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ohaa [14]
2 years ago
15

At Norman's Newsstand, 5 magazines cost $10.00. How many magazines could you buy with $24.00?

Mathematics
2 answers:
kow [346]2 years ago
6 0

Answer: you could buy 12 magazines

Step-by-step explanation:

each magazine is $2

Feliz [49]2 years ago
4 0

Answer:

If 5 magazines = $10.00

Then,

10. 20

<u>15. 25</u>

20.30

Step-by-step explanation:

the answer would be 15

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4.89; 4.089; 4.870; 4.881 - Put these in order from least to greatest. Your answer​
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Find two vectors in R2 with Euclidian Norm 1<br> whoseEuclidian inner product with (3,1) is zero.
alina1380 [7]

Answer:

v_1=(\frac{1}{10},-\frac{3}{10})

v_2=(-\frac{1}{10},\frac{3}{10})

Step-by-step explanation:

First we define two generic vectors in our \mathbb{R}^2 space:

  1. v_1 = (x_1,y_1)
  2. v_2 = (x_2,y_2)

By definition we know that Euclidean norm on an 2-dimensional Euclidean space \mathbb{R}^2 is:

\left \| v \right \|= \sqrt{x^2+y^2}

Also we know that the inner product in \mathbb{R}^2 space is defined as:

v_1 \bullet v_2 = (x_1,y_1) \bullet(x_2,y_2)= x_1x_2+y_1y_2

So as first condition we have that both two vectors have Euclidian Norm 1, that is:

\left \| v_1 \right \|= \sqrt{x^2+y^2}=1

and

\left \| v_2 \right \|= \sqrt{x^2+y^2}=1

As second condition we have that:

v_1 \bullet (3,1) = (x_1,y_1) \bullet(3,1)= 3x_1+y_1=0

v_2 \bullet (3,1) = (x_2,y_2) \bullet(3,1)= 3x_2+y_2=0

Which is the same:

y_1=-3x_1\\y_2=-3x_2

Replacing the second condition on the first condition we have:

\sqrt{x_1^2+y_1^2}=1 \\\left | x_1^2+y_1^2 \right |=1 \\\left | x_1^2+(-3x_1)^2 \right |=1 \\\left | x_1^2+9x_1^2 \right |=1 \\\left | 10x_1^2 \right |=1 \\x_1^2= \frac{1}{10}

Since x_1^2= \frac{1}{10} we have two posible solutions, x_1=\frac{1}{10} or x_1=-\frac{1}{10}. If we choose x_1=\frac{1}{10}, we can choose next the other solution for x_2.

Remembering,

y_1=-3x_1\\y_2=-3x_2

The two vectors we are looking for are:

v_1=(\frac{1}{10},-\frac{3}{10})\\v_2=(-\frac{1}{10},\frac{3}{10})

5 0
2 years ago
What is the slope of the line that
Naily [24]

Answer:

The line has a slope of zero which means the line is a horizontal line.

Step-by-step explanation:

Given that:

The two points are (-3,2) and (4,2)

Slope of a line is given by the formula,

m = \frac{Rise}{Run} = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

Here,

x_{1}=-3,\ y_{1}=2\\x_{2}=4,\ y_{2}=2

Putting these values in formula;

m=\frac{2-2}{4-(-3)} \\m = \frac{0}{4+3}\\m = \frac{0}{7} = 0

Hence,

The line has a slope of zero which means the line is a horizontal line.

4 0
2 years ago
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