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shepuryov [24]
3 years ago
10

What is 8.57x10-⁴ in standered form ?

Mathematics
1 answer:
marusya05 [52]3 years ago
6 0

Kaleerain5,

In order to get your answer you must remember that if the exponent is negative move to the left and if the exponent is positive you have to move to the right.

  • 8.57 \times 10^{-4}
  • The exponent is negative so move to the left:
  • 8. = .8 = .08 = .008 = .0008
  • = .000857

Therefore your answer is ".000857."

Hope this helps!

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From Euler’s relation eiθ = cosθ + isinθ,
adelina 88 [10]

Answer:

(a) The graphic representation is in the attached figure.

(b) \cos(\theta) = \frac{e^{i\theta} + e^{-i\theta}}{2}.

(c) \sin(\theta) = \frac{e^{i\theta} - e^{-i\theta}}{2i}.

Step-by-step explanation:

(a) Given a complex number e^{i\theta} we know, from Euler's formula that e^{i\theta} = \cos(\theta)+i\sin(\theta). So, it is not difficult to notice that

|e^{i\theta}|^2 = \cos^2(\theta)+\sin^2(\theta) =1

so it is on the unit circumference. Also, notice that the Cartesian representation of the complex number is (\cos(\theta), \sin(\theta)).

Now,

e^{-i\theta} = \cos(\theta)+i\sin(-\theta) = \cos(\theta)-i\sin(\theta).

Notice that e^{-i\theta} has the same modulus that e^{i\theta}, so it is on the unit circumference. Beside, its Cartesian representation is (\cos(\theta), -\sin(\theta)).

So, the points (\cos(\theta), \sin(\theta)) and (\cos(\theta), -\sin(\theta)) are symmetric with respect to the X-axis. All this can be checked in the attached figure.

(b) Notice that

e^{i\theta} + e^{-i\theta} = \cos(\theta)+i\sin(\theta) + \cos(\theta)-i\sin(\theta) = 2\cos(\theta)

Then,

\cos(\theta) = \frac{e^{i\theta} + e^{-i\theta}}{2}.

(c) Notice that

e^{i\theta} - e^{-i\theta} = \cos(\theta)+i\sin(\theta) - \cos(\theta)+i\sin(\theta) = 2i\sin(\theta)

Then,

\sin(\theta) = \frac{e^{i\theta} - e^{-i\theta}}{2i}.

7 0
3 years ago
during the NBA finals LeBron James scored six more points than kyrie Irving as Kevin love scored four more points than kyrie. Ho
Marina86 [1]
Lebron scored 26, Kyrie scored 20, and Kevin scored 24.
3 0
3 years ago
N
Nataly_w [17]

Answer:

The answer is B both players have 1/4 of chance of winning so it is a fair game

Step-by-step explanation:

6 0
3 years ago
5/7 times 28 cause I don’t know
Trava [24]

5/7 times 28 is 20

hope this helps :')

6 0
3 years ago
Read 2 more answers
Mr. Liu is driving with 10 gallons of gas in his tank. His car uses 1.5 gallons of gas per hour.
zloy xaker [14]

Answer:

he can drive for about 6 houres until his car runs out of gas

Step-by-step explanation:

10gallons=1.5×h

10=1.5×h

÷1.5 ÷1.5

6.6666666667=h

8 0
4 years ago
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