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3 years ago

What is the GCF of M and M+1?

Mathematics

1 answer:

OleMash [197]3 years ago

4 0

Step-by-step explanation:

Given that M is a positive integer, M + 1 is also a positive integer.

Since the difference between them is only 1, they cannot have a common factor above 1.

(For example if M is even, M + 1 must be odd and therefore they do not have a common factor 2 and so on)

Hence we conclude the GCF of M and M + 1 is 1.

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Hence factorize completely the expression<br>9x³y² - 4xy⁴

Aloiza [94]

Step-by-step explanation:

$9 {x}^{3} {y}^{2} - 4x {y}^{4} \\ = x {y}^{2} (9 {x}^{2} - 4 {y}^{2} )$

4 0

3 years ago

How can I work this problem in adding integers with counters 5 + (-7)

Monica [59]

$\huge\mathsf\green{Answer}$

$5 + ( - 7) \\ 5 - 7 = - 2$

<h3>hope it would be helpful </h3>

4 0

3 years ago

a right triangle is rotated a round a line that includes one of the legs of the triangle. What figure is located?

Crank

Answer: Its a cone

Explanation:

When a right angle triangle is rotated about any of its leg a cone is formed.

5 0

3 years ago

The following six independent length measurements were made (in feet) for a line: 736.352, 736.363, 736.375, 736.324, 736.358, a

horrorfan [7]

Answer:

Assuming population data

$\sigma = \sqrt{0.000354}=0.0188$

Assuming sample data

$s = \sqrt{0.000425}=0.0206$

Step-by-step explanation:

For this case we have the following data given:

736.352, 736.363, 736.375, 736.324, 736.358, and 736.383.

The first step in order to calculate the standard deviation is calculate the mean.

Assuming population data

$\mu = \frac{\sum_{i=1}^6 X_i}{6}$

The value for the mean would be:

$\mu = \frac{736.352+736.363+736.375+736.324+736.358+736.383}{6}=736.359$

And the population variance would be given by:

$\sigma^2 = \frac{\sum_{i=1}^6 (x_i-\bar x)}{6}$

And we got $\sigma^2 =0.000354$

And the deviation would be just the square root of the variance:

$\sigma = \sqrt{0.000354}=0.0188$

Assuming sample data

$\bar X = \frac{\sum_{i=1}^6 X_i}{6}$

The value for the mean would be:

$\bar X = \frac{736.352+736.363+736.375+736.324+736.358+736.383}{6}=736.359$

And the population variance would be given by:

$s^2 = \frac{\sum_{i=1}^6 (x_i-\bar x)}{6-1}$

And we got $s^2 =0.000425$

And the deviation would be just the square root of the variance:

$s = \sqrt{0.000425}=0.0206$

6 0

3 years ago

If y=14 then what is 1.8+0.5(y+6)-2 to the third power

pychu [463]

3.8 because 14+6=20 and .5*20=10 so then you do PEMDAS which means parenthesis, exponents, multiply, divide, add, subtract left to right. So the equation now is 1.8+10-8 so you would do 1.8+10=11.8 and 11.8-8=3.8. In PEMDAS you do the parenthesis first then the exponents and then multiply and divide and then when there is only add and subtract left in the equation you do it left to right.

7 0

3 years ago