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bezimeni [28]
3 years ago
11

The rumor​ "People who study math all get​ scholarships" spreads within a technical high school. Data in the following table sho

w the number of students N who have heard the rumor after t days.

Mathematics
1 answer:
Nonamiya [84]3 years ago
5 0

Answer:

All is Solved in the attached picture.

For (b), the limiting value of the logistic growth function appears to be 29.47232081 but since the model deals with people, the limiting value requires to be rounded off. Thus the limiting value of the growth function is 29 people.

Finally, the physical interpretation of the mathematical can be interpreted as that eventually the population does not change.

Step-by-step explanation:

See picture solution

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(1) Let {v1,v2,v3} be a set of vectors in Rn . If u is Span {v1,v2,v3}, show that 3u is in Span {v1,v2,v3}.
Evgesh-ka [11]

Answer:

(1)

Multiplying by 3 both sides of the equality you get that

3u = 3c_1v_1+3c_2v_2+3c_3v_3

3u  is in the Span of the vectors \{v_1,v_2,v_3\}.

(2)

That's not true, consider the following counter example.

v_1 = (0,0,0,1)\\v_2 = (0,0,1,0)\\v_3 = (0,1,0,0)\\v_4 = (1,0,0,0)\\u = (0,1,1,1)

u is a linear combination of v_1,v_2,v_3 but is NOT a linear combination of v_1,v_2,v_3,v_4.

Step-by-step explanation:

(1)

As the hint indicates, you know that

u = c_1 v_1 + c_2v_2+c_3v_3

Then, if you multiply both sides of the equality by 3, you get that

3u = 3c_1v_1+3c_2v_2+3c_3v_3

And that's it. 3u  is in the Span of the vectors \{v_1,v_2,v_3\}

(2)

That's not true, consider the following counter example.

v_1 = (0,0,0,1)\\v_2 = (0,0,1,0)\\v_3 = (0,1,0,0)\\v_4 = (1,0,0,0)\\u = (0,1,1,1)

u is a linear combination of v_1,v_2,v_3 but is NOT a linear combination of v_1,v_2,v_3,v_4.

4 0
3 years ago
I NEED HELP!! How do you get the answer? I know it's A or B,because of the inequality
guapka [62]
I believe that your answer would be A. y < -294
6 0
3 years ago
Read 2 more answers
Pllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllzzzzzzzzzzzzzzzzzzzzzz
Brrunno [24]

Answer:

i=7.6h, 60.8 inches (B)

Step-by-step explanation:

4 0
3 years ago
The results of a survey show that baseball is the favorite sport for 18 out of
DENIUS [597]

Answer:

72%

Step-by-step explanation:

18÷25=0.72

0.72 x 100= 72

5 0
3 years ago
Geometry What’s the answer to 5x-6y= 33 and 2x+y = -14
V125BC [204]

Answer:

X=-3 y=-8

Step-by-step explanation:

5x - 6y = 33 \\ y  =  - 14 - 2x \\

Put the second one in first

5x - 6( - 14 - 2x) = 33 \\ 5x + 84 + 12x = 33 \\ 17x = -  51 \\ x =  - 3

y =  - 14 - 2 \times ( - 3) \\ y =  - 8

7 0
2 years ago
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