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Talja [164]
3 years ago
8

How many ounces are in 1/4 pound of ointment

Mathematics
2 answers:
Dmitriy789 [7]3 years ago
6 0

C.4 ounces is the correct answer

My reasoning - 16 ounces in a lb

Iteru [2.4K]3 years ago
3 0
C. 4 ounces of ointment
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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

<u>Definition (Linear Independence)</u>

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.

<u>Definition (Span of a Set of Vectors)</u>

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

<u>Definition (A Basis of a Subspace).</u>

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
Is the equation 8 + 4= -5 + 7 true false or open and why
zysi [14]
This is false, because the equation is then 12=2, which is incorrect.

Hope this helps!

~ThePirc
4 0
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Mary wants to fill in a cylinder vase. At the flower store they told her that the vase should be filled 3/4 for the flowers to l
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A negative number minus a positive number is always negative true or false?
MariettaO [177]

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False

Step-by-step explanation:

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Item 7 Question 1 Select the equation that represents the question. What percent of 300 is 51? 300=51×p 51=p×300 300=p×51 p=300×
notka56 [123]

Answer:

51 = p×300

p = 17%

Step-by-step explanation:

Let p be the value of the percentage.

To find the percentage;

51/300 = p

51 = p * 300

Therefore, p = 0.17

Percentage represents a 100;

P = 0.17 * 100

P = 17%

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