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. 📚📈 
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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.  🎯🚀
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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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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.
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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
  • "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!
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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.
Answer two questions about Equations \( A \) and \( B \). A. \( \quad 4 x+2=6-x \) B. \( \quad 5 x+2=6 \) 1) How can we get Equation \( B \) from Equation \( A \) ? Choose 1 answer: (A) Add/subtract a quantity to/from only ofle side (B) Add/subtract the same quantity to/from both sides (C) Multiply/divide only one side by a non-zero constant (D) Multiply/divide both sides by the same non-zero constant
Algebra
Assume all \( \log a r i t h m s \) (logs) are in base 10 in this section. 1. Using \( \log 2=0,301 \) and \( \log 3=0,477 \), find: \( \begin{array}{lll}\text { a) } \log 4 & \text { b) } \log 9 & \text { c) } \log 8 \\ \text { d) } \log 27 & \text { e) } \log 12 & \text { f) } \log 18\end{array} \)
Pre Algebra
Compiled by: Nyamasoka Hardwork LOGA \( \begin{array}{l}\text { Lt is given that } \log x=6 \text { and } \log y=-2 . \\ \text { Evaluate } \quad \text { (a) } \log (x y) \\ \quad \text { (b) } \log \left(\frac{1}{\sqrt{x}}\right) \\ \begin{array}{l}\text { 4004/1 J2020 Q21 }\end{array}\end{array} \)
Algebra
Simultaneous Equations- GW (2) A shop sells xylophones and yo-yos. 2 xylophones and 3 yo-yos cost \( \$ 13 \). 1 xylophone and 1 yo-yo cost \( \$ 6 \). How much do they each cost?
Algebra
Solutions to Exercise 5 are on page 248 Addition, Subtraction, Multiplication and Division of Fractions (Theory on puges 3 Exercise 6: Simplify the following (you can assume that denominators are non-zero): a) \( \frac{5}{4 x+12} \div \frac{3}{2 x+6} \) i) \( \frac{2}{3(x-5)}-\frac{1}{x(5-x)} \) b) \( \frac{4 x^{3}}{5} \times \frac{1}{12 x^{4}-4 x^{3}} \) j) \( \frac{a+2}{2(a-6)}+\frac{a+6}{3(6-a)} \) c) \( \frac{p^{2}+p q}{q^{2}} \div \frac{p}{q} \) k) \( \frac{p-5}{5(p-2)}-\frac{p+1}{p(2-p)} \) d) \( \frac{x^{2}-2 x y}{x^{2} y} \div \frac{x^{2} y-4 y^{3}}{3 x y^{2}} \) 1) \( \frac{1}{x-y}-\frac{1}{x} \) e) \( \frac{6 a^{2}}{3 a^{2}-24 a+48} \times \frac{a^{2}-4 a}{a^{3}} \) m) \( \frac{x+y}{x y}-\frac{2}{x+y} \) \( U_{0} \frac{x^{2}-36}{x^{2}-7 x}: \frac{x^{2}+4 x-12}{x^{2}-9 x+14} \) n) \( \frac{p}{p-1}-\frac{1}{4 p-4} \)
Algebra
\begin{tabular}{l} Factor: \\ \( \begin{array}{l}x^{2}-25 \\ (x-8)(x+8) \\ \text { Factor out the GCF first: } \\ 2 x^{2}-32 \\ x^{2}-100 \\ x^{3}-100 x \\ \text { No GCF but super cool! } \\ 4 x^{2}-25\end{array} \) \\ \hline\end{tabular}
Algebra
एक टुकड़े की कीमत 180 रुपये से बढ़ाकर 216 रुपये कर दी गई। मूल्य में वृद्धि क्या है?
Arithmetic
प्र. 5 आकृतीवरुन \( y \) या कोनाचे माप सांगा. 1) \( 40^{\circ} \) 2) \( 150^{\circ} \) 3) \( 160^{\circ} \) 4) \( 140^{\circ} \)
Trigonometry
W. 5. A bag contains 20 oranges of which 6 are bad. Find the probability of picking a good orange from the bag. A. \( \frac{1}{20} \) B. \( \frac{1}{6} \)
Probability
Cement and sand were mixed in the ratio \( 2: 5 \). How many kilograms of cement was contained in the 35 kg of the mixture? A. \( \quad 10 \mathrm{~kg} \)
Arithmetic
16) \( 9 x^{2}+7 x-56 \)
Algebra
16) \( 9 x^{2}+7 x-56 \)
Algebra
14) \( 9 r^{2}-5 r-10 \)
Algebra
The attitudes of Americans toward gambling are amazingly contradictory. You may find, for example, that horse racing is legal in your state, but that you cannot legally play poker for money on your front porch; bookies may be prosecuted by state law, but they are supposed to purchase a federal license nonetheless; one church condemns gambling, while another raises money by sponsoring Bingo games. Gambling laws are inconsistent from state to state or even from town to town and are very difficult to enforce. a. Americans have negative attitudes toward gambling. b. Gambling laws are difficult to enforce. c. Gambling laws are inconsistent from community to comminnity. d. Churches do not have uniform ideas about gambling.
Social Sciences
1.4.4 Quiz: Aquatic Ecosystems Question 7 of 10 Water has a high specific heat. What effect does this have on aquatic ecosystems? A. They can absorb a lot of energy while keeping a stable temperature. B. They all have the same temperature. C. They can easily become too warm. D. They all have the same thermal stratifications.
Biology
A. Rewrite and simplify the given rational form into radical form and vice versa. \( \begin{array}{ll}\text { (5pts) } \\ \text { 7. } 100^{\frac{1}{2}}= \\ \text { 2. } 125^{\frac{1}{3}}= \\ \text { 3. }\left(121 r^{2} s^{2}\right)^{\frac{1}{2}}= \\ \end{array} \)
Pre Algebra
In earlier days those who had overseas business which they believed should be discussed personally, took ship and set out across the briny deep. Once aboard they transacted their affairs, engaging in commercial and social matters or conducting government business. Today ships and passengers continue to sail the seven seas, and airplanes soar overhead. But above them all, words speed through the sky - telephone conversations quickly bring together in the most personal fashion people who are separated by thousands of miles. a. Overseas telephone service today is ruling out all need for overseas travel. b. Nothing can take the place of person-to-person conversation in settling business, social, and government problems. c. Many conversations which once required overseas travel can now be conducted by telephone.
English
15) \( 9 p^{2} r+73 p r+70 r \)
Algebra
Activity: 6 1. State which devices use the following operating systems. No. 1 has been done for you as an example: a) Windows - for Desktop PCS and Laptops b) Linux - c) MacOS - d) IOS - e) Android - f) Blackberry OS - 2. Name 5 examples of application software built into the operating system. Example: Calculator.
Computer Technology
There is a common belief that while the dog is man's best friend, the coyote is his worst enemy. The bad reputation of the coyote traces back to his fondness for small animals; he hunts at night and is particularly destructive to sheep, young pigs, and poultry. Yet it is sometimes wise to encourage coyotes. Provided valuable farm animals are protected, the coyote will often free the property of other animals, like rabbits, which are ruinous to crops and certain trees. He is especially beneficial in keeping down the rodent population. Where coyotes have been allowed to do their work without molestation, ranchers and fruit growers have found them so valuable that they would no more shoot them than they would shoot their dogs. O a. Under certain conditions the coyote is helpful to man. ob. The coyote is feared because of his fondness for small animals. Ch. Modern ranchers would no sooner shoot coyotes than they would shoot dogs. o d. The coyote usually prefers rabbits and other rodents to sheep and poultry.
Biology
The Louisiana Purchase proved to be one of the shrewdest business pacts in the entire history of the United States. The purchase doubled the area of the country and provided territory from which fourteen new states were created either wholly or in part. It also gave us control over the mouth of the Mississippi River and opened up the way to foreign trade. Prior to the purchase, the waterway had been blocked by the Spanish, probably with the approval of Napoleon. The land that was bough was rich in timber, minerals, and natural resources of many kinds. Finally, the cost of the transaction was unbelievably low; the total of \( \$ 15 \) million amounted to about four cents an acre. a. The Louisiana Purchase was a very good business deal for the U.S. o. The land bought by the Louisiana Purchase was rich in minerals. c. The land bought by the Louisiana Purchase was very cheap. o d. Most Americans were very pleased with the purchase.
History
Written Work Exponential Function Solve for \( x \) using one to one property: 1. \( 4^{x}=256 \) 2. \( 4^{x}=\frac{1}{16} \) 3. \( 3^{x}=81 \) 4. \( 2^{x}=\frac{1}{64} \) 5. \( 27^{x}=\frac{1}{9} \) 6. \( \left(\frac{1}{4}\right)^{x}=4 \) 7. \( 2^{2 x+1}=8 \) 8. \( 5^{1-2 x}=\frac{1}{5} \)
Algebra
प्वाह्याटनः प्र. 1 एका कोनाचा पूरककोन व कोटिकोन यांचे गुणोत्तर \( 5: 2 \) आहे, तर त्या कोनाचे माप किती ? \( \begin{array}{llll}\text { 1) } 20^{\circ} & \text { 2) } 45^{\circ} & \text { 3) } 30^{\circ} & \text { 4) } 60^{\circ}\end{array} \)
Trigonometry
\( \qquad \) 1. Which of the following mathematical statements is CORRECT? A. \( m^{-1}=-m^{\frac{1}{3}} \) B. \( m^{\frac{2}{s}} \cdot m^{\frac{1}{3}}=m^{\frac{2}{2}} \) C. \( m^{\frac{1}{2}}=\sqrt{m} \) D. \( \sqrt{2 m}=2 m \) \( \qquad \) 2. What is the equivalent of \( \sqrt[3]{5}+\sqrt[5]{3} \) A. \( 5^{\frac{1}{3}}+3^{5} \) C. \( 5^{3}+3^{5} \) B. \( 5^{\frac{1}{3}}+3^{\frac{1}{5}} \) D. \( 8^{8} \) \( \qquad \) 3. Simplify the expression \( (2 b)^{-\frac{1}{3}} \) with positive exponent. A. \( \frac{1}{2 b^{\frac{1}{3}}} \) C. \( \frac{1}{2^{\frac{1}{3} b^{\frac{1}{3}}}} \) B. \( 2^{\frac{1}{3}} b^{\frac{1}{3}} \) d. \( 2 b^{\frac{1}{3}} \) 4. Which of the following is the simplified
Algebra
1. Find the simple interest on GH¢ 350.00 for 4 years at \( 5 \% \) per annum. A. GH¢ 35.00 B. GH\& 140.00 C. GH\& 70.00 D. GH¢ 20.00
Arithmetic
Solve \( x \) in the equation. \( \log (x-1)=\log 12-\log (x-2) \)
Algebra
Question 6 of 10 Which change in an abiotic factor is most likely to lead to coral bleaching? A. Increased turbidity B. Decreased sediment C. Increased salinity D. Decreased acidity
Biology
1.4.4 Quiz: Aquatic Ecosystems Question 5 of 10 What is the main source of energy in a shady stream? A. Phytoplankton B. Algal blooms C. Photosynthetic bacteria D. Dead leaves
Biology
\[ \text{Find } 2011^2 - 2010^2 \text{?} \]
Algebra
Question 4 of 10 What kind of water is found in the littoral zone of a lake? A. Clear and shallow B. Warm and cloudy C. Cold and dense D. Cold and salty
Biology
Question 3 of 10 What do chemosynthetic bacteria convert into food? A. Salt or water B. Carbon dioxide or methane C. Oxygen and sugar D. Carbon dioxide and sunlight
Biology
1.4.4 Quiz: Aquatic Ecosystems Question 2 of 10 Which consumers live in the neritic zone? A. Phytoplankton and seaweed B. Swordfish, dolphins, and sharks C. Giant tube worms and bacteria D. Squids, whales, and sea urchins
Biology
13. \( (2 \mathrm{i} \pi+\theta)-(\mathrm{i} \pi+5 \theta) \)
Algebra
15) \( 9 p^{2} r+73 p r+70 r \)
Algebra
13) \( 30 n^{2} b-87 n b+30 b \)
Algebra
The waiting times (in minutes) of a random sample of 22 people at a bank have a sample standard deviation of 3.6 minutes Construct a confidence interval for the population variance \( \sigma^{2} \) and the population standard deviation \( \sigma \). Use a \( 99 \% \) level of confidence. Assume the sample is from a normally distributed population. What is the confidence interval for the population variance \( \sigma^{2} \) ? \( \begin{array}{l}(6.6,33.9 \text { ) (Round to one decimal place as needed.) } \\ \text { Interpret the results. Select the correct choice below and fill in the answer box(es) to complete your choice. } \\ \text { (Round to one decimal place as needed.) } \\ \text { A. With } 99 \% \text { confidence, you can say that the } \\ \text { population variance is greater than } \\ \text { C. With } 1 \% \text { confidence, you can say that the With } 1 \% \text { confidence, you can say that the } \\ \text { population variance is less than } \\ \text { What is the confidence interval for the population variance is between and } \\ \text { 2.64, With } 99 \% \text { confidence, you can say that the } \\ \text { population variance is between } 6.6 \text { and } 33.9 \text {. (Round to one decimal place as needed.) }\end{array} \)
Statistics
13) \( 30 n^{2} b-87 n b+30 b \)
Algebra
9. \( \frac{8 i^{3}}{4 i^{9}} \)
Algebra
12) \( 7 x^{2}-32 x-60 \)
Algebra
Solve \( x \) in the equation \( \log (x-1)=\log 12-\log (x-2) \)
Algebra
3. \( \quad 5 i \times i^{4} \) 6. \( \frac{2}{-3 i} \)
Algebra
The waiting times (in minutes) of a random sample of 22 people at a bank have a sample standard deviation of 3.6 minutes. Construct a confidence interval for the population variance \( \sigma^{2} \) and the population standard deviation \( \sigma \). Use a \( 99 \% \) level of confidence. Assume the sample is from a normally distributed population. What is the confidence interval for the
Statistics
Let \( f(x)=5 x+3 \) and \( g(x)=3 x^{2}+4 x \) After simplifying, \( (f \circ g)(x)= \)
Algebra
2. Simplify the following fractions (assume all denominators are non-zero): \( \begin{array}{ll}\text { a) } \frac{x^{2}-y^{2}}{3} \times \frac{6 x-3 y}{x^{3}+y^{3}} & \text { b) } \frac{2 x^{3}-16 y^{3}}{4 x+8 y} \times \frac{x^{2}-4 y^{2}}{x^{2}+2 x y+4 y^{2}} \\ \text { c) } \frac{x^{2}+5 x+6}{2 x+4} \times \frac{x-3}{x^{2}-9} & \text { d) } \frac{x^{2}+3 x-4}{x^{3}+64 y^{3}} \div \frac{x^{2}-1}{x^{2}-4 x y+16 y^{2}} \\ \text { e) } \frac{x^{2}+4 x-45}{x^{2}-25} \div \frac{x^{2}-5 x+25}{x^{3}+125} & \text { f) } \frac{a x+a y}{x^{2}-y^{2}} \times \frac{x^{2}+2 x y-3 y^{2}}{a}\end{array} \)
Algebra
agazine includes a report on the energy costs per year for 32 -inch liquid crystal display (LCD) televisions. The le states that 14 randomly selected 32 -inch LCD televisions have a sample standard deviation of \( \$ 3.62 \). Assume sample is taken from a normally distributed population. Construct \( 80 \% \) confidence intervals for (a) the population ance \( \sigma^{2} \) and (b) the population standard deviation \( \sigma \) Interpret the results.
Statistics
\( \left. \begin{array} { l } { f ( x ) = x ^ { 2 } + 2 x - 15 } \\ { g ( x ) = x - 3 } \\ { ( f + g ) ( x ) = \square } \end{array} \right. \)
Algebra
\( \left. \begin{array} { l } { f ( x ) = x ^ { 2 } + 2 x - 15 } \\ { g ( x ) = x - 3 } \\ { ( f + g ) ( x ) = x ^ { 2 } + 3 - 18 } \end{array} \right. \)
Algebra
Notice, for a linear function the average rate of change is constant, and it is called the slope. Example 1: Find the slope (i.e. average rate of change) between the given points. \( \begin{array}{ll}\text { A) }(2,0) \text { and }(-1,-4) & \text { B) } f(-3)=-1 \text { and } f(2)=7\end{array} \)
Algebra
if in the function \( F(x)=\left(2 x^{3}+m x^{2}+2 n x+h\right)[x] \) Be derivative at this point \( x_{0}=3 \) and \( x_{0}=1 \) corner point what is \( n-m+h \) ?
Calculus
Rewrite the paragraph and insert appropriate prepositions in the open spaces: Frank and his friends loved The Blue Lagoon, a deep, clear pool surrounded by rocks An the bay. On hot summer days thoy would hike undress and dive the water. They would dive__ the cliff, knife the dry air, fearless, never afrald throw each other_ the consequences. _ the edge of the pool they would Then they would leave __ meet friends___ the braai area.
English
1.10 If you are in front of me, 1 am behind you. ewrite the paragraph and insert appropriate prepositions in the open spaces: rank and his friends loved The Blue Lagoon, a deep, clear pool surrounded by cks. \( \qquad \) the bay. \( \qquad \) On hot summer days they would hike \( \qquad \) , undress and ive \( \qquad \) the water. They would dive \( \qquad \) the cliff, knife \( \qquad \) the dry air, fearless ever afraid \( \qquad \) the consequences. \( \qquad \) the edge of the pool they would hrow each other \( \qquad \) mud. laughing non-stop, free, not a care \( \qquad \) themselve hen they would leave \( \qquad \) meet friends \( \qquad \) the braai area.
English
Given the following functions, find each: \( f(x)=x^{2}+2 x-15 \) \( g(x)=x-3 \) \( (f+g)(x)=\square \) \( (f-g)(x)=\square \) \( (f \cdot g)(x)=\square \) \( \left(\frac{f}{g}\right)(x)=\square \)
Algebra
Rewrite the paragraph and insert appropriate prepositions in the open spaces: Frank and his friends loved The Blue Lagoon, a deep, clear pool surrounded hy rocks _ the bay. dive hot summer days they would hike the water. They would dive _ the cliff, knife the dre alr, fearless, never afrald throw each other_ the consequences. mud, laughing non-stop, free, not a care the edge of the pool would Then they would leave _meet friends_t_ the braal area.
English
if in the function \( F(x)=\left(2 x^{3}+m x^{2}+2 n x+h\right)[x] \) Be derivative at this point \( x_{0}=3 \) and \( x_{0}=1 \) corner point what is \( n-m+h \) ?
Calculus
Let \( f(x)=\frac{1}{x-7} \) and \( g(x)=\frac{6}{x}+7 \) Then \( (f \circ g)(x)=\square \) \( (g \circ f)(x)=\square \)
Pre Algebra
Simplify the following imaginary numbers: \( \begin{array}{ll}\text { 1. } 6 i-2 i+i-4 i & \text { 2. }-7 i-9 i \\ \text { 4. } \frac{5}{i} & \text { 5. } \frac{i^{8}}{i} \\ \text { 7. } \frac{1}{i^{13}} & \text { 8. } i^{-15} \\ \text { 10. }(3 i)^{3} \times i^{5} & 11.2 i^{2}-i^{4}-i^{7}\end{array} \)
Algebra
\( 1 \leftarrow \) A magazine includes a report on the energy costs per year for 32-inch liquid crystal display (LCD) televisions. The article states that 14 randomly selected 32-inch LCD televisions have a samplo standard deviation of \( \$ 3.04 \). Assume the sample is taken from a normally distributed population. Construct \( 98 \% \) confidence intervals for (a) the population variance \( \sigma^{2} \) and (b) the population standard deviation \( \sigma \). Interpret the results. (a) The confidence interval for the population variance is ( \( \square, \square \) ). (Round to two decimal places as needed.)
Statistics
Given the following functions, find each of the values \( f(x)=x^{2}-5 x-6 \) \( g(x)=x+1 \) \( (f+g)(-3)=\square \) \( (f-g)(0)=\square \) \( (f \cdot g)(3)=\square \) \( \left(\frac{f}{g}\right)(-4)=\square \)
Algebra
in the function \( F(x)=\left(2 x^{3}+m x^{2}+2 n x+h\right)[x \) Be derivative at this point \( x_{0}=3 \) and \( x_{0}=1 \) corr point what is \( n-m+h \) ?
Calculus
1. Factorise. \( \begin{array}{ll}\text { a) } 4 a+8 b & \text { b) } 9 x-45 y \\ \text { c) }-3 x+15 y & \text { d) } p^{2} q^{2}-p q^{2} \\ \text { e) } 8 a^{2} b^{2}-64 a b & \text { f) } 4 x^{2}+4 x\end{array} \)
Algebra
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