3 years ago

Help me please aahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

Mathematics

1 answer:

serious [3.7K]3 years ago

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Which expression is equivalent to...? Screenshots attached, please help.

BaLLatris [955]

For this case we must simplify the following expression:

$\sqrt [3] {64 * a ^ 6 * b ^ 7 * c ^ 9}$

We rewrite:

$64 = 4 ^ 3\\a ^ 6 = (a ^ 2) ^ 3\\b ^ 6 * b = ((b ^ 2) ^ 3 * b)\\c ^ 9 = (c ^ 3) ^ 3$

So:

$\sqrt [3] {4 ^ 3 * (a ^ 2) ^ 3 * (b ^ 2) ^ 3 * b * (c ^ 3) ^ 3} =\\\sqrt [3] {4 * a ^ 2 * b ^ 2 * c ^ 3) ^ 3 * b} =$

By definition of properties of powers and roots we have:

$\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}$

So:

$4a ^ 2b ^ 2 c ^ 3 \sqrt [3] {b}$

Answer:

Option B

3 0

3 years ago

Claire buys a jacket that originally cost $76, the price is marked down 25%and Claire has a coupon to further reduce the price b

Sauron [17]

Answer:

$51.30

Step-by-step explanation:

76 decrease 25% =

76 × (1 - 25%) = 76 × (1 - 0.25) = 57

57 decrease 10% =

57 × (1 - 10%) = 57 × (1 - 0.1) = 51.3

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3 years ago

Five sisters each but matching scarves in two pairs of socks the scores are priced at $12 if the total bill for all five sisters

Illusion [34]

Answer:

the one pair of socks cost $2 dollars.

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4 years ago

Daniel is using logarithms to solve the equation 2^4x = 14. Which of the following equations would be equivalent to his original

ycow [4]

Remember
$log_a(b^c)=(c)log_a(b)$
so
$2^{4x}=14$ take the log of both sides
$log(2^{4x})=log(14)$ or
$4xlog(2)=log(14)$

B is the answer

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3 years ago

Sven got money for his birthday. He spent $12 of the money and now has $28 left. Write and solve an equation to find out how muc

Dennis_Churaev [7]

Answer:

Equation

28 = X - 12

Solve for X

Isolate the X

28+12 = X

40 = X

Step-by-step explanation:

6 0

3 years ago

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