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kicyunya [14]
3 years ago
10

What are the steps to understanding this problem as well as the answers.

Mathematics
1 answer:
svetlana [45]3 years ago
4 0

Step-by-step explanation:

1

\frac{1}{3 + 4i}  \times  \frac{3 - 4i}{3 - 4i}  =  \frac{3 - 4i}{25}  =  \frac{ 3}{25} -  \frac{4i}{25}

2)

\frac{1}{3  -  4i}  \times  \frac{3  + 4i}{3  + 4i}  =  \frac{3  + 4i}{25}  =  \frac{ 3}{25}  + \frac{4i}{25}

3)

1+0i

4)

\frac{3 - 4i}{3 + 4i}  \times  \frac{3 - 4i}{3 - 4i}  =  \frac{ - 7 - 24i}{25}  =  -  \frac{7}{25}  -  \frac{24i}{25}

5)

3 - 4i

6)

\frac{3 + 4i}{3 - 4i}  \times  \frac{3 + 4i}{3 + 4i}  =  \frac{ - 7 + 24i}{25}  =  -  \frac{7}{25}  +  \frac{24i}{25}

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Does the point (5, 8) satisfy the inequality 2x + y > 18?​
Anarel [89]

Answer:

The answer is...... NO

Step-by-step explanation:

Step 1: Plug in your values in the x and y cordinates.

2(5) + 8 > 18

Step 2: Solve

Then you multiply 2 and 5 and get 10.

SO then your equation should look like this:

10 + 8 > 18

The answer to the question is no because in order for this to work it would need to be the greater than or equal to sign, which looks like this ≥.

Hope this helps and have a great day! :)

7 0
3 years ago
A book has 200 pages. The number of mistakes on each page is a Poisson random variable with mean 0.01, and is independent of the
aleksandr82 [10.1K]

Answer:

198 pages have no mistakes.                                      

Step-by-step explanation:

We are given the following in the question:

The number of mistakes on a page follows a poison distribution with

\mu = \lambda = 0.01

Formula:

P(X =k) = \displaystyle\frac{\lambda^k e^{-\lambda}}{k!}\\\\ \lambda \text{ is the mean of the distribution}

We have to find the probability that there are no mistakes on a page.

P(X =0) = \displaystyle\frac{(0.01)a^0 e^{-0.01}}{0!} = 0.9901

Thus, approximately 99.01% of the pages have no mistakes.

Number of pages =

\text{Total number of pages}\times 99.01\%\\\\200\times \dfrac{99.01}{100}\\\\\approx 198

Thus, 198 pages have no mistakes.

5 0
4 years ago
I need help answering 1,2, and 3
EleoNora [17]

Answer:

I do not know sry

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Is 26/7 a rational number
Mariana [72]

Answer:

Yes.

Step-by-step explanation:

26/7 is a rational number since it can be represented in the form p/q where q is not equal to 0.

7 0
3 years ago
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Steve needs to take at least 24 milligrams of calcium, 15 milligrams of iron, and 16 milligrams of vitamins. Which ordered pairs
Julli [10]
The complete question in the attached figure

we have that
x----------------> r<span>epresents the number of spoonfuls of brand A 
</span>y----------------> represents the number of spoonfuls of brand B 
<span>Brand A---------------- > Calcium. Iron Vitamins ------ >  5 4 7  </span><span>milligrams
</span>Brand B---------------- > Calcium. Iron Vitamins ------ >  4 6 4  milligrams

<span>Steve needs to take at least
</span>Calcium milligrams >=24
Iron milligrams >=15
Vitamins milligrams >=16

I proceed to calculate the system inequalities

for Calcium
5x+4y>=24

for iron
4x+6y>=15

for Vitamins
7x+4y>=16

using a graph tool to solve the system of inequalities
see the attached figure

the answer is the point (1,5) and the point (4,1) are solution

5 0
4 years ago
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