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This is a nice exercise that shows how factoring patterns behave in various operations. Try (x+2)^2 and (x−3)^2. You'll see that the symmetry in their construction simplifies the outcomes whether you add, subtract, or multiply them. Additionally, evaluating at x=1/7 demonstrates how small values affect polynomial outputs, serving as a useful reminder of the connection between algebra and real numbers.
You're right to observe that.
On December 15, 2017, the AIM (AOL Instant Messenger) service was formally shut down.
The field you see in your account preferences is no longer functional and is an antiquated relic from that time period. It ought to be removed from the existing profile settings on the website.
The forums are a prime audience for math websites, but the marketers are employing spammy, non-contributive techniques to promote their links, which is against the community rules against unsolicited advertising and self-promotion. This is the straightforward explanation for the banning.
That seems intriguing!
It's always interesting to see fresh approaches to traditional factoring techniques. What is the step-by-step comparison between your method and the AC method: a simpler pattern or fewer calculations? I would be delighted to see your explanation!
That sounds fantastic!
Are the new animations centred around a particular subject, such as geometry or algebra? These kinds of visual maths tools make studying so much simpler; I'd want to know what's been added!
QUESTION 4:
ANSWER: D= 402m^5
Question 5:
Answer: 5195 cm^3
1+3+5+......+(2n-1)= n^2
A is right; there isn't enough data to identify the area in a unique way.
The equilateral triangle's size is not uniquely fixed by the distances to its three vertices.
As a result, the area cannot be calculated using the information provided.
Tony needs to make two cuts (one less cut than pieces) in order to cut a trunk into three pieces.
⏱️ Two cuts → Twenty minutes
Thus, 1 cut equals 20 ÷ 2 = 10 minutes.
Tony needs five cuts to make six parts. 5 x 10 = 50 minutes
Answer 50 minutes.
Your definition of “pseudo-compact” (every closed cover has a finite subcover) is actually the dual of compactness, commonly referred to as anti-compactness.
In ℝ, such sets must be finite because any infinite set can be covered by an infinite number of closed singletons, which do not have a finite subcover. Thus, only finite subsets of ℝ can be considered “pseudo-compact” in this regard.
Answer: 420 arrangement
Answer 1: They will both finish marking a paper together at 1:30 pm
Answer2: 2 lb of first alloy
3 lb of second alloy
Answer 3: tin per kg of alloy = 5/26 kg = 0.192 kg
Answer 4: 17th Jan temperature 4.8 degrees Celsius higher than 9th Jan
If 450 is first increased by 10% and then decreased by 15% , Then the resulting number is?
Answer: 420.75
Pick 4 random points on a sphere. what Probability function has the volume of tetrahedron with these points?
I've seen the question of average volume from somewhere and I am interested in the probabilities of the volume. (unfortunately I couldn't understand the answer...)
I'm sorry if my english is bad. If you don't understand anything please let me know. Thank you!
The tetrahedron's volume V depends on the scalar triple product of the four randomly selected locations on a sphere rather than having a straightforward closed-form probability function.
Small volumes are more likely since the majority of tetrahedra are almost flat.
For a unit sphere, the average volume is E[V]=1/105.
Question 1 : Two numbers are respectfully 20% and 50% more than a third , what percentage is the first to the second?
Question 2: If Ali salary is 35% more than that of Hashim , How much percent is Hashim salary less than that of Ali?
Question 3: If Maryam's salary is 25% less than that of Fatima, then how much percent is Fatima's salary more than that of Maryam?
Question 4: After deduction 20% from a certain sum, and then 30% from the remainder , there is 3500 left. Find the original sum?
Answer 1: 80%
Answer 2: About 25.9% less
Answer 3: 33.3% more
Answer 4: 6250
I truly value the framework and thank you for the kind welcome and clear instructions. I will undoubtedly begin providing exercises in the near future, making sure that they adhere to the bold and numbered Exercises pattern. It's a great idea to keep this area focused and beneficial for everyone's education!
Right triangle"
a (6,8,10) ---- hypotenuse 10
c (10,24,26) ---- hypotenuse 26
Not right triangles: B and D
Prime number 2,3,5,7 --- 4 primes
favourable pairs= c(4,2)=6, total pair=C(10,2)=45
Probability =6/45 =2/15
Hello, @math9maniac
Paul's Online Math Notes and Khan Academy are excellent free resources on differential calculus that offer many practice problems along with concise explanations. They are ideal for brushing up on your economics knowledge!
Yes, both forums deal with maths, but they have different objectives.
Exercises Forum: where complete math problems and solutions are posted. You practise there by working through or talking about exercises. You can verify other people's responses or share your own.
Use the Help Me Forum to ask questions when you're having trouble. You post a problem there for assistance or explanations, rather than just solutions, if you don't know where to begin or where you went wrong.
Yes, that is a typical issue! Selecting a topic that feels relevant and new can sometimes be the most difficult part. Here are several methods to generate ideas:
Examine current difficulties in patient care, mental health support, nurse burnout, and healthcare technology.
Examine your personal experiences; something that inspired or disappointed you during your clinical rotations could serve as a solid starting point.
Examine current nursing journals; they frequently identify unresolved issues or trending research gaps.
Speak with peers or mentors; these conversations frequently reveal real-world issues that are worth researching.
3.214*10^1
4.21*10^-3
2.1210*10^4
5.14*10^-2
3 heads (5 flips): 5/16 = 0.31
No rain 2 of 3 days: 0.288
Pages 100-250 (4 tries): 0.064
That way of thinking is fantastic. Once you begin to appreciate maths, it becomes an integral part of your daily life. Clothes with maths themes seem like a fun way to express that enthusiasm. Continue to enjoy maths and spread the good vibes.
That's fantastic to hear! ? It's wonderful to see more people finding and enjoying quality maths tools, so thank you for sharing. Cheers to soon having more than 100,000 members! ?