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2 years ago

Find the additive inverse of -7+5i.

Mathematics

1 answer:

Deffense [45]2 years ago

4 0

Answer:

Required additive inverse is $-7-5i$ .

Step-by-step explanation:

Given number is $-7+5i$ .

Now we need to find about what is that additive inverse of the given number $-7+5i$ .

We know that if complex number is $a+bi$ then it's additive inverse is given by $a-bi$ .

Basically we need to change the sign of imaginary term.

imaginary term in given number $-7+5i$ is +5i.

Changing sign of +5i gives -5i.

Hence required additive inverse is $-7-5i$ .

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2 years ago

Students are going through a three-step process to obtain their ID cards. Each student will spend 2 minutes at the registration

kondaur [170]

Answer:

C. 160 minutes

Step-by-step explanation:

The calculation to be made will be to process 20 students

We have, according to the exercise, the following data:

For process 1: Registration table, Number of servers = 1, Time spent = 2 minutes

For process 2: cashier, number of servers = 3, time spent = 10 minutes

For process 3: ID processing station, number of servers = 4, time spent = 20 minutes

Demand rate = 0.125

To solve it, we will look for the capacity that the server has of the previously mentioned processes, calculating the following:

Capacity = Number of students served per minute

We can say that at the registration table we observe:

Time needed to serve 1 student = 2 minutes

Capacity = 0.5 students per minute

With the cashier we analyze the following:

Time needed to serve 1 student = 10 minutes

Number of servers = 3

Capacity = 0.3 students per minute

ID processing station

Time needed to serve 1 student = 20 minutes

Number of servers = 4

Capacity = 0.2 students per minute

When comparing the processes, it is definitely found that the bottleneck is the ID processing station, where it takes more time to serve a student, which leads us to infer that the capacity of the process is comparable to the capacity of the process bottleneck

Process capacity = 0.2 students per minute

Given, demand rate = 0.125 students per minute

We observe that the demand rate is less than the capacity of the process, therefore we can infer that the number of students served during each minute is the same as the demand rate.

In this way we find that:

Number of students served per minute = 0.125

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We conclude that the answer is that it will take 160 minutes to serve 20 students.

6 0

2 years ago

Read 2 more answers

There are two approaches to solving the equation -3x + 10 = 4x - 20 Subtract 4x from both sides. OR Add 3x to both sides. –7x +

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Answer:

There are two approaches to solving the equation -3x + 10 = 4x - 20. The value of x after solving in both methods is 4.2857.

Solution:

Given, equation is -3x + 10 = 4x – 20.

We have to solve the given equation in two methods, now let us see the first method.

1st method ⇒ by subtracting 4x from both sides.

Then, -3x + 10 = 4x – 20 ⇒ -3x + 10 – 4x = 4x – 20 – 4x ⇒ -3x – 4x = -20 – 10 ⇒ -7x = -30 ⇒ 7x = 30

Then, x = $\frac{30}{7}$

Now, let us use the 2nd method.

2nd method ⇒ by adding 3x on both sides.

Then, -3x + 10 = 4x – 20 ⇒ -3x + 10 + 3x = 4x – 20 + 3x

⇒ 10 + 20 = 4x + 3x

⇒ 7x = 30

⇒ x = $\frac{30}{7}$

Hence, the value of x after solving in both methods is $\frac{30}{7}$ = 4.2857.

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2 years ago

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In a certain classroom ,12.5% of the students own at least one pet. If there are 32 students in the classroom,how many students

Y_Kistochka [10]

Answer:

Step-by-step explanation:

Given that 12.5% of students own at least 1 pet, then the percentage of students who do not own a pet is

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Calculate 87.5% of 32, that is

$\frac{87.5}{100}$ × 32

= 0.875 × 32 = 28 ← number of students who do not own a pet

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2 years ago

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Suppose a research paper states that the distribution of the daily sea-ice advance/retreat from each sensor is similar and is ap

Luda [366]

Answer:

The value of the parameter is λ is 0.03553357

Step-by-step explanation:

Consider the provided function.

$f(x) = 0.5\lambda e^{-\lambda |x|}$ for −∞ < x < ∞.

It is given that standard deviation is given as 39.8 km.

Now we need to calculate the value of parameter λ.

The general formula for the probability density function of the double exponential distribution is: $f(x)=\frac{e^{-|\frac{x-\mu}{\beta}|}}{2\beta}$

Where μ is the location parameter and β is the scale parameter.

Compare the provided equation with the above formula we get.

$\lambda=\frac{1}{\beta}$ and μ = 0.

Standard deviation = √2β

$S.D=\sqrt{2} \beta\\\beta=\frac{39.8}{\sqrt{2}}\\\beta=28.1424$

Now substitute the value of β in $\lambda=\frac{1}{\beta}$ .

$\lambda=\frac{1}{28.1424}=0.03553357$

Hence, the value of the parameter is λ is 0.03553357

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2 years ago