100 points for a simple math problem! Nail a 2 cm thick wooden box with 1 m long, 60 cm wide and 50 cm high outside. What's the volume of this wooden box?

(100-4) * (60-4) * (50-2) = 258048 CC

1. A water accumulation line has been built 240 meters, and the rest is 2 / 3 more than the one already built. How many meters is the total length of this water accumulation line?
2. Xiaoming read a book. He read 1 / 4 of the whole book on the first day and 2 / 5 of the whole book on the second day. There are 98 pages left. How many pages are there in the whole book?
3. There is a round flower bed with a circumference of 31.4 meters. Now a 0.5 meter wide path is paved along the perimeter of the flower bed. What is the area of the path?
4. There are 320 red flag, white flag and black flag. The ratio of red flag to white flag is 5
5. 2 / 5 of a number is 1 more than 9 / 10 of 5 / 6. What's the number?
6. The number of black flag is 3 / 10 of that of white flag. How many more red flag than black flag?
Quick. Who was the first to answer, and (the process is clear) I gave a high score. I think the score is less than 40 points. If I see that your answer is very good, I give 100 points, which must satisfy me. Today, tomorrow is no chance
There are 320 red flag, white flag and black flag. The ratio of red flag to white flag is 5:6. The number of black flag is 3 / 10 of white flag. How many more red flag than black flag?
Sorry, wrong number!

1.240 + (1 + 2 / 3) 240 = 6402.98 / (1-1 / 4-2 / 5) = 2803. R circle = 31.4 / 6.28 = 5S = 3.14 (5.5 ^ 2-5 ^ 2) = 16.4854. Incomplete 5. Let this number be x2 / 5 * X-1 = (5 / 6) 9 / 10x = 35 / 86

1 / 2 + 5 / 6 + 11 / 12 + 19 / 20 + 9701 / 9702 + 9899 / 9900

1 of 2 + 5 of 6 + 11 of 12 + 19 of 20 +. + 9701 of 9702 + 9899 of 9900 = (1-1 / 2) + (1-1 / 6) + (1-1 / 12) + (1-1 / 20) +. + (1-1 / 9702) + (1-1 / 9900) = - (1 / 2 + 1 / 6 + 1 / 12 + 1 / 20 +. + 1 / 9702 + 1 / 9900) + 99 * 1 = - [1 / (1 * 2) + 1 / (2 * 3) + + 1 / (3 * 4) + 1 / (4 * 5) +. + 1 / (...)

It is known that the quadratic function f (x) satisfies f (1 + x) = f (1-x), and f (0) = 0, f (1) = 1. If x ∈ [M, n], the range of F (x) is also [M, n]. Find m, n

From F (1 + x) = f (1-x), it can be seen that the symmetry axis of quadratic function f (x) is x = 1, and because f (0) = 0, f (1) = 1, then f (x) = - (x-1) 2 + 1 ≤ 1, n ≤ 1, f (x) increases monotonically in the interval [M, n], f (m) = MF (n) = n, that is − M2 + 2m = m − N2 + 2n = n, and m < n, so m = 0, n = 1; so the answer is 0, 1

Quadratic function f (x) = 3x & # 178; - 6x + 7, when x=_ The minimum value of F (x) is 0__

Quadratic function f (x) = 3x & # 178; - 6x + 7, when x=___ 1____ The minimum value of F (x) is 0_____ 4___
f(x)=3x²-6x+7
=3(x²-2x+1)+4
=3(x-1)²+4
When x = 1, there is a minimum value of 4
If you don't understand, please continue to ask
If you ask questions from your mobile phone, just click "satisfied" in the upper right corner of the client

Given that f (x) + 2F (- x) = 3x + X & # 178;, finding f (x) is a process

Substituting - x as an independent variable, we get f (- x) + 2F (x) = - 3x + X & # 178;
By adding the two formulas, we get 3f (x) + 3f (- x) = 2x & # 178;
It is reduced to f (x) + F (- x) = 2 / 3x & # 178;
Multiply the final formula by 2 to get: 2F (x) + 2F (- x) = 4 / 3x & # 178;
By subtracting the final formula from the known formula in the title, we can get f (x)

It is known whether the quadratic function f (x) = - 1 / 2x & # 178; + X + 4 has a closed interval [M, n] (m < n) such that the range of value of function y = f (x) is exactly [2m, 2n]. If it exists, find out the value of M, N. if it does not exist, please explain the reason

f(x)=-1/2x²+x+4
The interval is [M, n], and the range is [2m, 2n]
f(m)=(-1/2)m²+m+4=2m,(m+4)(m-2)=0,m1=-4,m2=2
f(n)=(-1/2)n²+n+4=2n,n1=-4,n2=2.
m

Given the quadratic function f (x) = x2-kx-1, (1) if f (x) is a monotone function in interval [1,4], find the value range of real number k; (2) find the minimum value of F (x) in interval [1,4]

(1) ∵ (x) = x2-kx-1, ∵ axis of symmetry x = K2, if f (x) is a monotone function in the interval [1,4], ∵ K2 ≥ 4, or K2 ≤ 1, ∵ K ≥ 8 or K ≤ 2; (2) when k ≥ 8, f (x) decreases in [1,4], ∵ f (x) min = f (4) = 15-4k, when k ≤ 2, f (x) increases in [1,4], ∵ f (x) decreases in [1,4], ∵ f (x) min = f (4) = 15-4k

It is known that the quadratic function f (x) = ax & # 178; + BX + C satisfies f (- 1) + F (2) = 0, and the maximum value is 9
(1) Find the analytic expression of F (x) (2) if the moving point P (x, y) is on the image of quadratic function f (x), and above the line y = 5, the sum D of the distances from point P to the line x = - 1 and to the line y = 5 is the largest, find the value of P coordinates and D

There is no unique solution
From the maximum, we can see that A0 f (- 1)

1. If the quadratic function f (x) = ax & # 178; + BX + C (a ≠ 0) satisfies f (3 + T) = f (3-T), then the relationship between F (1) and f (5) is ()
What should we pay attention to in this type of problem? 2. Given that the image of the first-order function y = KX + B is symmetric about the origin, then the image of the second-order function y = ax & # 178; + BX + C is symmetric about (),

Answer: 1) parabola f (x) = ax & # 178; + BX + C satisfies f (3 + T) = f (3-T) f (1) = f (3-2) f (5) = f (3 + 2) = f (3-2) = f (1) so: F (1) = f (5) known quadratic function f (x) = ax & # 178; + BX + C (a ≠ 0) satisfies f (3 + T) = f (3-T), then the size relationship between F (1) and f (5) is (equal) 2) linear function y

100 points for a simple math problem! Nail a 2 cm thick wooden box with 1 m long, 60 cm wide and 50 cm high outside. What's the volume of this wooden box?