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neo1400

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1. Wykonaj działania (podaj założenia) 2. Rozwiąż równanie Za rozwiązanie na kartce (czytelne ) daje naj​
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WYKAŻ i ŻE TRZY DANE LICZYBY W PODANEJ KOLEJNOSCI TWORZĄ CIĄG GEOMETRYCZNY√5-2, 1/2, √5-2/4​
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Ktore wyrazy wciągu An=2n-7, x∈N+ są dodatnie? ​
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Rozwiąż równania:(4-x)(x+5)(2x-3)=0b. (2x^2 - x-1)(x+3)=0C. x^3+4x^2 - 2x -8=0Za czytelne rozwiązanie na kartce daje naj ​
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Dane są wielomiany W(x)=-3x^3+2x^2+5x-1, P(x)=2x^2+3x, G(x)=x^4 - 2x^3 +4x^2-7Wykonaj działanie W(x) +P(x) =Za czytelne rozwiązanie za kartce daje naj ​
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4. Dane są funkcje liniowe f(x)=(2m-3)x+4 i g(x)=-4x+7. Oblicz m wiedząc, że wykresytych funkcji są do siebie:a. równoległeb. prostopadłe.​
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30. Choose the correct option to complete each sentence. 1. Rich countries __ more to help poorer ones in my opinion. a shall be doing b can be doing c should be doing 2. He __ earlier on if he doesn’t know what to do now. a can’t be listening b can’t have been listening c can’t listen 3. I suppose she __ it back at the office. It’s definitely not here. a might leave b might have left c might be leaving 4. I __ that it’s not as easy as I thought. a can see b would see c must see 5. There’s only one answer. It __ by the builders when they finished. a must have been taken b must be taking c must have been taking
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27. Choose the correct option to complete each sentence. 1. The book was __ bad that I couldn’t finish it. a so b very c terribly 2. It’s __ well-written, but it’s not that amazing. a fairly b incredibly c really 3. I was __ interested to find out what was going to happen at the end. a slightly b pretty c very 4. He was __ absorbed in his book and didn’t even hear me enter the room. a completely b quite c rather 5. To be perfectly honest, it was __ good, so don’t bother reading it. a a bit b nearly c not very 29. Match the words (A and B) and complete the sentences (1-5) A cheese leather rain sea tin B cake creatures fall opener shoes 1 Oh no! We forgot to bring the ___________. How are we going to open this can? 2 The diversity of _____________ in the Southern Ocean is astonishing. 3 There has been no _____________ here for months and the lakes are drying up. 4 Shall I make a _____________ for dessert? Everyone is sure to like it. 5 I only wear _______________ because they are the most comfortable to walk in.
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25. Choose the correct option to complete the dialogues. 1. A: So what happened when you went to meet that author? B: It was terrible. I didn’t know what to say and I got all embarrassed. A: __ You must have felt awful. a What a relief! b Poor you! c How scary! 2. A: They closed the post office just as I got there so I couldn’t send the letter! B: __ You only went into the centre to do that. a How annoying! b Sounds great! c That was lucky! 3. A: So did you all arrive back safely? B: __ and no one got hurt. I was so happy to be home! a It was a hilarious experience b Luckily, it all worked out in the end c To cut a long story short 4. A: We were left alone in the dark house with no idea what to do. B: __ I think I would have been absolutely terrified. a How scary! b What a relief! c Wonderful! 5. A: I was left at the side of the road, but then a kind driver stopped and gave me a lift. B: __ that someone helped you! You could have been there for hours! a How annoying b That’s too bad c What a relief 26. Complete the second sentence so that it has the same meaning as the first. Use the word in capitals. Do not change the form of this word. You may use between two and five words in each gap. 1. He planned his trip a long time before he told anyone. HAD He _____________________ his trip for ages before he told anyone. 2. It went on to become a trend amongst teenagers. WOULD Later, it _________________________ a trend amongst teenagers. 3. After he completed the test, he called his wife. ON __________________________, he called his wife. 4. I was going to throw it away when I changed my mind. VERGE I was _______________________ it away when I changed my mind. 5. She arrived a moment before I was going to call her. JUST I _________________________ her when she arrived.
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24. Read the text. Match the sentences (a–e) with the gaps (1–5) in the text. There are two extra sentences you do not need. Sarah had always dreamed of visiting a country that was not on the list of usual tourist destinations. It was difficult because she couldn’t find anyone to accompany her and the number of offers online were quite limited. (1) __ He had done something similar many years before through a volunteer organisation. Sarah immediately became interested and found out as much as she could online. She then sent off her application and waited impatiently for the reply. (2) __ There was quite a lot of preparation to do beforehand, but fortunately Sarah had the summer holidays free. In the end, Sarah was accepted into the programme and then given a choice of destinations to choose from. The posting was to last two years, which was a big commitment, but the opportunity was too good to be missed. (3) __ Her parents were not too impressed and tried to persuade her to go for another country. Sarah was insistent, however, and went through with the placement. The two years she spent in the country gave her experiences that she could never have imagined possible. She also learnt a lot about herself and how to cope in difficult circumstances. (4) __ On her return, she got a job at an international aid organisation, and had to deal with complex issues on a daily basis. Although she has never returned to Guatemala since working there as a volunteer, she has been able to stay in touch with friends there using social media. (5) __ She is now married with two small children, and a trip to the other side of the world is something she will just have to put off until later. a. It was too expensive, so she couldn’t afford it. b. After much consideration, Sarah chose c. It was then that she had a visit from her uncle. d. He warned her that it wouldn’t be easy. e. She would love to go back, but says it won’t be for some time. f. A month later she received an invitation to a selection day. g. This was to prove extremely useful in her later career.
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20. Choose the correct option to complete each sentence. 1. When I was out of a job, I received state __ to pay for my living expenses. a benefits b target c grant 2. Overall, household __ is below $20,000 per year. a fate b income c field 3. She was awarded a __ to study at a top US university. a taxpayer b scholarship c survey 4. I’d like to have a career as well as __ a family. a realise b raise c rank 5. How did you overcome the ____ you faced on your way to becoming number one? a obstacles b ambitions c goals 21. Complete the text with the words in the box. a head early earn glass unemployment Nowadays, women do as many different jobs as men, but top jobs are still hard to get. This so-called (1) ______________ ceiling is difficult to smash through, which can be frustrating. It is often said that simply because of their gender, men have (2) ______________ start on the job market. It is easier for them to (3) _______________ a living and have a career. Men also don’t take breaks from working, unlike women who often have to stop working when they have children. As a result, men have better salaries and a greater chance of taking (4) ___________ retirement. The (5) ________________ rate is also higher amongst women, with many having to accept jobs that they are too qualified for.
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17. Complete the text with the correct prepositions. The aim of the health campaign is to raise awareness (1) ______ the importance of a healthy workplace. A few simple steps can help to provide protection (2) _________ a wide range of illnesses. A local man who came to the clinic was diagnosed (3) __________ lung disease because he had been exposed (4) ___________ toxic dust at his workplace. We introduced a simple measure to make sure that workers moved (5) __________ the side when dangerous materials were being transported. This prevented other workers from contracting similar illnesses 18. Complete the dialogues with one word in each gap. Use the words in the box: absolutely, apparently, drag, infection, sure 1. A: Did you enjoy the rock climbing yesterday? B: Not really. I was ______________ I was going to fall and hurt myself. 2. A: So what did the doctor say? B: She said that I just had a/an ______________ and shouldn’t worry about it. 3. A: Why did you decide to go for acupuncture? B: Well I’d tried _____________ everything I could and nothing worked. 4. A: So what did she get as a punishment? B: Well _________________, the principal didn’t punish her at all. 5. A: I’ve got to go to a boring family event at the weekend. B: What a ________________! Maybe you can think up an excuse not to go.
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23. Choose the correct option to complete each sentence. 1. The performance is in January, so I __ a lot over Christmas. a will be practising b will practise c practise 2. I __ my manager at 10:00 tomorrow to discuss the job offer. a have met b meet c am meeting 3. Yoga __ more and more popular where I live at the moment. a becomes b became c is becoming 4. He __ the police to visit him so it wasn’t a surprise when they arrived. a expect b had been expecting c will be expecting 5. By the time he retired, he __there for over 40 years. a worked b had been working c was working
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19. Translate the Polish fragments of the sentences into English. Use the emphatic structures in the box: did he, little did ,not only, only by, rarely do 1. (Nie tylko jest) ________________________ a famous artist, he’s also a racing driver. 2. (Rzadko dostaję) _________________________ such nice compliments. 3. When they developed the treatment, (wtedy jeszcze mało wiedzieli) _________________________________ how important it would become. 4. You can lose weight (tylko przez ograniczenie) ________________________________ how much you eat. 5. Only after seeing his results (zdał sobie sprawę) ____________________________ how lucky he had been. 20. Choose the correct option to complete each sentence. 1. When I was out of a job, I received state __ to pay for my living expenses. a benefits b target c grant 2. Overall, household __ is below $20,000 per year. a fate b income c field 3. She was awarded a __ to study at a top US university. a taxpayer b scholarship c survey 4. I’d like to have a career as well as __ a family. a realise b raise c rank 5. How did you overcome the ____ you faced on your way to becoming number one? a obstacles b ambitions c goals
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14. Translate the Polish fragments of the sentences into English. 1. It can be really useful to attend a (wydarzenie networkingo) ___________________________. 2. They are planning to (przeprowadzać badania) _______________________________ into extreme weather phenomena. 3. It will take a lot of (pracy fizycznej) ____________________________________ to repair the flood walls. 4. I think he will (przyznać się do winy) __________________________________ to the charges against him. 5. They lauched a (akcję pomocy humanitarnej) ____________________________ and started to evacuate people. 15. Choose the correct option. 1. We talked to a woman who / whose house had been destroyed. 2. They live in a region where / which there are a lot of wildfires. 3. The disaster, that / which struck unexpectedly, has devastated the economy. 4. The medical facilities what / that are now available are insufficient. 5. The food aid, much of whom / of which was sent by plane, is still waiting at the airport.
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zad1. Complete the second sentence so that it has the same meaning as the first. Use the word in capitals. Do not change the form of this word. You may use between two and five words in each gap. 1. She paid me a compliment about the meal as she was leaving. ABOUT She ____________________________ the meal as she was leaving. 2. Please leave me alone, I need some time to myself. BREAK Please ______________________________, I need some time to myself. 3. I’ll do something silly so that he notices us. GET I’ll _______________________________ by doing something silly. 4. I argued with my sister again yesterday. HAD I ________________________________ with my sister again yesterday. 5. Do you agree with the proposal we have put forward? FAVOUR _____________________________the proposal we have put forward? 6. Is this a cheap way to promote the product? COSTIs this a ____________________________ way to promote the product? zad2. Complete the second sentence so that it has the same meaning as the first. Use the word in capitals. Do not change the form of this word. You may use between two and five words in each gap. 1. She told me: ‘I’ll help you if I have the time’. SAID She ____________________________________________ me if she had the time. 2. He asked me: ‘Do you know anything about Korean culture?’ IF He asked me ________________________________________ about Korean culture. 3. She said: ‘I attended a great presentation about Brazil last week’. TOLD She ____________________________ a great presentation about Brazil the previous week. 4. He said: ‘It can be hard getting used to local customs’. THAT He ___________ hard getting used to local customs. 5. She said: ‘I’m hoping to meet some people from West Africa’. ME She ___________________________ to meet some people from West Africa.
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11. Read the text. Are the sentences true (T) or false (F)? When was the last time you did something creative? It may always have been the case that the majority of the population is not involved in the creative process most of the time. The other argument is that we are losing our creativity as a result of having everything handed to us on a plate. Technology has made it easier to deal with everyday problems and tasks without having to put much brain power to use. With the arrival of artificial intelligence this trend is sure to deepen. It is only natural to want to simplify or streamline routine chores – this is what humans have been doing for centuries as they develop and learn. So, what can we do to stimulate our creativity? The simplest step is probably to force ourselves to think issues through before looking for a quick answer on the internet. This triggers certain areas of the brain and keeps us alert and pro-active. Considering the ‘why?’ of a particular issue rather than the ‘what?’ is much more beneficial for our thought processes. Unfortunately, many systems of education still focus on learning by endless repetition and assessment. In a world where we can find the answer to practically any question you can think of in just a few seconds, taking time to think through the ‘why?’ is an unnecessary effort fewer and fewer people are willing to make. 1. Nowadays, people often get the chance to prove they are creative. 2. One way to stimulate creativity is to use the internet more often. 3. Education systems based on assessment, facts, and figures are not going to improve our thought processes. 4. Using technology doesn’t help us to be more creative. 5. Not many people today are interested in thinking about why something happened.
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1.Choose the correct option to complete each sentence. 1. We need to think of a new __ to the problem. a approach b outcome c implication 2. It can be hard to __ the impact of the steps you have taken. a displace b supervise c assess 3. Adapting to change is important, so remain as __ as you can. a flexible b fluent c useful 4. The house was constructed of __. a bricks b moulds c curtains 5. If you don’t provide us with the __ equipment, how can you expect us to finish? a creative b proper c logical 2. Complete the second sentence so that it has the same meaning as the first. Use the word in capitals. Do not change the form of this word. You may use between two and five words in each gap. 1. I didn’t know about the problem, so I didn’t do anything. IF ___________________ about the problem, I would have done something. 2. Thinking outside the box helps you to have a lot of original ideas. WILL If you think outside the box, you _________________a lot of original ideas. 3. She should change her style of music to attract more people. WOULD If she changed her style of music, she _____________________more people. 4. It wasn’t a good idea to hold classes so late in the evening. WOULD It __________________________better if they had held classes earlier. 5. Moving around during a presentation keeps people interested. YOU If ____________________ during a presentation, you keep people interested.
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Read the text. Match each paragraph (1–5) with the heading (a–f). There is one heading you do not need to use. 1. __ We still understand very little about – our brain. Although there has been huge progress in recent years, we are still a long way from knowing how chemical processes inside our heads transform into individual thoughts or emotions. 2. __ Fortunately, scientists now have at their disposal a much wider range of techniques for seeing into the functioning of our brains. Detailed scanners are used to reveal which parts of the brain light up when we experience particular situations or feelings. These 3D electronic scans are proving extremely useful in combating a wide range of illnesses and conditions. 3. __ Another exciting development in this field is work on creating ever more efficient connections between the brain and computers. It has already been demonstrated that it is possible to control simple actions on a screen with a thought alone. 4. __ So what are the dangers of such progress? If we move closer to connecting our brains to computer systems, how will we know that we are still thinking independently? It may be that governments or large corporations will be able to interfere with our thought processes and affect our choices. 5. __ Whatever happens, one thing is certain – people will happily embrace any advance that is either an improvement in our lives, or provides the opportunity for additional entertainment. It seems that we are addicted to hi-tech solutions and are always eager to explore new possibilities. a. Thought control for all b. Damage to our health c. Not only positives d. A gap in our knowledge e. A must-have for everyone f. New imaging technology
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1.Complete the sentences with the correct form of the words in capitals. 1. She’d like to work for a charity that deals with animal _______. CONSERVE 2. There’s been a lot of research on the __________________ of plants in places where there is little or no rain. ADAPT 3. Being an _______________ a hundred years ago was extremely challenging. EXPLORE 4. We’re organising a protest against fox ______________. Will you come with us? HUNT 5. The animals have to get used to their new _______________ . SURROUND 2. Choose the correct option to complete each sentence. 1. It’s the wrong attitude to say that we __ anything about the situation. a can’t do b can’t be doing c can’t have done 2. It’s their own fault that the accident happened. They __ more safety precautions. a should have taken b should take c should be taking 3. He __ near the cinema. Let’s go and have a look if he’s there. a might wait b might have waited c might be waiting 4. You __ more carefully when you use that road. You might have an accident. a should have driven b should drive c should have been driving 5. I suppose they __ to reach the peak when the avalanche hit. a can try b could have been trying c could be trying
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1. Complete the sentences with the correct form of the passive reporting verbs. 1. The ship _________________________ (think) somewhere in the Pacific Ocean. 2. There is a range of vitamins that __________________ (claim) to cure certain diseases. 3. Some forms of exercise ______________________ (say) to improve blood circulation. 4. It ______________________ (assume) that he will make contact in the next few days. 5. One of the local men __________________ (know) for his predictions about the future. 2. Rewrite the sentences using the correct form of have something done. 1. The dentist removed two of his teeth last week. He _______________________________________________ last week. 2. The hairdresser cuts her hair every two weeks. She ______________________________________________ every two weeks. 3. They checked my luggage when I arrived at the airport. I __________________________________________ when I arrived at the airport. 4. My local garage services my car twice a year. I ________________________________________ twice a year by the local garage. 5. They washed our windows on Saturday. We ______________________________________________________ on Saturday.
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3.Complete the second sentence so that it has the same meaning as the first. Use the word in capitals. Do not change the form of this word. You may use between two and five words in each gap. 1. A lab in Germany developed the new medicine. BY The new medicine ____________ a lab in Germany. 2. When I looked out of the window, a truck was taking my car away! WAS When I looked out of the window, my car _________________ by a truck! 3. They have warned us about it many times. BEEN We ________________________ about it many times. 4. They are carrying out tests this week. CARRIED Tests ____________________ this week. 5. They might store the equipment in this room. MIGHT The equipment ____________________ in this room.
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1. Choose the correct option to complete the text. During their research, the scientists realised that if they heated (1) __ the substance to more than 150 degrees Celsius, it produced a new type of material. This can be used to stop some engine parts from warming (2) __ too much, which may be dangerous. The research team was rewarded (3) __ their discovery, which will open (4) __ new possibilities in science. Our reporter was recently let (5) __ the lab to see what the team is now working on. Here is the report she sent back … 1 a in b out c up 2 a in b up c on 3 a for b of c in 4 a of b up c out 5 a into b by c with 2. Choose the correct option. 1. He was asked for his full cooperation / cooperative during the investigation. 2. Your work is satisfactory, however you still need to add references / discovery at the end. 3. As far as we are aware, the capacity / circumstance of the brain is unlimited. 4. Certain situations can cause the body to release / prove hormones. 5. The injury is quite serious and may require surgery / uncertainty.
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