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kozerog [31]
2 years ago
5

An astronaut takes what he measures to be a 10-min nap in a space station orbiting earth at 8000 m/s. A signal is sent from the

station to earth at the instant he falls asleep, and a second signal is sent to earth the instant he wakes.
SAT
1 answer:
dangina [55]2 years ago
3 0

Answer:

The astronaut was asleep longer on earth then he was in space

Explanation:

calculate the boring stuff (speed, time) and it shows that he was asleep for a greater value in space

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Factor the expression into an equivalent form 12y^2-75.
elena-14-01-66 [18.8K]

Hello oddworld7836!

\huge \boxed{\mathbb{QUESTION} \downarrow}

Factor the expression into an equivalent form 12y² - 75.

\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}

12 y ^ { 2 } - 75

By observing the expression, we can see that, 3 is the only common factor in both the terms of the expression. So, take the common factor 3 out.

12 y ^ { 2 } - 75 \\  = 3\left(4y^{2}-25\right)

Now, look at (4y² - 25). They don't have any common factors but they appear in the form of the algebraic identity ⇨ a² - b² = (a + b) (a - b). Here,

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So, the (4y² + 25) becomes...

(4 {y}^{2}  - 25) \\  = \left(2y-5\right)\left(2y+5\right)

Now, bring the 3 (common factor) & rewrite the complete expression.

12 y ^ { 2 } - 75 \\  =  \boxed{ \boxed{ \bf \: 3\left(2y-5\right)\left(2y+5\right) }}

We can't further simplify it. Also, remember that the simplified form of an expression is equivalent to the expression. So, 3 (2y - 5) (2y + 5) is equivalent to 12y² - 75.

__________________

Hope it'll help you!

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Earth takes in thermal energy from the Sun in a process called . Sunlight strikes Earth’s surface at different angles. This angl
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MAJOR HEART ATTACK!!! <3
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Some states let you retake it and give you a second chance m, if your country doesn't do that then you have higher chance to take more, every year you get to take one and it determines if you get credit or honors, you can also do community service to get you more points, that helps a lot too once you get to a higher grade you get more options and tests you can take for credits and honors, I wouldn't be that worried.:)
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