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3 years ago

Lia can paint 600 square feet in 2 and a half hours at this rate how many square feet can she paint in 1 hour

Mathematics

1 answer:

lyudmila [28]3 years ago

7 0

The answer would be that she can paint 240 square feet in one hour!

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Write the fraction or decimal as a percent #1. 0.622 ,#2. 0.303 #3. 2.45

Pani-rosa [81]

So do you need it as a percent or a fraction?

8 0

4 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

1 question, 10 POINTS ( no rude answers please )

klemol [59]

I believe the answer is 54%.

Hope this helps!

8 0

4 years ago

Read 2 more answers

You don’t know how important this is Please help me!!

Natali5045456 [20]

Answer:

f(x)= $\frac{7}{5}$ x- $\frac{6}{5}$

Step-by-step explanation:

First put 7x-5y=6 into slope intercept form

y= $\frac{7}{5}$ x- $\frac{6}{5}$

Then put it into f(x) form

7 0

3 years ago

Two friends are renting an apartment. They pay the landlord the first month’s rent. The landlord also requires them to pay an ad

UNO [17]

So you could do $1725/3 (divided by) which would give you 575 then mulitply that by two and that will give you the months rent of, $1,150. I hope this helps!

5 0

3 years ago

Read 2 more answers