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Dahasolnce [82]

2 years ago

13

Sidney takes a rectangular piece of fabric and makes a diagonal cut from one corner to the opposite corner. The cut she makes is

15 inches long and the width of the fabric is 12 inches. What is the fabric's length?

1 answer:

tatiyna2 years ago

7 0

Answer: The length is 3 or 9 hope this helps.

Step-by-step explanation:

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Find a power series representation for the function. (Give your power series representation centered at x=0 .) f(x)=15+x

Anna71 [15]

Answer:

$f(x) = \sum\limits^{\infty}_{n=0} \frac{-(1)^n\cdot x^n}{5^{n+1}}$

Step-by-step explanation:

Given

$f(x) = \frac{1}{5 + x}$

Required

The power series centered at $x = 0$

We have:

$f(x) = \frac{1}{5 + x}$

Factor out 5 from the denominator

$f(x) = \frac{1}{5(1 + \frac{x}{5})}$

Rewrite as:

$f(x) = \frac{\frac{1}{5}}{(1 + \frac{x}{5})}$

Further, rewrite as:

$f(x) = \frac{1}{5}(1 + \frac{x}{5})^{-1}$

Expand the bracket

$f(x) = \frac{1}{5}(1 - \frac{x}{5} + (\frac{x}{5})^2 - (\frac{x}{5})^3+..........)$

Evaluate all exponents

$f(x) = \frac{1}{5}(1 - \frac{x}{5} + \frac{x^2}{25} - \frac{x^3}{125}+......)$

Open brackets

$f(x) = \frac{1}{5} - \frac{x}{5^2} + \frac{x^2}{5^3} - \frac{x^3}{5^4}+......$

Notice the pattern as:

$f(x) = \frac{1}{5} - \frac{x}{5^2} + \frac{x^2}{5^3} - \frac{x^3}{5^4}+......\± \frac{x^n}{5^{n+1}}$

So, the power series is:

$f(x) = \sum\limits^{\infty}_{n=0} \frac{-(1)^n\cdot x^n}{5^{n+1}}$

4 0

3 years ago

What is the ratio of course to cups in a carton of milk

deff fn [24]

Well, the way I would do this is count the course and write that first, than put the 2 colins and than the carton of milk ratio. I hope this helped!

7 0

3 years ago

What is y - 2 = -3 [x-7] written in standard form

Akimi4 [234]

Y=-3x+23

distribute -3, get y alone (add 2 to both sides)

3 0

3 years ago

A medical company tested a new drug on 100 people for possible side

Harlamova29_29 [7]

Answer:

A

Step-by-step explanation:

As each person counts as 0.02 since theres 50 people in each, A has the correct conclusion and probability count of 0.12 (adult) and 0.40 (child)

6 0

2 years ago

If the diameter of a circle changes from 18 cm to 6 cm, how will the circumference change?

olga_2 [115]

The circumference when the diameter is 18 = 18pi

The circumference when the diameter is 6 = 6pi

18pi/6pi=3

The circumference will become a third of what it was.

Hope this helps!

6 0

3 years ago