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antiseptic1488 [7]
2 years ago
10

The distance between -18 and 15 is equal to a. 18-15 b. -18-15 c. 15-18 d. 15-(-18)

Mathematics
1 answer:
Feliz [49]2 years ago
6 0

Answer:

d. 15-(-18)

Step-by-step explanation:

Take the second point and subtract the first point

15 - (-18)

15 + 18

33

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Answer:

31.59

Step-by-step explanation:

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Derivative of (2x+5)^4(5x+2)^-2
Sveta_85 [38]
Use chain rule

\frac{d}{dx}f(x)g(x)=f'(x)g(x)+g'(x)f(x)

and also power rule
\frac{d}{dx} x^m=mx^{m-1}

so

well, we will say f(x)=(2x+5)^4 and g(x)=(5x+2)^{-2}
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simplify yourself
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3 years ago
Chad needed to buy a new part for his bicycle, and thought that the parts were sold in metric units. When he arrived at the stor
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Answer:

<h2>9.1 inches</h2>

Step-by-step explanation:

1cm = 0.3937007874 inches.

As there are 2.54cm in an inch, to convert your cm figure to inches you need to divide your figure by 2.54.

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When temperature is zero degree Celsius, the Fahrenheit temperature is 32. When the Celsius temperature is 100, the correspondin
7nadin3 [17]

Answer:

\\ y = 1.8(x) + 32 or \\ y = \frac{9}{5}(x) + 32

or equivalently:

\\ F = 1.8(C) + 32 or \\ F = \frac{9}{5}(C) + 32

Step-by-step explanation:

To express the Fahrenheit temperature <em>as a linear function of the Celsius temperature</em>, F(c), we can proceed as follows.

We can use here <em>the two-point form</em> <em>equation</em> of a line:

\\ y-y_1 = \frac{y_2 - y_1}{x_2 - x_1}(x-x_1) [1]

We are asked to express the <em>Fahrenheit temperature</em> as a function of <em>Celsius temperature</em>, so the independent variable, in this case, is <em>x</em> (Celsius temperature) and the dependent variable is <em>y</em> (Fahrenheit temperature).

When temperature is zero degree Celsius (\\x_1 = 0), the Fahrenheit temperature is 32 (\\y_1 = 32).

When the Celsius temperature is 100 (\\x_2 = 100), the corresponding Fahrenheit temperature is 212 (\\y_2 = 212).

Then, using [1], we have:

\\ y-32 = \frac{212 - 32}{100 - 0}(x-0)

\\ y-32 = \frac{180}{100}(x)

\\ y-32 = 1.8(x).

It could be also be written as:

\\ y-32 = \frac{18}{10}(x) = \\ y-32 = \frac{9}{5}(x), as it commonly appears in books.

Then <em>the Fahrenheit temperature express as a linear function of the Celsius temperature, F(c</em>) is ( solving the equation for <em>y </em>) :

\\ y = 1.8(x) + 32 or \\ y = \frac{9}{5}(x) + 32.

Or equivalently:

\\ F = 1.8(C) + 32 or \\ F = \frac{9}{5}(C) + 32

We can check this using the given values from the question:

For 0 Celsius degrees, the Fahrenheit temperature is:

\\ y = 1.8(0) + 32 = 32 Fahrenheit degrees.

For 100 Celsius degrees, the Fahrenheit temperature is:

\\ y = 1.8(100) + 32 = 180 + 32 = 212 Fahrenheit degrees.

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