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Ilia_Sergeevich [38]
3 years ago
7

??help what is DEB?

Mathematics
1 answer:
sergij07 [2.7K]3 years ago
6 0

Answer:

85°

Step-by-step explanation:

AED and DEB would add up to 180, the same goes for AEC and CEB

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Identify the percent increase in total sales and the percent increase in sales of trench coats. Then find which percent of
Ilya [14]

Answer:

Answer b: Sales of trench coats increased 8.3 percentage points faster than total coat sales.

Step-by-step explanation:

First add all the sales for 2006, and do the same for the 2007 sales, so we can compare both total sales numbers:

For 2006 we have:

103+297+210+213+137 = 960 total sales

For 2007 we have:

127+223+210+285+259 =  1104 total sales

The percent increase is calculated as the difference between the final value minus the original value, divided by the original value and multiplied by 100:

For the total number of coats we have that the percent increase is: \frac{1104-960}{960} * 100= 15%

For the trench coats (which went from 103 sales tp 127 sales) we have the following percent increase: \frac{127-103}{103} * 100= 23.3%

Therefore, the percent increase in trench coats was larger than the percent increase in total sales by:

23.3 % - 15% = 8.3%

7 0
3 years ago
Read 2 more answers
Suppose that v is an eigenvector of matrix A with eigenvalue λA, and it is also an eigenvector of matrix B with eigenvalue λB. (
galben [10]

Answer:

(a) Yes, λ_{A}+λ_{B}

(b) Yes, λ_{A}λ_{B}

Step-by-step explanation:

First, lets understand what are eigenvectors and eigenvalues?

Note: I am using the notation λ_{A} to denote Lambda(A) sign.

v is an eigenvector of matrix A with eigenvalue λ_{A}

v is also eigenvector of matrix B with eigenvalue λ_{B}

So we can write this in equation form as

Av=λ_{A}v

So what does this equation say?

When you multiply any vector by A they do change their direction. any vector  that is in the same direction as of Av, then this v  is called the eigenvector of A. Av is λ_{A} times the original v. The number λ_{A} is the eigenvalue of A.

λ_{A} this number is very important and tells us what is happening when we multiply Av. Is it shrinking or expanding or reversed or something else?

It tells us everything we need to know!

Bonus:

By the way you can find out the eigenvalue of Av by using the following equation:

det(A-λI)=0

where I is identity matrix of the size of same as A.

Now lets come to the solution!

(a) Show that v is an eigenvector of A + B and find its associated eigenvalue.

The eigenvalues of A and B are λ_{A} and λ_{B}, then

(A+B)(v)=Av+Bv=(λ_{A})v + (λ_{B})v=(λ_{A}+λ_{B})(v)

so,  (A+B)(v)=(λ_{A}+λ_{B})(v)

which means that v is also an eigenvector of A+B and the associated eigenvalues are λ_{A}+λ_{B}

(b) Show that v is an eigenvector of AB and find its associated eigenvalue.

The eigenvalues of A and B are λ_{A} and λ_{B}, then

(AB)(v)=A(Bv)=A(λ_{B})=λ_{B}(Av)=λ_{B}λ_{A}(v)=λ_{A}λ_{B}(v)

so,  

(AB)(v)=λ_{A}λ_{B}(v)

which means that v is also an eigenvector of AB and the associated eigenvalues are λ_{A}λ_{B}

5 0
3 years ago
HELP AS SOON AS POSSIBLE PLEASE : What is the distance between 7 and -1?
Alekssandra [29.7K]

Answer:

8

Step-by-step explanation:

3 0
4 years ago
What's 17⁄12 as a mixed number? <br><br> A. 1 5⁄12<br> B. 1 12⁄7<br> C. 1 7⁄12<br> D. 7 1⁄2
Tju [1.3M]

Answer:

A

Step-by-step explanation:

17 / 12

(12 + 5) / 12

12/12 + 5/12

1 5/12

8 0
4 years ago
The mk family ochard has 120 apple trees and 90 pear trees.if each fruit tree produces an average of 590 pounds of fruit per yea
denis-greek [22]
If there’s a total of 210 fruit trees, and each tree produces 590 pounds a year, you multiply both those numbers and get 123,900 pounds a year.
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3 years ago
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