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Evgesh-ka [11]
3 years ago
5

HELP 64 POINTS

Mathematics
2 answers:
xxTIMURxx [149]3 years ago
7 0

Answer:

{30, 39, 33, 15, 15, 18, 20, 33, 19, 41, 45, 18}

kodGreya [7K]3 years ago
5 0

Answer:  {30, 39, 33, 15, 15, 18, 20, 33, 19, 41, 45, 18}

Step-by-step explanation:

1. The key indicates you how to read the values of the stem-and-leaf plot. Then, 1|5 means 15.

2. Then, the first digit is written in the colum Stem and the second digit in the column Leaf.

3. Based on this information, you can write the data given in the stem-and-leaf plot, as following:

15, 15, 18, 18, 19 (The first digit is 1 and the second digit are: 5,5,8,8 and 9)

20 (The first digit is 2 and the second digit is 0)

30, 33, 33, 39 (The first digit is 3 and the second digit are: 0,3,3 and 9)

41, 45 (The first digit is 4 and the second digit are: 1 and 5)

3. Then, as you can see, the data set represented by the stem-and-leaf plot is:

{30, 39, 33, 15, 15, 18, 20, 33, 19, 41, 45, 18}

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3 years ago
Find a vector that has the opposite direction of u = (1,-2,4), but which has length square root of 3.
Lina20 [59]

Normalize \vec u by dividing \vec u by its magnitude:

\dfrac{\vec u}{\|\vec u\|}=\dfrac{(1,-2,4)}{\sqrt{1^2+(-2)^2+4^2}}=\dfrac{(1,-2,4)}{\sqrt{21}}

Multiply by -1 to reverse its direction, and again by \sqrt3 to ensure this new vector has the magnitude we want. Notice that \sqrt{\dfrac3{21}}=\dfrac1{\sqrt7}.

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6 0
3 years ago
Help me fasttt pleasee
Karo-lina-s [1.5K]

Answer:

f(x) = -2x +7

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 The 2-point form of the equation for a line is suitable for this. For points (x1, y1) and (x2, y2), the equation is ...

 y = (y2 -y1)/(x2 -x1)(x -x1) +y1

For the given points (0, 7) and (3, 1), the equation is ...

 y = (1 -7)/(3 -0)(x -0) +7

 y = -6/3x +7 . . . . . . . . simplify.

We can use f(x) for y to get ...

 f(x) = -2x +7

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