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enot [183]
2 years ago
11

Pls help i’ll mark brainliest!!

Mathematics
1 answer:
Luba_88 [7]2 years ago
4 0
Answer: Aiden runs 187.5 meters per minute.
Explanation: Literally divide the two numbers
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What is the third quartile of the data set? 23, 35, 55, 61, 64, 67, 68, 71, 75, 94, 99
lara [203]

Answer:

75

Step-by-step explanation:

Q1=55 Q2=67 Q3=75

4 0
3 years ago
In the triangle shown, what is the value of the missing angle?
Contact [7]
Because angles in a triangle add up to 180, you can add up the given angles and then take that answer away from 180, so:
65 + 74 = 139
180 - 139 = 41°
So your answer is 41°, I hope this helps!
7 0
3 years ago
Read 2 more answers
. What is the value of x in the equation –6 + x = –2?
Usimov [2.4K]
4 is the right answer
5 0
3 years ago
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
3 years ago
Find the common difference of the arithmetic sequence -3, -9, -15
eduard

Answer:

they are subtracting 6 from each number

6 0
3 years ago
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