1
11. Question 4 Solution
Of course, you can do substitution. By the definition,
2 ∗ 3 = 3 ( 3 ) − 2 (2 ) = 5 and
3 ∗ X = 3 ( X ) − 2 ( 3 ) = 3X − 6
Q: Which of the choices will give a value of 5 when
substituted to X in 3X − 6? Choice (c).
math-tanong CEER Supplement set 1
12. Question 5
A test is composed of 25 questions. The score of an
examinee is obtained by giving him 4 points for each
correct answer and deducting 1 point for each wrong
answer. If an examinee answered all the questions and
obtained a score of 70, how many questions did he
answer correctly?
(a) 17 (c) 19
(b) 18 (d) 20
math-tanong CEER Supplement set 1
13. Question 5 Solution
Let x = the number of correct answers
25 – x = the number of wrong answers
(since there are 25 questions in all)
No. of Points Equation :
Equatio n
questions per Total points
answered question 4 x − ( 25 − x ) = 70
Correct x 4 4x 4 x − 25 + x = 70
1(25 − x)
5 x = 95
Wrong 25 − x 1
= 25 − x x = 19
math-tanong CEER Supplement set 1
14. Question 6
In the figure below, 1 2 . What is the
value of x?
(a) 40
(b) `50
(c) 60
(d) 70
math-tanong CEER Supplement set 1
15. Question 6 Solution
Draw an extra line passing through the vertex of
angle x and parallel to 1 and 2
m°
n°
math-tanong CEER Supplement set 1
16. Question 6 Solution
If m and n are the angles formed as in the figure, then,
using the ideas of angles formed by a transversal:
m = 20 ( corresponding angles )
n = 180 − 150 = 30
(alternate interior 150, m°
thenadjacent) n°
∴ x = m + n = 50
math-tanong CEER Supplement set 1
17. Question 7
If 6 − x = 5.43 , what is the value of 6 + x ?
(a) 6.43
(b) 6.57
(c) 17.43
(d) 17.51
math-tanong CEER Supplement set 1
18. Question 7 Solution
Warning: DO NOT ATTEMPT to solve
for x! Sayang ang effort!
6 − x = 5.43 ⇒ − x = 5.43 − 6 = −0.57
x = 0.57
∴ 6 + x = 6 + 0.57 = 6.57
math-tanong CEER Supplement set 1
19. Question 9
Erin calculated the average of 5 numbers to be 38. Then
she found out that she had made an error and had
written 40 for one of the numbers when she should have
written 30. What is the average of the correct 5 numbers?
(a) 32
(b) 34
(c) 36
(d) 38
math-tanong CEER Supplement set 1
20. Question 9 Solution
Let S be the sum of the first 4 numbers that Erin has.
If the average of 5 numbers is 38, including the
erroneous 40, then
S + 40
average = = 38 ⇒ S + 40 = 190
5
But the last number should be 30 instead of 40, so
S + 40 − 10 = 190 − 10 ⇒ S + 30 = 180
The average, then, should have been
S + 30 180
= = 36
5 5
math-tanong CEER Supplement set 1
21. Question 9 Solution
“Expert” shortcut solution: Start with
S + 40
original average = = 38 ⇒ S + 40 = 190
5
Then the correct average is
S + 30 ( S + 40 ) − 10 190 − 10 180
= = = = 36
5 5 5 5
math-tanong CEER Supplement set 1
22. Question 10
In the diagram, FDCB is a rectangle. Segment ED is 6
units long, segment AB is 10 units long, and the measure
of angle ECD is 60°.What is the length of segment AE?
3
( a) 20 ( c) 20 −
2
3
( b) ( d) 20 −4 3
2
math-tanong CEER Supplement set 1
23. Question 10 Solution
Fast facts about the figure:
1. Triangle CDE is a 30-60-90 triangle with angle DEC =
30 degrees.
2. Since DF is parallel
to CB, and AE acts y y
as a transversal, then 2 x 3
30°
angle AEF is 30 2
degrees. Hence, x x
triangle EAF is also a 2 x 2
30-60-90 triangle.
math-tanong CEER Supplement set 1
24. Question 10 Solution
Hence, we have the following:
1. By the properties of a 30-60-90 triangle:
6 12 3
EC = 2 = i =4 3
3 3 3
30°
x 3
=6
2
1
DC = EC = 2 3 x
2 x 2
math-tanong CEER Supplement set 1
25. Question 10 Solution
2. Since BCDF is a rectangle, DC = BF, so
DC = BF = 2 3
3. Since AB = 10, then
AF = 10 − BF 30°
= 10 − 2 3 2 3 2 3
math-tanong CEER Supplement set 1
26. Question 10 Solution
4. Since EAF is a 30-60-90 triangle with angle AEF
= 30 degrees, then
AE = 2AF
(
y = 2 10 − 2 3 )
(
= 2 10 − 2 3 ) 10 − 2 3
30°
= 20 − 4 3 2 3
math-tanong CEER Supplement set 1
27. Question 10 Solution
Expert fast solution! Let x = EF and z = AE Based on the
established facts earlier, you have the figure shown.
x 3 12 3
=6⇒x = i =4 3
2 3 3
x 4 3 z
= =2 3 z
2 2 y =
2 x 3
x 30° =6
y = 10 − = 10 − 2 3 2
2
x x
z
2
(
y = = 10 − 2 3 ⇒ z = 2 10 − 2 3 ) 2 x 2
= 20 − 4 3
math-tanong CEER Supplement set 1