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3 years ago

Write the prime factorization of 500 using exponents

Mathematics

1 answer:

murzikaleks [220]3 years ago

6 0

Answer :Ex.: 2, 3, 4, 11, 10225, etc

Step-by-step explanation:

The number 500 is a composite number so, it is possible to factorize it. In other words, 500 can be divided by 1, by itself and at least by 2 and 5. A composite number is a positive integer that has at least one positive divisor other than one or the number itself. In other words, a composite number is any integer greater than one that is not a prime number.

The prime factorization of 500 = 22•53.

The prime factors of 500 are 2 and 5.

Factor tree or prime decomposition for 500

As 500 is a composite number, we can draw its factor tree:

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Write the number as an improperios fraction, 10 3/4

trapecia [35]

10 3/4

10 x 4 = 40
40 + 3 = 43

43/4 is your answer

Hope this helps

3 0

3 years ago

How do i prove 2sec^2x-2sec^2xsin^2-sin^2x-cos^2x=1

kramer

$2\sec^2x-2\sec^2x\sin^2x-\sin^2x-\cos^2x=2\sec^2x(1-\sin^2x)-(\sin^2x+\cos^2x)$

Since $\sin^2x+\cos^2x=1$ , you have

$2\sec^2x(1-\sin^2x)-(\sin^2x+\cos^2x)=2\sec^2x\cos^2x-1$

and since $\sec x=\dfrac1{\cos x}$ , you end up with $2-1=1$ .

6 0

3 years ago

Which graph represents the function f(x)=

zhenek [66]

Step-by-step explanation:

you don't show us the choices.

anyway, the real graph must be similar to the one you are showing, as it goes to - and + infinity for x = 2.

because the denominator "x-2" will be 0 for x = 2.

but the horizontal limits are both y = +3 (and not 0).

because (3x-2)/(x-2) goes more and more to 3/1 the larger (or smaller in the - direction) x gets.

7 0

2 years ago

Please help ASAP+ brainliest

Maurinko [17]

Answer:

Step-by-step explanation:

4 0

3 years ago

Please help me now plz

sergey [27]

Answer:

x=12

Step-by-step explanation:

The right side is a right triangle

The base is 1/2 of the bottom or 5

The height is x and the hypotenuse is 13

We can use the Pythagorean theorem

a^2 +b^2 = c^2

5^2 +x^2=13^2

25+x^2 = 169

Subtract 25 from each side

25-25+x^2 = 169-26

x^2 =144

Take the square root of each side

sqrt(x^2) = sqrt(144)

x= 12

4 0

3 years ago