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kipiarov [429]
4 years ago
12

Write the complex number in the form a + bi.

Mathematics
1 answer:
bonufazy [111]4 years ago
7 0

Answer:

\frac{3}{2} + \frac{3\sqrt{3} }{2} i

Step-by-step explanation:

Using the exact value

cos60° = \frac{1}{2} and sin60° = \frac{\sqrt{3} }{2}, then

3(cos60° + isin60°)

= 3( \frac{1}{2} + \frac{\sqrt{3} }{2} i) ← distribute by 3

= \frac{3}{2} + \frac{3\sqrt{3} }{2} i ← in the form a + bi

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Given the graph of the function f below, estimate the intervals in which fis<br> increasing.
nadezda [96]

Answer:

  (-∞, -5/2) ∪ (1, ∞)

Step-by-step explanation:

"Increasing" means the graph goes up to the right. It is increasing from the left up to the local maximum--the peak at left.

It is increasing again from the local minimum on the right to the right side of the graph.

The two sections where the graph is increasing are ...

  (-∞, -5/2) ∪ (1, ∞)

__

The graph is <em>decreasing</em> between the maximum on the left and the minimum on the right.

6 0
3 years ago
This is converting to polar form, I need help and the answer too.
Mila [183]

Answer:

2 cis (7/6 pi)

Step-by-step explanation:

r = sqrt( a^2 + b^2)

r = sqrt (-sqrt(3) )^2 + (-1)^2)

   = sqrt(3 +1)

    = sqrt(4)

    = 2

theta  = arctan (b/a)

theta = arctan (-1/-sqrt(3))

theta = 30

but this is in the third quardrant  -a and -b

so add 180

theta = 210 degrees

convert this to radians

210 * pi/180 = 210/180 * pi = 21/18 * pi = 7/6 * pi


r cis (theta)

2 cis (7/6 pi)

7 0
3 years ago
Least common multiple of 168 and 76
yuradex [85]

Answer:

Best to draw out a factor tree.

4 0
3 years ago
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Iron can exist as a solid or liquid. Which statement best comparison solid iron and liquid iron?
tester [92]

Answer: Iron, a solid at room temperature, becomes a liquid at 2800 degrees Fahrenheit (really, REALLY hot) and a gas at 5182 degrees Fahrenheit (about half the temperature of the sun). When things are hot, the molecules and atoms move around more and faster, and when they are cold they are slower.

Step-by-step explanation:

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3 years ago
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The expression for the distance traveled is rt where r represents rate and t represents time.
astraxan [27]

I don't really get what the "35,000 feet university sea level" part is saying, but without it, the answer would be:

3.5 x 550 = 1,925

The plane traveled 1,925 miles.

And with it, the answer would be:

3.5 x 550 = 1,925

35,000 ft = 6.6 mi

1,925 + 6.6 = 1,931.6

The plane traveled 1,931.6 miles.

Hope this helped a little at least.

8 0
3 years ago
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