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1 year ago

What is the absolute value of the complex number -4-√2i?

Mathematics

2 answers:

Leni [432]1 year ago

8 0

Answer-

The absolute value of the complex number is $3\sqrt2$

Solution-

The given complex number is,

$=-4-\sqrt2i$

The absolute value or modulus of a complex number a+bi, is defined as the distance between the origin (0,0) and the point (a,b) in the complex plane.

Its value is calculated by,

$|a+bi|=\sqrt{a^2+b^2}$

So,

$|-4-\sqrt2i|\\\\=\sqrt{(-4)^2+(-\sqrt2)^2}\\\\=\sqrt{16+2}\\\\=\sqrt{18}\\\\=3\sqrt2$

nataly862011 [7]1 year ago

4 0

Hello :
| -4-√2i | = √((-4)² +(-√2)²) =√(16+2) =√18 = √(9×2) = √9 × √2 = 3√2.. (answer B)

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You are testing a claim that the standard deviation of time all women spend washing their hair in the morning is 15 seconds. You

dedylja [7]

Answer:

There is sufficient evidence to support the claim that the standard deviation of time all women spend washing their hair in the morning is 15 seconds

Step-by-step explanation:

We shall need to formulate the hypotheses but first we need to understand the claim in context of this question. The claim is that the standard deviation of time all women spend washing their hair in the morning is 15 seconds. In mathematical notation, this claim can be written as follows;

σ = 15

Clearly the claim contains an equality sign and thus it qualifies to be our null hypothesis;

H0: σ = 15

The complement of the above hypothesis will be our alternative hypothesis;

Ha: σ ≠ 15

We are then informed that the initial conclusion of the test fails to reject the null hypothesis. In short this implies that we fail to reject the claim that the standard deviation of time all women spend washing their hair in the morning is 15 seconds since this claim is our null hypothesis. If we fail to reject a claim in hypothesis testing, this implies that there is sufficient evidence to support the claim. Therefore, there is sufficient evidence to support the claim that the standard deviation of time all women spend washing their hair in the morning is 15 seconds

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1 year ago

Julissa is running a 10-kilometer race at a constant pace. After running for 18 minutes, she completes 2 kilometers. After runni

viktelen [127]

Answer:

the answer is C

Step-by-step explanation:

using her first part 2 kilometers in 18 minutes

total kilometers - 2

and total time - 18

so you would get:

k – 2 = (t – 18)

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1 year ago

Pls find the value for Y

frozen [14]

Answer:

Step-by-step explanation:

11y - 6 = 104

11y = 104 + 6

11y = 110

y = 110 :11

y = 10

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check

11*10-6=104

110=104+6

110=110

the answer is good

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1 year ago

Read 2 more answers

Gavin wrote the equation p = StartFraction 3 (s + 100) Over 4 EndFraction to represent p, the profit he makes from s sales in hi

Molodets [167]

Answer:

$s = \frac{4p}{3} -100$

Step-by-step explanation:

Given

$p = \frac{3(s + 100)}{4}$

Required

Solve for s

$p = \frac{3(s + 100)}{4}$

Multiply both sides by 4

$4 * p = \frac{3(s + 100)}{4} * 4$

$4 * p = 3(s + 100)$

$4p = 3(s + 100)$

Open bracket

$4p = 3s + 300$

Subtract 300 from both sides

$4p -300= 3s + 300 -300$

$4p -300= 3s$

Divide both sides by 3

$\frac{4p -300}{3}= \frac{3s}{3}$

$\frac{4p -300}{3}= s$

$s = \frac{4p -300}{3}$

Split

$s = \frac{4p}{3} -\frac{300}{3}$

$s = \frac{4p}{3} -100$

5 0

1 year ago

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Arisa [49]

Answer:

50 pmh

Step-by-step explanation:

Distance traveled by plane = 900 miles

Distance traveled by car = 250 miles

Let the speed of the car is c. The plane travels 250 mph faster than the car, so speed of the plane will be c + 250

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Distance = Speed x Time

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900 = (c + 250)(t - 2) Equation 1

Likewise, the equation for car will be:

250 = ct

From here, t = 250/c

Using this value in Equation 1, we get:

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Since value of speed cannot be negative, we only consider the positive value. So from here we can conclude that the speed of the car was 50 mph

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