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aev [14]
2 years ago
12

Determine whether the following statements are True or False.

Mathematics
1 answer:
Stella [2.4K]2 years ago
6 0

Answer:

1) False

2) False

3) True

4) False

Step-by-step explanation:

1) Flase, {v1,v2,v3, ..., vp} is a base for H when they span H and also they are linearly independent.

2) False. A single nonzero vector is linearly independent , not dependent. There is not null linear combination that gives 0 as a result involving that vector.

3) True, if the columns werent linearly independent, we could triangulate the matrix and obtain 0, so the matrix wouldnt be invertible. This means that the columns should be linearly independent for the matrix to be invertible and as a consecuence, they will spam a subspace of R^n of dimension n, which means that they will spam all R^n and therefore, they form a basis of R^n.

4) False. A basis is a spanning set that is as small as possible. Larger spanning sets will have extra elements apart from those who can form a base toguether. Those elements will make the set linearly dependent.

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) Turner helped his grandfather build a raised garden bed for Turner's grandmother. The
worty [1.4K]

The length of the garden bed is 6 feet

<h3>The volume of a rectangular prism</h3>

The formula for calculating the volume of a rectangular prism is expressed as:

V = lwh

If turner and his grandfather used 18 bags of topsoil, each containing 3/4 of a cubic foot, to fill the bed completely, hence;

V = 3/4 * 18

V = 13.5 cubic foot

In order to determine the length of the garden;

135/10 = 9/2 * 1/2l

27/2 =9/4 l

18l = 27 * 4

18l = 108

l = 6 feet

Hence the length of the garden bed is 6 feet

Learn more on volume of rectangular prism here: brainly.com/question/24284033

5 0
1 year ago
What is the multiplicative rate of change of the function shown on the graph? Express your answer in decimal form. Round to the
allsm [11]
In linear models there is a constant additve rate of change. For example, in the equation y = mx + b, m is the constanta additivie rate of change.


In exponential models there is a constant multiplicative rate of change.


The function of the graph seems of the exponential type, so we can expect a constant multiplicative exponential rate.


We can test that using several pair of points.


The multiplicative rate of change is calcualted in this way:

 [f(a) / f(b) ] / (a - b)

Use the points given in the graph: (2, 12.5) , (1, 5) , (0, 2) , (-1, 0.8)

[12.5 / 5] / (2 - 1) = 2.5


[5 / 2] / (1 - 0) = 2.5


[2 / 0.8] / (0 - (-1) ) = 2.5


Then, do doubt, the answer is 2.5





6 0
3 years ago
Read 2 more answers
Please help me out please
Elanso [62]

Answer:

400 units³

Step-by-step explanation:

The volume (V) of the square pyramid is

V = \frac{1}{3} area of base × height (h)

where h is the perpendicular height.

Consider the right triangle formed by a segment from the vertex to the midpoint of the base and the slant height ( the hypotenuse )

Using Pythagoras' identity on the right triangle

h² + 5² = 13²

h² + 25 = 169 ( subtract 25 from both sides )

h² = 144 ( take the square root of both sides )

h = \sqrt{144} = 12

Area of square base = 10² = 100, hence

V = \frac{1}{3} × 100 × 12 = 4 × 100 = 400

7 0
2 years ago
Tina babysat eight times. She earned $15, $20, $10, $12, $20, $16, $80, and $18. What is the average amount of money she made?
AleksAgata [21]
The mean is 23.875. That would be roughly $24 each time

6 0
2 years ago
Read 2 more answers
A teacher wants to calculate a class average on the last test. One student made a significantly lower score than the rest of the
BigorU [14]
The answer is C. You would use MEAN because it gives you the average although it doesn't always have to be a whole number. Therefore despite that one student performing badly won't affect the rest of the class.
Again hope this helps : )
4 0
3 years ago
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