Evaluate the following 9÷3+2 times 8-4

Mathematics

1 answer:

adelina 88 [10]3 years ago

8 0

This is how I would evaluate it ... (9/3)2 +(8 - 4)

Tell me if you need the actual answer.

Hope this helped!!

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Which weighs more, 5 ounces or 150 grams

lara [203]

150 grams is larger than 5 ounces.

1 ounce is equivalent to approximately 28.3495 grams. When that is multiplied by 5, you get 141.748 grams, which is lower than 150 grams.

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3 0

4 years ago

Pablo buys a mattress set for 15% of the regular price and uses a coupon for 20% off the reduced price. If Pablo paid $1223.32 f

geniusboy [140]

Answer:

$1799

Step-by-step explanation:

We simply work backwards and write out an equation.

Lets call the initial price P.

First we have 15% off the initial price P which means that we are only paying 85% of the initial price: .85*P.

Next we use a coupon for 20% off the reduced price which means we only pay 80% of the reduced price: .80 * (.85 * P)

We know that the price paid was $1223.32, set that equal to .80 * (.85 * P)

and we find that P is $1799

4 0

4 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:

$det(A-λI)=0$