What is the purpose of proof in mathematics?

Answers

Answer 1
Answer:

The mathematical proofs are useful to show that a mathematical statement is true. Generally a mathematical proof use other statements like theorems, or axioms. Also mathematical proofs are useful to know if the development of a theoretical process in other areas like physics is well done. Other thing that is useful of the proofs in mathematics is that it use a formal language  with symbols that minimize the ambiguity and make it universal.


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9,058 to the nearest thousand

Answers

Answer: 9000

This is because the given value is closer to 9,000 than it is to 10,000.

The digit in the thousands place is 9. The digit to the right of this is 0, which is not 5 or greater. So we round down to the nearest thousand. So basically everything after the 9 is replaced with 0.

9000 would be the correct answer because it is closer to 9000 than it is 10,000

Convert 2 2/3 into an improper fraction​

Answers

Answer: 8/3

Step-by-step explanation:

Find x. Round to the nearest tenth if needed.

Answers

Answer:

x = 16

Step-by-step explanation:

Use that the addition of all internal angles of a triangle must add up to 180, and the fact that the two given triangles are similar:

51 + 65 + 4 x = 180

combine and solve for "x"

116 + 4 x = 180

4 x = 180 - 116

4 x = 64

x = 64 / 4

x = 16

Answer:

x = 16

Step-by-step explanation:

A triangle is 180 degrees. Since two of the angles are congruent to each other, the third angle must be congruent as well. This means that the third measure for both triangles is 4x. Knowing all of this, we can solve for x:

65 + 51 + 4x = 180

116 + 4x = 180

4x = 64

x = 16

(4 to the 4th power)to the 3rd power​

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4^7 (4 to the 7th power)

HELP! i'll mark you brainliest . find y

Answers

Answer: Thanks for points by the way what grade are you in ???

Step-by-step explanation:

a clear liquid from a flask is poured into another clear liquid in a beaker . which of the following resulted of this procedure would indicate a new substance was formed ?

Answers

Answer:

b

Step-by-step explanation:

the answer is b because both were clear liquids and now they turned yellow change in color is part of chemical reactions so b is correct

Final answer:

When a clear liquid is poured into another clear liquid, indications of a new substance having been formed include changes such as color alteration, temperature shift, gas bubble formation, precipitate occurrence, and changes in properties.

Explanation:

The question is asking about the observation that would indicate a new substance was formed when a clear liquid from a flask is poured into another clear liquid in a beaker. In chemistry, when two substances interact to form a new substance, it's called a chemical reaction. There are several indicators that a chemical reaction has occurred. These include: a change in color, a change in temperature (the mixture gets hotter or colder), the formation of gas bubbles, the formation of a precipitate (a solid that forms and settles out of a liquid mixture), and a change in properties (such as viscosity, odor, or taste).

Now applying this understanding to the question, pouring a clear liquid into another clear liquid and if any of the above mentioned changes occurs then we can safely conclude that a new substance has been formed. For example, if the clear liquid mixture changes color, heat is felt, gas bubbles are formed or a solid precipitate settles at the bottom, these are undeniable signs of a new substance resulting from a chemical reaction.

Learn more about Chemical Reaction here:

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