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Allushta [10]
2 years ago
5

(PLEASE HELP ASAP!!!)Micheal has five different stocks that he watches on a daily basis. The table shows the change in each stoc

k price in dollars at the end of a trading day.
What is the correct order of the rational numbers in the table from least to greatest?

A) -1.5, 2.9, -1/2, 3 3/4, 4.6

B) -1/2, -1.5, 2.9, 3 3/4, 4.6

C) -1.5, -1/2, 2.9, 3 3/4, 4.6

D) 4.6, 3 3/4, 2.9, -1/2, -1.5

Mathematics
1 answer:
inna [77]2 years ago
3 0

Answer:

C

Step-by-step explanation:

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Prove that if {x1x2.......xk}isany
Radda [10]

Answer:

See the proof below.

Step-by-step explanation:

What we need to proof is this: "Assuming X a vector space over a scalar field C. Let X= {x1,x2,....,xn} a set of vectors in X, where n\geq 2. If the set X is linearly dependent if and only if at least one of the vectors in X can be written as a linear combination of the other vectors"

Proof

Since we have a if and only if w need to proof the statement on the two possible ways.

If X is linearly dependent, then a vector is a linear combination

We suppose the set X= (x_1, x_2,....,x_n) is linearly dependent, so then by definition we have scalars c_1,c_2,....,c_n in C such that:

c_1 x_1 +c_2 x_2 +.....+c_n x_n =0

And not all the scalars c_1,c_2,....,c_n are equal to 0.

Since at least one constant is non zero we can assume for example that c_1 \neq 0, and we have this:

c_1 v_1 = -c_2 v_2 -c_3 v_3 -.... -c_n v_n

We can divide by c1 since we assume that c_1 \neq 0 and we have this:

v_1= -\frac{c_2}{c_1} v_2 -\frac{c_3}{c_1} v_3 - .....- \frac{c_n}{c_1} v_n

And as we can see the vector v_1 can be written a a linear combination of the remaining vectors v_2,v_3,...,v_n. We select v1 but we can select any vector and we get the same result.

If a vector is a linear combination, then X is linearly dependent

We assume on this case that X is a linear combination of the remaining vectors, as on the last part we can assume that we select v_1 and we have this:

v_1 = c_2 v_2 + c_3 v_3 +...+c_n v_n

For scalars defined c_2,c_3,...,c_n in C. So then we have this:

v_1 -c_2 v_2 -c_3 v_3 - ....-c_n v_n =0

So then we can conclude that the set X is linearly dependent.

And that complet the proof for this case.

5 0
3 years ago
Circle experts...help! will give brainly to most detailed answer
azamat
<h3>Answer:  161 degrees</h3>

=========================================================

Explanation:

Line AE is a tangent while line AU is a secant. The angle formed by the secant and tangent lines connects with the arcs through this formula

secant tangent angle = (larger arc - smaller arc)/2

More specifically, we can say:

angle EAI = (arc EU - arc IE)/2

42 = ( (7m+5) - (3m-1) )/2

42*2 = (7m+5) - (3m-1)

84 = 7m+5 - 3m+1

84 = 4m+6

4m+6 = 84

4m = 84-6

4m = 78

m = 78/4

m = 39/2

m = 19.5

Use this value of m to compute each arc

  • arc IE = 3m-1 = 3*19.5-1 = 57.5 degrees
  • arc EU = 7m+5 = 7*19.5+5 = 141.5 degrees

Let's say arc IU is some unknown number x. It must add to the other two arc measures to form 360 degrees, which is a full circle.

(arc IU) + (arc IE) + (arc EU) = 360

x + 57.5 + 141.5 = 360

x + 199 = 360

x = 360-199

x = 161

The measure of minor arc IU is 161 degrees

4 0
3 years ago
Read 2 more answers
7)
yuradex [85]

Answer:

9 blue marbles

Step-by-step explanation:

12 divided by 4 = 3

3x3=9

7 0
3 years ago
The distance in inches around a toy flying disc with diameter 10 inches is given by the expression pie times 10. Evaluate this e
boyakko [2]

Answer:

pi*10 = 3.14*10 = 31.4 inches

8 0
3 years ago
What is the equivalent expression for 8w - 16?
Maslowich

Answer:

8(w - 2)

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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