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Mathematics

1 answer:

olya-2409 [2.1K]2 years ago

5 0

Answer:

I'm not completely sure but if they want exponents for 6 * 6 * 6 then it should be $6^{3}$

Step-by-step explanation:

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you earn $420 per week. You pay social security taxes of 7.65% federal taxes of 22%, and state taxes of 5.95%. What is your take

Marysya12 [62]

First you need to solve for how much you lose for each individual tax, so 420x.0765 will give you how much money you lose to social security tax, then do the same for the other types and add them together, the value will give you the amount you have lost, so taking the total (420) minus the amount lost you will have the amount that you can "take home" So 420-((420x.0765)+(420x.22)+(420x.0595)) = amount still in your pocket

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3 years ago

What is the midpoint of the segment shown below?

alex41 [277]

Answer:

B. (-9/2, -11/2)

Step-by-step explanation:

-12+3 / 2 = -9/2

-3+-8 / 2 = -11/2

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3 years ago

A woman takes 12 equal-sized steps. She walks a total of 10 yards

kiruha [24]

Answer:

Each step is 30 inches

Step-by-step explanation: One yard is 36 inches. 10 yards is 360 inches.

360 divided by 12 is 30.

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2 years ago

Sin(60-theta)sin(60+theta)

ehidna [41]

Step-by-step explanation:

$\sin(60 - \theta) \sin(60 + \theta) \\ = \{ \sin(60) \cos( \theta) - \sin( \theta) \cos(60) \} \{ \sin(60) \cos( \theta) + \cos(60) \sin( \theta) \} \\ = \{ \frac{ \sqrt{3} }{2} \cos( \theta) - \frac{1}{2} \sin( \theta) \} \{ \frac{ \sqrt{3} }{2} \cos( \theta) + \frac{1}{2} \sin( \theta) \} \\ \\$

from difference of two squares:

${ \boxed{(a - b)(a + b) = ( {a}^{2} - {b}^{2} ) }}$

therefore:

$= \{ {( \frac{ \sqrt{3} }{2}) }^{2} { \cos }^{2} \theta \} - \{ {( \frac{ \sqrt{3} }{2} )}^{2} { \sin }^{2} \theta \} \\ \\ = \frac{3}{4} { \cos }^{2} \theta - \frac{3}{4} { \sin}^{2} \theta$