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s2008m [1.1K]
3 years ago
11

Writing to Explain: Kevin drove his scooter 62 km in 2 hours. Explain how to find how far he drives if he drives at the same rat

e for 3 hours.

Mathematics
2 answers:
RSB [31]3 years ago
7 0
Divide 62 by 2 an then add that 3 times
ozzi3 years ago
5 0
The abswer i got was 93 its kinda hard to explain but im going to try my best i divide 62 by 2 got 31 so i figure to get the answer to 3 i just did 31 times 3 which is 93 i hope this helps
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8_murik_8 [283]
Answer: 21

Reasoning:

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masya89 [10]
The answer is 120. Because inscribed angle is Half of the arc measure. Double 60 and we get 120.
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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
Help me plz with my hw
inna [77]
Circumference is found with the formula

c = pi × d

d is diameter and we will use 3.14 for pi.

The diameter is the measure across the center of the circle. In the first problem, you are given the radius, so we have to multiply by 2 to get the diameter. Then we can use the formula.

12.4 in × 2 = 24.8 in (that's the diameter)

c = pi × D
c = 3.14 × 24.8
c = 77.872 inches

circumference is 77.872 inches.

Try the other problems on your own. They are just like this one. Just make sure they are giving you the diameter and not the radius. Post if you have problems.
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Answer:

its 84 but tysm thats so sweet

Step-by-step explanation:

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