The sum of 2 ^ 2007 and 2007 ^ 1 divided by 7 is the remainder 2^007

The sum of 2 ^ 2007 and 2007 ^ 1 divided by 7 is the remainder 2^007


2^3mod7=1
(2^2007+2007^1)mod7=1+2007mod7=2008mod7=6
The remainder is six



*What is the remainder of 1 + 2! * 2 + 3! * 3 +... + 250! * 250 divided by 2008?


1! * 1 + 2! * 2 + 3! * 3 +... + 250! * 250 = 1! * (2-1) + 2! * (3-1) + 3! * (4-1)... + 250! * (251-1) = 2! - 1! + 3! +... + 251! - 250! = - 1! + 250! = 251! - 1 because the mantissa of 251! Is 0, the mantissa of 251! - 1 is 10-1 = 9. Because 251! = 251 * 250 *... * 8 *... 2 * 12008 = 251 * 8, the mantissa of 251! = 251 * 8



If you divide a two digit number by 7, the quotient and remainder are the same. The minimum of the two digits is______ The biggest is______ .


When the minimum remainder is 1: 7 × 1 + 1 = 8; 8 is not a two digit number, we increase the remainder to 2, 7 × 2 + 2 = 16; when the maximum remainder is 6: 7 × 6 + 6 = 48



Can the square of 2 (x-2y) - the square of 3 (2y-x) merge similar terms?


Yes
2(x-2y)^2-3(2y-x)^2
=2(x-2y)^2-3(x-2y)^2
=-(x-2y)^2



What symbol would three nines use to equal 11
9 9 9 =11


But the answer above is to merge two nines into 99, which seems to be inconsistent with the meaning of the question. Similarly, we can regard the question as a sharp brain turn, take one of the 11 ones in front and merge with a 9, and then fill in the symbol. 19-9-9 = 1



There is no intersection between the image of a certain function and the line y = 3x-5. For the line 2x-y = 1, the abscissa of the intersection is 2. Find the analytic expression of this function
The line y = - 4 / 3 + 3 passes through the line after translation, and the intersection point of y = - 3x-5. Find the analytic graph of the function after translation


There is no intersection between the image of the secondary function and the line y = 3x-5, which indicates that the slope is 3. For the intersection of the line 2x-y = 1, the abscissa is 2, and substituting 2 into 2x-y = 1, we get y = 3. The analytic formula of the line passing through the point (2,3) is: Y-3 = 3 (X-2), that is, y = 3x-3. There is a mistake in the second question!



There is a cuboid wood whose edge lengths are 3DM, 4dm and 5DM respectively. This wood is processed into the largest cylinder. What is the volume of this cylinder


4 △ 2 = 2 decimeters
The volume of this cylinder is: 3.14 × 2 & # 178; × 3 = 37.68 cubic decimeter



5.6.8.10 how to calculate 24 o'clock


( ( 5 × 6 ) ÷ 10 ) × 8 8 ÷ ( 10 ÷ ( 5 × 6 ) ) ( ( 5 × 6 ) × 8 ) ÷ 10 ( 5 × 6 ) ÷ ( 10 ÷ 8 ) ( 5 × 6 ) × ( 8 ÷ 10 ) ( ( 8 - 5 ) × 10 ) - 6 ( ( 5 × 8 ) - 6 ) - 10 ( ( 5 × 8 ...



Given the function f (x) = 1 / 3x ^ 3-bx ^ 2 + 2x + A, x = 2 is an extreme point of F (x). If the line y = 2x is tangent to the image of the function, the value of a is obtained


F '(x) = x ^ 2-2bx + 2, x = 2 is the root of F' (x) = 0, 2b = 3, let x ^ 2-3x + 2 = 2, then x = 0,3,
X = 0. Y = 0, f (x) = 0, a = 0
X = 3, y = 6, a = - 3 / 2
In conclusion, a = 0 or - 3, 2



0.2 cubic decimeter = how many cubic meters?


1 cubic meter = 10 * 10 * 10 cubic decimeter = 1000 cubic decimeter
Therefore, 0.2 cubic decimeter = 0.2 / (10 * 10 * 10) cubic meter = 0.0002 cubic meter