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Basile [38]
3 years ago
6

Some engines require oil to be mixed with gasoline. For every gallon of gas used, 4 ounces of oil should be added. How much gas

is needed if 12 ounces of oil are used?
Mathematics
1 answer:
kherson [118]3 years ago
3 0
3 gallons of gas are needed 
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PLEASE HELP I NEED THE ANSWER NO LINKS OR WEBSITES ANSWER NOW What is the zero of the linear function graphed below? ​
aniked [119]

Answer:

0 of a polynomial is that point where the graph cuts the x axis so the answer is

<h2>-2</h2>

4 0
3 years ago
Find the taylor series for f(x) centered at the given value of a. [assume that f has a power series expansion. do not show that
Bond [772]

Taylor series is f(x) = ln2 + \sum_{n=1)^{\infty}(-1)^{n-1} \frac{(n-1)!}{n!(9)^{n}(x9)^{2}  }

To find the Taylor series for f(x) = ln(x) centering at 9, we need to observe the pattern for the first four derivatives of f(x). From there, we can create a general equation for f(n). Starting with f(x), we have

f(x) = ln(x)

f^{1}(x)= \frac{1}{x} \\f^{2}(x)= -\frac{1}{x^{2} }\\f^{3}(x)= -\frac{2}{x^{3} }\\f^{4}(x)= \frac{-6}{x^{4} }

.

.

.

Since we need to have it centered at 9, we must take the value of f(9), and so on.

f(9) = ln(9)

f^{1}(9)= \frac{1}{9} \\f^{2}(9)= -\frac{1}{9^{2} }\\f^{3}(x)= -\frac{1(2)}{9^{3} }\\f^{4}(x)= \frac{-1(2)(3)}{9^{4} }

.

.

.

Following the pattern, we can see that for f^{n}(x),

f^{n}(x)=(-1)^{n-1}\frac{1.2.3.4.5...........(n-1)}{9^{n} }  \\f^{n}(x)=(-1)^{n-1}\frac{(n-1)!}{9^{n}}

This applies for n ≥ 1, Expressing f(x) in summation, we have

\sum_{n=0}^{\infinite} \frac{f^{n}(9) }{n!} (x-9)^{2}

Combining ln2 with the rest of series, we have

f(x) = ln2 + \sum_{n=1)^{\infty}(-1)^{n-1} \frac{(n-1)!}{n!(9)^{n}(x9)^{2}  }

Taylor series is f(x) = ln2 + \sum_{n=1)^{\infty}(-1)^{n-1} \frac{(n-1)!}{n!(9)^{n}(x9)^{2}  }

Find out more information about taylor series here

brainly.com/question/13057266

#SPJ4

3 0
2 years ago
The point (-3,3) lies on a circle. What is the length of the radius of this circle if the center is located at (10,6) ?
Amiraneli [1.4K]
The radius is from center to point on a circle. 
So your task is  count distance between two points: S(10,6) and A(-3,3). 
Distance between two points A(x1, y1) and B(x2, y2)  count from this formula:
|AB|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\ \\ \hbox{So:} \\ \\ r=|SA|=\sqrt{(-3-10)^2+(3-6)^2}=\sqrt{(-13)^2+(-3)^2}=\sqrt{169+9}= \\ r= \sqrt{178}
5 0
3 years ago
Read 2 more answers
What is the SAME about a line and a segment?
tatiyna

Answer:

they are both straight

Step-by-step explanation:

8 0
3 years ago
a building is 2ft from a 12 ft fence that surrounds the property a worker wants to wash a window in the building 17 ft from the
NikAS [45]
Check the picture below.

so, that'd be 20.24845673131658693325, and to the nearest tenth it'd then be 20.2   

8 0
3 years ago
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