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2 years ago

12

Which graph represents the same relation as the rule y = 2x, for all real numbers x?

1 answer:

Feliz [49]2 years ago

4 0

Answer:

C is your answer...

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What is bigger 24 fl. Oz. Or 8 cups?

Rudik [331]

Answer:

8 Cups.

Step-by-step explanation:

8 Cups is 64 Fl Oz, while 24 Fl Oz is only 3 cups.

3 0

2 years ago

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Vincent ran 24 laps on monday. This is 63 2/3 of the maximum number of laps he has run in one day. What is the maximum number of

ivann1987 [24]

63.66%x=24

x=240000/6366

=40000/1061

4 0

2 years ago

On Monday you read 3 pages.

spin [16.1K]

Answer:

27 pages

Step-by-step explanation:

Since you read 3 pages on Monday and you read 3 times that number on Tuesday, the equation should be 3*3 to equal 9. Then, since you read 9 pages on Tuesday and 3 times that number on Wednesday, the equation should be 9*3 to equal 27 pages. So, on Wednesday, you read 27 pages in total.

8 0

2 years ago

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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

One leg of a triangle is 7 inches. another leg measures 5 inches. if the perimeter of the triangle is 19 inches, find the length

Setler79 [48]

SOLUTION

A triangle has three sides. The sides of this triangle are 7 inches, 5inches and the unknown side.

Let the unknown side be x inches.

Perimeter is distance around a plane shape.

The perimeter of this triangle is 19,

$\begin{gathered} \text{ That is the perimeter 1}9=7+5+x \\ 19\text{ = 12 }+x \\ x\text{ = 19 - 12 } \\ x\text{ = 7 inches } \end{gathered}$

Therefore, the other side is 7 inches

6 0

1 year ago