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2 years ago

Whats the greatest common factor of 42,28, and 70

Mathematics

2 answers:

AleksandrR [38]2 years ago

8 0

Answer:

The answer is 14

Step-by-step explanation:

hope that helps

The factors of 28 are 1,2,4,7,14,28

The factors of 42 are 1,2,3,6,7,14,21,42

The factors of 70 are 1,2,5,7,10,14,35,70

kobusy [5.1K]2 years ago

7 0

Answer:

Step-by-step explanation:

1 * 70

5 * 14

7 * 10

1 * 42

3 * 14

7 * 6

1 * 28

2 * 14

7 * 4

pick the largest factor from 70 and check it they also work with the other two. 14 is the GCF.

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2 years ago

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3 years ago

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Use the Taylor series you just found for sinc(x) to find the Taylor series for f(x) = (integral from 0 to x) of sinc(t)dt based

Marina CMI [18]

In this question (brainly.com/question/12792658) I derived the Taylor series for $\mathrm{sinc}\,x$ about $x=0$ :

$\mathrm{sinc}\,x=\displaystyle\sum_{n=0}^\infty\frac{(-1)^nx^{2n}}{(2n+1)!}$

Then the Taylor series for

$f(x)=\displaystyle\int_0^x\mathrm{sinc}\,t\,\mathrm dt$

is obtained by integrating the series above:

$f(x)=\displaystyle\int\sum_{n=0}^\infty\frac{(-1)^nx^{2n}}{(2n+1)!}\,\mathrm dx=C+\sum_{n=0}^\infty\frac{(-1)^nx^{2n+1}}{(2n+1)^2(2n)!}$

We have $f(0)=0$ , so $C=0$ and so

$f(x)=\displaystyle\sum_{n=0}^\infty\frac{(-1)^nx^{2n+1}}{(2n+1)^2(2n)!}$

which converges by the ratio test if the following limit is less than 1:

$\displaystyle\lim_{n\to\infty}\left|\frac{\frac{(-1)^{n+1}x^{2n+3}}{(2n+3)^2(2n+2)!}}{\frac{(-1)^nx^{2n+1}}{(2n+1)^2(2n)!}}\right|=|x^2|\lim_{n\to\infty}\frac{(2n+1)^2(2n)!}{(2n+3)^2(2n+2)!}$

Like in the linked problem, the limit is 0 so the series for $f(x)$ converges everywhere.

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3 years ago

Kyle brough a case of 24 12 ounce bottles of water.He drank the same amount of water each day and finished the case after 3 days

Anastaziya [24]

Answer:

96 ounces each day

Step-by-step explanation:

Divide the 24 bottles by 3

24/3 = 8

8bottles per day

8 bottles *12 ounces per bottle

96 ounces each day

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2 years ago

Whats the greatest common factor of 42,28, and 70​

Whats the greatest common factor of 42,28, and 70