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Jet001 [13]
3 years ago
13

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
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