An importance of mathematical proofs is that they elucidate on why a conjecture is false (untrue).
<h3>The importance of mathematical proofs.</h3>
Generally, some of the importance of mathematical proofs include the following:
- They elucidate on why a conjecture is false (untrue).
- It provides a rational and logical justification for a theory.
In geometry, some of the consequences of the inaccuracy in the conclusion within a proof are:
- It leads to the misinterpretation of concepts and theories.
- It produces wrong results.
Outside the world of geometry, there are different kinds of proofs and these include:
- The Big Bang theory.
- Reflection of light by a plane mirror.
- Surface tension in water.
Basically, if there were to be an unjustified conclusion in the proofs above, the study of the properties of matter might not be possible. Also, the end users of various materials are most likely to be affected.
Read more on proofs here: brainly.com/question/26283907
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We can deduce that the graph is a negative parabola from
-0.002x^2. Therefore, the graph is increasing < 1250 and decreasing > 1250.
P(x) is increasing from

and decreasing from
![(1250,\infty]](https://tex.z-dn.net/?f=%281250%2C%5Cinfty%5D)
.
You can skip 4 in that equation and you'll be left with 2x+12=0, which gives you 2x=-12 and finally, x=-6
Answer:
25π or 78.5mm²
Step-by-step explanation:

If my calculations are correct the answer is 21 ft