UpStudy - Your Best AI Study Buddy

UpStudy - Your
Best AI Study Buddy
UpStudy transforms any questions into easy wins – just snap, learn, and master! As your trusted AI Homework Helper, it offers instant help and personalized guidance, making success just a tap away!
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Why they Choose UpStudy AI

Supercharge Your Learning Journey! Powered by advanced homework helper AI, you'll get easier, smarter studying plus all the support and guidance you need. Let's make it happen with UpStudy!
Homework Helper
Snap a question and let UpStudy help you understand it! Get clear step-by-step solutions that show you the what, why, and how of every problem. Learning just clicked! 📸✨
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From checking answers and reminding what’s next  to discovering study materials, UpStudy will track your progress and personalize your learning journey for clear, confident progress. 📚📈 
Test Prep Master
Whether it's SAT, AP, or just midterms, UpStudy got your back! Pick any topic and get custom practice questions with detailed explanations. You'll ace that test in no time.  🎯🚀
24/7 AI Buddy
Get instant professional help with tough problems and a supportive friend when stress hits. From homework solutions to friendly chats, UpStudy is  here to make your learning journey brighter! 🌟💭
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Join thousands of smart learners worldwide as we transform education together. Study smarter, share wins, and be part of the AI learning revolution!

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It is one of the best study apps that I have ever known, for me it has been very easy to pass exams and workshops that the teacher gives us. Furthermore, this is not like those other apps that only give you the answer, it gives you the explanation and everything now I can understand many of the math things that I didn't understand before, for me that is highly recommended.
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efrom bs
My daughter was struggling with math, but when we heard about this app we downloaded it immediately, and now we’ve seen 2 As on her tests in a row! This app has very good results and different ways to solve a problem. I would definitely recommend for those who need math help.
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VashoB
Whoever created this app, thank you so much. I’ve been struggling school and math and this helped me so much to get me back on my good habits of studying even notice is doing for me. Also shows me step-by-step and what I would’ve had to done to get the answer which helps me solve problems. This app has been extremely useful to me and I will recommend this to all my friends. Thank you so much sincerely me.
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Thomas
I would like to express my heartfelt gratitude to the Study App for being a constant companion and guide in my academic journey. This incredible tool has made learning so much easier and more enjoyable, with its interactive features, personalized lessons, and access to a vast library of resources. The Study App has helped me stay organized, focused, and motivated, and I've seen a significant improvement in my grades and understanding.
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Nnenne
It is one of the best study apps that I have ever known, for me it has been very easy to pass exams and workshops that the teacher gives us. Furthermore, this is not like those other apps that only give you the answer, it gives you the explanation and everything now I can understand many of the math things that I didn't understand before, for me that is highly recommended.
rating user head
efrom bs
My daughter was struggling with math, but when we heard about this app we downloaded it immediately, and now we’ve seen 2 As on her tests in a row! This app has very good results and different ways to solve a problem. I would definitely recommend for those who need math help.
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VashoB
  • "What was your biggest study frustration before? "
  • " What made you try UpStudy? Remember that first 'aha!' moment using our app? "
  • " How would you describe UpStudy to a friend who's struggling with their studies? "
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UpStudy has been a total lifesaver for me this semester. I was pretty nervous about Calculus I since math wasn't my strongest subject in high school, but UpStudy has basically become my go-to study buddy.
Jason, College, United States
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Math is my biggest weakness. The signs and the numbers are just too confusing for me, especially when there's a four-digit number or more. And I also have anxiety when I raise my hand, and I am afraid that if I say a solution that might be wrong, I'll be humiliated in front of the whole class. That's so embarrassing.
Abigael, High School, Switzerland
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Like that time when I was already 2 hours doing my homework and nothing was working for me to understand what was going on.
Sarah, High School, Brazil
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Like last week, I was completely lost on implicit differentiation during class, but I went back to my dorm and used UpStudy, scanned my problems, did their practice problems, and it finally clicked. The best part is I can get the most detailed explanation and guidance!!
Jason, College, United States
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My "aha!" Clicked in when UpStudy helped me with my Physics Homework even though I'm in newbie and I just got UpStudy I still think that I will use it or at least the next 20 years 🫣😂📚
Abigael, High School, Switzerland
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When I was so lost in my math homework, I was trying already 2 hours to be focused but I wasn't getting it at all! And so I tried the app, I wasn't expecting to understand everything at once, but with the AI tutor's help I did it!!
Sarah, High School, Brazil
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I'm pretty sure there are a bunch of other freshmen in my class using UpStudy too. It's honestly kind of amazing that such a helpful app. Makes me feel a lot more confident about taking Calc II next semester.
Jason, College, United States
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UpStudy is a great app to help you with your studies, especially if you're struggling. I used to practice hours and hours, and I still got a bad grade. But ever since I got UpStudy, I only have to learn 1 hour a day for any test or pop quizzes, and boom! I score well on every test! You should definitely try it out!
Abigael, High School, Switzerland
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UpStudy is such a great app, especially If you are a self-taught person the AI tutor can do so much for you and your apprenticeship.
Sarah, High School, Brazil
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FAQs about UpStudy Your AI Homework Companion Explained

How Does AI Help with Homework?

Artificial Intelligence (AI) has transformed how students approach their studies by offering customized and efficient assistance. Below is how AI enhances homework experience:


  • Personalized Learning: AI can detect individual learning patterns to provide customized explanations and resources tailored specifically to student needs, guaranteeing they receive support that best fits them.
  • Instant Feedback: AI's instant solutions and explanations help students more quickly comprehend mistakes and grasp concepts, leading to ongoing learning.
  • 24/7 Accessibility: AI-powered tools offer 24/7 tutoring support, giving students the freedom to seek assistance whenever needed without being limited by traditional tutoring schedules.
  • Engaging Learning Methods: AI makes learning more engaging by offering interactive problem-solving and adaptive quizzes that engage students more and help them retain information more efficiently.

By leveraging these capabilities, AI serves as a trustworthy homework assistant that enables students to achieve academic excellence.

What Makes UpStudy the Best AI Homework Helper?

UpStudy stands out as an exceptional artificial intelligence homework helper by way of several key features:


  • Proprietary AI Model: UpStudy stands out from generic solutions by employing its own artificial intelligence model trained on millions of real homework questions submitted from students worldwide - providing highly accurate, contextually relevant assistance.
  • Advanced Math Engine: UpStudy's advanced math engine overcomes common AI shortfalls by providing accurate calculations and solutions, eliminating errors found on other platforms.
  • Comprehensive Subject Coverage: UpStudy goes far beyond mathematics to offer support across various disciplines and subject areas, making it a truly versatile solution capable of answering queries across any subject area.
  • Holistic Learning Features: UpStudy provides users with daily challenges, trending questions, popular quizzes and concept learning modules designed to support an immersive learning journey beyond classroom walls.
  • Expert Tutor Support: UpStudy goes beyond AI by providing real tutors to assist with homework 24/7 - giving students personalized and immediate help when needed.

These features collectively position UpStudy as a leading AI homework helper, offering a blend of technological innovation and human expertise to enhance the learning experience.

Is UpStudy AI Free?

Yes, UpStudy is a free AI homework helper. Students can access UpStudy through multiple platforms:


  • iOS App: Available for download on the App Store, providing seamless access on iPhones and iPads.
  • Android App: Accessible via the Google Play Store, ensuring compatibility with a wide range of Android devices.
  • Chrome Extension: For those who prefer desktop assistance, UpStudy offers a Chrome extension that integrates directly into your browser for convenient use.

By offering these platforms, UpStudy ensures that students can utilize its AI-powered homework assistance anytime, anywhere, without any cost.

Daily Study Tips & Tricks

Discover fresh study hacks, subject deep dives, and expert tips daily! From test-taking strategies to success stories, UpStudy is sharing everything you need to boost your academic success.
All subjects
All Levels, All Success
From basic algebra to advanced calculus, literature to chemistry, elementary school to college – UpStudy's AI homework help covers it all. Here, no question too simple, no topic too complex.
How did the study of the photoelectric effect lead to a better understanding of the dual nature of light?
Physics
On a map, 1 inch represents 5 miles. If a certain state is represented on a map by a rectangle 10 inches by 7.2 inches, what is the area of the state in square miles? A) \( 360 \mathrm{mi}^{2} \) B) \( 720 \mathrm{mi}^{2} \) C) \( 1,080 \mathrm{mi}^{2} \) D) \( 1,800 \mathrm{mi}^{2} \)
Geometry
20. A high school football team played 12 games in a season. If they won 75 percent of their games, how many games did they lose? (A) 3 (B) 4 (C) 6 (D) 9 (E) 10
Arithmetic
On a map, 1 inch represents 5 miles. If a certain state is represented on a map by a rectangle 10 inches by 7.2 inches, what is the area of the state in square miles? A) \( 360 \mathrm{mi}^{2} \) B) \( 720 \mathrm{mi}^{2} \) C) \( 1,080 \mathrm{mi}^{2} \) D) \( 1,800 \mathrm{mi}^{2} \)
Geometry
On a map, 1 inch represents 5 miles. If a certain state is represented on a map by a rectangle 10 inches by 7.2 inches, what is the area of the state in square miles? A) \( 360 \mathrm{mi}^{2} \) B) \( 720 \mathrm{mi}^{2} \) C) \( 1,080 \mathrm{mi}^{2} \) D) \( 1,800 \mathrm{mi}^{2} \)
Geometry
The ratio of \( 1 \frac{3}{4} \) to \( 2 \frac{1}{2} \) is equal to the ratio of 14 to what number? A) 18 B) 20 C) 22 D) 24
Arithmetic
ABC is an equilateral triangle, having a side length of 4 cm . Knowing that forces of magnitudes \( 150 \mathrm{~N}, 400 \mathrm{~N} \), and 50 N are acting as shown in the figure, determine the sum of the moments of these forces about the point of intersection of the triangle's medians, rounded to two decimal places. \( \begin{array}{lll}\text { (a) } 692.82 \mathrm{~N} . \mathrm{cm} & \text { (b) } 653.4 \mathrm{N.cm} \\ \text { (c) } 700 \mathrm{N.cm} & \text { (d) } 721.8 \mathrm{N.cm}\end{array} \)
Physics
Jose is ordering shirts from Tommy's Shirts. They charge \( \$ 5 \) per shirt with no set up fee. Write an equation to represent the total cost of the order.
Algebra
ar memiliki aquarium berbentuk kubus. Aquarium berisi air \( 294 \mathrm{dm}^{3} \) Dari ilustrasit dapat dinyatakan bahwa: \( \begin{array}{ll}\text { 1) Luas alas aquarium ada } 343 \mathrm{dm}^{2}\end{array} \) 2) Luas kaca untuk membuat aquarium ada \( 245 \mathrm{dm}^{2} \) 2) Luas kaca untuk membuat aquarium ada \( 294 \mathrm{dm}^{2} \) 3)
Geometry
Write down the next two terms for each geometric sequence. a \( 2 ; 4 ; 8 ; 16 ; \ldots \) b \( 5 ; 15 ; 45 ; \ldots \) c \( 3 ; 6 ; 12 ; 24 ; \ldots \) d \( 18 ; 6 ; 2 ; \ldots \) e \( 20 ; 10 ; 5 ; \ldots \) f \( 4 ;-12 ; 36 ; \ldots \) g \( 7 ;-14 ; 28 ; \ldots \) h \( 8 ; 4 ; 2 ; \ldots \) i \( \frac{1}{9} ; \frac{1}{3} ; 1 ; \ldots \) j \( 500(1,25) ; 500(1,25)^{2} ; 500(1,25)^{3} ; \ldots \) k \( 1000(1,8) ; 1000(1,8)^{2} ; 1000(1,8)^{3} ; \ldots \) i \( 6000(1,1) ; 6000(1,1)^{2} ; 6000(1,1)^{3} ; \ldots \) m \( 400\left(1+\frac{0,09}{12}\right) ; 400\left(1+\frac{0,09}{12}\right)^{2} ; 400\left(1+\frac{0,09}{12}\right)^{3} ; \ldots \) n \( 300\left(1+\frac{0,1125}{4}\right) ; 300\left(1+\frac{0,1125}{4}\right)^{2} ; 300\left(1+\frac{0,1125}{4}\right)^{3} ; \ldots \) o \( x\left(1+\frac{0,092}{2}\right) ; x\left(1+\frac{0,092}{2}\right)^{2} ; x\left(1+\frac{0,092}{2}\right)^{3} ; \ldots \) 2 Find the first three terms for each geometric sequence. a \( \mathrm{T}_{1}=2 \) and \( r=3 \) b \( \mathrm{T}_{1}=4 \) and \( r=\frac{1}{2} \) c \( \mathrm{T}_{1}=12 \) and \( r=\frac{-1}{3} \) d \( T_{1}=500 \) and \( r=1,1 \) e. \( \mathrm{T}_{1}=8000 \) and \( r=\left(1+\frac{0,09}{4}\right) \) f \( T_{1}=3 \) and \( T_{6}=96 \) g \( \quad T_{1}=7 \) and \( T_{5}=\frac{7}{81} \) h \( T_{2}=6 \) and \( T_{7}=192 \) \( T_{3}=18 \) and \( T_{5}=162 \) -d \( T_{3}=16 \) and \( T_{7}=256 \) k \( T_{2}=10 \) and \( T_{5}=80 \) I \( T_{2}=3 \) and \( T_{6}=\frac{1}{27} \) Determine: a which term is equal to 1280 in the sequence \( 5 ; 10 ; 20 ; \ldots \) b which term is equal to 1536 in the sequence \( 3 ; 6 ; 12 ; \ldots \) c which term is equal to 6561 in the sequence \( 3 ; 9 ; 27 ; \ldots \) d which term is equal to \( \frac{5}{16384} \) in the sequence \( \frac{5}{4} ; \frac{5}{8} ; \frac{5}{16} ; \ldots \) e which term is equal to \( \frac{1}{8192} \) in the sequence \( 16 ; 8 ; 4 ; \ldots \)
Pre Algebra
อินเทอร์เนทมีรายได้มากที่สุด คิดเป็น \( 32 \% \) รองลงมาคือบริษัทจัสทีน โดยมีรายได้ต่ำกว่าบริษัทอินเทอร์เนท \( 15 \% \) ส่วนบริษัทสยามเนทและบริษัทสมายเนมีเปอร็เซ็นติของรายได้เท่ากัน คือ \( 10 \% \) นอกนั้นเป็นของบริษัท เทเลเทคไนท (10 คะแนน) ก) จากข้อมูลข้างต้น จงนำเสนอข้อมูลในรูปของแผนภูมิแท่ง ข) จากข้อมูลข้างต้น จงนำเสนอข้อมูลในรูปของแผนภูมิวงกลม
Statistics
ง) จงหามัธยฐาน 2. รายได้จากการขายและบริการในปี 2566 ของบริษัทย่อยในเครือบริษัท เอสทีเอที (stat) จำกัด พบว่าบริษัท อินเทอร์เนทมีรายได้มากที่สุด คิดเป็น \( 32 \% \) รองลงมาคือบริษัทจัสทีน โดยมีรายได้ต่ำกว่าบริษัทอินเทอร์เนท \( 15 \% \) ส่วนบริษัทสยามเนทและบริษัทสมายเนมีเปอร์เซ็นต์ของรายได้เท่ากัน คือ \( 10 \% \) นอกนั้นเป็นของบริษัท เทเลเทคไนท์ (10 คะแนน) ก) จากข้อมูลข้างต้น จงนำเสนอข้อมูลในรูปของแผนภูมิแท่ง ข) จากข้อมูลข้างต้น จงนำเสนอข้อมูลในรูปของแผนภูมิวงกลม 3. พิจารณาตารางแจกแจงความถี่ของข้อมูลต่อไปนี้ (10 คะแนน) ชั้นที่
Statistics
Lse an appropriate method of ifferentiation determine ne following \[ f(x)=\cos (\sqrt{\sin (\tan \pi x)}) \]
Calculus
19. Maria paid \( \$ 24.65 \) for her meal at a restaurant. If that price included a tax of 8.25 percent, what was the price of the meal before tax? (A) \( \$ 22.61 \) (B) \( \$ 22.68 \) (C) \( \$ 22.77 \) (D) \( \$ 22.82 \) (E) \( \$ 22.93 \)
Arithmetic
given that \( 4(y-2)^{2}=k(y-1) \), where k is a constant. (i) Show hat the sum of the roots equals their product. (ii) Find the value for which the difference between the roots is \( 33 / 4 \)
Algebra
18. In the fall, 425 students pass the math benchmark. In the spring, 680 students pass the same benchmark. What is the percentage increase in passing scores from fall to spring? (A) \( 37.5 \% \) (B) \( 55 \% \) (C) \( 60 \% \) (D) \( 62.5 \% \) (E) \( 80 \% \)
Arithmetic
5. At what point does the graph of \( 4 x-6 y=-1 \) intersect the \( x \)-axis? (A) 4 (B) 6 (C) \( \frac{2}{3} \) (D) \( \frac{1}{6} \) (E) \( -\frac{1}{4} \) 6. If \( 4 x^{3}=-64 \), then \( x= \) (A) -1 (B) 1 (C) \( -2 \sqrt[3]{2} \) (D) \( 2 \sqrt[3]{2} \) (E) 4 7. If the fourth root of the square of a number is 2 , then what is the number? (A) 2 (B) 4 (C) 8 (D) 16 (E) 32 8. If a line is perpendicular to the line \( 2 x+6 y=18 \), what is its slope? (A) \( -\frac{1}{3} \) (B) \( \frac{1}{3} \) (C) -3
Algebra
5. At what point does the graph of \( 4 x-6 y=-1 \) intersect the \( x \)-axis? (A) 4 (B) 6 (C) \( \frac{2}{3} \) (D) \( \frac{1}{6} \) (E) \( -\frac{1}{4} \) 6. If \( 4 x^{3}=-64 \), then \( x= \) (A) -1 (B) 1 (C) \( -2 \sqrt[3]{2} \) (D) \( 2 \sqrt[3]{2} \) (E) 4
Algebra
2. รายได้จากการขายและบริการในปี 2566 ของบริษัทย่อยในเครือบริษัท เอสทีเอที (stat) จำกัด พบว่าบริษัท อินเทอร์เนทมีรายได้มากที่สุด คิดเป็น \( 32 \% \) รองลงมาคือบริษัทจัสทีน โดยมีรายได้ต่ำกว่าบริษัทอินเทอร์เนท \( 15 \% \) ส่วนบริษัทสยามเนทและบริษัทสมายเนมีเปอร์เซ็นต่ของรายได้เท่ากัน คือ \( 10 \% \) นอกนั้นเป็นของบริษัท เทเลเทคไนท์ (10 คะแนน) ก) จากข้อมูลข้างต้น จงนำเสนอข้อมูลในรูปของแผนภูมิแท่ง ข) จากข้อมูลข้างต้น จงนำเสนอข้อมูลในรูปของแผนภูมิวงกลม
Statistics
.4 Calculate the magnitude of the normal force. .5 Calculate the coefficient of kinetic friction.
Physics
State Newton's First Law of Motion in words.
Physics
Identify the expression e \( \log _{2} 128 \) \( \log _{4} 128 \) \( \log _{16} 128 \) \( \log _{128} 16 \)
Pre Algebra
If The matrix \( x=\left(\begin{array}{ll}1 & 2 \\ 3 & 4\end{array}\right) \) and \( y=\left(\begin{array}{ll}4 & 2 \\ 1 & 3\end{array}\right. \) find \( 4 x-3 y \)
Algebra
87. Calcola le misure di \( A B \) e \( C D \) sapendo che \( A B-C D=34 \mathrm{~m} \mathrm{e} A B=6 \times C D \cdot[40,8 \mathrm{~m} ; 6,8 \mathrm{~m}] \)
Algebra
If \( \alpha, \beta \) are the roots of the equation \( 2 x^{2}+6 x-10=0 \). Find \( \alpha^{4}+\beta^{4} \) (b) \( \alpha^{3}+\beta^{3} \) (c) \( \alpha^{6}+\beta^{6} \) (d) \( \alpha^{6}-\beta^{6} \)
Algebra
(ii) Complete the following sentences. 84 g of sodium hydrogencarbonate produces ................ g of sodium carbonate and ............... g of water. 4.2 g of sodium hydrogencarbonate produces ................. g of sodium carbonate.
Chemistry
8. คะแนนสอบวิชาสถิติของนักศึกษาวิทยาลัยเทคโนโลยีพนมวันท์กลุ่มหนึ่งมีทั้งหมด 20 คน ปรากฎผลดงน (10 คะแนน) \[ \begin{array}{lllllllllllllll}18 & 20 & 13 & 12 & 16 & 14 & 25 & 23 & 18 & 22 & 11 & 12 & 13 & 15 & 22 \\ \text { ก) จงหาค่าความแปรปรวน } \\ \text { ข) จงหาค่าส่วนเบี่ยงเบนมาตรฐาน } \\ \text { ค) จงหาค่าสัมประสิทธิ์การแปรผัน } \\ \text { ง) จงหาค่าพิสัยระหว่างควอไทล์ }\end{array} \] 9. คะแนนสอบวิชาสถิติของนักศึกมีค่าเฉลี่ยเท่ากับ 18 และมีค่าสัมประสิทธิ์การแปรผันเท่ากับ 16 คะแนน
Statistics
\( 4 ( x ^ { 2 } - 2 x ) + ( y ^ { 2 } + 4 y ) = 8 \)
Algebra
9. Fie \( P: V \rightarrow V \) un operator liniar cu proprietatea \( P^{2}=P \), unde \( V \) este un spaţiu cu produs scalar. Să se arate că \( P \) este autoadjunct dacă şi numai dacă \( \operatorname{Ker}(P) \) şi \( \operatorname{Im}(P) \) sunt subspatii ortogonale (caz în care \( P \) se numeşte proiector ortogonal). (OBSERVATIE: Un "proiector ortogonal" nu este operator ortogonal. Operatorul din exerciţiul 7 este un exemplu de proiector ortogonal.)
Other
: How might static electricity damage a computer's motherboard?
Computer Technology
9. \( 3 x^{2}(x+2)-16 x(x+2)+5(x+2) \)
Algebra
\( \begin{array}{l}\text { When sodium hydrogencarbonate is heated, it decomposes to produce sodium carbonate, water } \\ \text { and carbon dioxide. } \\ \text { The equation for the reaction is } \\ \left.\text { [ } \mathrm{A}_{\mathrm{r}}: \mathrm{H}, 1 ; \mathrm{C}, 12 ; \mathrm{O}, 16 ; \mathrm{Na}_{3} 23\right] \\ \text { The relative molecular mass of sodium hydrogencarbonate is } 84 . \\ \text { (a) (i) Calculate the relative molecular mass of sodium carbonate. } \\ \text { (ii) Complete the following sentences. } \\ \text { (i) } \\ 4.2 \mathrm{~g} \text {. } \mathrm{CO} \\ 3\end{array}+\mathrm{CO}_{2}+\mathrm{H}_{2} \mathrm{O} \).
Chemistry
17. If a plane travels 2775 miles in 3 hours, how far will it travel in 5 hours? (A) 1665 miles (B) 3475 miles (C) 4625 miles (D) 5550 miles (E) 13,875 miles
Arithmetic
8. Fie \( A: \mathbf{R}^{3} \rightarrow \mathbf{R}^{3}, A(x)=\left(\frac{1}{2} x_{1}+\frac{\sqrt{3}}{2} x_{3}, x_{2},-\frac{\sqrt{3}}{2} x_{1}+\frac{1}{2} x_{3}\right) \) pentru orice \( x=\left(x_{1}, x_{2}, x_{3}\right) \in \) \( \mathbf{R}^{3} \). Să se afle adjunctul lui \( A \) şi să se verifice că \( A \) este operator ortogonal. Este \( A \) autoad- junct?
Other
16. Micah has invited 23 friends to his house and is having pizza for dinner. If each pizza feeds 4 people, how many pizzas should he order? (A) 4 (B) 5 (C) 6 (D) 7 (E) 8
Arithmetic
What is the additive inverse of 157 ? Answer:
Arithmetic
7. Fie \( P: \mathbf{R}^{3} \rightarrow \mathbf{R}^{3}, P(x)=\left(\frac{1}{2} x_{1}+\frac{1}{2} x_{2}, \frac{1}{2} x_{1}+\frac{1}{2} x_{2}, x_{3}\right) \) pentru orice \( x=\left(x_{1}, x_{2}, x_{3}\right) \in \mathbf{R}^{3} \). Să se verifice că \( P \) este operator autoadjunct şi nu este operator ortogonal (pe \( \mathbf{R}^{3} \) se consideră produsul scalar uzual).
Other
What is the smallest integer greater than \( -4 ? \)
Arithmetic
If \( \vec{F}=2 i+3 j \) acts at point \( C \) and \( \overline{A B}=4 i+6 j \) and \( \overline{M_{A}}=\left(m^{2}+4\right) k, \overline{M_{B}}= \) \( (4 m) k \), then \( m=\cdots \cdots \) \( \begin{array}{llll}\text { (a) } 3 & \text { (b) } 2 & \text { (c) } 4 & \text { (d) } 1\end{array} \)
Physics
În \( \mathbf{R}^{4} \) se consideră baza \( F=\left\{f_{1}=(1,-1,0,0), f_{2}=(1,1,0,0), f_{3}=(0,0,1,1), f_{4}=(0,0,-1,1)\right\} \). Să se determine duala bazei \( F \) şi coordonatele vectorului \( w=(0,-2,5,-1) \) în raport cu baza \( F \).
Other
By how much is 72 greater than -8 ? Answer:
Arithmetic
Задание 5 группы: Трапеция \( \mathrm{ABCD}, \mathrm{AD} \) и BC основания, \( \mathrm{AD} \mathrm{\epsilon} \mathrm{\alpha} \), \( \mathrm{BK} \perp_{\alpha} \), B, Сє Построить линейный угол двугранного угла BADK
Geometry
În \( \mathbf{R}^{4} \) se consideră baza \( F=\left\{f_{1}=(1,-1,0,0), f_{2}=(1,1,0,0), f_{3}=(0,0,1,1), f_{4}=\right. \) \( (0,0,-1,1)\} \). Să se determine duala bazei \( F \) şi coordonatele vectorului \( w=(0,-2,5,-1) \) în raport cu baza \( F \). Să se determine vectorul \( u \in \mathbf{R}^{4} \) ale cărui coordonate în raport cu baza \( F \) sunt \( u^{1}=1, u^{2}=5, u^{3}=-2, u^{4}=-3 \). \( \quad \) Să se arate că aplicaţia \( g: \mathbf{R}^{4} \rightarrow \mathbf{R} \) definită prin \( g(x)=x^{1}-3 x^{2}-x^{4} \) pentru orice \( x=\left(x^{1}, x^{2}, x^{3}, x^{4}\right) \in \mathbf{R}^{4} \) este liniară şi să se determine coordonatele lui \( g \) în raport cu baza \( F \). Să se determine forma liniară \( h: \mathbf{R}^{4} \rightarrow \mathbf{R} \) ale cărei coordonate în raport cu baza \( F \) sunt \( 5,1,-2 \) şi respectiv 4 . Să se definească tensorul \( g \otimes w \), precizând tipul şi coordonatele sale în raport cu baza \( F \). Să se calculeze tensorul obţinut prin contracţie din \( g \otimes w \).
Other
ve the correct blological term for each of the following descriptions. Write or term next to the question number (1.2.1 to 1.2.4) in the ANSWER BOOK. 2.1 Blood vessel that transports oxygenated blood away from the heart .2 The organelle responsible for cellular respiration .3 Cells that make up the nerve tissue .4 Green pigment in chloroplasts that is responsible for photosynthesis \( (4 \times 1) \)
Biology
În \( \mathbf{R}^{4} \) se consideră baza \( F=\left\{f_{1}=(1,-1,0,0), f_{2}=(1,1,0,0), f_{3}=(0,0,1,1), f_{4}=\right. \) \( (0,0,-1,1)\} \). Să se determine duala bazei \( F \) şi coordonatele vectorului \( w=(0,-2,5,-1) \) în raport cu baza \( F \). Să se determine vectorul \( u \in \mathbf{R}^{4} \) ale cărui coordonate în raport cu baza \( F \) sunt \( u^{1}=1, u^{2}=5, u^{3}=-2, u^{4}=-3 \). \( \quad \) Să se arate că aplicaţia \( g: \mathbf{R}^{4} \rightarrow \mathbf{R} \) definită prin \( g(x)=x^{1}-3 x^{2}-x^{4} \) pentru orice \( x=\left(x^{1}, x^{2}, x^{3}, x^{4}\right) \in \mathbf{R}^{4} \) este liniară şi să se determine coordonatele lui \( g \) în raport cu baza \( F \). Să se determine forma liniară \( h: \mathbf{R}^{4} \rightarrow \mathbf{R} \) ale cărei coordonate în raport cu baza \( F \) sunt \( 5,1,-2 \) şi respectiv 4 . Să se definească tensorul \( g \otimes w \), precizând tipul şi coordonatele sale în raport cu baza \( F \). Să se calculeze tensorul obţinut prin contracţie din \( g \otimes w \).
Other
Să se arate că aplicaţia \( g: \mathbf{R}^{4} \rightarrow \mathbf{R} \) definită prin \( g(x)=x^{1}-3 x^{2}-x^{4} \) pentru orice \( x=\left(x^{1}, x^{2}, x^{3}, x^{4}\right) \in \mathbf{R}^{4} \) este liniară şi să se determine coordonatele lui \( g \) în raport cu baza \( F \).
Algebra
Question Not yet nswered 1arked out of 00 True or False: On a number line, the further to the right a number is, the amaller its value. Select one: True False
Pre Algebra
În \( \mathbf{R}^{4} \) se consideră baza \( F=\left\{f_{1}=(1,-1,0,0), f_{2}=(1,1,0,0), f_{3}=(0,0,1,1), f_{4}=(0,0,-1,1)\right\} \). Să se determine duala bazei \( F \) şi coordonatele vectorului \( w=(0,-2,5,-1) \) în raport cu baza \( F \).
Other
7. ข้อมูลต่อไปนี้เป็นคะแนนสอบของนักศึกษา วิชา สถิติพื้นฐานทั้ง 2 ห้อง ( 10 คะแนน) ห้องที่ 1: \( 1 \begin{array}{llllllllll}19.95 & 19.98 & 19.90 & 20.04 & 19.82 & 19.98 & 19.20 & 19.89\end{array} \) ห้องที่ \( 2: \begin{array}{llllllll}20.28 & 20.12 & 20.02 & 20.18 & 20.46 & 20.22 & 20.10 & 21.00\end{array} \) จงเปรียบเทียบค่าแปรปรวนของคะแนนสอบของนักศึกษา ทั้ง 2 ห้อง 8. คะแนนสอบวิชาสถิติของนักศึกษาวิทยาลัยเทคโนโลยีพนมวันท์กลุ่มหนึ่งมีทั้งหมด 20 คน ปรากฏผลดังนี้
Statistics
Question 5 Why are healthy individual finances important to the economy in North America?
Economics
Question 4 What are some of the ways in which the government is involved in the economy? What are the advantages and disadvantages of governmental involvement?
Economics
Before the electron transfer, sodium has electron in its outer shell, chlorine has
Chemistry
Question 3 How do global factors influence the economy in your country?
Economics
Calculate: \( 12+5+(-8) \)
Arithmetic
Question 2 What are some of the advantages and disadvantages to a market economy?
Economics
9. Given the sequence: \( 1 ; \sin 45^{\circ} ; \frac{1}{2} ; \ldots \) a Write down the next two terms if the pattern continue b Find the \( n \)th term.
Trigonometry
Question 1 How do your financial choices impact the economy? Trace the impact of your financial decisions.
Economics
By how much is -5 greater than \( -23 ? \)
Arithmetic
Question 1 How do your financial choices impact the economy? Trace the impact of your financial decisions. Question 2 What are some of the advantages and disadvantages to a market economy? Question 3 How do global factors influence the economy in your country? Question 4 What are some of the ways in which the government is involved in the economy? What are the advantages and disadvantages of governmental involvement? Question 5 Why are healthy individual finances important to the economy in North America?
Economics
Round off 41463 to the nearest 100 .
Arithmetic
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