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Troyanec [42]
3 years ago
10

75 = 4(2)^x

Mathematics
1 answer:
Valentin [98]3 years ago
3 0

Answer:

4.229

Step-by-step explanation:

75 = 4(2)^x

75/4 = 2^x

Apply ln both sides

ln(75/4) = ln(2^x)

ln(75/4) = x ln(2)

x = ln(75/4) ÷ ln(2)

x = 4.22881869

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13.5 dollar he should he expect

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Jason states that Triangle A B C is congruent to triangle R S T. Kelley states that Triangle A B C is congruent to triangle T S
Brilliant_brown [7]

Answer:

The correct option is;

Jason's statement is correct. RST is the same orientation, shape, and size as ABC

Step-by-step explanation:

Here we have

ABC = (2, 1), (3, 3), (4, 1)

RST = (-4, -2), (-3, 0), (-2, -2)

Therefore the length of the sides are as follows

AB = \sqrt{(2-3)^2+(1-3)^2} = \sqrt{5}

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BC = \sqrt{(3-4)^2+(3-1)^2} = \sqrt{5}

For triangle SRT we have

RS = \sqrt{(-4-(-3))^2+(-2-0)^2} = \sqrt{5}

RT = \sqrt{(-4-(-2))^2+(-2-(-2))^2} = 2

ST = \sqrt{(-3-(-2))^2+(0-(-2))^2} = \sqrt{5}

Therefore their dimensions are equal

However the side with length 2  occurs between (2, 1) and (4, 1) in triangle ABC and between (-4, -2) and (-2, -2) in triangle RST

That is Jason's statement is correct. RST is the same orientation, shape, and size as ABC.

4 0
3 years ago
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elijah earned $73 for 6 hours. what was his hourly wage? choose the correct one-step equation to represent this situation.
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Answer:

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2 years ago
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Step-by-step explanation:

Hey, there !!

Let's simply work with it,...................

Here, theequation is,

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or \:  {m }^{2}  = 4

or \: m  =   +  -  \sqrt{4}

or \: m = + -  \sqrt{ {2}^{2} }

cancelling square and square root we get answer is,

= (+ - 2).

It means the value of m is plus(+) minus(-) 2.

<em>Hope</em><em> </em><em>it helps</em><em>.</em><em>.</em><em>.</em>

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Which transformations will map octagon PQRSTVWZ onto itself?
Usimov [2.4K]

Answer:

Rotation, Reflection and Translation.

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