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3 years ago

Find the quotient of 5+4i/6+8i , and express it in the simplest form

1 answer:

7 0

Remember: i² = -1

$\frac{5+4i}{6+8i}= \frac{(5+4i)(6-8i)}{(6+8i)(6-8i)}= \frac{30-40i+24i-32i^2}{36-64i^2}= \frac{30-16i-32(-1)}{36-64(-1)}= \\ \\ = \frac{30-16i+32}{36+64}= \frac{62-16i}{100}=0.62-0.16i$

Hope this helps

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A particle moves according to a law of motion s = f(t), t ≥ 0, where t is measured in seconds and s in feet. (If an answer does

NNADVOKAT [17]

The question is not clear, but it is possible to obtain distance, s, from the given function. This, I would show.

Answer:

s = 17 units

Step-by-step explanation:

Given f(t) = t³ - 8t² + 27t

Differentiating f(t), we have

f'(t) = 3t² - 16 t + 27

At t = 0

f'(t) = 27

This is the required obtainaible distance, s.

6 0

3 years ago

Simplify fully 8 x 12 x 2 y

Talja [164]

Answer:

$8 \times 12 \times 2y = 96 \times 2y = 192y$

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3 years ago

What is the mass (in grams) of 8.11×1026 CO2 molecules?

Kobotan [32]

Answer:

It is 59,275.74 grams

Step-by-step explanation:

• Molecular mass of carbon dioxide

$= (12 \times 1) + (16 \times 2) \\ = 12 + 32 \\ = 44 \: g$

[ molar masses: C = 12 g, O = 16 g ]

• From avogadro's number, it says 1 mole contains 6.02 × 10^23 molecules or atoms.

But 1 mole is equivalent to its molar mass in terms of weight, therefore;

${ \sf{6.02 \times {10}^{23} \: molecules = 44 \: g }}\\ { \sf{8.11 \times {10}^{26} \: molecules =( \frac{8.11 \times {10}^{26} }{6.02 \times {10}^{23} } \times 44) \: g}} \\ \\ = { \boxed{ \boxed{ \bf{59275.7 \: \: g}}}}$

6 0

3 years ago

23 (12v + 5) 95 Need help!

IgorC [24]

doo

doooo doooooooo

Step-by-step explanation:

7 0

3 years ago

A survey was conducted that asked 1002 people how many books they had read in the past year. results indicated that x overbar eq

Shalnov [3]

The confidence interval would be (10.44, 12.16). This means that if we take repeated samples, the true mean lies in 90% of these intervals.

To find the confidence interval, we use:
$\overline{x} \pm z*(\frac{\sigma}{\sqrt{n}})$

We first find the z-value associated with this. To do this:
Convert 90% to a decimal: 90% = 90/100 = 0.9
Subtract from 1: 1-0.9 = 0.1
Divide by 2: 0.1/2 = 0.05
Subtract from 1: 1-0.05 = 0.95

Using a z-table (http://www.z-table.com) we see that this is directly between two z-scores, 1.64 and 1.65; we will use 1.645:

$11.3 \pm 1.645*(\frac{16.6}{\sqrt{1002}})
\\
\\11.3 \pm 0.86
\\(11.3-0.86, 11.3+0.86)
\\(10.44, 12.16)$

3 0

3 years ago