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Alexxx [7]
2 years ago
15

While driving your rental car on your trip to Europe, you find that you are getting 12.4 kilometers per liter of gasoline. What

does this correspond to in miles per gallon? PLEASE HELP ME!!!!
Mathematics
1 answer:
11Alexandr11 [23.1K]2 years ago
7 0
<span>One kilometer is equal to 0.621371 miles. Conversely, one mile is equal to 1.609344 kilometers. One liter is equal to 0.264172 gallons, and one gallon is equal to 3.78541103373138 liters. Thus, 12.4 kilometers per liter is equal to 29.16661 miles per gallon as 1 km/l = 2.352145833 mpg.</span>
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Ariel was told the x intercept and the y intercept of a line with a positive slope. Yet, it was impossible for Ariel to find the
alexdok [17]

A line has the following standard equation form:

y = m x + b

where m is the slope and b is the y intercept

 

So if Ariel cannot find the slope, then this would only mean that m = 0, there is no slope. And hence the line is either a straight vertical line or straight horizontal line.

 

Answer:

<span>There is no slope</span>

8 0
3 years ago
Let g be the function given by g(x)=limh→0sin(x h)−sinxh. What is the instantaneous rate of change of g with respect to x at x=π
lorasvet [3.4K]

The <em>instantaneous</em> rate of change of <em>g</em> with respect to <em>x</em> at <em>x = π/3</em> is <em>1/2</em>.

<h3>How to determine the instantaneous rate of change of a given function</h3>

The <em>instantaneous</em> rate of change at a given value of x can be found by concept of derivative, which is described below:

g(x) =  \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}

Where h is the <em>difference</em> rate.

In this question we must find an expression for the <em>instantaneous</em> rate of change of g if f(x) = \sin x and evaluate the resulting expression for x = \frac{\pi}{3}. Then, we have the following procedure below:

g(x) =  \lim_{h \to 0} \frac{\sin (x+h)-\sin x}{h}

g(x) =  \lim_{h \to 0} \frac{\sin x\cdot \cos h +\sin h\cdot \cos x -\sin x}{h}

g(x) =  \lim_{h \to 0} \frac{\sin h}{h}\cdot  \lim_{h \to 0} \cos x

g(x) = \cos x

Now we evaluate g(x) for x = \frac{\pi}{3}:

g\left(\frac{\pi}{3} \right) = \cos \frac{\pi}{3} = \frac{1}{2}

The <em>instantaneous</em> rate of change of <em>g</em> with respect to <em>x</em> at <em>x = π/3</em> is <em>1/2</em>. \blacksquare

To learn more on rates of change, we kindly invite to check this verified question: brainly.com/question/11606037

4 0
1 year ago
To graph the inequality -4 ≥ w , you would put a closed circle on -4 and shade to the right.
madam [21]
True because you do not include the number if the circle was open.
4 0
3 years ago
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Mr. Fowler's science class grew two different varieties of
Zanzabum

Answer: A

Step-by-step explanation:

The average height of a variety a is greater but varies less than a variety b

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the area for the square is 126.56cm²:

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