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Amiraneli [1.4K]

3 years ago

12

Use the data from problem 1 to complete this problem. Compare the range of the prices of Felix's books and of Tyler's books. Wha

t do the differences in the ranges tell you about the prices of the two sets of books?

1 answer:

Alborosie3 years ago

3 0

Hello, I am The HumanSpider your answer is ready.

Answer:

Felix books are less expensive.

Tyler's books vary in price more.

Step-by-step explanation:

Screw that!

Note: My answer came from Yahoo answer also there are some good reviews from that answer.

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Don't be a fool stay cool

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The HumanSpider

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Find the angle between the given vectors. Round your answer, in degrees, to two decimal places. u=⟨2,−6⟩u=⟨2,−6⟩, v=⟨4,−7⟩

NISA [10]

Answer:

$\theta = 108.29$

Step-by-step explanation:

Given

$u =$

$v =$

Required:

Calculate the angle between u and v

The angle $\theta$ is calculated as thus:

$cos\theta = \frac{u.v}{|u|.|v|}$

For a vector

$A =$

$A = a * b$

$cos\theta = \frac{u.v}{|u|.|v|}$ becomes

$cos\theta = \frac{.}{|u|.|v|}$

$cos\theta = \frac{2*6+4*-7}{|u|.|v|}$

$cos\theta = \frac{12-28}{|u|.|v|}$

$cos\theta = \frac{-16}{|u|.|v|}$

For a vector

$A =$

$|A| = \sqrt{a^2 + b^2}$

So;

$|u| = \sqrt{2^2 + 6^2}$

$|u| = \sqrt{4 + 36}$

$|u| = \sqrt{40}$

$|v| = \sqrt{4^2+(-7)^2}$

$|v| = \sqrt{16+49}$

$|v| = \sqrt{65}$

So:

$cos\theta = \frac{-16}{|u|.|v|}$

$cos\theta = \frac{-16}{\sqrt{40}*\sqrt{65}}$

$cos\theta = \frac{-16}{\sqrt{2600}}$

$cos\theta = \frac{-16}{\sqrt{100*26}}$

$cos\theta = \frac{-16}{10\sqrt{26}}$

$cos\theta = \frac{-8}{5\sqrt{26}}$

Take arccos of both sides

$\theta = cos^{-1}(\frac{-8}{5\sqrt{26}})$

$\theta = cos^{-1}(\frac{-8}{5 * 5.0990})$

$\theta = cos^{-1}(\frac{-8}{25.495})$

$\theta = cos^{-1}(-0.31378701706)$

$\theta = 108.288386087$

<em></em> $\theta = 108.29$ <em> (approximated)</em>

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Nataly_w [17]

Answer

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Step-by-step explanation:

This is a fraction equal to

36 gallons ÷ 9 minutes

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 9

36 gallons ÷ 9

9 minutes ÷ 9

=

4 gallons

1 minute

=

4 gallons

minute

= 4 gallons per minute

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weeeeeb [17]

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Step-by-step explanation:

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