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ehidna [41]
3 years ago
7

gavin is making a flag for a school project. He has 3 1/6 ft of fabric. He used 2 1/2 ft to make the flag. How much fabric is re

maining?
Mathematics
1 answer:
Artyom0805 [142]3 years ago
4 0

Answer:

he has 0.66 of fabrics remaining, 0.66 can be 33/50

Step-by-step explanation:

You might be interested in
Give me a real answer or else
ElenaW [278]

Answer:

1. scholars team is 15 %, student gov. 0.08%, band 24%,  sports 34 %, fun raising is 17%

2. athletics is 30%, gov is 0.07 %, band is 21%, fund raising is 15%, scholars team is 14%

Step-by-step explanation:

7 0
3 years ago
You estimate that you can do 15 math problems in 25 min.
pogonyaev
It should take around 37 minutes.
3 0
2 years ago
Andres tiene una colección de sellos que puede agrupar de 12 en 12, de 16 en 16 y de 18 en 18 sin que sobre ninguno.¿Cuál es el
Murljashka [212]

Answer:

La respuesta a tu pregunta es:  135 sellos

Step-by-step explanation:

Datos

Agrupar de 12 en 12

Agrupar de 16 en 16

Agrupar de 18 en 18

Obtener el mcm

                                 12    16    18    2

                                  6      8     9    2        

                                  3      4      9   2  

                                  3      2      9   2

                                  3       1      9   3

                                   1              3    3

                                                   1

     mcm = 2⁴ 3² = 135

5 0
3 years ago
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
2 years ago
In this subtraction, PR5T and 47Y6 represent 4-digit numbers. What number does PR5T represent?
Svetach [21]

Answer:

PR5T represents <em>6754.</em>

P = 6

R = 7

T = 4

Y = 5

Step-by-step explanation:

Let us try to understand the subtraction starting from the unit's digit.

   P R 5 T

-  4 7 Y 6

-----------------

    1 9 9 8

To get 8, 6 should be subtracted from 14

14 - 6 = 8

So, T should be equal unit digit of 14 <em>i.e.</em> T = 4 and 1 should be carried over from the ten's digit of PR5T.

Now, let us move to ten's digit:

   P R 5 4

-  4 7 Y 6

-----------------

    1 9 9 8

To get 9, 6 should be subtracted from 15. But 1 is already carried to unit's place So, we have actually 14 here

14 - Y = 9

So, Y = 5

Moving to hundred's place:

R - carry - 7 = 9

Carry is 1, so R = unit's place of 9 + 8 i.e. R = 7

Moving to thousand's place:

P - carry - 4 = 1

Here carry is 1

So, P = 1 + 4 + 1 = 6

So, the number PR5T is <em>6754.</em>

5 0
3 years ago
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