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vichka [17]
3 years ago
15

17.) An ostrich can run 174 feet in 3 seconds. What is the slope of the line and what does it

Mathematics
1 answer:
german3 years ago
3 0
  • The slope of the line is positive.
  • The slope of the line is 58.
  • The ostrich can run 58 feet per second.
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What is the slope of the line that passes through the points (-2, -1) and (2, -3)?
Lady bird [3.3K]

Answer:

m=\frac{-1}{2}

Step-by-step explanation:

Slope Formula: m=\frac{y_2-y_1}{x_2-x_1}

Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>:

m=\frac{-3-(-1)}{2-(-2)}

m=\frac{-3+1}{2+2}

m=\frac{-2}{4}

m=\frac{-1}{2}

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3 years ago
3. Use congruent triangles to find side lengths.
tatyana61 [14]

Answer:

Rahul reads 20 pages of a story book everyday and finish it in 12 days Ram is a slow reader and work for two days he was then joined by b find the total time taken to finish the work?

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3 years ago
How many nonzero terms of the Maclaurin series for ln(1 x) do you need to use to estimate ln(1.4) to within 0.001?
Vilka [71]

Answer:

The estimate of In(1.4) is the first five non-zero terms.

Step-by-step explanation:

From the given information:

We are to find the estimate of In(1 . 4) within 0.001 by applying the function of the Maclaurin series for f(x) = In (1 + x)

So, by the application of Maclurin Series which can be expressed as:

f(x) = f(0) + \dfrac{xf'(0)}{1!}+ \dfrac{x^2 f"(0)}{2!}+ \dfrac{x^3f'(0)}{3!}+...  \ \ \  \ \ --- (1)

Let examine f(x) = In(1+x), then find its derivatives;

f(x) = In(1+x)          

f'(x) = \dfrac{1}{1+x}

f'(0)   = \dfrac{1}{1+0}=1

f ' ' (x)    = \dfrac{1}{(1+x)^2}

f ' ' (x)   = \dfrac{1}{(1+0)^2}=-1

f '  ' '(x)   = \dfrac{2}{(1+x)^3}

f '  ' '(x)    = \dfrac{2}{(1+0)^3} = 2

f ' '  ' '(x)    = \dfrac{6}{(1+x)^4}

f ' '  ' '(x)   = \dfrac{6}{(1+0)^4}=-6

f ' ' ' ' ' (x)    = \dfrac{24}{(1+x)^5} = 24

f ' ' ' ' ' (x)    = \dfrac{24}{(1+0)^5} = 24

Now, the next process is to substitute the above values back into equation (1)

f(x) = f(0) + \dfrac{xf'(0)}{1!}+ \dfrac{x^2f' \  '(0)}{2!}+\dfrac{x^3f \ '\ '\ '(0)}{3!}+\dfrac{x^4f '\ '\ ' \ ' \(0)}{4!}+\dfrac{x^5f' \ ' \ ' \ ' \ '0)}{5!}+ ...

In(1+x) = o + \dfrac{x(1)}{1!}+ \dfrac{x^2(-1)}{2!}+ \dfrac{x^3(2)}{3!}+ \dfrac{x^4(-6)}{4!}+ \dfrac{x^5(24)}{5!}+ ...

In (1+x) = x - \dfrac{x^2}{2}+\dfrac{x^3}{3}-\dfrac{x^4}{4}+\dfrac{x^5}{5}- \dfrac{x^6}{6}+...

To estimate the value of In(1.4), let's replace x with 0.4

In (1+x) = x - \dfrac{x^2}{2}+\dfrac{x^3}{3}-\dfrac{x^4}{4}+\dfrac{x^5}{5}- \dfrac{x^6}{6}+...

In (1+0.4) = 0.4 - \dfrac{0.4^2}{2}+\dfrac{0.4^3}{3}-\dfrac{0.4^4}{4}+\dfrac{0.4^5}{5}- \dfrac{0.4^6}{6}+...

Therefore, from the above calculations, we will realize that the value of \dfrac{0.4^5}{5}= 0.002048 as well as \dfrac{0.4^6}{6}= 0.00068267 which are less than 0.001

Hence, the estimate of In(1.4) to the term is \dfrac{0.4^5}{5} is said to be enough to justify our claim.

∴

The estimate of In(1.4) is the first five non-zero terms.

8 0
2 years ago
A kilogram of whole wheat flour costs 6 dollars. how much does 400 grams cost
gtnhenbr [62]
400gr is 0.4 kg
so 6*0.4=2.4 dollars
Answer: 400grams cost 2.4 dollars
5 0
3 years ago
Addison worked 8 more hours this week than last week. In total, she worked 58
san4es73 [151]

Answer:

25

Step-by-step explanation:

subtract 8 from each side of the equation

2h=50

divide both sides by 2

h=25

3 0
2 years ago
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