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4 years ago

855000000000 in scientific notation pls help ASAP!!!

Mathematics

1 answer:

igor_vitrenko [27]4 years ago

3 0

Answer:

8.55 × $10^{11}$

Step-by-step explanation:

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Eugene wants to buy jeans at a store that is giving $10 off everything. The tag on the jeans is marked 50% off. The original pri

d1i1m1o1n [39]

14.99 would be the price after the 50% discount and the $10 off

3 0

3 years ago

1. Which of the following is equivalent to 4(y - 3 + 5y)?

tamaranim1 [39]

Step by step

distribute= 4y-12+20y

combine like terms =24y-12

therefore answer is C

7 0

3 years ago

What is the modulus and argument after (StartRoot 3 EndRoot) (cosine (StartFraction pi Over 18 EndFraction) + I sine (StartFract

fgiga [73]

Answer:

$|z| = 27$ -- Modulus

$\theta = \frac{\pi}{3}$ --- Argument

Step-by-step explanation:

Given

$((\sqrt 3)(cos\frac{\pi}{18} + i\ sin\frac{\pi}{18}))^6$

Required

Determine the modulus and the argument

We have that:

$z = ((\sqrt 3)(cos\frac{\pi}{18} + i\ sin\frac{\pi}{18}))^6$

Expand:

$z = (\sqrt 3)^6(cos\frac{\pi}{18} + i\ sin\frac{\pi}{18})^6$

$z = 27(cos\frac{\pi}{18} + i\ sin\frac{\pi}{18})^6$

A complex equation can be expressed as:

$z = |z| e^{i\theta}$

Where

$|z| = modulus$

$\theta = argument$

Where

$e^{i\theta} = (cos\frac{\pi}{18} + i\ sin\frac{\pi}{18})$

So:

$z = 27(cos\frac{\pi}{18} + i\ sin\frac{\pi}{18})^6$ becomes

$z = 27(e^{i\frac{\pi}{18}})^6$

By comparison:

$e^{i\theta} = (e^{i\frac{\pi}{18}})^6$

This gives:

${i\theta} = i\frac{\pi}{18}}*6$

${i\theta} = i\frac{6\pi}{18}}$

${i\theta} = i\frac{\pi}{3}}$

Divide through by i

$\theta = \frac{\pi}{3}$

Hence, the modulus, z is:

$|z| = 27$

And the argument $\theta$ is

$\theta = \frac{\pi}{3}$

4 0

3 years ago

(: Please answer both questions :)<br>First person gets 50 points!

Lemur [1.5K]

Answer:

1. 1350

2.2700

Step-by-step explanation:

4 0

3 years ago

which equation is the equation of the line in point slope form that has a slope of 12 and passes through the point (-1,14)

Art [367]

y - 14 = 12( x + 1)

the equation of a line in ' point - slope form ' is

y - b = m(x - a) → (m is slope and (a, b) a point on the line)

here m = 12 and (a , b) = ( - 1, 14)

y - 14 = 12(x - (-1)) ⇒ y - 14 = 12( x + 1)

5 0

3 years ago

Read 2 more answers