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3 years ago

Please please help me out with this !!!!!!!!

Mathematics

2 answers:

Galina-37 [17]3 years ago

7 0

(-2-3i)-(3+9i)
= 6i-5

Pachacha [2.7K]3 years ago

7 0

Answer:

Step-by-step explanation:

Expressing the complex numbers in coordinate form

- 2 - 3i → (- 2, - 3)

3 + 9i → (3, 9)

To calculate the distance d use the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 2, - 3) and (x₂, y₂ ) = (3, 9)

d = $\sqrt{(3+2)^2+(9+3)^2}$

= $\sqrt{5^2+12^2}$

= $\sqrt{25+144}$

= $\sqrt{169}$

= 13

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Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 7.5 parts

Hunter-Best [27]

Answer:

The value of the test statistic is $t = 2.1$

Step-by-step explanation:

Our test statistic is:

$t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the expected value, $\sigma$ is the standard deviation and n is the size of the sample.

The level of ozone normally found is 7.5 parts/million (ppm).

This means that $\mu = 7.5$

The mean of 24 samples is 7.8 ppm with a standard deviation of 0.7.

This means that $X = 7.8, \sigma = 0.7, n = 24$

Test Statistic:

$t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$t = \frac{7.8 - 7.5}{\frac{0.7}{\sqrt{24}}}$

$t = 2.1$

The value of the test statistic is $t = 2.1$

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2 years ago

E is the midpoint of DF, DE= 73 – 3, and EF = 4.: +3.

Damm [24]

Answer:

i don't really understand what you are asking me

Step-by-step explanation:

4 0

3 years ago

Find the domain and range of the graph

Rainbow [258]

Answer:

Domain: $[-2,1)$

Range: $[0,4]$

Step-by-step explanation:

Domain

We can see that the piecewise function starts at x=-2, which is included, and ends at x=1, which isn't included. To represent the x-values that lie in between these two endpoints, you would write $[-2,1)$ . Brackets show that one endpoint is included while parentheses show that one endpoint isn't included.

Range

Following this logic, the range has its y-values go from 0 to 4 with both endpoints included if you were to trace the function. Thus, your range would be $[0,4]$ .

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2 years ago

3) (7,5), (9,-4) A) (-1, 4.5) G) (6, 2.5) B) (11.-13) D) (8,0.5)

Mnenie [13.5K]

Answer:

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2 years ago

Write out the steps in solving 3/4 x 2 2/5

max2010maxim [7]

3/4 × 2 2/5

Turn 2 2/5 into an improper fraction.

2 2/5 = (5 × 2) + 2 = 12

So, 2 2/5 = 12/5

So, our new question is : 3/4 × 12/5

Multiply the numerators (top numbers) with one another.

Numerators : (3 × 12) = 36

Multiply the denominators (bottom numbers) with one another.

Denominators : (4 × 5) = 20

So, our answer is 36/20

However, we need this to be a mixed number.

So, how many times does 20 go into 36? Once!

So, Multiply 20 with 1, and then subtract that number from 36! :)

20 × 1 = 20

36 - 20 = 16

So, our answer is :

1 16/20

Then, you simplify it once more.

Divide the numerator and denominator by 4.

16 ÷ 4 = 4

20 ÷ 4 = 5

So, our final answer is 1 4/5

~Hope I helped!~

7 0

2 years ago

Read 2 more answers