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HACTEHA [7]
3 years ago
11

Find the largest prime divisor of $15^6 - 7^6$.

Mathematics
1 answer:
lilavasa [31]3 years ago
6 0

ANS : 11,272,976 = 2^4 * 11 * 13^2 * 379

Step by step :

[7 + b]^6 - 7^6

b^6 + 42 b^5 + 735 b^4 + 6860 b^3 + 36015 b^2 + 100842 b + 117649 -7^6

Sub 8 for b

262,144 + 1,376,256 + 3,010,560 + 3,512,320 + 2,304,960 + 806,736

11,272,976 = 2^4 * 11 * 13^2 * 379

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61,403,921,575 in word form
Nataliya [291]
The answer would be "Sixty-one billion, four hundred three million, nine hundred twenty-one thousand, five hundred seventy-five".

You can find this by labeling each section (billions, millions, thousands, etc), and writing out each number. Numbers like 61, 21 and 75 have a hyphen between the tens place and the ones place. Doing this, you'll get "sixty-one billion, four hundred three million, nine hundred twenty-one thousand, five hundred seventy-five" as an answer.

I hope this helps!
7 0
3 years ago
rows of chairs are set out for a wedding. there are 6 chairs in the first row, 14 chairs in the second row, and 22 chairs in the
fomenos
This is just a simple multi-step math problem. The first step to finding the answer is to find out the pattern of the chairs. So, we would take two of the numbers, 14 and 6, and subtract 14 from 6.

14 - 6 = 8

So now we know that the difference between the first to rows is 8 chairs. To double check this pattern you would simply subtract 14 from 22.

22 - 14 = 8

Okay, so now we are sure that the pattern is by simply adding 8 to the number of chairs in the row before. Now that we have a pattern all set, there are two different ways to solve this problem, yet I am going to use the longer method. You would simply start from 6 and keep adding on 8's until you would reach the 7th row like so:

6 + 8 = 14
14 + 8 = 22
22 + 8 = 30
30 + 8 = 38
38 + 8 = 46
46 + 8 = 54

So as you can see, the total number of chairs would be 54. This may take a little longer to do, as I happened to use the longer method for this problem. Yet I hope this still helped :)!
3 0
3 years ago
A cylinder has a height of 13 feet and a radius of 11 feet. What is its volume? Use a ~ 3.14
ArbitrLikvidat [17]

Answer:

900

Step-by-step explanation:

V=πr2h

3.14 x 11= 34.54

34.54 x 2= 69.08

69.08x 13= 898.04

898.04 rounded to nearest hundreth is 900

8 0
3 years ago
Which of the equations
makkiz [27]
The correct answer is c. D might be seen as the right answer but c is correct. C is correct because x cancels out making it a no solution
8 0
3 years ago
What is the equation of a circle with center (-3, -5) and radius 4?
o-na [289]

Answer:

(x+3)^{2} +(y+5)^{2} =16

Step-by-step explanation:

the general equation of a circle is

(x-h)^{2} + (y-k)^{2} =r^{2}

with (h,k) being the centre of the circle and r the radius

8 0
3 years ago
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