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castortr0y [4]
2 years ago
9

Number Theory- Find all sets of the two consecutive positive integers with a sum that is at least 8 and less less than or equal

to 24.
Mathematics
1 answer:
leva [86]2 years ago
8 0

Answer:

Step-by-step explanation:

Let the smaller number = x

Let the larger number = x + 1

(4,5)

(5,6)

(6,7)

(7,8)

(8,9)

(9,10)

(10,11)

(11,12)

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1. Look at the table.
Bezzdna [24]

Answer:

D

Step-by-step explanation:

On the X side they add 2 every time to reach the next number needed. For example if it was to keep going the nect x would be 13

4 0
3 years ago
Rectangle ABCD is congruent to rectangle. Which sequence of transformations could have been used to transform rectangle ABCD to
il63 [147K]
Rectangle ABCD was rotated 90° counterclockwise around the origin and then translated 8 units down.
7 0
3 years ago
Write a formula for the general term or nth term for the sequence. Then find the indicated term. five halves comma five fourths
nadya68 [22]
Sequence: 5/2, 5/4, 5/8, 5/16
a8=?

a1=5/2
a2=5/4
a3=5/8
a4=5/16

a2/a1=(5/4)/(5/2)=(5/4)*(2/5)=(5*2)/(4*5)=2/4=1/2
a3/a2=(5/8)/(5/4)=(5/8)*(4/5)=(5*4)/(8*5)=4/8=1/2
a4/a3=(5/16)/(5/8)=(5/16)*(8/5)=(5*8)/(16*5)=8/16=1/2
Ratio: r=a2/a1=a3/a2=a4/a3→r=1/2

an=a1*r^(n-1)
a1=5/2, r=1/2
an=(5/2)*(1/2)^(n-1)
an=(5/2)*[1^(n-1)/2^(n-1)]
an=(5/2)*[1/2^(n-1)]
an=(5*1)/[2*2^(n-1)]
an=5/2^(1+n-1)
an=5/2^n

n=8→a8=5/2^8
a8=5/256

Answers:
The formula for the general term or nth term for the sequence is an=5/2^n
a8=5/256
6 0
3 years ago
Express 60 as the product of its prime factors in ascending order and give your answer in index form
Allisa [31]

Answer:

{2}^{2}, 3, 5 are the prime factors of 60.

Step-by-step explanation:

60 = 2 \times 2 \times 3 \times 5 \\  =  {2}^{2}  \times 3 \times 5 \\

3 0
3 years ago
How many times larger is 70 than 7
Dennis_Churaev [7]

Answer:

63

Step-by-step explanation:


8 0
3 years ago
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