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A cuboid glass jar is 40cm in length, 20cm in width and 30cm in height. The water depth is 18cm. Now, an iron ball is completely immersed in the water, and the water surface rises to 25cm to calculate the volume of the iron ball
Volume = 40 x 20x (25-18)
=800x7
=5600 square centimeters
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A cuboid shaped glass container, 40cm in length, 30cm in width and 50cm in height, is filled with water
How many cm is the water surface from the mouth of the container in a cuboid container with a height of 45 cm?
45-(40×30×50)÷(60×40)
=45-60000÷2400
=45-25
=20 cm
There is a cuboid glass container measuring 40 cm in length and 35 cm in width. It is known that there is 36 cm deep water in the container. Now we need to put the container in another direction. This is the depth of the container
Does the east-west orientation change into the north-south orientation? Or 36 ah ~ 2333
If two curves y = x2 + ax + B and 2Y = - 1 + XY3 are tangent to points (1, - 1), then the values of a and B are ()
A. 0，2B. 1，-3C. -1，1D. -1，-1
Y '= 2x + A, y' | x = 1 = 2 + A for y = x2 + ax + B, y '| x = 1 = 2 + A for 2Y = - 1 + XY3, y' = Y32 − 3xy2 so y '| x = 1 = - 12 − 3 = 1, so there is 2 + a = 1, a = - 1 substituting point (1, - 1) coordinates into y = x2 + ax + B, there is - 1 = 1 + A + B, and a = - 1, so B = - 2 + 1 = - 1, so a = - 1, B = - 1, B = - 1, so D is selected
If the solution set of inequality X & # 178; + (k-1) x + 4 〉 0 is r, the value range of real number k is obtained
The solution set is r, which means that the image of quadratic function is all above the x-axis, so b-square-4ac
That is, (k-1) 2-16
How to calculate this question vertically? 24 + 35=
It's about calculation --
24
+35
-----
fifty-nine
Add the addend bit 4 and the addend bit 5 to get 9,
Add the addend ten bits 2 and the addend ten bits 3 to get 5
Given LIM (x → 1) g (x) = LIM (x → 1) H (x) = 2, and G (x) ≤ f (x) ≤ H (x), then LIM (x → 1) [2x ^ 2 + 3f (x)] =?
From the condition g (x) ≤ f (x) ≤ H (x)
Because it is continuous, this inequality holds for any point of three functions
Then when X - > 1, we can know from the pinch theorem
lim(x→1)f(x)=2
be
lim(x->1) [2x^2+3f(x)]=2+6=8
6S = 27-5t 3S + 4T = 18 the following equations are solved by the method of addition, subtraction and elimination
6s+5t=27
6s+8t=36
t=3,s=2
X in sequence 1,1,2,3,5, x, 13,... Is equal to
x=3+5=8
Index and logarithm
Xiao Ming pointed out that equation 2 ^ x = x ^ 2 has two positive real number solutions (2,4) and one negative real number solution according to the image change trend of exponential function y = 2 ^ X and quadratic function y = x ^ 2. Xiao Hui said that both sides of the equation take the logarithm with 2 as the base, and they are transformed into 2log2 ^ x = x or log2 ^ x = 1 / 2 ^ X. according to the image, we can discuss how many real number solutions x ^ 2 = 2 ^ X has. Is Xiao Hui's method correct?
Xiaohui's method is wrong. First of all, the transformation is wrong. The logarithm with 2 as the base on both sides should be x = log 2 (base) x ^ 2, and then continue to transform to x = 2 log 2 (base) | x | the logarithm should be the absolute value of X, because the logarithm itself should be positive, the original x ^ 2 is positive, but after the index 2 is advanced, it should still be positive
RELATED INFORMATIONS
- 1. A cuboid shaped glass container, 40 cm long, 30 cm wide and 50 cm high, is waterproof and 3 decimeters high. Now there is a piece of iron in it, which is completely immersed in water, and the water level is 35 cm high. How many kg of iron is put in it (7.8 kg of iron per cubic decimeter)
- 2. When a rectangular iron block with a bottom area of 4 square centimeter is put into a glass container with a bottom area of 20 square centimeter, the water in the container rises by 1 centimeter Ask for the height of the iron
- 3. As shown in Figure 1, the water depth in a closed rectangular glass tank is 3 cm. If the glass tank is placed as shown in Figure 2, how many cm is the water depth inside?
- 4. A 40 cm long, 20 cm wide and 30 cm high cuboid glass jar is 18 cm deep. Now an iron ball is completely immersed in the water, and the water surface rises to 25%
- 5. In a 6-decimeter-long, 4-decimeter-wide and 3-decimeter-high rectangular glass jar, the water depth is 2 decimeters, The water depth becomes 2. Find the volume of the iron ball
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- 7. Pour 18 liters of water into a rectangular glass tank 4 decimeters long, 3 decimeters wide and 2 decimeters high. How many decimeters is the distance between the water surface and the tank mouth?
- 8. A cuboid glass jar is 4 decimeters long, 3 decimeters wide and 5 decimeters high. After pouring water, the water depth is 3.5 decimeters, and the poured water is () liters A. 60B. 42C. 52.5
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