この（1）の隣に書いてある等式はなぜ成り立つのか教えてほしいです。 よろしくお願いします🙇‍♀️

[指針 (1) .C.=n! (7) r!(n-r)! を利用して (2) 二項定理(p.13 基本事項

下線部Dと答え.ウはなぜ同じ用法なんでしょうか 教えてください🙏

closer to reality. Researchers have investigated the use of electricity to stimulate vision for nearly half a century. In the 1960's, a *physiologist implanted 80 electrodes on the surface of a blind person's *visual cortex, a region at the back of the brain. Wireless stimulation of the electrodes made the patient see spots of light known as *phosphenes. This is the first stop for visual signals coming from the eye. (D) By the 1980's, a crop of *ophthalmologists began considering a narrower and seemingly easier-to-solve problem: making *prostheses for the eye. They suggested that degrade *photoreceptor cells called *rods and cones, still leave large portions of the retina intact even after a patient has become totally blind. The way to stimulate the remaining functional cells was proved *feasible in the mid-1990's. A device consisting of a tiny video camera perched on the bridge of a pair of glasses, a belt-worn video processing unit, and an electronic box, was developed recently. The electronic box issues signals to an implant behind the patient's ear that has wires running to a grid of 16 electrodes affixed to the output layer of the retina. The video processor wirelessly transmits a simplified picture of what the camera images to the box, and then the retinal implant stimulates cells in a pattern roughly reflecting that information.

教えてほしいです

3 次の英文を読み, 空所に入れるのに最も適切なものを, それぞれ下の①~④のうちから一つずつ選びなさい。 Cigarette smoking has negative effects not only on the body of the person who smokes but also on the body of someone who regularly breathes in second-hand smoke. Some of the most obvious effects are high blood pressure, sleep disorders, heart failure, and lung cancer. Despite such harmful consequences, ( 10 ). It has been reported that smoking creates feelings of pleasure, reduces tension, and promotes close relationships. Many smokers admit that smoking is a bad habit. ( 11 ), they tend to think that the number of cigarettes that they smoke is below the danger level and thus are not worried about the risk. Some even feel that they do not breathe in the smoke and that a cure for cancer will be found before they become ill with the disease. We have to admit that smoking is a habit which is difficult to break ( 12 ) the nicotine found in tobacco goes into the blood and stimulates the brain, making smokers feel pleasant for several minutes. What is more, the smoker usually feels anxious and wants to have another cigarette. ( 13 ) the policies that now ban smoking in most public areas, the stress that people often experience at work and at home can force them to smoke. ( 10 ) ①some people decide to stop smoking millions of people continue to smoke ( 11 ) the price of cigarettes has risen ①smoking is more harmful than drinking Therefore 2 While ③ Of course 4 However (12) 1 because 2 as a result 3 but SO (13) ①Despite 2 Although (3) But 4 Yet

The huge layers〜の文の文構造を教えて欲しいです🙇🏻‍♀️

第4段落 "shab of blues mul sii Bears have long been hunted by humans for meat and fur. 2The numbers to be destroyed are now strictly controlled by international agreements but hundreds are still killed each year. 3 Humans also present another threat to bears - through pollution of the sea with poisonous chemicals called PCBs, Lemicals /Called bears/to 人のために which accumulate in fat. "The huge layers of S fat used by bears to survive in the cold collect PCBs, which then affect their hormonal systems and can cause sex changes. クマは肉と毛皮のために, 長い間, 人間による狩りの対象となってきた。 2狩られる数は国 際協定によって今では厳しく規制されているが,今でも毎年何百頭も殺されている。 人間はま た, 脂肪に蓄積する PCB と呼ばれる毒性のある化学物質で海を汚染することを通じて、クマ に別の脅威も与えている。 4クマが寒さの中を生き延びるために使う分厚い脂肪の層に PCB が たまり、その後 PCB がクマの内分泌系に影響を与えて性転換を引き起こすことがある。 1 long 「長い間」 □hunt を狩る, 狩猟する」 □humans 「人間」 □ fur 「毛皮」 は「(狩

数IIの三次方程式の解と係数の関係です。 a^3+b^3+c^3=(a+b+c)(a^2+b^2+c^2-ab-bc-ca)+3abc の変形の仕方が分かりません。 詳しく教えてくれたら嬉しいです。 後、こういう公式って中身を理解するより丸暗記の方がいいんですかね？

（14）の問題なのですがどれが当てはまるか考えてもわからなかったのでわかる方がいらっしゃいましたら教えていただきたいです。

aren't any eggs in the refrigerator. (b) There are ( ) eggs in the refrigerator. ①good ②no 3 dozen chose 4 (14) (a) You never fly with us without mileage bonuses being accumulated to your acc (b) ( ) you fly with us, mileage bonuses are accumulated to your account. Whatever 2 Whenever ③Whoever Whichever (H) (15) His explanation was not satisfactory at all. ④ His explanation was ( ) from satisfactory. (**+7+) long

数学のサインコサインの問題なんですが、(1)の答えがなんでこうなるのか分かりません。 過程を教えて欲しいです！自分でも解いてみたけどcosがどこ行ったのか分かりません！！ 至急お願いします。

= (1) sin 3a sin (2a+a) = sin 2a cosa + cos 2a sin a = 2sin a cos² a +(cos² a sin² a)sin α = 3sin a cos² a - sin³ a =3sina (1-sin 2a)- sin 3 a = 3sina - 4sin³ a (2) cos 3a=cos (2a + a) = cos 2a cosa - sin 2a sina - =(cos² a sin² a)cosa - 2sin² a cosa = cos³a - 3cosa sin² a = cos³ a - 3cosa (1-cos² a) = -3cosa +4cos³ a

次のテストでこの単語が含まれた長文が出るらしいです。一つは、早稲田大学法学部のものだと考えられます。残り2つを色々調べたんですが、なかなか考えられるものがありません。なにか心当たりありましたら、教えていただきたいです。

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添削お願いします。🙇‍♀️

[4] Read the instructions and write a well-organized answer in English. (50 points) Partly due to the recent spread of the new coronavirus, some museums, especially small and medium-sized facilities, have been forced to close their doors or restrict admission to their facilities. A survey conducted by the Japan Association of Museums in 2021 revealed the severe business conditions of museums nationwide. ETTU However, museum education* has a lot to offer to the public at large Describe a no single specific thing the museums can offer to the public that contributes to the improvement of their lives. Explain your idea in detail in about 100 English words. onu boycloeb ton as ilsati matave, Notes: 8) esw gnidt slodw add o2 Jom erw zbioresuit lensi nist:95 museum education*: Museum education program means utilizing the resources donese noise aeder moT of the art, science, or history museums, aquariums or bide cobrol ni board nou zoos for formal or informal learning opportunities for the gaibaste pidot robsond sal citizens. bai de noqo ad bluoda inomaisvos d Tom & al 9tedt siqabg sdi 6 nobennoint vom shivong has anoisiluznos }

英作文の添削をお願いします。😌

[4] Read the instructions and write a well-organized answer in English. (50 points) Virtual reality (VR)* refers to a high-quality simulation of reality created by a computer. Probably the most famous use for VR so far is gaming. But VR has also been used to improve society in various fields such as education, medicine, and engineering. Describe a single specific way that virtual reality can be used to improve society. Explain your idea in detail in about 100 English words. Notes: Virtual reality (VR)*: VR systems use special glasses that completely cover the user's eyes. These glasses show a very realistic picture of a world created by the computer. In addition, the systems can tell when the user moves their head, arms, and sometimes other body parts. So users can control the action by natural movement. Some systems even let users feel like they are touching things. Thus, VR systems can make users feel like they are really in another world. 〔答案〕 I suggest you to simulation with VR. For example, doctors can practice operation. I have the three reasons. First, VR's display is very real. So doctors can do as if real simulation. Second, every one can make simulation software. If you want add patients information to VR and study how to make software, you can make VR software to yourself. Third, medical professors can use VR simulation in lecture. If they do this, Students who want be surgeon in the future will reduce about operation's anxiety. In this way, VR have a lot of possibilities that useful of medical field. For these reasons, I suggest VR simulations.