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Vitek1552 [10]
3 years ago
9

How many orders of magnitude bigger is 23,000 than 56?

Mathematics
1 answer:
Daniel [21]3 years ago
4 0

Orders of Magnitude are in terms of scientific notation.

23,000 written in scientific notation is 2.3 x 10^4, it's magnitude is 4 ( the number 10 is raised to)

56 in scientific notation would be 5.6 x 10^1, its magnitude is 1.

4 - 1 = 3

2300 is 3 order of magnitudes larger.

The answer is 3.

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(6, - 3, 1) and (8,9,-11) find the angle between the vector​
Svetllana [295]

Answer:

The angle between the two vectors is 84.813°.

Step-by-step explanation:

Statement is incomplete. Complete form is presented below:

<em>Let be (6,-3, 1) and (8, 9, -11) vector with same origin. Find the angle between the two vectors. </em>

Let \vec u = \langle 6, -3, 1 \rangle and \vec v = \langle 8,9,-11 \rangle, the angle between the two vectors is determined from definition of dot product:

\theta = \cos^{-1} \left(\frac{\vec u \,\bullet \,\vec v}{\|\vec u\|\cdot \|\vec v\|} \right) (1)

Where:

\vec u, \vec v - Vectors.

\|\vec u\|, \|\vec v\| - Norms of each vector.

Note: The norm of a vector in rectangular form can be determined by either the Pythagorean Theorem or definition of Dot Product.

If we know that \vec u = \langle 6,-3,1 \rangle and \vec v = \langle 8, 9,-11 \rangle, then the angle between the two vectors is:

\theta = \cos^{-1}\left[\frac{(6)\cdot (8) + (-3)\cdot (9) + (1)\cdot (-11)}{\sqrt{6^{2}+(-3)^{2}+1^{2}}\cdot \sqrt{8^{2}+9^{2}+(-11)^{2}}} \right]

\theta \approx 84.813^{\circ}

The angle between the two vectors is 84.813°.

6 0
2 years ago
Solve the following systems of equations by graphing. Write your answer in the form of (x, y).
EastWind [94]

Answer:

(x,y) = (1,9)

Step-by-step explanation:

y = x + 8 and y = 5x + 4

3 0
2 years ago
At a grocery store, a certain type of tomato sells for $0.79 per pound, and a certain type of orange sells for $0.59 per orange.
andrezito [222]

Answer:

the answer is A

Step-by-step explanation:

that is not correct

3 0
3 years ago
Read 2 more answers
Help please I don’t understand any of this
sveta [45]

The two angles form a straight line which is equal to 180 degrees. This makes the angles supplemtary.

To find x, add the two angles together to equal 180:

7x + x+20 = 180

Combine like terms:

8x + 20 = 180

Subtract 20 from both sides:

8x = 160

Divide both sides by 8:

X = 20

6 0
2 years ago
Read 2 more answers
suppose andrew slept for eight hours one night. Ten percent of his sleep hours were before mignight. What.time did andrew go to
m_a_m_a [10]
Answer: 11:12 PM.
explanation:
- 10% of 8 is 0.8. (10% is 0.1, and you multiply this by 8)
- multiply 0.8 by 60 so you can get the number of minutes before midnight (this is 48).
- 48 minutes before midnight is 11:12.
6 0
3 years ago
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