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4 years ago

Which term best describes the statement given below?

Mathematics

2 answers:

serg [7]4 years ago

6 0

Answer:

Option B

Step-by-step explanation:

Consider statements :

If a figure is a rectangle , (p)

then it is a quadrilateral. (q)

Contrapositive statement :

If $\sim$ q then $\sim$ p

If a figure is not a quadrilateral then it is not a rectangle .

Inverse Statement :

If $\sim$ p then $\sim$ q

If a figure is not a rectangle then it is not a quadrilateral .

Converse Statement :

If q then p

If a figure is a quadrilateral then it is a rectangle

Syllogism:

is a form of reasoning in which a conclusion is drawn from two given propositions

Given Statement: If $p\geq q\,,\,q\geq r$ then $p\geq r$

Therefore, option B is correct as conclusion $p\geq r$ is drawn from two statements $p\geq q\,,\,q\geq r$

GarryVolchara [31]4 years ago

3 0

B is as it is a logical form of reasoning. if a=50, b=30, c=20
if a > b and b > c then a > c

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Games with this rating contain content which the ESRB believes is generally suitable for those aged 17 years and older.

snow_lady [41]

Answer:

C. Mature 17+

Step-by-step explanation:

These games are usually not recommended at all for anyone below the age of 17 because these pieces of content include:

Violence

Smoking

References To Smoking

Blood

Language

Sexual Content

These are just a few of the topics these types of games may include.

6 0

3 years ago

Determine whether the set of vectors is a basis for ℛ3. Given the set of vectors , decide which of the following statements is t

schepotkina [342]

Answer:

(A) Set A is linearly independent and spans $R^3$ . Set is a basis for $R^3$ .

Step-by-Step Explanation

Definition (Linear Independence)

A set of vectors is said to be linearly independent if at least one of the vectors can be written as a linear combination of the others. The identity matrix is linearly independent.

Definition (Span of a Set of Vectors)

The Span of a set of vectors is the set of all linear combinations of the vectors.

Definition (A Basis of a Subspace).

A subset B of a vector space V is called a basis if: (1)B is linearly independent, and; (2) B is a spanning set of V.

Given the set of vectors $A= \left(\begin{array}{[c][c][c][c]}1 & 0 & 0 & 0\\ 0 & 1 & 0 & 1\\ 0 & 0 & 1 & 1\end{array} \right)$ , we are to decide which of the given statements is true:

In Matrix $A= \left(\begin{array}{[c][c][c][c]}(1) & 0 & 0 & 0\\ 0 & (1) & 0 & 1\\ 0 & 0 & (1) & 1\end{array} \right)$ , the circled numbers are the pivots. There are 3 pivots in this case. By the theorem that The Row Rank=Column Rank of a Matrix, the column rank of A is 3. Thus there are 3 linearly independent columns of A and one linearly dependent column. $R^3$ has a dimension of 3, thus any 3 linearly independent vectors will span it. We conclude thus that the columns of A spans $R^3$ .