If (0.5 + a) ^ 2 and | B-2 | are opposite, then a ^ B =? In the process of culture, a certain bacterium splits every half an hour (from one to two). If the bacterium splits from one to 16, how many hours will it take?

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• 1. 1. Observe the following formulas: 1 + 2 + 1 = 4, 1 + 2 + 3 + 2 + 1 = 9 1＋2＋3＋4＋3＋2＋1＝16 1＋2＋3＋4＋5＋4＋3＋2＋1＝25 (1) Please find out the law of it 2. Using the rule of (1), please quickly calculate: 1＋2＋3＋…… ＋99＋100＋99＋…… The value of + 3 + 2 + 1 2. Observe the following equation: 2＝2＝1x2 2＋4＝6＝2x3 2＋4＋6＝12＝3x4 2＋4＋6＋8＝20＝4x5 (1) Write the sum of continuous even numbers from 2 to n (n is a natural number) (2) When n = 10, what is the sum of consecutive even numbers from 2 to the 10th
• 2. 1、 Calculate the surface area of each cylinder The radius of the cylinder is 3.3 cm and the height is 5.5 cm (2) the bottom is C = 15.7 and the height is 6.6 (3) the radius of the cylinder is 5 cm and the height is 16 cm 2、 The specification of a certain cylindrical potato chip box is shown in the figure on the right, with a radius of 3cm and a height of 10cm. How many side wrappers can be made per square meter at most? 3、 To make a cylindrical iron sheet, the circumference of the bottom surface is 18.84 decimeters, and the height is 8 decimeters. How many square decimeters of iron sheet do you need to make this oil barrel? 4、 A cylindrical chef's hat (with only one bottom) has a bottom radius of 8 cm and a height of 25 cm. How many square centimeters of white cloth do you need to make this cook's hat? 5、 A cylindrical sewage treatment tank with a bottom radius of 20 meters and a depth of 5 meters. Cement should be applied to the side and bottom of the tank. How many square meters is the area of the cement part? Just give me the answer, but the second question needs to be formulated
• 3. What is the constant term in the expansion of (x + 1 / x) ^ 4?
• 4. The two passenger and freight cars leave from the two places at the same time. After two hours of meeting, the distance ratio between the passenger car and the freight car is 2:5. The passenger car travels 40 kilometers per hour, and the freight car travels how many kilometers per hour Another way is that for a project, Party A and Party B need to complete it in six days. It is known that 1 / 2 time for Party A to complete this work alone is equal to 1 / 3 time for Party B to complete this work. How long does it take for Party A to complete this work alone?
• 5. Fast, fast, 1. If (a-b) × 0.5 = 1.2, a △ 0.2 = 12, then B = () 2. To make the equation "number + Learning" × (number + Learning) = mathematics "hold, then the number represented by" number "is (), and the number represented by" learning "is () 3. One and a quarter × 17.6 + 36 △ four fifths + 2.64 × 12.5= four
• 6. 1. 101 * 99-100 and 1 / 2 * 99 and 1 / 2
• 7. Given 3x + 4y-6 = 0, find 8 ^ x * 16 ^ y
• 8. The first one: M + 3 / M - the square of M - 9 / 6 / M - 2 / 3, where M = - 2 (simplified evaluation) The second: X-2 / 5x-4 = 3x-6 / 4x + 10 Final - 1 (solving the equation) Who can tell,
• 9. Fill in the operation symbols to add, subtract, multiply and divide to make the equation true 5 5 1 5=8 3 8 3=24 It's a continuous equation
• 10. The teacher takes two students to visit the museum 33 kilometers away from the school. The teacher takes a motorcycle with a speed of 25 km / h. the back seat of the motorcycle can take one student with a speed of 20 km / h. The walking speed of the students is 5 km / h. please design a scheme so that the time for the three teachers and students to arrive at the museum is no more than 3 hours
• 11. Brother and sister, come and help me with this math problem Try to explain that the product of 4 continuous natural numbers and the sum of 1 is a complete square number
• 12. If two angles complement each other, and one of them is 30 degrees less than four times the other, then none of them is () A 42 degrees, 138 degrees or 40 degrees, 130 degrees, B 42 degrees, 138 degrees C 30 degrees, 150 degrees, d above the answer is wrong It is known that the angle AOB is 50 degrees and the angle AOC is 110 degrees. Make bisectors of AOB and AOC, OM and on respectively. The size of the angle mon is—— Why is the solution of the equation 2x-2m = 3x-4x-1? According to the 12th Five Year railway regulations of our province, after the completion of the Lianyungang Xuzhou passenger dedicated line project, the shortest passenger transport time from Lianyungang to Xuzhou will be shortened from the current two hours and eighteen minutes to 36 minutes. The starting speed will be increased by 260km per hour. The equation is used to solve the train speed after the speed increase (Jingxue is accurate to 1km per hour)
• 13. Help me to look at these math problems 1. When celebrating the "June 1st" party, Xiaohong and Xiaoyun made 134 red flags. If Xiaohong gave Xiaoyun 25% of what she made and Xiaoyun gave Xiaohong 10, then the red flags they made were exactly the same. How many red flags did Xiaohong make? 2. After 70% of the flour is sold, 900 kg of flour is imported. At this time, the flour in the grain store is 105% of the original flour. How many kg of flour does the grain store have? By the way, tell me why!
• 14. Given that θ is a minimum internal angle in a triangle, and the square of a (COS θ / 2) + (sin θ / 2) + (COS θ / 2) - the square of a (sin θ / 2) = a + 1, then the value range of a is A、a-1 C、a≤-3 D、a≥-3
• 15. 1. The side of a cylinder is square, and the ratio of the bottom radius to the height of the cylinder is () 2. The area of the bottom of the cylinder is expanded to three times of its original height and reduced to one third of its original volume 3. The inner barrel of a washing machine is cylindrical, with a bottom diameter of 40 cm. If the height of water used each time is 25 cm, how much cubic centimeter does it take to wash three times at a time? How much water does a family need to wash twice a week?
• 16. Help solve a math problem. Please hurry up and wait online Given that circle C: x ^ 2 + y ^ 2-2x = 0, line y = KX intersects circle C at point a, try to find the trajectory equation of the midpoint of line OA Thank you for the detailed process
• 17. There are points in math problems 1. To weld a 5cm long, 4cm wide and 3cm high cuboid model with iron wire, at least () cm long iron wire is required No formula
• 18. I'll wait eight minutes A long-distance bus station will send one car to the east line every 20 minutes and one car to the west line 15. If it starts to the two lines at the same time, at least how many points will it have to go through and start at the same time?
• 19. Who will give points to math problems! （ ）：6=0.75 3 △ 5 = 9: () = 20 parts () = () [fill in decimal]
• 20. In April of this year, Mr. Wang bought 3000 shares at 10.56 yuan per share, and paid 0.2% and 0.2% commission respectively. From May of this year, the State stipulated that the Commission was 0.3% and 0.3%. On May 19, Mr. Wang sold 3000 shares at 13.8 yuan per share. How much did Mr. Wang earn? 2. The number of boys in a class accounts for 55%, and 66% of the class participate in the math interest group. Among them, 72% of the boys participate in the math interest group, and what percentage of the total number of girls do not participate? There are 45 people in a class. Choose a monitor from the two. Among them, 40 people agree with a and 37 people agree with B. the number of people who all agree is one ninth of the number who all agree. How many people do you agree with and disagree with? The above problem had better not use the equation solution, if the column equation can only use 1 unknown number Wrong number There are 45 people in a class. Choose a monitor from the two. Among them, 40 people agree with a and 37 people agree with B. the number of people who disagree with all is one ninth of the number who agree with all. What are the number of people who agree with all and who disagree with all?