Using complex numbers, it is found that the correct option regarding the expression is:
a. Greater than 1.
What are complex numbers?Complex numbers are numbers that have a real and an imaginary part, and are modeled by:
[tex]z = a + bi[/tex]
In which:
a is the real part.b is the imaginary part.The magnitude of the number is:
[tex]|z| = \sqrt{a^2 + b^2}[/tex]
In this problem, the number is:
[tex](0.7 + 0.7i)n[/tex]
The smallest possible value is n = 4, hence:
[tex]z = 1.4 + 1.4i[/tex]
And the magnitude is:
[tex]\sqrt{1.4^2 + 1.4^2} = 1.98[/tex]
Which is greater than 1, hence option a is correct.
You can learn more about complex numbers at https://brainly.com/question/25572463
Answer: it’s b
Step-by-step explanation: the answer is .98 which is less than 1
What is the
lcm of 4, 7, and 8?
Answer:
56
Step-by-step explanation:
4, 7 and 8 all go into 56
Which number has a 6 in the tenths place
Answer:
c
Step-by-step explanation:
I need help asap, please and thank you :))
Answer:
What is the value of x?
x = 40 degrees.
What is the measure of angle AFE?
Angle AFE = 140 degrees
What is the measure of angle BFD?
Angle BFD = 140 degrees.
Step-by-step explanation:
Angle AFC is 90 degrees.
To find angle x, we have to subtract angle BFC.
90 - 50 = 40 degrees.
Line BFE is 180 degrees.
To find angle AFE, we have to subtract angle x from 180 degrees.
We have solved x already.
180 - 40 = 140 degrees.
Angle BFD is just 90 degrees plus 50 degrees.
90 + 50 = 140 degrees.
Answer:
x = 40
m<AFE = 140
m<BFD = 140
Step-by-step explanation:
1. Finding X
As one can see, AD is a straight line (hence the three angles that add up to is equal 180 degrees). It is given that m<CFD is 90 degrees (signified by the box).
Given;
AD - straight line
m<AFB + m<BFC + m<CFD = 180
( m<AFB, m<BFC, m<CFD form line AD, the degree measures in al ine equal 180, hence m<AFB + m<BFC + m<CFD = 180)
m<BFC = 50
m<CFD = 90 (signified by box around it)
m<AFB + m<BFC + m<CFD = 180 parts whole postulate
x + 50 + 90 = 180 substitution
x + 140 = 180 algebra
x = 40
2. Finding m<AFE and m<BFD
When two straight lines intersect, four angles are formed. The angles that are opposite to each other are called vertical angles, and vertical angles are congruent in other words, have the same measure.
Given;
m<BFD = m< AFE
m<BFC + m<CFD = m<BFD
m<BFC = 50
m<CFD = 90
m<BFC + m<CFD = m<BFD Given (parts whole postulate)
50 + 90 = m<BFD substitution
140 = m<BFD algebra
140 = m<BFD = m<AFE substition
find the y intercepts I'll mark the brainliest
Answer:
1. (0,-2)
2. (0,8)
3. (0,7)
4. (0 , [tex]\frac{1}{2}[/tex])
5. (0,-3.5)
6. (0,-4)
7. (0,0)
8. (0,-4)
9. (0,5)
10. (0,0)
Step-by-step explanation:
there are 10 boxes in total, slope is y = mx + b
the slope is always the constant.
constant: number without a variable.
y - intercept:
y = mx + b
if there is nothing after the slope it means the y -intercept is 0
The Kid Laroi
my teacher didn't teach me anything about scale factors and then assigned it to me- pls show work so that I can understand this hhhhhhhh
Answer:
x = 9 cm
y = 30 cm
Step-by-step explanation:
Here, we want to get the lengths of the missing sides
Mathematically if two shapes are similar, the ratio of their corresponding sides are equal
Thus, we have that:
15/50 = x/30
50 * x = 15 * 30
x = (15 * 30)/50
x = 450/50
x = 9 cm
Also;
y/50 = 18/30
30 * y = 50 * 18
y = (50 * 18)/30
y = 30 cm
HELPPPP!!!
(WILL MARK BRAINLIEST)
Answer:
y÷8
Step-by-step explanation:
quotient is just a fancy word for division
Isaiah is working two summer jobs, making $16 per hour tutoring and $10 per hour clearing tables. Isaiah must earn at least $110 this week. Write an inequality that would represent the possible values for the number of hours tutoring, tt, and the number of hours clearing tables, cc, that Isaiah can work in a given week.
Answer:
16t + 10c > 110
Step-by-step explanation:
Cost of tutoring per hour = $16
So, cost of tutoring t hours = $16t
Cost of clearing tables per hour = $10
So, cost of clearing tables c hours = $10c
Since, Isaiah must earn at least $110 this week.
Therefore, the required inequality will be given as:
16t + 10c > 110
An arithmetic sequence has this explicit formula: an = 14 + (n - 1)3. What is the recursive formula?
Answer:
[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + 3 with a₁ = 14
Step-by-step explanation:
The explicit formula for an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference, then
[tex]a_{n}[/tex] = 14 + (n - 1)3
has a₁ = 14 and d = 3
A recursive formula allows a term in the sequence to be found by adding d to the previous term, thus recursive formula is
[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + 3 , with a₁ = 14
Question 5 Multiple Choice Worth 4 points)
(04.07A)
What is the y-intercept of the line shown?
6-
5-
4-
3
2-
0
0
3
4
1
2
0
1
3
3.5
Answer:
3
Step-by-step explanation:
The y-intercept is the line that crosses the y axis on the gragh
partial products of 2.3 × 2.6
Answer:
The answer of the study guide bis 0.
Step-by-step explanation:
Answer:
this is the answer
Step-by-step explanation:
5.98
please help me out ASAP
9(x - 2) = 7x + 5 a) true for all values of x b) true for one value of x c) true for no values of x
Answer:
b) true for one value
Explanation:
If you solve for x, there is only one value of x
Answer:
(b)
Step-by-step explanation:
9(x - 2) = 7x + 5 ← distribute left side
9x - 18 = 7x + 5 ( subtract 7x from both sides )
2x - 18 = 5 ( add 18 to both sides )
2x = 23 ( divide both sides by 2 )
x = [tex]\frac{23}{2}[/tex]
1.
James goes to an arcade.
He has one go on the Teddy Grabber.
He has one go on the Penny Drop.
The probability that he wins on the Teddy Grabber is 0.2.
The probability that he wins on the Penny Drop is 0.3.
(a) Complete the tree diagram.
Teddy Grabber
Penny Drop
Win
0.3
Win
0.2
Lose
Win
Lose
Lose
(2)
Answer:
Step-by-step explanation:
1.
James goes to an arcade.
He has one go on the Teddy Grabber.
He has one go on the Penny Drop.
The probability that he wins on the Teddy Grabber is 0.2.
The probability that he wins on the Penny Drop is 0.3.
(a) Complete the tree diagram.
Teddy Grabber
Penny Drop
Win
0.3
Win
0.2
Lose
Win
Lose
Lose
(2)
Look/read the picture
Answer:
6 inches
Step-by-step explanation:
please pa heart and rate po
From 13 friends to 14 friends
Percent increase
ANSWER :
about a 1.076% increase
EXPLANATION :
1. Set up your equation
13/100 = 14/x
2. Cross multiply
13x = 1400
3. Divide by thirteen on both sides
x = 107.692307
4. Transform it into percent [ divide by a hundred ]
1.076
A number is first decreased by 40% and then again decreased by 60%. Find the percentage increase or decrease in the whole sum...please tell quickly
Answer:
It is decreased by 76 percent.
Step-by-step explanation:
The key skills are percentage and multiplication with percentages.
You first have to get a variable. Let's use the letter o as a variable (o For orginial cost). Then we have to find out how much it is when o is decreased by 40 percent. 100% (or the whole) - 40% is 60%. Therefore, with a 40 percent decrease, It would be 60% of o, or 0.6o. Then, if it decreases by 60 percent, the final number would be 100% - 60 % or 40% of 0.6o. This means itbwould be 0.4 × 0.6o which is 0.24o0.24o means that o is 24 percent of its orginial number, which is 100% - 24% or a 76 percent decrease.Hope you understood and have a nice day!
Sushi was thinking of a number. Sushi doubles it,then adds 20 to get an answer of 27.7 what was the original number
Answer:
3.85
Step-by-step explanation
7.7 divided by 2 = 3.85
So if you double 3.85 you get 7.7 and then add 20 to 7.7 then you get 27.7
Let the number they are thinking of be X.
They double x , which would be 2x.
They then add 20, which would be 2x +20
So you have 2x + 20 = 27.7
Now we can solve for x:
Subtract 20 from both sides:
2x = 7.7
Divide both sides by 2:
x = 7.7 / 2
x = 3.85
The original number was 3.85
where x is the value, 4 is the mean,
The formula for a z-score is z =
(x-0)
44
and o is the standard deviation.
A. True
B. False
Answer:
False
[tex]Z = \frac{x-mean}{S.D}[/tex]
Z = x - μ /σ
Step-by-step explanation:
Explanation
The given mean of the Population= μ
Given the standard deviation of the Population(S.D) = σ
Let 'X' be the random variable in a normal distribution
Z-score
[tex]Z = \frac{x-mean}{S.D}[/tex]
Z = x - μ /σ
Answer:
true
Step-by-step explanation:
Solve the expression (-3) (-2)(3)(4)
Answer:
The answer to the question provided is 72.
What is the slope of the equation y = 5x – 7?
A. 32
B. 23
C. 3
D. 2
What’s the answer????
Boba cost $4.00 and left a tip. The total was $4.36. What % did you tip?
4.36 - 4 = 0.36
for finding tip percentage=
0.36/4 x 100
= 9%
Hope this helps and please mark me as brainliest.
Thirty-two of 50 marbles are blue. What percent of the marbles are blue?
Answer:
64%
Step-by-step explanation:
Thirty-two of 50 marbles = 32/50[tex]\frac{32}{50} = \frac{64}{100}[/tex] 64/100 = 64%I hope this helps!
Use Pythagorean Theorem to determine the missing side.
How high is the end of the ladder
against the building?
h ft
13 tt
4 ft
Round to the nearest tenths place.
What rational number in fraction form is equivalent to 0.15 ?
Answer:
0.15 as a fraction is 3/20
Step-by-step explanation:
Melanie wrote an equivalent expression to the one shown. Which expression could Melanie have written?
6a+6(2a−3)+3
A
18a
B
18a + 15
C
3(6a - 5)
D
3(4a - 5)
Answer:
c.
Step-by-step explanation:
3(6a-5)
is the answer of question given above
Answer:
It is C.
Step-by-step explanation:
By using the distributive property and combining like terms, the expression becomes eighteen a minus fifteen. Three can then be factored from both terms to write the expression as three times the quantity six a minus five.
I need help on this question
A recipe for baba ghanoush cause for twice as much olive oil as lemon juice
Which expression represents the amount of olive oil needed for 4 tablespoons of lemon juice choose ALL that apply
A). 4•4
B). 4+2
C). 4•2
D). 4+4
Please Help
Answer:
4•2 and 4+4
Step-by-step explanation:
i need help with this
Answer:
10x + 5
coefficient goes before the x and the constant is a number by itself
Step-by-step explanation:
Dana’s new bike cost $180. Her parents agree to pay 60% of the cost if she will pay the rest. How much money will Dana need to save to help pay for the new bike?
Answer: $72
Explanation:
60%-100%=40%
40%=0.4
0.4x180=72
72=$72