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3 years ago

6

The low temperature on a certain day is 51°F. The low temperature is 17°F lower than the high temperature, h.

1 answer:

ohaa [14]3 years ago

5 0

Using the change of subject of formula, the high temperature value for the day can be modeled using the expression <em>High temperature = Low temperature - 17°F</em>

<u>Giveb</u><u> </u><u>the</u><u> </u><u>Parameters</u><u> </u><u>:</u>

<em>Low</em><em> </em><em>temperature</em><em> </em><em>=</em><em> </em><em>51</em><em>°</em><em>F</em>

<u>The</u><u> </u><u>low</u><u> </u><u>temperature</u><u> </u><u>is</u><u> </u><u>17</u><u>°</u><u>F</u><u> </u><u>lower</u><u> </u><u>than</u><u> </u><u>the</u><u> </u><u>high</u><u> </u><u>temperature</u><u>,</u><u> </u><u>this can be</u><u> </u><u>modeled</u><u> </u><u>as</u><u> </u><u>an</u><u> </u><u>equation</u><u> </u><u>thus</u><u> </u><u>:</u>

<em>Low temperature = High temperature + 17°F</em>

<u>Male</u><u> </u><u>the</u><u> </u><u>high</u><u> </u><u>temperature</u><u> </u><u>the</u><u> </u><u>subject</u><u> </u><u>:</u>

High temperature = Low temperature - 17°F

Therefore, the equation which models the high temperature is : <em>High temperature = Low temperature - 17°F</em>

Learn more :brainly.com/question/25449918

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The number of ways of the books can be arranged are illustrations of permutations.

When the books are arranged in any order, the number of arrangements is 3628800
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When the mathematics books must be together, and the novels must not be together, the number of arrangements is 302400

The given parameters are:

$\mathbf{Novels = 3}$

$\mathbf{Mathematics = 2}$

$\mathbf{Chemistry = 5}$

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First, we calculate the total number of books

$\mathbf{n = Novels + Mathematics + Chemistry}$

$\mathbf{n = 3 + 2 + 5}$

$\mathbf{n = 10}$

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$\mathbf{n! = 10!}$

$\mathbf{n! = 3628800}$

<u>(b) The mathematics book, not together</u>

There are 2 mathematics books.

If the mathematics books, must be together

The number of arrangements is:

$\mathbf{Maths\ together = 2 \times 9!}$

Using the complement rule, we have:

$\mathbf{Maths\ not\ together = Total - Maths\ together}$

This gives

$\mathbf{Maths\ not\ together = 3628800 - 2 \times 9!}$

$\mathbf{Maths\ not\ together = 2903040}$

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We have:

$\mathbf{Novels = 3}$

$\mathbf{Chemistry = 5}$

First, arrange the novels in:

$\mathbf{Novels = 3!\ ways}$

Next, arrange the chemistry books in:

$\mathbf{Chemistry = 5!\ ways}$

Now, the 5 chemistry books will be taken as 1; the novels will also be taken as 1.

Literally, the number of books now is:

$\mathbf{n =Mathematics + 1 + 1}$

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So, the number of arrangements is:

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We have:

$\mathbf{Mathematics = 2}$

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$\mathbf{Chemistry = 5}$

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$\mathbf{Mathematics = 2!}$

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$\mathbf{n =Chemistry + 1}$

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