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3 years ago

Which expression best represent the prime factorization of 32?

Mathematics

1 answer:

Alexandra [31]3 years ago

5 0

Answer:

A: 2x2x2x2x2

Step-by-step explanation:

breaks down into

2 and 16

then 16 turns into

2 and 8

then 8 turns into

2 and 4

then 4 into

2 and 2

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3 years ago

There were 51 Elementary schools in Greenville County. Let's pretend that each elementary school at 805 students how many Elemen

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Answer:

41,055

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3 years ago

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Solve the following equations. √3 ⋅ 3^3x = 9

GREYUIT [131]

Answer:

The solution is $x = 0.5$

Step-by-step explanation:

We need to write everything as a power of 3.

We know that:

$\sqrt{a} = a^{0.5}$

$\sqrt{3} = 3^{0.5}$

And

$9 = 3^{2}$

This following property is also important:

$\frac{a^{b}}{a^{c}} = a^{b-c}$

To solve, the first step is putting everything with the variable x on one side and everything without the variable x on the other side

$\sqrt{3}.3^{3x} = 9$

$3^{0.5}.3^{3x} = 3^{2}$

$3^{3x} = \frac{3^{2}}{3^{0.5}}$

$3^{3x} = 3^{2-0.5}$

$3^{3x} = 3^{1.5}$

This means that:

$3x = 1.5$

$x = \frac{1.5}{3}$

$x = 0.5$

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3 years ago