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viktelen [127]
3 years ago
10

The cruise control of megan's truck is set at 65 miles per hour, but her actual speed may vary by as much as 5 miles per hour. W

rite an inequality that can be used to determine the actual speeds at which megan could be traveling.
Physics
2 answers:
LenKa [72]3 years ago
5 0
<span>-65|≤5 is the right answer
hope it helps
</span>
kobusy [5.1K]3 years ago
3 0

Answer:

The required inequality is |s - 65| ≤ 5.

Explanation:

Consider the provided information.

The cruise control of Megan's truck is set at 65 miles per hour, but her actual speed may vary by as much as 5 miles per hour.

That means actual speed can be 65 - 5 or 65 + 5

Let the speed of Megan's truck is "s".

The speed of truck is lies between 65 - 5 or 65 + 5

This can be written as:

65 - 5 ≤ s ≤ 65 + 5

60 ≤ s ≤ 70

Or this can be written as:

65 - 5 ≤ s ≤ 65 + 5

Subtract both the side by 65.

- 5 ≤ s - 65 ≤ 5

Take the absolute value of difference, where the absolute value can be as much as 5. Which gives the required inequality for the situation.

|s - 65| ≤ 5

Hence, the required inequality is |s - 65| ≤ 5.

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Answer:

The distance between the places where the intensity is zero due to the double slit effect is 15 mm.

Explanation:

Given that,

Distance between the slits = 0.04 mm

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We need to calculate the distance between the places where the intensity is zero due to the double slit effect

For constructive fringe

First minima from center

x_{1}=\dfrac{\lambda D}{2d}

Second minima from center

x_{2}=\dfrac{3\lambda D}{2d}

The distance between the places where the intensity is zero due to the double slit effect

\Delta x_{d}=x_{2}-x_{1}

\Delta x_{d}=\dfrac{3\lambda D}{2d}-\dfrac{\lambda D}{2d}

\Delta x_{d}=\dfrac{\lambda D}{d}

Put the value into the formula

\Delta x_{d}=\dfrac{600\times10^{-9}\times1}{0.04\times10^{-3}}

\Delta x_{d}=0.015 =15\times10^{-3}\ m

\Delta x_{d}=15\ mm

Hence, The distance between the places where the intensity is zero due to the double slit effect is 15 mm.

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