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Discover Frequently Asked Math Questions and Their Answers

• How do you write the quadratic function #y=x^2+14x+11# in vertex form?
• How many points does #y=-2x^2+x-3# have in common with the vertex and where is the vertex in relation to the x axis?
• How do you solve #4x^4 - 16x^2 + 15 = 0#?
• How do you solve #2x^2+3x-2=0#?
• How do you solve #7(x-4)^2-2=54# using any method?
• How do you solve #x^2 + 5x + 6 = 0# algebraically?
• How do you use factoring to solve this equation #3x^2/4=27#?
• What is the vertex of # y = (1/8)(x – 5)^2 - 3#?
• How do you solve #| x^2+3x-2 | =2#?
• How do you solve #2x²+3x=5 # using the quadratic formula?
• How do you find the derivative of #y=tan(3x)# ?
• How do you differentiate #f(x)= 1/ (lnx)# using the quotient rule?
• How do you differentiate #(3+sin(x))/(3x+cos(x))#?
• What is the derivative of this function #sin^-1(x/4)#?
• What is the derivative of this function #y=sin^-1(2x)#?
• What is the derivative of this function #arcsec(x^3)#?
• What is the derivative of #y=sin(tan2x)#?
• How do you differentiate #cos(pi*x^2)#?
• What is the derivative of #f(x)=(x^2-4)ln(x^3/3-4x)#?
• What is the derivative of #y=3sin(x) - sin(3x)#?
• A triangle has corners at #(5 ,1 )#, #(2 ,9 )#, and #(4 ,3 )#. What is the area of the triangle's circumscribed circle?
• How can we find the area of irregular shapes?
• A triangle has vertices A, B, and C. Vertex A has an angle of #pi/2 #, vertex B has an angle of #( pi)/3 #, and the triangle's area is #24 #. What is the area of the triangle's incircle?
• An isosceles triangle has sides A, B, and C with sides B and C being equal in length. If side A goes from #(7 ,1 )# to #(8 ,5 )# and the triangle's area is #27 #, what are the possible coordinates of the triangle's third corner?
• A triangle has corners at #(7 , 9 )#, #(3 ,7 )#, and #(4 ,8 )#. What is the radius of the triangle's inscribed circle?
• Circle A has a center at #(2 ,3 )# and a radius of #1 #. Circle B has a center at #(0 ,-2 )# and a radius of #4 #. Do the circles overlap? If not, what is the smallest distance between them?
• A parallelogram has sides A, B, C, and D. Sides A and B have a length of #2 # and sides C and D have a length of # 7 #. If the angle between sides A and C is #pi/4 #, what is the area of the parallelogram?
• What is a quadrilateral that is not a parallelogram and not a trapezoid?
• Your teacher made 8 triangles he need help to identify what type triangles they are. Help him?: 1) #12, 16, 20# 2) #15, 17, 22# 3) #6, 16, 26# 4) #12, 12, 15# 5) #5,12,13# 6) #7,24,25# 7) #8,15,17# 8) #9,40,41#
• A triangle has corners A, B, and C located at #(3 ,5 )#, #(2 ,9 )#, and #(4 , 8 )#, respectively. What are the endpoints and length of the altitude going through corner C?
• What is the GCF of the set #64, 16n^2, 32n#?
• How do you write the reciprocal number of 5?
• Jeanie has a 3/4 yard piece of ribbon. She needs one 3/8 yard piece and one 1/2 yard piece. Can she cut the piece of ribbon into the two smaller pieces? Why?
• How do you find the GCF of #25k, 35j#?
• How do you write 132/100 in a mixed number?
• How do you evaluate the power #2^3#?
• How do you simplify #(4^6)^2 #?
• How do you convert 3.2 tons to pounds?
• How do you solve #\frac { 5} { 8} + \frac { 3} { 2} ( 4- \frac { 1} { 4} ) - \frac { 1} { 8}#?
• What are some acronyms for PEMDAS?
• How do you find all the asymptotes for function #y=(3x^2+2x-1)/(x^2-4 )#?
• How do you determine whether the graph of #y^2+3x=0# is symmetric with respect to the x axis, y axis or neither?
• How do you determine whether the graph of #y^2=(4x^2)/9-4# is symmetric with respect to the x axis, y axis, the line y=x or y=-x, or none of these?
• How do you find the end behavior of #-x^3+3x^2+x-3#?
• How do you find the asymptotes for #(2x^2 - x - 38) / (x^2 - 4)#?
• How do you find the asymptotes for #f(x) = (x^2) / (x^2 + 1)#?
• How do you find the vertical, horizontal and slant asymptotes of: #(3x-2) / (x+1)#?
• How do you find the Vertical, Horizontal, and Oblique Asymptote given #s(t)=(8t)/sin(t)#?
• How do you find vertical, horizontal and oblique asymptotes for #(x^3+1)/(x^2+3x)#?
• How do you find vertical, horizontal and oblique asymptotes for #y = (4x^3 + x^2 + x + 5 )/( x^2 + 3x)#?
• What is a pooled variance?
• What is the mean, mode median and range of 11, 12, 13, 12, 14, 11, 12?
• What is the z-score of sample X, if #n = 81, mu= 43, St. Dev. =90, and E[X] =57#?
• The camera club has five members, and the mathematics club has eight. There is only one member common to both clubs. In how many ways could a committee of four people be formed with at least one member from each club?
• How many permutations are there of the letter in the word baseball?
• How do you evaluate 6p4?
• What is the probability of #X= 6# successes, using the binomial formula?
• A lottery has a $100 000 first prize, a $25 000 second prize, and five $500 third prizes. A total of 50000 tickets are sold. What is the probability of winning a prize in this lottery?
• When a event is reported, the probability that is a negative event is 30%. What is the probability that 3 out of 5 reported events are negative?
• What is the median of 5, 19, 2, 28, 25?
• How do you solve this trigonometric equation?
• What is the frequency of #f(theta)= sin 3 t - cos2 t #?
• How do you evaluate #Sin(pi/2) + 6 cos(pi/3) #?
• How do you find the values of all six trigonometric functions of a right triangle ABC where C is the right angle, given a=9, b=40, c=41?
• How do you express (5*pi)/4 into degree?
• Solve for θ on the interval [90°,180°]:2tanθ +19 = 0?
• Prove that #((cos(33^@))^2-(cos(57^@))^2)/((sin(10.5^@))^2-(sin(34.5^@))^2)= -sqrt2# ?
• A triangle has sides A, B, and C. The angle between sides A and B is #(pi)/3# and the angle between sides B and C is #pi/6#. If side B has a length of 26, what is the area of the triangle?
• How do you write the following in trigonometric form and perform the operation given #(sqrt3+i)(1+i)#?
• A triangle has sides A, B, and C. The angle between sides A and B is #(2pi)/3#. If side C has a length of #32 # and the angle between sides B and C is #pi/12#, what is the length of side A?

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Answered problems by math tutors.

A soccer coach wants to know how many hours a week his players spend training at home. He has 20 players and he decides to ask the first 4 players to arrive at Monday's soccer practice how many hours they spend training per week. He then calculated that they spend an average of 10 hour per week. Therefore, he assumed that all the players train 10 hours per week. Is this an example of a simple random sample? 

A No, because each student did not have an equal chance of being selected. 

B Yes, because each student had an equal chance of being selected. 

C No, because he did not sample every soccer player. 

D Yes, the minimum number of students sampled need to be four for it to be a simple random sample. 

The figure shows the graph of f. 

(b) Which of the cx-values A, B, C, D, E, F and G appear to be inflection points of f? 

The diagram shows two rectangles, A and B. 

All measurements are in centimetres. 

The area of rectangle A is equal to the area of rectangle B. 

Find an expression for y in terms of w. 

George's page contains twice as many typed words as Bill's page and Bill's page contains 50 fewer words than Charlie's page. If each person can type 60 words per minute, after one minute, the difference between twice the number of words on Bill's page and the number of words on Charlie's page is 210. How many words did Bill's page contain initially?

 Bill's page initially contained        words. 

Simplify 2sin(5x)cos(3x) - sin(2x) to one an expression containing one trigonometric function. Then graph the original function and your simplified version to verify they are identical. Enclose arguments of functions in parentheses. For example, sin(2x). 

2sin(5x)cos(3x)-sin(2x)=

A health psychologist was interested in the effects of vitamin supplements on the immune system. Three groups of adults were exposed (in a highly ethical way) to the cold virus; one group took no supplements for a week before exposure, another had vitamin C supplements, and a third had multivitamins (excluding C). The severity of the cold was measured as a percentage (0% = not contracted, 100% very severe symptoms). The psychologist also measured the number of cigarettes that each person smoked per day, as smoking suppresses the immune system. The psychologist was interested in the differences in the severity of the illnesses across different vitamin groups accounting for cigarette usage. What technique should be used to analyse these data? 

A. Two-way repeated-measures ANOVA 

B. Two-way independent ANOVA 

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Export to gallery

Work together, learn together! This app lets you save all your calculations and steps with a single tap. Geometry Solver is a great way to collaborate with friends on homework or study for a test together.

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With over 110 2D and 3D shapes, an AI assistant powered by ChatGPT, step-by-step solutions, and a weight calculator feature, our app is designed to make geometry calculations and math problem-solving a breeze.

Download Geometry Solver

Click on the AppStore link and start learning.

Scan your word problem

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Calculate shape properties

Such as surface area, perimeter, volume and others.

Watch it in action

Still not convinced? Watch a short clip that shows all the major features!

Screenshots

Solve Geometry Problems with Ease: Our Geometry Solver app provides quick and accurate solutions for calculating perimeter, surface area, and volume of over 110 2D and 3D shapes. Whether it's triangles, circles, spheres, or pyramids, we've got you covered.

Enter 3 values to calculate all properties of a triangle

Solve surface area and volume of 3D shapes such as a pyramid

AI assistant powered by ChatGPT will solve your math word problems

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Export your calculations to photo gallery and share it with your friends

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I can and have done most of these formulas with a calculator over my career but I don’t have to these days. This app is well organized, professional in its appearance and functionality.

Well designed

The list of geometric shapes just keeps growing! Please if you could add a kite shape, that would be awesome. Thank you.

Regular updates

What a great app. Clear and concise. Easy to use and view. Shows formulas. Even links out to wikipedia for further info on a particular shape or exercise. Impressive! Thanks Devs!

This is amazing

Geometry Solver app has been a game-changer for me as a math teacher. It saves me so much time and helps my students understand geometry concepts better. There are frequent improvements and updates.

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Geometry Solver includes all the shapes I am likely to need. The variables are clearly indicated and a pop-up window is provided indicating the formula applied. It all makes for a very useful app.

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Frequently asked questions, what types of geometry problems can smodin solve, is the smodin geometry solver suitable for all levels of education, how can the solver help improve my grades, can i use smodin for group projects or study groups, is there a limit to how many questions i can ask, can i export homework solutions.

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Genius mode for chat is far more accurate than standard chat and more likely to get the facts correct.

Learn more about AI:

Explore different ai chat modes:, learn more about math ai:, what is genius mode.

It is an enhanced version of Math AI that provides more knowledge, fewer errors, improved reasoning skills, better verbal fluidity, and an overall superior performance. Due to the larger AI model, Genius Mode is only available via subscription to DeepAI Pro. However, the added benefits often make it a worthwhile investment.

What is Online Mode?

It is an add on that enables Math AI to browse the web for real-time information. It is a great way to learn new things and explore new topics. Sign in to your DeepAI account (no subscription required!) to gain access to this feature.

Ideas for Chatting with the AI

- Can you describe the concept of relativity to me in layman's terms? - What are some unique and entertaining ways to celebrate a friend's anniversary? - Could you walk me through how to use loops in Python?

- Can recall information from previous conversations to provide personalized responses. - Allows users to correct any misunderstandings or errors in the previous interaction. - Is programmed to refuse inappropriate or harmful requests.

- Can occasionally provide incorrect information due to limitations in its training data or understanding. - May inadvertently provide instructions or suggestions that are harmful or biased without realizing it. - Limited knowledge of current events and developments beyond the training data cutoff of 2021.

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• Includes 500 AI Image generations, 1750 AI Chat Messages, 30 AI Video generations, 60 Genius Mode Messages and 60 Genius Mode Images per month. If you go over any of these limits, you will be charged an extra $5 for that group.
• For example: if you go over 500 AI images, but stay within the limits for AI Chat and Genius Mode, you'll be charged $5 per additional 500 AI Image generations.
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ChatGPT has already wreaked havoc on classrooms and changed how teachers approach writing homework, since OpenAI publicly launched the generative AI chatbot in late 2022. School administrators rushed to try to detect AI-generated essays , and in turn, students scrambled to find out how to cloak their synthetic compositions. But by focusing on writing assignments, educators let another seismic shift take place in the periphery: students using AI more often to complete math homework too.

Right now, high schoolers and college students around the country are experimenting with free smartphone apps that help complete their math homework using generative AI . One of the most popular options on campus right now is the Gauth app , with millions of downloads. It’s owned by ByteDance, which is also TikTok’s parent company.

The Gauth app first launched in 2019 with a primary focus on mathematics, but soon expanded to other subjects as well, like chemistry and physics. It’s grown in relevance, and neared the top of smartphone download lists earlier this year for the education category. Students seem to love it. With hundreds of thousands of primarily positive reviews, Gauth has a favorable 4.8 star rating in the Apple App Store and Google Play Store .

All students have to do after downloading the app is point their smartphone at a homework problem, printed or handwritten, and then make sure any relevant information is inside of the image crop. Then Gauth’s AI model generates a step-by-step guide, often with the correct answer.

From our testing on high-school-level algebra and geometry homework samples, Gauth’s AI tool didn’t deliver A+ results and particularly struggled with some graphing questions. It performed well enough to get around a low B grade or a high C average on the homework we fed it. Not perfect, but also likely good enough to satisfy bored students who'd rather spend their time after school doing literally anything else.

The app struggled more on higher levels of math, like Calculus 2 problems, so students further along in their educational journey may find less utility in this current generation of AI homework-solving apps.

Yes, generative AI tools , with a foundation in natural language processing, are known for failing to generate accurate answers when presented with complex math equations. But researchers are focused on improving AI’s abilities in this sector, and an entry-level high school math class is likely well within the reach of current AI homework apps. Will has even written about how researchers at Google DeepMind are ecstatic about recent results from testing a math-focused large language model, called AlphaProof , on problems shown at this year’s International Math Olympiad.

To be fair, Gauth positions itself as an AI study company that’s there to “ace your homework” and help with difficult problems, rather than a cheating aid. The company even goes so far as to include an “ Honor Code ” on its website dictating proper usage. “Resist the temptation to use Gauth in ways that go against your values or school’s expectations,” reads the company’s website. So basically, Gauth implicitly acknowledges impulsive teenagers may use the app for much more than the occasional stumper, and wants them to pinkie promise that they’ll behave.

Prior to publication, a spokesperson for ByteDance did not answer a list of questions about the Gauth app when contacted by WIRED over email.

It’s easy to focus on Gauth’s limitations, but millions of students now have a free app in their pocket that can walk them through various math problems in seconds , with decent accuracy. This concept would be almost inconceivable to students from even a few years ago.

You could argue that Gauth promotes accessibility for students who don’t have access to quality education or who process information at a slower pace than their teacher’s curriculum. It’s a perspective shared by proponents of using AI tools, like ChatGPT, in the classroom. As long as the students all make it to the same destination, who cares what path they took on the journey? And isn’t this just the next evolution in our available math tools? We moved on from the abacus to the graphing calculator, so why not envision generative AI as another critical step forward?

I see value in teachers thoughtfully employing AI in the classroom for specific lessons or to provide students with more personalized practice questions. But I can’t get out of my head how this app, if students overly rely on it, could hollow out future generations’ critical thinking skills—often gleaned from powering through frustrating math classes and tough homework assignments. (I totally get it, though, as an English major.)

Educational leaders are missing the holistic picture if they continue to focus on AI-generated essays as the primary threat that could undermine the current approach to teaching. Instead of arduous assignments to complete outside of class, maybe centering in-class math practice could continue to facilitate positive learning outcomes in the age of AI.

If Gauth and apps like it eventually lead to the demise of math homework for high schoolers, throngs of students will breathe a collective sigh of relief. How will parents and educators respond? I’m not so sure. That remains an open question, and one for which Gauth can’t calculate an answer yet either.

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Uknow.AI: Homework&Math Solver 4+

Unlimited answer all subjects, study evolution edtech pte. ltd..

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Uknow.AI (formerly CheckMath), supported by cutting-edge AI technology and ChatGPT, is a useful solver in your learning journey. You can chat with AI or snap a photo to ask questions on any grade level or subject, all for free. Experience super-fast response times, helping you quickly find detailed explanations for the answers. Snap a photo to check your calculation problems, get accurate results of right and wrong, and easily see where you've made mistakes. 【Advanced Artificial Intelligence】 By integrating the latest AI developed by ourselves and ChatGPT, we provide exceptional answer quality and accuracy. This not only makes your learning more efficient but also brings unprecedented convenience to your learning process. 【24/7 AI Solutions】 Whether it's snapping a photo or typing a question, Uknow.AI understands your problems instantly and provides step-by-step solutions. Uknow.AI is like your around-the-clock tutor, supporting all subjects in elementary, middle, and high schools, such as math, physics, and chemistry, ready to answer and clarify your doubts. 【Simple and Convenient Photo Searching】 Just scan your math problems, and our image recognition technology can instantly and accurately identify the questions, finding complete answer explanations for you within seconds. Whether it's a simple arithmetic operation or a complex function graph, we can handle it with ease. Making learning easier and progress less hard, Uknow.AI will accompany you throughout your growth, helping you achieve your learning goals. Applicable Scenarios: ◇ Encountering challenging problems while doing homework ▶ Snap a photo with your phone and get an instant answer for efficient learning. ◇ Struggling to understand explanations without a teacher nearby ▶ AI is here to explain wherever you are having trouble. ◇ Troubled by fraction calculation, factorization of polynomials, and equations? ▶ Use Smart Calculator for detailed step-by-step explanations. Other More Features: □ Wrongs (free for a limited time): Add questions you got wrong with one tap and categorize and sort them by tags in a move to review questions of the same type and enhance the understanding of relevant math knowledge. □ Smart Calculator: More than just a traditional calculator, Smart Calculator allows you to calculate ordinary expressions, solve equations, enter the expressions with a special keyboard, and view detailed solving steps. Smart Calculator is a useful tool designed to help students learn how to solve equations and calculation questions in an effortless way. Download Uknow.AI for free right away! Uknow.AI User Agreement: https://api.checkmath.net/cm/agreement/en

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Ratings and Reviews

704 Ratings

So, the app is Amazing it’s just that it doesn’t work on IXL, and I’ve been stuck on this same problem for the last 6 hours and have only one question done, I feel like they should just upgrade the app a little to where it is able to adjust to IXL and is able to do the IXL’S.

Developer Response ,

Hi, thanks for your feedback.😊😊 We're glad to hear that you find Checkmath amazing but sorry to know that you're having issues with IXL🥲🥲. We're always working to support more platforms and improve the overall user experience. While we cannot promise immediate changes, know that your feedback is crucial to us and will be taken into consideration as we strive to improve the app. In the meantime, we appreciate your patience and understanding!😽

Better than others 😱😱😱

I love this app for many reasons it not only gives u the answer but it also help guide u through it and also gives u a video so instead of just getting the answer ur learning it. I also like it because it doesn’t pay u like other apps and it’s not super limited so respect to that. In general I really like this app because it helps me through hard question for homework and I’m planning on using this for now on

This Works😱!!!!!Im not even joking I just was doing school work and I was having trouble with at question and i thought🗣️ “Oh I have this app might as well test to see if it works “ And so I just turned in my work and I got that question right!✅!!You should really get this app and it shows the work and has things like a tutor and helps you with essays!!!!And trust me I’m not a robot.

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September 19, 2024

This article has been reviewed according to Science X's editorial process and policies . Editors have highlighted the following attributes while ensuring the content's credibility:

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Study reveals impact of homework on student achievement in math and science

by Maynooth University

Researchers at Maynooth University's Hamilton Institute and Department of Mathematics and Statistics in Ireland have unveiled significant findings on the role of homework in student achievement. The research, led by Prof Andrew Parnell, Nathan McJames and Prof Ann O'Shea, used a new AI model to analyze data from the "Trends in International Mathematics and Science Study" (TIMSS 2019).

Focusing on 4,118 Irish students in their second year of secondary school, the research assessed the impact of varying homework patterns on their mathematics and science performance.

The study titled, "Little and often: Causal inference machine learning demonstrates the benefits of homework for improving achievement in mathematics and science" was published in the journal Learning and Instruction .

It offers new evidence on how homework frequency and duration affect academic performance among Irish secondary school students.

Frequency over duration

The study highlights that the frequency of homework is more important than its duration. Daily homework assignments were found to be most effective for improving mathematics achievement, while science performance benefited most from homework assigned three to four times a week.

Effectiveness of shorter assignments

Short-duration homework tasks, lasting up to 15 minutes, were shown to be just as effective as longer assignments. This suggests that regular, concise homework can promote learning without overwhelming students with excessive work.

Equity in benefits

Contrary to previous research, this study found that all students, regardless of socioeconomic background, experienced similar benefits from homework, indicating equitable advantages across diverse student populations. The researchers advocate for homework policies prioritizing regular, short-duration assignments to optimize student engagement and academic success without causing undue stress.

Nathan McJames, the lead author, commented, "Our study provides strong evidence that regular homework can significantly enhance student performance, especially when given 'little and often'. By avoiding very long homework assignments, this also allows students to balance schoolwork with other important activities outside of school."

Prof Andrew Parnell added, "Our use of advanced causal inference methods ensures the reliability of our findings. This research provides valuable insights that can guide evidence-based policy changes in education, ultimately benefiting students across the board."

Journal information: Learning and Instruction

Provided by Maynooth University

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