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2 years ago

Fractions order from least to greatest!!

Mathematics

2 answers:

mote1985 [20]2 years ago

5 0

Answer:

The last one

Step-by-step explanation:

9/4 is the greatest as there is over two wholes, and that option is the only one where it is the right spot

dangina [55]2 years ago

3 0

Answer;

1. 7/9 5/6 9/4

Step-by-step explanation:

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Solve the inequality.−8≤2/5(k−2)<br><br> The / is not a division sign.

Dvinal [7]

Answer: x is grater or equal to -18

Inter el notation

[-18,oo)

Step-by-step explanation:

7 0

2 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

2 years ago

What is the least common denominator of 3/20 and 9/40?

brilliants [131]

Since 20 is a factor of 40, the least common denominator of 3/20 and 9/40 is 40.

7 0

2 years ago

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Tins eats 8 crackers for a snack each day at school.on Friday,she drops 3 and only eats 5. multy

Pie

Answer:

If she only ate 5 she'll need to get 3 more to keep up her streak of eating 8 cracker.

Step-by-step explanation:

8-3=5 is an equation you'd use.

6 0

3 years ago

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Whats the word phrase of 49+m?

Arturiano [62]

The sum of 49 and m.

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2 years ago

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