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Tju [1.3M]
3 years ago
8

A bus touring company charges $10 per passenger, and carries an average of 300 passengers per day. The company estimates it will

lose 15 passengers for each increase of $1 in the fare. What is the most profitable fare to charge?
Mathematics
1 answer:
erastova [34]3 years ago
7 0

Answer: 3135

Step-by-step explanation:

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ava had 30 dollars. she spent half of what she had at the friday night football game and then earned 8 dollars babysitting. how
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30/2+8

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she finished with $23

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Question 8 Find the unit vector in the direction of (2,-3). Write your answer in component form. Do not approximate any numbers
slamgirl [31]

Answer:

The unit vector in component form is \hat{u} = \left(\frac{2}{\sqrt{13} },-\frac{3}{\sqrt{13}}  \right) or \hat{u} = \frac{2}{\sqrt{13}}\,i-\frac{3}{13}\,j.

Step-by-step explanation:

Let be \vec u = (2,-3), its unit vector is determined by following expression:

\hat {u} = \frac{\vec u}{\|\vec u \|}

Where \|\vec u \| is the norm of \vec u, which is found by Pythagorean Theorem:

\|\vec u\|=\sqrt{2^{2}+(-3)^{2}}

\|\vec u\| = \sqrt{13}

Then, the unit vector is:

\hat{u} = \frac{1}{\sqrt{13}} \cdot (2,-3)

\hat{u} = \left(\frac{2}{\sqrt{13} },-\frac{3}{\sqrt{13}}  \right)

The unit vector in component form is \hat{u} = \left(\frac{2}{\sqrt{13} },-\frac{3}{\sqrt{13}}  \right) or \hat{u} = \frac{2}{\sqrt{13}}\,i-\frac{3}{13}\,j.

6 0
3 years ago
2. Find the missing side length.<br> 9<br> 37°<br> 6
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I found it! It's over here!!

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11) Solve the following equations, using the lines to show each step.<br><br> 4x + 5 = 2x + 7
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4x + 5 = 2x + 7

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2x + 5 = 7

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