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AlexFokin [52]
3 years ago
7

What's the best way to find the circumference?

Mathematics
1 answer:
Artemon [7]3 years ago
7 0
Use pi times the diameter of the circle.

Hope this helps!
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Factor completely.<br> 16n^6+40n^3+25
Andru [333]

Answer:Step  1  :

Equation at the end of step  1  :

 ((16 • (n6)) +  (23•5n3)) +  25

Step  2  :

Equation at the end of step  2  :

 (24n6 +  (23•5n3)) +  25

Step  3  :

Trying to factor by splitting the middle term

3.1     Factoring  16n6+40n3+25

The first term is,  16n6  its coefficient is  16 .

The middle term is,  +40n3  its coefficient is  40 .

The last term, "the constant", is  +25

Step-1 : Multiply the coefficient of the first term by the constant   16 • 25 = 400

Step-2 : Find two factors of  400  whose sum equals the coefficient of the middle term, which is   40 .

     -400    +    -1    =    -401

     -200    +    -2    =    -202

     -100    +    -4    =    -104

     -80    +    -5    =    -85

     -50    +    -8    =    -58

     -40    +    -10    =    -50

     -25    +    -16    =    -41

     -20    +    -20    =    -40

     -16    +    -25    =    -41

     -10    +    -40    =    -50

     -8    +    -50    =    -58

     -5    +    -80    =    -85

     -4    +    -100    =    -104

     -2    +    -200    =    -202

     -1    +    -400    =    -401

     1    +    400    =    401

     2    +    200    =    202

     4    +    100    =    104

     5    +    80    =    85

     8    +    50    =    58

     10    +    40    =    50

     16    +    25    =    41

     20    +    20    =    40    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  20  and  20

                    16n6 + 20n3 + 20n3 + 25

Step-4 : Add up the first 2 terms, pulling out like factors :

                   4n3 • (4n3+5)

             Add up the last 2 terms, pulling out common factors :

                   5 • (4n3+5)

Step-5 : Add up the four terms of step 4 :

                   (4n3+5)  •  (4n3+5)

            Which is the desired factorization

Trying to factor as a Sum of Cubes :

3.2      Factoring:  4n3+5

Theory : A sum of two perfect cubes,  a3 + b3 can be factored into  :

            (a+b) • (a2-ab+b2)

Proof  : (a+b) • (a2-ab+b2) =

   a3-a2b+ab2+ba2-b2a+b3 =

   a3+(a2b-ba2)+(ab2-b2a)+b3=

   a3+0+0+b3=

   a3+b3

Check :  4  is not a cube !!

Step-by-step explanation: I believe that is the answer because i got it right.

6 0
3 years ago
Read 2 more answers
You just found a positive trend line showing a strong relationship between homework scores and test scores for five students. Ex
Scrat [10]

The positive trend among the homework scores and the test scores would reveal that if a student does well in homework, he is likely to do well in exams. This can be explained in the sense that the homework will serve as the practice for the student before finally taking the exam.

8 0
3 years ago
Read 2 more answers
Grayson goes to BestBuy to buy a computer for $499, a mouse for $19.99, and a cable cord for $8.99. Grayson buys this on credit
Dennis_Churaev [7]

Answer:

$44

Step-by-step explanation:

499 + 19.99 + 8.99 = 527.98

527.98/12 = 43.9983333 or $44.00

6 0
2 years ago
:):):):):):):):):):):):))​
lina2011 [118]
The answer for this question is B because - -e/-f is the same as - -e/f
5 0
3 years ago
Sharon is buying a circular rug for her living room. The diameter of the rug is 8 feet. Which measurement is closest to the area
Vanyuwa [196]

Answer:

B) 50.24 ft^2

Step-by-step explanation:

radius =1/2 diameter = 4

area = Pi(r^2) = 3.14(4^2) = 3.14(16) = 50.24

6 0
3 years ago
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