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melisa1 [442]
3 years ago
14

IS IT POSSIBLE FOR A COMPOSITE NUMBER TO HAVE MORE THAN ONE PRIME FACTORIZATION?

Mathematics
1 answer:
Artyom0805 [142]3 years ago
4 0
No, because now we can consider "The Fundamental Theorem of Arithmetic", this Theorem states; "that every integer greater than 1 either is prime itself or is the product of prime numbers, and that, although the order of the primes in the second case is arbitrary, the primes themselves are not"
<span>Therefore there is only one prime factorization of a composite number.

</span>It is actually not possible to not have any prime numbers, because even prime numbers are composed by only one prime number, so composite numbers have more them one prime number in them.
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How many centimeters are in 5.2 inches? [1 inch = 2.5 cm]
Molodets [167]
This would be about 13 cm
6 0
3 years ago
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The figure below shows the design of a truss to support the weight of a roof. In this truss design, ∠A⩭∠D and ĀF⩭DF.
bearhunter [10]

Answer:

m\angle A= 30^{\circ}

Step-by-step explanation:

In the question, we're given \angle A\cong \angle D. Therefore, the measure of these two angles must be equal.

To find the value of x, set these two angles equal to each other:

4x-26=x+16

Add 26 and subtract x from both sides:

3x=42

Divide both sides by 3:

x=\frac{42}{3}=14

Since \angle A was labelled as 4x-26, substitute x=14 to find its measure:

\angle A=4(14)-26,\\\angle A=56-26,\\\angle A=\boxed{30^{\circ}}

You can also substitute x=14 into the label of angle D as angle A is congruent to angle D for easier calculations (14+16=\boxed{30^{\circ}}).

5 0
3 years ago
What is the average (or mean) of the following numbers: 12, 28, 15, 25, 20 *
Lerok [7]
It’ll be 20.

12+28+15+25+20=100

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Add all the numbers and then divide by the total amount of numbers there and that’s your answer
8 0
3 years ago
PLEASE HELP!!!!!!! this is really hard!!!
bekas [8.4K]
When Anne Betty and Cynthia compared the amount of money each had, they discovered that Anne and Betty together had $12 Betty and Cynthia together had $18 and Anne and Cynthia together had $10. 
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a +b = 12
b + c = 18
a + c = 10
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4 0
3 years ago
A certain car depreciates such that its value at the end of each year is p % less than its value at the end of the previous year
icang [17]

Answer:

b(b/a)^2

Step-by-step explanation:

Given that the value of the car depreciates such that its value at the end of each year is p % less than its value at the end of the previous year and that car was worth a dollars on December 31, 2010 and was worth b dollars on December 31, 2011, then

b = a - (p% × a) = a(1-p%)

b/a = 1 - p%

p% = 1 - b/a = (a-b)/a

Let the worth of the car on December 31, 2012 be c

then

c = b - (b × p%) = b(1-p%)

Let the worth of the car on December 31, 2013 be d

then

d = c - (c × p%)

d = c(1-p%)

d = b(1-p%)(1-p%)

d = b(1-p%)^2

d = b(1- (a-b)/a)^2

d = b((a-a+b)/a)^2

d = b(b/a)^2 = b^3/a^2

The car's worth on December 31, 2013 =  b(b/a)^2 = b^3/a^2

4 0
3 years ago
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