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lesya [120]
3 years ago
9

Use scientific notation to express your answer. (5x10^8)(4x10^3)

Mathematics
1 answer:
lbvjy [14]3 years ago
8 0

Answer:

2e12

Step-by-step explanation:

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Fay has a lemonade stand.
shutvik [7]
Her total profit is 3
Step-by-step explanation:
1.50 x 30 = 45
to find total profit - 45-42= 3
7 0
2 years ago
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Complex numbers &amp; DeMoivre's theory<br> If z=-1-√3 i and z^6=a+bi, a=_____ and b=_____
Mice21 [21]

Convert z to exponential/polar/trigonometric form:

r=|z|=\sqrt{(-1)^2+(-\sqrt 3)^2}=2

\tan\theta=\dfrac{-\sqrt3}{-1}\implies\theta=\dfrac{4\pi}3

\implies z=-1-\sqrt3\,i=2e^{4\pi/3\,i}=2\left(\cos\dfrac{4\pi}3+i\sin\dfrac{4\pi}3\right)

By DeMoivre's theorem,

z^6=\left(2e^{4\pi/3\,i}\right)^6=2^6e^{24\pi/3\,i}=64e^{8\pi\,i}

z^6=64\left(\cos8\pi+i\sin8\pi)=64

so that a=64 and b=0.

8 0
3 years ago
The drama club is selling candles for a fundraiser. They spend $100 on the candles and sell them for $4.50 each. How many candle
IrinaVladis [17]
So we know that they spend $100 on the candles. In order to make a $125 profit, they must sell $225 worth of candles. Each candle sells for $4.50, so:
4.5x > 225 is the inequality for that. It just means $4.50 times the number of candles has to be more than the $225 we need. To simplify it, just divide both sided by 4.5:
x > 50
They have to sell more than 50 candles. Make sense?
7 0
3 years ago
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Write the standard equation of a circle with center $\left(-3,\ 4\right)$ and radius $1$ .
Nostrana [21]

Answer:

(x + 3)² + (y – 4)² = 1

Step-by-step explanation:

(x – h)² + (y – k)² = r².

Where (h, k) is the center of the circle, and r is the radius of the circle.

6 0
3 years ago
Shane biked 1 mile less than three times the number of miles Lissette biked. Shane biked a total of 7 miles. Write an equation t
Alex_Xolod [135]

Answer:

Step-by-step explanation:

7 = 3x − 1

7 0
2 years ago
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