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3 years ago

10

Is it possible for a composite number to have more than one prime factorization?

1 answer:

maks197457 [2]3 years ago

6 0

<span>no The prime factorization of a composite number is the process of finding all the prime numbers that when multiplied together result in the composite number. Just rearranging the order of the prime numbers doesn't change the factorization. The Commutative Property of multiplication allows us to multiply the prime factors together in any order at all.</span>

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7.2 is 15% of what number?

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Answer:

48

Step-by-step explanation:

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A map is made of a park. The scale from the park to the map is 36 mi to 6 cm. The length of Great Oaks Trail is 4.5 cm on this m

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Answer:

Salamander Trail is longer than Great Oak Trail

Step-by-step explanation:

The given parameters are;

The scale of the map is 36 mi = 6 cm

The length of Great Oak Trail = 4.5 cm

The scale of a different map is 24 mi = 3 cm

The length of Salamander Trail = 3.5 cm

Therefore, we have;

The actual length of Great Oak Trail based on the first map is given as follows;

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3 years ago

Let f(x) = x^2+1 and g(x)= 4x+7. Evaluate and simplify the following f(g(x))=

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3 years ago

Suppose it takes 4 hours for a certain strain of bacteria to reproduce by dividing in half. If 70 bacteria are present to begin

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Answer:

1 day: 4480

2 days: 8960

3 days: 13440

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Step-by-step explanation:

Given

$f(x) = 70 \cdot 64x$

Solving (a): The amount present after 1 day.

Here, $x =1$

So:

$f(1) = 70 \cdot 64*1= 4480$

Solving (b): The amount present after 2 days.

Here, $x =2$

So:

$f(2) = 70 \cdot 64*2= 8960$

Solving (c): The amount present after 3 days.

Here, $x = 3$

So:

$f(3) = 70 \cdot 64*2= 13440$

Solving (d): The inverse function of:

$f(x)= 4x^2 + 4$

Replace f(x) with y

$y= 4x^2 + 4$

Swap x and y

$x= 4y^2 + 4$

Rewrite as:

$4y^2 = x -4$

Divide by 4

$y^2 = \frac{x -4}{4}$

Take square roots

$y = \sqrt{\frac{x -4}{4}}$

Replace y with function inverse

$f^{-1}(x) = \sqrt{\frac{x -4}{4}}$

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2 years ago