1 if 2x + 5y-3 = 0, find the x power of 4 times the Y power of 32 2 known: a + 2B = 0 prove: the third power of a + 2Ab (a + b) + the third power of 4B = 0 Try to judge the last digit of the power 2009 of 2010 + the power 2010 of 2009
This student, you can do this: 1) the x power of 4 = the 2x power of 2, the Y power of 32, equal to the 5Y power of 2, which can be combined to get the 3rd power of 2, = 8.2) we can replace a with - 2b, and then take it in to get the result. 3) we can know that the last number of 2010 is 0, so no matter how many it is
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- 1. Solving math problems with equations in Grade Seven Entering the flood season, the students of class 1, Grade 7 went to the reservoir to investigate the flood situation There are 10 flood sluices in total. Now the water level of the reservoir exceeds the safety line, and the river water in the upper reaches still flows by one Constant speed into the reservoir, students after a day of observation and measurement, do the following Record: one sluice gate was opened in the morning, and the water level continued to rise within 2 hours 66km. After opening two sluice gates in the afternoon, the water level dropped by 0.1M in 4 hours. At present, the water level of the sluice gate is lower than that of the sluice gate The water level is still 1.2m above the safety line (1) If five sluice gates are opened, it will take several hours for the water level to drop to the safety line ? (2) If the flood control headquarters requires the water level to drop to the safety line within 6 hours, it should call again How many floodgates are open? Please give me the process thank you The unit of 0.66 is meter
- 2. Some of the same rooms need wall painting. Three first-class technicians go to paint eight rooms a day. As a result, there are 50 square meters of future wall painting and painting. In the same time, five second-class technicians paint another 40 square meters of wall besides 10 rooms. Each first-class technician paints more than 10 square meters of wall in one day than the second-class technician, so the wall area of each room needs painting There are a group of pigeons and some pigeon cages. If 6 pigeons live in each pigeon cage, the remaining 3 pigeons have no pigeon cages to live in. If another 5 pigeons fly together with the original pigeons, each pigeon cage just lives in 8 pigeons. How many pigeons and pigeon cages are there?
- 3. The distance between a and B is 22.5km, and they are facing each other at the speed of 2.5km and 5km per hour respectively. Meanwhile, the dog with a runs to B at the speed of 7.5km per hour. The dog runs back to a immediately after meeting B, and then runs to B again after meeting a Until a, B meet, then the dog's journey is______ .
- 4. Wang Qiang took part in a 3000 meter race. He ran a part of the distance at the speed of 6 meters per second and finished the rest at the speed of 4 meters per second. It took 10 minutes. How many meters did Wang Qiang run at the speed of 6 meters per second?
- 5. A, B, C three water pipes, open a pipe alone 5 hours to fill the pool; a and B two pipes open together, 2 hours to fill the pool; a and C two pipes open together, 3 hours to fill the pool. Now open a, B, C three pipes together, after a period of time a pipe failure to stop water injection, but 2 hours later the pool full, ask a, B, C three pipes together put how much time Water?
- 6. The product of four integers a.b.c.d that don't want to be equal ABCD = 9, find a + B + C + D Mr. Wang sold two kinds of stocks at the same time. A made a profit of 20% when selling 1200 shares. B also made a loss of 20% when selling 1200 shares. Is the total profit or loss? When a plane flies between two cities, the wind speed is 244m / h. It takes 5 hours for downwind and 6 hours for headwind to find the distance between two cities There are two water inlet pipes in the pool, which are filled in 3 hours after opening a, 2 hours after opening b, and how many hours after opening both pipes? AB two runs, a lap 3 minutes, B lap 2 minutes at the same time running in the opposite direction, the first meeting in a few minutes?
- 7. (-1)+3+(-5)+7+(-9)+11…… +(-2007)+2009 (1/1X3)+(1/2X5)+.+(1/2003X2005) (1/1X4)+(1/4X7)+(1/7X10)+.(1/2002)X(1/2005)
- 8. The third power of 2 + the third power of 4 + the third power of 6 + the third power of 8 + +The third power of 100 =?
- 9. 1. Party A and Party B ride bicycles from two places 65km apart at the same time. After two hours, Party A and Party B meet. Party A rides 2.5km more per hour than Party B. find out the speed of Party B 2. A passenger's train is moving at a speed of 40km / h. he sees the oncoming train passing by him in 3S. It is known that the oncoming train is 75m long. Find the speed of the oncoming train. (train equation solution) 3. A and B practice the 100m race. A runs 7m per second and B runs 6.5m per second. If a asks B to run for 1s first, a can catch up with B in a few seconds 4. Both Party A and Party B go from place a to place B. Party A walks 5km per hour, 1.5h first; Party B rides a bicycle, and Party B walks for 50min. They arrive at the destination at the same time, and ask Party B how many kilometers per hour 5. The distance between the enemy and us is 28km. We know that the enemy fled at the speed of 8km per hour one hour ago. Now our army is chasing the enemy at the speed of 14km per hour, and can catch up with the enemy in a few hours
- 10. What is the zero power of (- 2) + (negative half) / (negative second power of negative half) * (negative third power of negative half)
- 11. 1. There are 9 playing cards, and their points are 1 23 4 5 6 7 8 9. It is known that the average number of 5 playing cards on the left is 6, and the number of points of 5 playing cards on the right is 4. What is the card in the middle? 2. The bottom radius and height of the two containers are 5cm and 15cm respectively. First put two pieces of ice into the cylinder, and then pour all the juice in the cone into the cylinder. This is the height of the liquid level in the cylinder, which is 7cm (the ice is completely submerged). Calculate the area of the original two pieces of ice 3. Father and son start from the starting point of 100m runway at the same time and walk to the terminal at a constant speed. When father walks 40m, son walks 30m. According to this calculation, when father reaches the terminal, how many meters is the son away from the terminal? If father returns immediately after reaching the terminal, how many meters will he meet his son?
- 12. Q1: given (a + b) & sup2; = 9, ab = - 3 / 2, then a & sup2; + B & sup2; equals () Q2: given (a + b) & sup2; = m, (a-b) & sup2; = n, then AB equals () Q3: if a + B = 3, then the value of 2A + 4AB + 2B & sup2; - 6 is () Q4:( _____ ) ·(-2mn)=4mn-2m²n². Q5: if the polynomial 9m & sup2; + 1 plus a monomial is a complete square with m, please write a monomial that meets the requirements:_______ . Q6: if a + B = - 3, ab = 2, then a & sup2; + B & sup2=_______ ,(a-b)²=______ .
- 13. Given that the square + Ma + 9 of polynomial A is a complete square expansion, then the value of M is ()
- 14. A kind of bottled beverage produced by a beverage company is printed with "600 ± 30ml" on the outer package. What is the meaning of "± 30ml"? Expression
- 15. Try to write a polynomial satisfying the following conditions at the same time: (1) Contains only the letter X (2) There is no constant term (3) The number of times is two (4) The coefficients of all the monomials are one
- 16. I'd like to ask some math questions for high school students, 1. The gravitational force F between a satellite and the earth is given by the formula F = GMM / R, where m is the mass of the earth and G is a constant 2. During the summer vacation, a travel agency launched the following method of group formation: for groups with 100 people, each person charges 1000 yuan. If the number of groups exceeds 100 people, the average charge per person will be reduced by 5 yuan for each more than one person, but the number of groups can not exceed 180 people. How to form a group, but the travel agency charges the most? 3. The area of a certain type of printing paper is 623.7cm square, and the margins of the upper and lower pages are required to be 2.54cm respectively, and the margins of the left and right pages are required to be 3.17cm respectively. If vertical printing is required, what is the length and width respectively to make the maximum printing area (accurate to 0.01cm)
- 17. On the mathematical problem of equal ratio In the equal ratio sequence {an}, A1 = - 3, A5 = - 12, then the value of A6 is equal to?
- 18. A cone-shaped beach has a bottom diameter of 6 meters and a height of 0.9 meters. If each cubic meter of sand weighs 0.4 tons, how many tons does this pile of sand weigh? (the number is reserved to 10)
- 19. A farm originally planned to sow 2000 mu of wheat in several days, but in actual sowing, the sown area per day was 30 mu more than the original plan, which not only completed the task within the specified time, but also sowed 240 mu more wheat. How many mu of wheat per day was the original plan? How many days was the original plan? Lie equation
- 20. 2(3x-1)²-32=0 27(1-4x)³=125 Find the value of X