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Fed [463]
3 years ago
14

Write 108 as a product of primes. Use index notation when giving your answer.

Mathematics
2 answers:
VashaNatasha [74]3 years ago
7 0

Answer:

2^2 * 3^3

Step-by-step explanation:

108 = 2*2*3*3*3

= 2^2 * 3^3.

VikaD [51]3 years ago
3 0

Answer:

the answer to your questions Is 2^2 * 3^3

Step-by-step explanation:

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Find the distance points p (3,6) and q (7,3) to the nearest tenth?
Vladimir79 [104]
<h3>Answer: 5</h3>

=========================================================

One method is to plot the points P(3,6) and Q(7,3) on the same xy grid.  Plot a third point R at (3,3). See the diagram below.

A right triangle forms in which we can find the legs PR = 3 and RQ = 4. The hypotenuse is found through the pythagorean theorem.

a^2+b^2=c^2

3^2+4^2 = c^2

9+16 = c^2

c^2 = 25

c = sqrt(25)

c = 5

This is the length of PQ

-----------------------------------

Or you can use the distance formula which is effectively using the pythagorean theorem just in a slightly different format (though it may not be obvious).

d = \text{Distance from P to Q}\\\\d = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\\\\d = \sqrt{(3-7)^2+(6-3)^2}\\\\d = \sqrt{(-4)^2+(3)^2}\\\\d = \sqrt{16+9}\\\\d = \sqrt{25}\\\\d = 5\\\\

8 0
3 years ago
Read 2 more answers
Please help this is my last question for this page and I'm stuck on it
Lena [83]

put a 1 under the 13, so it is 13/1, and 5 5/6, turn it into an improper fraction by multiplying 5x6=30. then 30+5, which is 35. so just keep the denominator, which would be 35/6. so you would have 13/1 - 35/6. you need the same denominator, so see what both 1 and 6 would fit into. which is 6. so 13x6 which is 78, so 78/6 - 35/6, so 78-35 is 43. so 43/6, then simplify, which is 7 1/6

6 0
3 years ago
the first and last term arithmetic sequence are 9 and 165 respectively.if the sum of all the terms of the arithmetic sequence is
diamong [38]

Answer:

  • 40 terms

Step-by-step explanation:

<u>Sum of n terms formula:</u>

  • Sn = 1/2n(a1 + an)

<u>Solving for n</u>

  • 3480 = 1/2n(9 + 165)
  • 3480 = 87n
  • n = 3480/87
  • n = 40
3 0
3 years ago
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Evaluate the expression x + 8/27. Evaluate the expression for x=8/9
diamong [38]

Answer:

32/27

Step-by-step explanation:

Evaluate for x=

8 /9  + 8 /27

8 /9  + 8 /27

=32/27

(Decimal: 1.185185)

6 0
3 years ago
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I dnt really understand WILL GIVE BRAINLIEST THOUGH
fenix001 [56]

Answer: (1, -5)


x = 1


y = -5


*Hope this helps, enjoy the rest of your day! ♥️*

7 0
2 years ago
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