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Narysuj wykres funkcji i omów jej własności. f(x)= -9 ----- + 3 x+2
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W ostrosłupie prawidłowym czworokątnym ściany boczne tworzą z podstawą wypukłe kąty dwuścienne. Wskaż krawędzie tych kątów dwuściennych. Oblicz miarę tych kątów, jeżeli wysokość ostrosłupa wynosi 4V3 cm, a krawędź podstawy ma długość 8 cm. V to pierwiastek.
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W ostrosłupie prawidłowym czworokątnym ściany boczne tworzą z podstawą wypukłe kąty dwuścienne. Wskaż krawędzie tych kątów dwuściennych. Oblicz miarę tych kątów, jeżeli wysokość ostrosłupa wynosi 4V3 cm, a krawędź podstawy ma długość 8 cm. V to pierwiastek.
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Z urny zawierającej 5 kul (białą, czarną, niebieską, fioletową, zieloną) losujemy dwie kule. Ile jest możliwych wyników losowania?
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Z talii 52 kart losujemy jedną. Zdarzenie A polega na wyciągnięciu króla, zdarzenie B na wyciągnięciu trefla. a) określ liczbę wszystkich zdarzeń elementarnych b) na czym polega zdarzenie A u B ; A\B ; A n B?
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Z grupy 6 mężczyzn i 4 kobiet wybrano wybrano losowo 2 osoby. Jakie jest prawdopodobieństwo wybrania dwóch kobiet?
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Przekątna przekroju osiowego walca ma długość 16 cm i tworzy z podstawą walca kąt o mierze 30 stopni. Oblicz objętość i pole powierzchni całkowitej walca.
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Oblicz objętość i pole powierzchni całkowitej prostopadloscianu o wymiarach podstawy 4V3 cm i 4 cm, którego przekątna tworzy z podstawą kąt o mierze 30 stopni. V to pierwiastek.
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Wyznacz miarę kąta środkowego okręgu o środku O, opartego na łuku AB, jeżeli: a)miara kąta wpisanego, opartego na łuku AB ma 47 stopni b)miara kąta wpisanego, opartego na łuku AB, jest o 48 stopni mniejsza od miary kąta środkowego
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W układzie współrzędnych sporządź wykres funkcji f(x)=(1/4)^x, a następnie wykres funkcji g(x)=(1/4)^x+2 - 4 (minus 4 już nie jest w potędze).
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Jak przekształcono ten wzór, że wyszedł ten drugi? Ktoś mi wytłumaczy? Zdjęcie w załączniku.
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Read the article. Match each paragraph 1–5 with the heading A–F that best fits. There is one heading you do not need. Mystery book 1 _____________ One of the most mysterious books in the world is the so-called Voynich manuscript. The name refers to Wilfrid Voynich, a book collector who bought the manuscript in Italy in 1912. We do not know who wrote the manuscript or why, but scientific analysis shows that it probably dates from the fifteenth century and was written in northern Italy. Attempts to trace the history of the manuscript have identified some of its previous keepers, but have opened up more questions than they have answered. 2 _____________ The book is about 240 pages long and appears to have six main parts. It is richly illustrated with pictures of plants, animals, people and stars. There are many theories about the subject matter of the manuscript. The pictures suggest that the manuscript may be a handbook for doctors working with herbs, but no one knows for sure. Why is that the case? Because no-one can read it! 3 _____________ The book was written in a language that nobody has been able to read, using letters that nobody recognises. Many people think the book is written in code, but even the most experienced code-breakers have been unable to translate it. Experts have identified about 30 recurring letters or symbols that may correspond to an encoded alphabet; however, there are also a number of letters or symbols that appear only once or twice in the whole book. There appear to be nearly 35,000 ‘words’ in the manuscript. 4 _____________ Experts usually agree that the first section is about plants, and that the first word on each page is the name of a plant. This section follows the pattern of medieval herbal guides with descriptions and careful illustrations. But this does not make it easier to understand the manuscript because nobody recognises the plants. Some look familiar, but the pictures often show peculiar details that don’t match any known plants, or they combine the roots of one plant with the flowers, fruit and leaves of other species. 5 _____________ Some people suggest the book must have been a kind of trick or hoax and that the reason we cannot understand it is that it doesn’t mean anything. Others argue that it can’t have been just a joke because writing 240 pages and drawing the complex pictures must have taken months and been a lot of hard work. One theory is that someone with a mental illness wrote the book, and that it is a product of his or her imagination. We may never know, but the Voynich manuscript continues to be one of the world’s greatest mysteries. A An overview of the structure B A challenging puzzle C Just a load of nonsense? D Origins and owners E A magical garden? F The author’s identity
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Choose the correct answers. 1 My friend Paul lives near here. Shall we call on / up / after him? 2 I had an accident last year. It took me several months to get out / from / over it. 3 What are you looking into / for / after? Perhaps I could help you find it. 4 Do you know Fiona? I’ve never come across / out / through a friendlier person. 5 The police are looking for / into / across the mystery of the house that disappeared.
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Chemia rozszerzona dysocjacja. Pomocy! Hej. Mógłby ktoś z was mi wytłumaczyć jak te równania dysocjacji powinny wyglądać? W podręczniku mam inaczej, a w tych przykładach z lekcji i korepetycji brakuje jakby tych współczynników. Nie wiem jak jest dobrze. Pomocy :( Lekcja --> Mg(OH)2 strzałki w dwie str Mg(2+) + OH(-) Książka --> Mg(OH)2 strzałki Mg(2+) + 2OH(-) Lekcja--> H2S strzałki H(+) + S(2-) HS(-) strzałki H(+) + S(2-) Książka --> H2S strzałki 2H(+) + S(2-)
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Complete the sentences with the correct form of the verbs in brackets. Use the infinitive or a pronoun with will. 1 We’re hoping ____________ (buy) a new flat in the centre of town next year. 2 I don’t think ____________ (go) to Frances’ party next weekend. I don't have time. 3 Are you planning ____________ (go) to university after you leave school? 4 Lindsey wants ____________ (study) Japanese before she moves to Tokyo. 5 Do you reckon ____________ (be) like your parents when you get older?
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Jaka jest długość fali biegnącej, jeżeli odległość między trzecim i szóstym węzłem wynosi l=0,675m? Wykonaj rysunek i zaznacz długość fali.
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Owoce wykazują różnorodne przystosowania do rozprzestrzeniania zawartych w nich nasion. (na rysunku owoc klonu i jarzębiny) Wyjaśnij, na czym polegają przystosowania przedstawionych na rysunkach owoców do rozprzestrzeniania zawartych w nich nasion.
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Oblicz pole powierzchni równoległoboku o bokach długości 10 i 20 cm oraz kącie rozwartym 150 stopni.
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Kąt ostry rombu ma miarę 60 stopni. Oblicz jego obwód, jeśli pole wynosi 18 pierwiastków z 3.
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Complete the sentences with the correct prepositions. 1 When we were children, my brother was scared ________ the dark. 2 I’m confused ________ this invitation. It says the party is on Sunday 24th, but Sunday is the 22nd! 3 I didn’t tell her the truth, and I still feel guilty _____ ___ that. 4 Joan is fed up ________ all the late - night phone calls she’s getting. 5 What achievement are you most proud ________ ? 6 Chris was quite pleased ________ his exam results last term. 7 Nicki is still feeling ashamed ________ her behaviour at the party l ast weekend. 8 Are you nervous ________ the concert tomorrow? I’m sure you’ll be great! 9 I’m not usually jealous ________ other people’s success.
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Translate the Polish parts of the sentences into English. 1 Angela and Daniel (wsiadali do autobusu) ____________________ when they saw a terrible accident. 2 Angela was very upset; (załamała się) ____________________ and cried. 3 (Po chwili) ____________________ , however, she took out her mobile and called the ambulance. 4 (Czy Sarah kiedyś miała) ____________________ have long hair? 5 ‘Guess what! I met Susie in the park today.’ ‘(Ale niespodzianka) ____________________ !’ Complete the sentences with the correct form of the adjectives in brackets. 1 The film we saw wasn’t very ____________ . My sister actually fell asleep. (excite) 2 ‘What’s wrong? You look ____________ .’ ‘I think I’ve lost my wallet.’ (worry) 3 The directions she had given us were ____________ , so we got lost. (confuse) 4 Did he really say you were ugly? I'm ____________ ! (shock) 5 Which film did you find more ____________ , Alien or Saw? (frighten) Complete the sentences. Use the past simple, past continuous or past perfect form of the verbs in brackets. 1 It was a beautiful morning. The sun _______________ (shine) and the world was bright. 2 Who ________ you ________ (talk) to when I saw you last night? She looked familiar. 3 I spent the afternoon listening to Rick’s songs, but I _______________ (not like) them. 4 Jason _______________ (play) in a band called Flotsam & Jetsam before he joined Metallica. 5 Vicky didn't want to see the film because she _______________ (see) it before. 6 David picked up the phone and _______________ (call) his best friend. 7 While we were watching the concert, it _______________ (stop) raining. 8 A lot of snow _______________ (fall) yesterday, but it’s warmer today. 9 Caitlin and Ryan _______________ (know) each other for years before they became a couple. 10 The musicians _______________ (prepare) to go on stage when it started to rain
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Complete the sentences with the verbs below. There is one verb that you do not need. doubt memorise realise recall recognise remind solve 1 I didn’t ____________ John when he came up to me. He looks different with a beard. 2 When Sarah sees him, she’ll immediately ____________ that something is wrong. 3 I often find it difficult to ____________ long poems. I have to read them again and again. 4 I asked my sister to ____________ me to buy a birthday present for Mum. 5 Grandfather can ____________ the Times crossword puzzle in a few minutes. 6 The weather forecast says it’s going to rain, but I ____________ it. There are no clouds in the sky.
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