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Arturiano [62]
3 years ago
7

Use a ladder diagram to find the prime factorization of 64 i need answer quick

Mathematics
2 answers:
choli [55]3 years ago
8 0

Answer:

2^5

Step-by-step explanation:

64 = 2*16 = 2*2*8 = 2*2*2*4 = 2*2*2*2*2 = 2^5

natima [27]3 years ago
3 0

Answer:

128

Step-by-step explanation:

2 |  64

2 |  32

2 |  16

2 |  8

2 |  4

2 | 2

2 | 1

Prime factorization = 2 x 2 x 2 x 2 x 2 x 2 x 2 =2^{7\\} =  128                  

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Simplify the product. 5a^2(3a^4 + 3b)
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15a^6 + 15a²b

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54$

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3 0
3 years ago
the first term of an arithmetic sequence is 10 and the sum of the first five terms is 250,find the sequence​
Crazy boy [7]

Answer:

The  sequence  is:

10, 30, 50, 70, 90.....................

Step-by-step explanation:

We have,

First term (a) = 10

Common difference (d) = ?

Sum of first 5 terms (S_{5}) = 250

or, \frac{n}{2} [{2a+(n-1)d}] = 250

or, \frac{5}{2} [2*10 + 4d]=250

or, \frac{5}{2} * 4[5+d]=250

or, 10(5 + d) =250

or, 5 + d = 25

∴ d = 20

Now,

2nd term = a + d = 10 + 20 = 30

3rd term = a + 2d = 10 + 2*20 = 10 + 40 = 50

4th term = a + 3d = 10 + 3*20 = 10 + 60 = 70

5th term = a + 4d = 10 + 4*20 = 10 + 80 = 90

8 0
3 years ago
Which of the following correctly justifies statement 4 of the two-column proof?
slavikrds [6]

Answer:

D.Transitive property of equality

Step-by-step explanation:

We are given that segment JK is parallel to segment LM

We have to prove \angle 3=\angle 6

We have to find which option correctly justifies the statement 4 of the two - column proof.

1.Statement : JK is parallel to segment LM

Reason: Given

2.\angle 7\cong \angle 6

Reason: Vertical angles theorem

3.\angle 3\cong \angle 7

Reason:Corresponding angles theorem

4.\angle 3\cong \angle 6

Reason: Transitive property of equality.

If a=b and b=c then a=c

Hence, option D is true.

3 0
3 years ago
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