admin

# Which of the following is the correct notation for the complex number

2 months ago

## Solution 1

Guest #10740
2 months ago
The answer would be .

-81-14=-95; this gives us √(-95).

The complex number i is defined as the square root of negative 1.  This means we can take this out of the square root, and that gives us

## 📚 Related Questions

Question
Ana is taking a standardized test. The test has 25 questions consisting of multiple choice and short answer questions. Each multiple choice question is worth 3 points and the short answer questions are worth 8 points for a total of 150 points. How many multiple choice questions and short answer questions are there on the test? Solve by combination/elimination.
Solution 1
10 Multiple choice questions and 15 short answer questions

Question
genna painted a table top that is shaped like a circle . the circumferance of the tabletop is 6 feet which measurement is closest to the area of the tabletop in square feet?
Solution 1
To solve this problem you must apply the proccedure shown below:

1. You must apply the formula for calculate the area of a circle, which is:

A=πr^2

Where A is the area of the circle and r is the radius of the circle.

2. You have that the diameter is 6 feet, then the radius is:

r=D/2
r=3 feet

3. When you apply the formula shown above, you obtain:

A=9π feet^2
A=28.27 feet^2

The answer is: 28.27 feet^2
Solution 2
Circumference  = 6 ft

circumference = 2*pi*r = 6

solve for r:
r = 6/(2*pi) = 0.9554 ft

area = pi*r^2 = 0.9554*0.9554 * 3.14 = 2.866 sq. ft
Question
In a group of 100 people; 25 were regular apple eaters and 35 did not like apples. Find the probability that a people picked from this group at random is either a regular apples eater or did not like apples?
Solution 1
25:35 i think... hope this helps! Good Luck with your homework!!!
Question
Over the winter is snowed 36 days out of 40 days. What is the snow days to days?A) 7:10 B) 9:10 C) 10:7 D) 10:9
Solution 1
The answer is B) 9:10. You need to simplify 36:40 and the simplified answer would be B)9:10 Hope this helps! Good Luck with your homework!
Question
Evaluate the expression 2ab 3+ 6a 3 - 4ab2 when a=2 and b=4. a.176 b.180 c.215 d.216
Solution 1
The first step for solving this expression is to insert what a and b stand for into the expression. This will change the expression to the following:
2(2)(4)³ + 6(2)³ - 4(2)(4)²
Now we can start solving this by factoring the expression
2(2 × 4³ + 3 × 2³ - 4 × 4²)
Write 4³ in exponential form with a base of 2.
2(2 × + 3 × 2³ - 4 × 4²)
Calculate the product of -4 × 4².
2(2 × + 3 × 2³ -4³)
Now write 4³ in exponential form with a base of 2.
2(2 × + 3 × 2³ -)
Collect the like terms with a base of 2.
2( + 3 × 2³)
Evaluate the power of 2³.
2( + 3 × 8)
Evaluate the power of .
2(64 + 3 × 8)
Multiply the numbers.
2(64 + 24)
Add the numbers in the parenthesis.
2 × 88
Multiply the numbers together to find your final answer.
176
This means that the correct answer to your question is option A.
Let me know if you have any further questions.
:)
Question
Match the trinomials with their factors. Tiles a2 + a − 20 a2 − 9a + 20 a2 − 8a − 20 a2 − 12a + 20 a2 − 19a − 20 Pairs Factors Trinomials (a − 4)(a − 5) arrowBoth (a − 10)(a − 2) arrowBoth (a − 4)(a + 5) arrowBoth (a − 10)(a + 2) arrowBoth
Solution 1
For this case we have to factorize the following trinomials as the product of two binomials.
We have then:
a2 + a - 20
(a + 5) (a-4)

a2 - 9a + 20
(a-5) (a-4)

a2 - 8a - 20
(a-10) (a + 2)

a2 - 12a + 20
(a-10) (a-2)

a2 - 19a - 20
(a-20) (a + 1)
Solution 2

Answer:

a2 + a - 20

(a + 5) (a-4)

a2 - 9a + 20

(a-5) (a-4)

a2 - 8a - 20

(a-10) (a + 2)

a2 - 12a + 20

(a-10) (a-2)

a2 - 19a - 20

(a-20) (a + 1)

Step-by-step explanation:

Question
On the first five performance scores at work,your score were:84,83,92,80, and 95.On the average, what was the score? a.62 b.84.75 c.86.8 d.88.5
Solution 1
84+83+92+80+95=434
434/5= 86.8
The correct answer is C
Question
Given a mean of 61.2 and a standard deviation of 21.4 what is the z score of the value 90 rounded to the nearest tenth?
Solution 1

Answer:

The z-score of 90 is 1.35

Step-by-step explanation:

The z-score is calculated using the formula:

From the question, it was given that the mean is

and the standard deviation is

and x=90.

We substitute the given values to obtain:

Solution 2

Answer:

1.35

Step-by-step explanation:

Question
Evaluate ab for a = 2 3/4 and b = 4/5
Solution 1
Saying ab in Algebra means a×b.
So, you're multiplying 2 to .
But, the mixed number is best as a mixed number, so it becomes
So, this happens to become , multiplying to .
BUT, you need to simplify it!
The simplest form is which is your answer.
Have a nice day! ♪
Question
Write the number thirty five million thirty thousand
Solution 1
35,030,000 is the correct answer, hope this helps.

Solution 2
35,030,000 hope this helps! (:

2647929
842281
748681
586256
406852
368373
348603
324927
199835
130075
112100
106146
77164
23213
22589
19607
17108
13966
10987
3389

3423409
2092250
1518097