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Zina [86]
3 years ago
14

What is the relationship between a conjecture, a theorem, and a two-column proof?

Mathematics
1 answer:
Bad White [126]3 years ago
5 0
<span>mathematics, a proof is a deductive argument for a mathematical statement. In the argument, other previously established statements, such as theorems, can be used. In principle, a proof can be traced back to self-evident or assumed statements, known as axioms.(2)(3)(4) Proofs are examples of deductive reasoning and are distinguished from inductive or empirical arguments; a proof must demonstrate that a statement is always true (occasionally by listing all possible cases and showing that it holds in each), rather than enumerate many confirmatory cases. An unproven statement that is believed true is known as a conjecture.
 
Proofs employ logic but usually include some amount of natural language which usually admits some ambiguity. In fact, the vast majority of proofs in written mathematics can be considered as applications of rigorous informal logic. Purely formal proofs, written in symbolic language instead of natural language, are considered in proof theory. The distinction between formal and informal proofs has led to much examination of current and historical mathematical practice, quasi-empiricism in mathematics, and so-called folk mathematics (in both senses of that term). The philosophy of mathematics is concerned with the role of language and logic in proofs, and mathematics as a language</span>
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Help Plz Due Tmrw. ......​
romanna [79]

Answer:

i´ll help here

the smallest is (-3)^0

the second smallest or biggest is 16^1/2

the biggest one is (1/27)^-1/3

Step-by-step explanation:

hope this is correct

4 0
3 years ago
Read 2 more answers
What is the value of w in this equation? <br><br> 15 + w = 75
uranmaximum [27]

Answer:

w=60

Step-by-step explanation:

15+w=75

Subtract 15 from both sides of the equation.

15+w-15=75-15

w=60

6 0
3 years ago
Read 2 more answers
Finding the areas of each of the rectangles and squares of the net of a rectangular prism and adding up those areas gives the su
Juliette [100K]

Complete question is;

Finding the areas of each of the rectangles and squares of the net of a rectangular prism and adding up those areas gives the surface area or total surface area of the prism. For example, if the length of one side of the cube 4 units then the area of one its face is 4 × 4 = 16 square units. From the net, we can see that there are six equal faces and so we get the total surface area is 6 × 16 = 96 square units.

Find the total surface area of the rectangular prism attached.

Answer:

72 cm²

Step-by-step explanation:

From the rectangular prism attached, we can see that it has 6 sides.

Now, each side has a mirrored part which is of same dimensions with it.

Thus, unfolding to get a net, we have;

2 faces with dimension: 3cm × 6cm

2 faces with dimension: 2cm × 6 cm

2 faces with dimension: 2cm × 3cm

Thus,total surface area is;

2(3cm × 6cm) + 2(2cm × 6cm) + 2(2cm × 3cm) = 36 + 24 + 12 = 72 cm²

7 0
3 years ago
Please Help me it’s geometry
mote1985 [20]

Answer:

Option C.

Step-by-step explanation:

Given: In \Delta OPQ,m\angle O=107^{\circ},m\angle P=28^{\circ}.

In \Delta OPQ,

m\angle O+m\angle P+m\angle Q=180^{\circ}    (Angle sum property)

107^{\circ}+28^{\circ}+m\angle Q=180^{\circ}

135^{\circ}+m\angle Q=180^{\circ}

m\angle Q=180^{\circ}-135^{\circ}

m\angle Q=45^{\circ}

Now,

m\angle O>m\angle Q>m\angle P

In a triangle, the greatest angle has largest opposite side and smallest angle has smallest opposite side. So, we conclude that

PQ>OP>QO

Therefore, the correct option is C.

7 0
3 years ago
Help ASAP!!What is the volume of our planet if we assume that it is a sphere with the radius 3, 950miles? Round your answer to t
zloy xaker [14]

Answer: 258023743333miles³

Step-by-step explanation:

Volume of a sphere = 4/3πr³.

where,

π = 3.14

r = radius = 3950

Volume of a sphere = 4/3πr³.

= 4/3 × 3.14 × 3950³

= 4/3 × 3.14 × 61629875000

= 258023743333miles³

The volume of our planet if we assume that it is a sphere with the radius 3,950miles will be 258023743333miles³

8 0
3 years ago
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