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3 years ago

All of the following are ways to write 25 percent of N except

Mathematics

1 answer:

Archy [21]3 years ago

5 0

Nothing on your list <em><u>IS</u></em> a way to write 25 percent.

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NY Giants jackets sell for $80, there's a 8% sales tax. find the total cost.

Ahat [919]

Answer:

the total cost is $86.40

8 0

3 years ago

A particle moving in a planar force field has a position vector x that satisfies x'=Ax. The 2×2 matrix A has eigenvalues 4 and 2

andrey2020 [161]

Answer:

The required position of the particle at time t is: $x(t)=\begin{bmatrix}-7.5e^{4t}+1.5e^{2t}\\2.5e^{4t}-1.5e^{2t}\end{bmatrix}$

Step-by-step explanation:

Consider the provided matrix.

$v_1=\begin{bmatrix}-3\\1 \end{bmatrix}$

$v_2=\begin{bmatrix}-1\\1 \end{bmatrix}$

$\lambda_1=4, \lambda_2=2$

The general solution of the equation $x'=Ax$

$x(t)=c_1v_1e^{\lambda_1t}+c_2v_2e^{\lambda_2t}$

Substitute the respective values we get:

$x(t)=c_1\begin{bmatrix}-3\\1 \end{bmatrix}e^{4t}+c_2\begin{bmatrix}-1\\1 \end{bmatrix}e^{2t}$

$x(t)=\begin{bmatrix}-3c_1e^{4t}-c_2e^{2t}\\c_1e^{4t}+c_2e^{2t} \end{bmatrix}$

Substitute initial condition $x(0)=\begin{bmatrix}-6\\1 \end{bmatrix}$

$\begin{bmatrix}-3c_1-c_2\\c_1+c_2 \end{bmatrix}=\begin{bmatrix}-6\\1 \end{bmatrix}$

Reduce matrix to reduced row echelon form.

$\begin{bmatrix} 1& 0 & \frac{5}{2}\\ 0& 1 & \frac{-3}{2}\end{bmatrix}$

Therefore, $c_1=2.5,c_2=1.5$

Thus, the general solution of the equation $x'=Ax$

$x(t)=2.5\begin{bmatrix}-3\\1\end{bmatrix}e^{4t}-1.5\begin{bmatrix}-1\\1 \end{bmatrix}e^{2t}$

$x(t)=\begin{bmatrix}-7.5e^{4t}+1.5e^{2t}\\2.5e^{4t}-1.5e^{2t}\end{bmatrix}$

The required position of the particle at time t is: $x(t)=\begin{bmatrix}-7.5e^{4t}+1.5e^{2t}\\2.5e^{4t}-1.5e^{2t}\end{bmatrix}$

6 0

3 years ago

Someone lent me a book and they told me they left something inside and the picture attached shows the note that they left for me

son4ous [18]

Answer:

'∂' -- means a partial differential

'Δ' -- means a change in some variable.

'σ' --means 'sum' and 'deviation'.

The text says something about the world turning so maybe the equation has something to do with that? Maybe it is the equation for the earth's rotation. Sorry I can't find anything else, but I hope this helps a bit!

6 0

2 years ago

There are two rows of 8 chairs set up in the library for a puppetshow how many chairs are set up use the distributive property t

laila [671]

It there are 2 rows of 8 chairs all you have to do is add 8+8 which equals 16
Unless it means there are 8 chairs altogether split into 2 even rows then you do 8\2 =4

I would write down both answers if your not sure which one it is :)

7 0

2 years ago

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Dora bought a bottle of nail polish that was marked down by 20 percent from its original price of $4.50. Including a 9 percent s

o-na [289]

Answer:

3.92

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers