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2 years ago

The GCF of 75,100 and 175 is 25

2 answers:

4 0

TRUE. 25 is the greatest common factor (GCF) of 75,100 and 175. There is no factor higher than 25 that both these numbers share.

Phoenix [80]2 years ago

3 0

Yes the gcf of 75100 and 175 is 25

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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

2 years ago

List the following in order from least (top) to greatest (bottom).<br> 6, 25, 27, V64, 764

Grace [21]

Answer:

764

It's just ascending order, easy.

3 0

2 years ago

Write y= 3/4x + 1/2 in standard form. Thanks in advance.

Luda [366]

I am not sure about the standard form.
is it the standard form of the nombers?
so y = 7,5.10 x + 5.10^-1
or the standard form of the equation?
a point of the line is (2,2)
so the equation can be written y - 2 = 3/4(x - 2)
i hope that It could help you.
bye.

8 0

3 years ago

If it takes 5 hours to drive 62 miles how fast are you going

VLD [36.1K]

Answer:

12.40mph

Step-by-step explanation:

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1 year ago

A company manufactures a certain item and sells it online. The company has a business model where the cost C, in dollars, to mak

liberstina [14]

9514 1404 393

Answer:

Step-by-step explanation:

Cost and revenue are equal when ...

C = R

2.5x +21 = 6x

21 = 3.5x . . . . . . subtract 2.5x

6 = x . . . . . . . . . .divide by 3.5

The company must sell 6 items to break even.

3 0

2 years ago

Read 2 more answers