How many numbers can be taken out from the natural number 1,2,3,4,5... 100, so that any four of them can be divided by 15?

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• 1. Calculate the following questions (main process) 1, - 2 (x-3) - 3 (2x-5) 2, - 1 / 2 (x-4) - 1 / 4 (2x + 6) + x-3
• 2. (11x^3-2x^2)+2(x^3-x^2)
• 3. There is a problem that a polynomial subtracts x to the second power + 14x-6. Xiaoqiang mistakenly takes it as an addition calculation, and the result is 2x to the second power - x + 3. The correct result is multiple How to calculate? There must be a formula There is a problem that a polynomial subtracts x to the second power + 14x-6. Xiaoqiang mistakenly takes it as an addition calculation, and the result is 2x to the second power - x + 3. What is the correct result?
• 4. 2 of 0.01 (2x-3) = 0.02-2x-5 of 0.02
• 5. 3 ^ (2x-1) = 4 ^ (x + 1) + 2 ^ (2x-1) hurry up! Wrong. The first one is 3 ^ (2x + 1)
• 6. . X-Y / 2x + Y / 2x and 5 / X-5 + X / 5-x x-y/2x+y/2x 5/x-5+x/5-x 5x/x²2xy+y²-5y/x²2xy+y² x²/x²-y²-2xy/x-y+y²/x²-y²
• 7. If the sum of the coefficients in the expansion of (3x − 13x2) n is 128, then the coefficient of 1x3 in the expansion is () A. 7B. -7C. 21D. -21
• 8. Find the coefficients of (1 + x) ^ 3 + (1 + x) ^ 4 + (1 + x) ^ 5 +. + (1 + x) ^ 20 expansion with x ^ 3 term
• 9. In (x + 1) ^ 3 + (x + 1) ^ 4 + (x + 1) ^ 5 + +The coefficient of (x + 1) ^ 20 expansion with x ^ 3 term!
• 10. In the expansion of (x-1) (x + 1) 8, the coefficient of X5 is () A. -14B. 14C. -28D. 28
• 11. The maximum number can be taken from natural number 1.2.3.100, so that the sum of any four numbers can be divided by 15 Speed! process
• 12. Natural number 1.2.3... 100, how many numbers can be taken out at most, so that the sum of any four numbers can be divided by 15 Is the correct answer 6,
• 13. Among the 100 natural numbers 1-100, how many can be divisible by 3?
• 14. Simplify SiNx + cosx + sinxcosx to get the maximum value
• 15. In a rectangle of 12cm long and 5cm wide, draw the largest semicircle. The circumference of the semicircle is () cm and the area is () cm
• 16. Density calculation problem
• 17. A square, cut 6cm on one side, cut 2cm on the other side, the remaining rectangle is 68cm2 less than the original square area?
• 18. Kneel down to seek the answers to these calculation questions (1) [3 and 1 / 6 - (7.35-5 and 1 / 12) / / 1.02] / / 1 and 1 / 3 (2) [2 and 1 / 3 + (5.4-2 / 3) × 1 / 3] / / 3 and 4 / 9 (3) 1 / 5 × [(12.25 △ 4 and 1 / 6) × 77%] - 1 and 2 / 3 (4) 6.3 × [(1.4 + 1 / 3) × 1.12-1 / 6] (5) 4.3 × [(3.7-1.5) × 1.25-3] + 1 / 3 (6) 3.6 × [(1.6-2 / 3) × 1.9-7 + 3 / 8] (7) 7 / 5 × [14.8 + (3.7-1.5) × 1.25-3]
• 19. In a square piece of paper with a circumference of 100cm, cut the largest circle. What is the radius of the circle?
• 20. Given that a function is an even function defined on R, given that x ≥ 0, f (x) = x ^ 2-2x, find the monotone interval and range of the function