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3 years ago

7

Please Help!! Thomas is cutting a board into 1/4 yard pieces if the board is 3 yards long, how many pieces can Thomas cut? Use t

he number line. Choose the equation that represents the problem:

1 answer:

Thepotemich [5.8K]3 years ago

4 0

Answer:

D

Step-by-step explanation:

1 yard = 4 pieces, 3 yards = 12 pieces

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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)

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

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

f(9) = ln(9)

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

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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 area of the rectangle shown is 66m^2

tekilochka [14]

Answer:

143cm

Step-by-step explanation:

Area=2(l+b)

Substitute the values for the variables.

66=2(l+22/5)

66=2xl+2x<u>22</u>

5

66=2l+<u>44</u>

5

Cross multiply

66x5=2l+44

330=2l+44

Collect like terms

-2l = 44-330

-2l = -286

<u>-2l </u>=<u> </u><u>-286</u>

-2 -2

l=143

The missing length is 143m.

3 0

3 years ago

PleAse help ASAP!!!!!!

Brums [2.3K]

Answer:

D

Step-by-step explanation:

D is the best Answer.

6 0

3 years ago

1) Which variable did you plot on the x-axis, and which variable did you plot on the y-axis?

Liula [17]

Answer:

Step-by-step explanation:

This question is too difficult

3 0

3 years ago

If GHJ is equal to LMK, with a scale factor of 5:6, find the perimeter of GHJ.

xxTIMURxx [149]

Answer: Weeeell, 35

Step-by-step explanation:

1. By definition, the perimeter of a triangle is the sum of the lenght of each side.

2. Then, the perimeter of the triangle LMK is:

P_{LMK}=14+17+11\\P_{LMK}=42

3. If both triangles are congruent and the scale factor is 5:6 (Which you can rewrite as a fraction: 5/6), you must multiply the perimeter of the triangle LMK by this scale factor.

4. Then, you have that the perimeter of the triangle GHJ is:

P_{GHJ}=42*\frac{5}{6}=35

<em><u>What I have to say:</u></em>

<u><em>I hope I helped you, and pls mark brainliest. Have a great day BYYYE!!!!!</em></u>

4 0

3 years ago