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How many non-square numbers lie between the squares of 12 and 13?
Answer
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Hint: Here, we can see that 12 and 13 are consecutive numbers. So, all numbers between squares of 12 and 13 are non-square numbers. Therefore, first find squares of 12 and 13 and then subtract square of 12 from square of 13, we get numbers of non-square numbers. At the last subtract 1 from the result obtained as both extremes numbers are not included.
Complete step-by-step answer:
In these types of questions, a simple concept of numbers should be known that is between squares of two consecutive numbers all numbers are non-square numbers. Also one tricky point should remember that whenever we find the difference between two numbers we get a number of numbers between them including anyone of the extreme numbers. So we subtract 1 to exclude both extreme numbers.
Square of 12 = 122=144 and square of 12 = 132=169
As 12 and 13 are consecutive numbers so all numbers between their squares will be non-square numbers.
Therefore, 169 – 144 = 25
Total number of numbers between 169 and 144 (i.e., excluding 144 and 169) = 25 – 1 = 24.
Explanation:
Brian least po please
To solve this problem we will apply the principle of buoyancy of Archimedes and the relationship given between density, mass and volume.
By balancing forces, the force of the weight must be counteracted by the buoyancy force, therefore




Here,
m = mass
g =Gravitational energy
The buoyancy force corresponds to that exerted by water, while the mass given there is that of the object, therefore

Remember the expression for which you can determine the relationship between mass, volume and density, in which

In this case the density would be that of the object, replacing

Since the displaced volume of water is 0.429 we will have to


The density of water under normal conditions is
, so


The density of the object is 
Physical Science is the study of non-living systems, as opposed to a study of biological sciences or living systems. It consists of physics, chemistry, astronomy and earth science. It also includes scientific method and experimentation
Complete Question
The complete question is shown on the first uploaded image
Answer:
The total pressure is 
The temperature at the bottom is 
Explanation:
From the question we are told that
The length of the glass tube is 
The length of water rise at the bottom of the lake 
The depth of the lake is 
The air temperature is 
The atmospheric pressure is 
The density of water is 
The total pressure at the bottom of the lake is mathematically represented as

substituting values


According to ideal gas law
At the surface the glass tube not covered by water at surface

Where is the volume of

At the bottom of the lake

Where
is the volume of the glass tube not covered by water at bottom
and
i the temperature at the bottom
So the ratio between the temperature at the surface to the temperature at the bottom is mathematically represented as

substituting values

=> 