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Iteru [2.4K]
3 years ago
13

PLEASE HELP!!!

Mathematics
1 answer:
quester [9]3 years ago
7 0

Answer:

18

Step-by-step explanation:

because the number of people that can swim will be about quarter out of hundred

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Could a set of three vectors in ℝ^4 span all ℝ^4? Explain. What about n vectors in ℝ^m when n is less than m?
Elena-2011 [213]

Answer:

Check the ecplanation

Step-by-step explanation:

A set of three vectors in R^{4} represents a matrix of 3 column vectors, and each vector containing 4 entries (that is, a matrix of 4 rows, and 3 columns).

Let A be that 4x 3 matrix. The columns of A span R^{m}. if and only if A has a pivot position in each row. So, there are at most 3 pivot positions in the matrix A, but the number of rows is 4, therefore, there exist at least one row not having a pivot position. If A does not have a pivot position in at least one row, then the columns of A do not span R^{4}. It implies that the set of 3 vectors of A does not span all of R^{4}.

In general, the set of n vectors in R^{m} represents a matrix of in rows, and n columns (an in x matrix). So, there are at most n pivot positions in the matrix A, but n is less than the number of rows. In therefore, there exist at least one row that does not contain a pivot position.

And, hence the set of n vectors of A does not span all of R^{m}. for n < m

8 0
3 years ago
Thanks for any help provided to my question! &lt;3<br>5m + 2(m + 8) + 3
disa [49]
5m+2(m+8)+3
5m+2m+16+3
7m+19
3 0
3 years ago
HELPPP ME ASAPPPP PLEASEEE!!
kaheart [24]

y = 90°

Solution:

The reference image for the answer is attached below.

The sum of opposite interior angles is equal to the exterior angles.

m∠BAC + m∠ACB = 110°

m∠BAC + 70° = 110°

m∠BAC = 110° –  70°

m∠BAC = 40°

m∠BAD + m∠DAC = 40°

x + x = 40°

2x = 40°

Divide by 2 on both sides of the equation.

x = 20°

In triangle DAC,

Sum of all the angles of a triangle = 180°

m∠DAC + m∠ACD + m∠CDA = 180°

20° + 70° + m∠CDA = 180°

90° + m∠CDA = 180°

m∠CDA = 180° – 90°

m∠CDA = 90°

∠CDA and y lies on the straight line. So they form a linear pair.

y + m∠CDA = 180°

y + 90° = 180°

y = 180° – 90°

y = 90°

The value of y is 90°.

7 0
3 years ago
Sarah bought a bike that cost $260. she had a coupon that was worth $55 off the cost of any bike. use the expression 260 + (-55)
mel-nik [20]

Answer:

Well, you can't add $55 on a coupon or it would cost more.

Step-by-step explanation:

Just subtract 260 by 55.

260 - 55 = $205 for the bike.

5 0
3 years ago
What is the standard deviation of this data set?<br> 12, 14, 9, 11, 10, 15, 16, 12, 7, 14
Tju [1.3M]

Answer:

The standard deviation is 2.6832815729997

Step-by-step explanation:

SD^2=(12-12)^2+...+(14-12)^2/10

SD^2=72/10

SD^2=7.2

SD=squeare root of 7.2

SD=2.6832815729997

4 0
2 years ago
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