$3 {}^{4x - 5} = ( \frac{1}{27} ) {}^{2x + 10} \\ note \: \: that = \\ ( \frac{1}{27} ) = ( \frac{1}{3 {}^{3} } ) = 3 {}^{ - 3} \\ \\ 3 {}^{4x - 5} = (3 {}^{ - 3} ) {}^{2x + 10} \\ 3 {}^{4x + 5} = 3 {}^{ - 3(2x + 10)} \\ equal \: \: bases = > equal \: exponents$

$4x - 5 = - 3(2x + 10) \\ 4x - 5 = - 6x - 30 \\ 4x + 6x = - 30 + 5 \\ 10x = - 25 \\ x = - 2.5$

7 0

2 years ago

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What is π/6? I don’t know. No calculators!

Kamila [148]

Answer:

You could approximate pi to be 3.14, and divide that by 6.

Step-by-step explanation:

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2 years ago

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select all of the figures shown below that are unit cubes. (please explain what a unit cube is too and how to find one)

Marat540 [252]

Answer:

Unit Cube - Definition with Examples. A unit cube, sometimes called a cube of side 1, is a cube whose sides are 1 unit long. The volume of a 3-dimensional unit cube is 1 cubic unit, and its total surface area is 6 square units.

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2 years ago