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dimaraw [331]
3 years ago
14

The table shows the percent of adults who used computers from 1984

Mathematics
1 answer:
MrMuchimi3 years ago
7 0

Answer:

3.1 (nearest tenth)

Step-by-step explanation:

Year (independent variable) = x

Percent of adults (dependent variable) = y

Rate of change is given as = \frac{y_2 - y_1}{x_2 - x_1}.

Let,

(1989, 20) = (x_1, y_1)

(2007, 76) = (x_2, y_2)

Plug in the values into the equation

Rate of change = \frac{76 - 20}{2007 - 1989}

Rate of change = \frac{56}{18} = 3.1 (nearest tenth)

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Use DeMoivre's theorem to evaluate the expression
natima [27]

Answer:

B. \dfrac{9}{2}-i\dfrac{9\sqrt{3}}{2}

Step-by-step explanation:

DeMoivre's theorem:

If the complex number z=r(\cos \alpha+i\sin\alpha), then for natural number n

z^n=r^n(\cos n\alpha+i\sin n\alpha).

In your case,

z=\sqrt{3}\left(\cos\dfrac{5\pi}{12}+i\sin\dfrac{5\pi}{12}\right)

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By DeMoivre's theorem,

z^4=(\sqrt{3})^4\left(\cos 4\cdot \dfrac{5\pi}{12}+i\sin 4\cdot \dfrac{5\pi}{12}\right)=9\left(\cos \dfrac{5\pi}{3}+i\sin\dfrac{5\pi}{3}\right)=9\left(\dfrac{1}{2}-i\dfrac{\sqrt{3}}{2}\right)=\dfrac{9}{2}-i\dfrac{9\sqrt{3}}{2}.

7 0
3 years ago
What is the equation of the line that passes through the points -1, 3/2 and 1/2, 1/2
masha68 [24]

Answer:A

Step-by-step explanation:

I did my test and this is answer maybe

7 0
3 years ago
Which one of the following is a perfect square 279 169 154 115
r-ruslan [8.4K]
The answer is 169.

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√154=12.41
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3 0
3 years ago
Read 2 more answers
Elena bought 24 sandwich buns. there were 8 buns in each pack. complete the equation below to show many packs elena bought.
lesya692 [45]
Elena bought 3 packs of sandwich buns because 8 goes into 24 three times
Hope this Helps!
5 0
3 years ago
Read 2 more answers
If the diameter of a circle is 9 cm, then its circumference is 56.52 cm.<br><br> True or false?
Brrunno [24]
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28.28 cm

so 56.52 is not correct
3 0
3 years ago
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