Julia drove at a constant speed and went 25 miles in ½ an hour. What was her speed in miles per hour?

2021-12-09
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nick1337

Answered 2022-02-18
Author has **564** answers

Given:

Need to find speed

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Solve the following equations:

${\mathrm{log}}_{2}x+8=13$

${\mathrm{log}}_{2}x+8=13$

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Evaluate the indefinite integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.)

$\int \frac{dx}{qx+s}(q\ne 0)$

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$\dot{x}=x-y-x({x}^{2}+{y}^{2})$

$\dot{y}=y+x-y({x}^{2}+{y}^{2})$

1. Determine the equilibrium points

2. Show that this system has a periodic solution. Use the following substitution $x=r\mathrm{cos}(\varphi ),y=r\mathrm{sin}(\varphi )$.

3. Give the explicit solution for this system. Also determine the period of this solution.

$\dot{y}=y+x-y({x}^{2}+{y}^{2})$

1. Determine the equilibrium points

2. Show that this system has a periodic solution. Use the following substitution $x=r\mathrm{cos}(\varphi ),y=r\mathrm{sin}(\varphi )$.

3. Give the explicit solution for this system. Also determine the period of this solution.

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Solve equation:

$2x+1-12=0$

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Is $\mathrm{sin}(\omega t+\pi )=-\mathrm{sin}\omega t$ always true no matter what $\omega$ is?

For example, it's true that$\mathrm{sin}(t+\pi )=-\mathrm{sin}\left(t\right)$ . You flip one over the x-axis, and you get the other. But $\mathrm{sin}(2t+\pi )=\mathrm{sin}\left(2t\right)$ . Because $\mathrm{sin}\left(2t\right)$ has a period of $\pi$ , so if you translate it by π, you are still gonna get $\mathrm{sin}\left(2t\right)$

For example, it's true that

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How do you simplify $(\frac{1}{2}+\frac{2}{5i})+(\frac{1}{20}-\frac{1}{5i})$ ?

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Is ${n}^{\mathrm{log}c}={c}^{\mathrm{log}n}$ true?

If so, please explain.

If so, please explain.