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3 years ago

NEEDS TO BE DONE TODAY SOMEONE PLEASE

Mathematics

1 answer:

eduard3 years ago

8 0

Answer:

Step-by-step explanation:

16.

RT=17.885

RS=9.741

Angle T=33°

AB=7.077

Angle B= 47.291°

Angle A= 42.709°

∠A = 180° - B - C = 1.36944 rad =

A=78.463°

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Determine whether each expression is equivalent to 49^2t – 0.5.

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Answer:

None of the expression are equivalent to $49^{(2t - 0.5)}$

Step-by-step explanation:

Given

$49^{(2t - 0.5)}$

Required

Find its equivalents

We start by expanding the given expression

$49^{(2t - 0.5)}$

Expand 49

$(7^2)^{(2t - 0.5)}$

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Using laws of indices: $(a^m)^n = a^{mn}$

$7^{(2*2t - 2*0.5)}$

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This implies that; each of the following options A,B and C must be equivalent to $49^{(2t - 0.5)}$ or alternatively, $7^{(4t - 1)}$

A. $\frac{7^{2t}}{49^{0.5}}$

Using law of indices which states;

$a^{mn} = (a^m)^n$

Applying this law to the numerator; we have

$\frac{(7^{2})^{t}}{49^{0.5}}$

Expand expression in bracket

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Also; Using law of indices which states;

$\frac{a^{m}}{a^n} = a^{m-n}$

$\frac{49^{t}}{49^{0.5}}$ becomes

$49^{t-0.5}}$

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B. $\frac{49^{2t}}{7^{0.5}}$

Expand numerator

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$\frac{(7^2)^{2t}}{7^{0.5}}$

Using law of indices which states;

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Applying this law to the numerator; we have

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Also; Using law of indices which states;

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$7^{2t}\ *\ 7^{2*0.5}$

$7^{2t}\ *\ 7^{1}$

Using law of indices which states;

$a^m*a^n = a^{m+n}$

$7^{2t+ 1}$

This is also not equivalent to $49^{(2t - 0.5)}$

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