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Leokris [45]
3 years ago
12

Is the statement [x]=[x+1] true for all real numbers? explain

Mathematics
2 answers:
mash [69]3 years ago
5 0
No becuase some statements could actually be equal
krok68 [10]3 years ago
5 0

Answer:

The Edg answer is as follows -

The statement is not true for all real numbers. It is only true for decimal or fractional values of x .

If x is an integer, then the ceiling function returns x when the input is x . But, the flooring function returns x + 1 when the input is x + 1.

Since x does not equal x + 1 when x is an integer, the expressions are not equal when x is an integer.

Step-by-step explanation:

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You just simply divide 7 by 30. The answer would be 0.233333
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3 years ago
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In his free time Gary spends 10 hours per week on the internet and 9 hours per week on video games. If Gary has 5 hours of free
cluponka [151]

Answer:

Percentage of free time Gary spends on playing video games and using internet = 54.29%

Step-by-step explanation:

Given:

Gary spends 10 hours per week on the internet.

Gary spends 9 hours per week on video games.

Gary has 5 hours free time per day.

To find the percentage of free time Gary is using to play video game and use the internet.

Solution:

Total number of hours of free time Gary has per week = 5\times 7=35

<em>[As there are 7 days in a week so we multiply by 7]</em>

Total number of hours of free time Gary spends on playing video games and using internet per week = 10+9=19

Percentage of free time Gary spends on playing video games and using internet per week can be calculated as :

⇒ \frac{\textrm{Total time spent on playing video games and using internet per week}}{\textrm{Total free time in a week}}\times 100

⇒ \frac{19}{35}\times 100

⇒ 54.29% (Answer)

4 0
3 years ago
Given that the hypotenuse of this right triangle is 25 cm long and that tan(θ) = 3find the values of x and y, accurate to the ne
lara31 [8.8K]
The tangent of an angle is the opposite side divided by the adjacent side of the triangle, relative to the angle. By tan theta = 3, it means that, the adjacent side is thrice as long as the opposite side.

3a = o

Then, using Pythagorean's theorem:

25² = a² + o²
Substituting o,
25² = a² + (3a)²
25² = a² + 9a²
25² = 10a²
a = 7.9 cm

Then, 3(7.9) = o = 23.7 cm

So, the opposite side is 23.7 cm and the adjacent side is 7.9 cm.
4 0
3 years ago
Read 2 more answers
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