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3 years ago

what is a number greater than 40 whose prime factorization contains 3 prie numbers that do not repeat

Mathematics

1 answer:

WITCHER [35]3 years ago

5 0

42. Because you divide into 6 and 7. 6 is divided into 3 and 2. So, 2 times 3 times 7.

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What is the answer to this problem?

olga55 [171]

Answer:

Step-by-step explanation:

It's an arithmetic sequence with common difference <em>d = 7</em>.

$a_1=-8\\\\a_2=-8+7=-1\\\\a_3=-1+7=6\\\\a_4=6+7=13$

Find 9th term.

METHOD 1<em>.</em>

<em>Calculate next terms:</em>

$a_5=13+7=20\\\\a_6=20+7=27\\\\a_7=27+7=34\\\\a_8=34+7=41\\\\a_9=41+7=48$

METHOD 2.

<em>The explicit formula of an arithmetic sequence:</em>

$a_n=a_1+(n-1)d$

Substitue:

$a_n=-8+(n-1)(7)$ <em>use the distributive property</em>

$a_n=-8+7n-7\\\\a_n=7n-15$

Put <em>n = 9</em>:

$a_9=7(9)-15=63-15=48$

7 0

3 years ago

Amber cut a 20-inch board into some shorter boards.

mylen [45]

Answer:

24 im new im learning english sorry

Step-by-step explanation:

8 0

3 years ago

What is the absolute value<br> 3|x+6|-7=20

zzz [600]

<h3>Answer:</h3>

$\large\boxed{x=3\,\,\text{or}\,\,x=-15}$

<h3>Step-by-step explanation:</h3>

In this question, we're solving the equation with the absolute value.

In this case, we would be solving for x.

The equation we are solving is:

$3|x+6|-7=20$

Lets solve:

$3|x+6|-7=20\\\\\text{First, we add 7 to both sides}\\\\3|x+6|=27\\\\\text{We need to get the absolute value by itself, so}\\\text{we would divide both sides by 3}\\\\|x+6|=9\\\\\text{For absolute value, there could be two possiblities}\\\\x+6=9\,\,\text{or}\,\,x+6=-9\\\\\text{We would solve for both}\\\\x+6=9\\\\\text{Subtract 6 from both sides}\\\\x=3\\\\x+6=-9\\\\\text{Subtract both sides by 6}\\\\x=-15\\\\\boxed{x=3\,\,\text{or}\,\,x=-15}$

Your answer would be x = 3 or x = -15

<h3>I hope this helped you out.</h3><h3>Good luck on your academics.</h3><h3>Have a fantastic day!</h3>

7 0

4 years ago

How do we write equations in slop intercept form and how do we do this entire page?

Alla [95]

So,...
the slope intercept form is y = mx+b
the m is the slope, and the b is the coordinate that intercepts the y-axis

so to start you off, 4x - 9y = 2

4x - 9y = 2
-4x - 4y

-9y = -4y +2

divide both sides by -9

<u>-9y </u>= <u>-4y + 2</u>
-9 -9

y = 4/9 x - 2/9

6 0

3 years ago

What is another way to write 21.625 as a decimal

Brilliant_brown [7]

Another way is 21.6 be

7 0

4 years ago

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