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3 years ago

BgxjsjskznshshzdhhanakOaj

Mathematics

1 answer:

gavmur [86]3 years ago

6 0

Answer:

12 mm : 5 meters

Step-by-step explanation:

We need to write the ratio of drawing: real life

48 mm: 20 meters

We can divide each term by 4

48mm/4 : 20 meters/4

12 mm : 5 meters

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

vampirchik [111]

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

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

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

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

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

$7^{(4t - 1)}$

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

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

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

Also; Using law of indices which states;

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

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

$49^{t-0.5}}$

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

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

Expand numerator

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

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

Using law of indices which states;

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

Applying this law to the numerator; we have

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

$\frac{7^{4t}}{7^{0.5}}$

Also; Using law of indices which states;

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

$\frac{7^{4t}}{7^{0.5}}$ = $7^{4t - 0.5}$

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

C. $7^{2t}\ *\ 49^{0.5}$

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

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

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

Using law of indices which states;

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

$7^{2t+ 1}$

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

6 0

3 years ago

How many 2/3 are in six

padilas [110]

0.66666 that’s the answer

4 0

3 years ago

GIVING BRAINLIEST ONLY IF CORRECT

Kipish [7]

<em>Option 2 </em>

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It's just the black part and the empty square under which is 1/2 and the red square with the empty square under is 1/2 so it's 1/2 x 1/2

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2 years ago

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Please help! ! Timed !******

lord [1]

Answer:

(fоg)(x) = x

Step-by-step explanation:

f(x) = (x-1)/3

g(x)=3x+1

(fоg)(x) = f(g(x)) = ((3x+1)-1) / 3 = 3x / 3 = x

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2 years ago

A coin flipped 14 times and it comes up heads 10 times what is the experimental probability of the coin’s coming up heads ?

Gekata [30.6K]

The answer is B.

If a coin is flipped 14 times and lands on heads 10 times the fraction would equal to 10/14.

10/14 simplifies to 5/7.

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3 years ago

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