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3 years ago

Based on the timeline, which of the following statements is true?

Mathematics

1 answer:

Morgarella [4.7K]3 years ago

5 0

Answer:

<h2>Answer B. </h2>

Step-by-step explanation:

If you check each answer, only B works since it is the only one that would place everything correctly on the timeline

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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 $R^3$ .

Therefore Set A is linearly independent and spans $R^3$ . Thus it is basis for $R^3$ .

8 0

3 years ago

The graph of which function will have a maximum and a y-intercept of 4?

rosijanka [135]

The y-intercept of the equation is the value of the variable y or in this case, f(x), when x is equated to zero. Out of all the choices presented in this item, if x is equated to zero, the first two terms will be equal to zero, leaving the third term only for the numerical value of f(x).

From the choices presented, the answer would be f(x) = -x2 + 2x + 4. Thus, the answer is the third choice, C.

4 0

3 years ago

Read 2 more answers

Which expression is equivalent to 5 +(-3)(6x-5)

nadya68 [22]

Answer:

C. None of the above

Step-by-step explanation:

3 0

3 years ago

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Convert 5 square root of a into exponential form?

stich3 [128]

Answer:

The answer is: " $5a^\frac{1}{2}$ " .

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Step-by-step explanation:

______________________________________________

We are asked to convert "5 square root of a" ; into "exponential form".

Note that "5 square root of a" ;

or; " 5 root a " ;

means: " 5 times the {square root of the variable, "a" };

or : " 5 multiplied by the {square root of the variable, "a" }.

_______________________________________________

This can be written as: " $5\sqrt{a}$ " .

_______________________________________________

Note the following property of exponents:

$\sqrt[n]{a^m} = (\sqrt[n]{a})^m = a^m^n$ .

_____________________________________________

So; to write: " √a " ; as an exponent :

______________________________________________

Note:

" $\sqrt{a} = \sqrt[2]{a} = \sqrt[2]{a^1} = (\sqrt[2]{a})^1 = a^\frac{1}{2}$ " .

_______________________________________________

So:

" $\sqrt{a} = a^\frac{1}{2}$ " ;

_______________________________________________

And:

________________________________________________

" $5\sqrt{a} = 5a^\frac{1}{2}$ " .

________________________________________________

→ The answer is: " $5a^\frac{1}{2}$ " .

________________________________________________

Hope this helps!

Best wishes in your academic endeavors

— and within the "Brainly" community!

________________________________________________

6 0

3 years ago

Math mafff math maff

Blizzard [7]

Answer:

Figure A

Step-by-step explanation:

It just moves position and nothing else it does´t rotate or anything.

Definition of translation in math is: In Geometry, "Translation" simply means Moving ... ... without rotating, resizing or anything else, just moving.

Hopefully that is helpful to you. Have a wonderful day.

8 0

4 years ago

Read 2 more answers

Based on the timeline, which of the following statements is true?​

Based on the timeline, which of the following statements is true?