The modulus of the functions z₁ and z₂ will be same.
What is Modulus function?
The modulus function is the absolute value of a positive or negative number.
Given that;
The functions are,
⇒ z₁ = 3 + 4i
⇒ z₂ = 4 + 3i
Now,
Since, The functions are,
⇒ z₁ = 3 + 4i
⇒ z₂ = 4 + 3i
Hence, The modulus of the functions are find as;
⇒ | z₁ | = √ 3² + 4²
⇒ | z₁ | = √ 9 + 16
⇒ | z₁ | = √ 25
⇒ | z₁ | = 5
And, | z₂ | = 4 + 3i
⇒ | z₂ | = √ 4² + 3²
⇒ | z₂ | = √ 16 + 9
⇒ | z₂ | = √ 25
⇒ | z₂ | = 5
Thus, The modulus of the functions z₁ and z₂ will be same.
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What is the value of x. What is the measure of angle ABC and what is the value of angle CBD
Answer:
15
Step-by-step explanation:
At the ski shack, customers can rent,skis, snowboards, boots, and poles by the day Mrs.Alvarez is renting skis and poles she has a 18$ coupon off
which expression represents the total cost for Mrs.Alvarez to rent skis for s days and poles for p days
Answer:
48s plus 12p - 18
Step-by-step explanation:
Answer:
Add 48 + 12 and Subtract the sum from 18 (14+12-18)
Step-by-step explanation:
Sorry if I'm confusing you ;(
1)
What number is 4 times as many as 25?
Answer:
100
Step-by-step explanation:
Quinn earned $24.50 dog-sitting and $12.70 for recycling cans. Find thetotal amount he earned.
Answer: $37.20
Step-by-step explanation:
24.50+12.70=37.20
Quinn earned a total amount of $37.20 which is the addition of the earnings from dog-sitting and the recycling cans.
What are Arithmetic operations?Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.
We have been given that Quinn earned $24.50 for dog-sitting and $12.70 for recycling cans.
We have to determine the total amount he earned.
The total amount is the addition of the earnings from dog-sitting and the recycling cans.
The total amount = earnings from dog-sitting + earnings from the recycling cans.
The total amount = $24.50 + $12.70
The total amount = $37.20
Therefore, he earned a total amount of $37.20.
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A 12-foot ladder that is leaning against a wall makes a 75.5 degree angle with the level ground.
Which of the following equations can be used to determine the height y, above the ground, in feet, that the ladder touches the wall
A. Sin 75.5 = 12/y
B. Cos 75.5 = y/12
C. Sin 75.5 = y/12
D. Cos 75.5 = 12/y
Answer:
C. Sin 75,5 = y/12
Step-by-step explanation:
This angle can be calculated using the law of sine:
sin(angle)=opposite cathete/hypothenuse
sin(angle)=wall/ladder
In this exercise we want to calculate the height of the ladder, so the equation is changed afterwards.
sin(angle)=wall/ladder
sin(75,5°)=12ft/y
The height y above the ground in feet is ; (C ) sin 75.5 = y / 12
Determine the equation that can be used to determine y
The ladder, the horizontal ground and the vertical height above the ground form a right angle triangle are ;
The vertical height y = opposite
Length of ladder = hypotenuse
Horizontal ground = adjacent.
According to trigonometry, sine of an angle is opposite/hypotenuse
sin 75.5 = y/12.
In conclusion, the height y above the ground in feet is sin 75.5 = y / 12.
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If f(x) = 5x +3, find f(4)
Professor Burger orders flowers to be delivered to his mother. The flowers cost $59.95, not including tax. A bouquet of flowers is shown. Its price tag reads fifty-nine dollars and ninety-five cents. If there is a 6% sales tax, what is the total cost of the flowers to the nearest cent? Enter the correct answer in the box.
Answer:
$63.55
Step-by-step explanation:
Taxes are charges paid by individuals and enforced by the government in other to fund government spending and various public expenditures.
The flowers cost $59.95 and tax is 6%.
Tax = 6% of flower cost = 0.06 × $59.95 = $3.6
The total cost of the flowers is the sum of tax and the cost of flowers, hence:
Total cost of the flowers = $59.95 + $3.6
Total cost of the flowers = $63.55
What are the two words that allow you to check your division problem backward?
Answer:
inverse operation
Step-by-step explanation:
Inverse means opposite. The opposite of division is multiplication. For example, if you divided 15 by 3, the answer is 5. If you multiply 5 by 3, the answer is 15. You know your answer is correct by checking it with the inverse operation.
Hope this helps!! Have a wonderful day :3
Find the slope of a line that passes through the points (3, -5) and (-7,5)
Answer:
Slope = -1
Step-by-step explanation:
[tex](3, -5 ) = (x_1,y_1) \\ (-7,5)=(x_2,y_2)[/tex]
[tex]Slope = \frac{y_2-y_1}{x_2-x_1} [/tex]
Substitute values into the given equation
[tex]slope \: = \frac{5 - ( - 5)}{ - 7 - 3} \\ \\ slope \: = \frac{5 + 5}{ - 7 - 3} \\ \\ [/tex]
[tex]slope \: = \frac{10}{ - 10} \\ slope \: = - 1[/tex]
What is a integer between saure root of 30 and 4/3
9514 1404 393
Answer:
any of 2, 3, 4, 5
Step-by-step explanation:
√30 ≈ 5.48
4/3 ≈ 1.33
Integers between 1.33 and 5.48 include 2, 3, 4, 5. Any of these is an integer between √30 and 4/3.
16.One night, the temperature decreased at a rate of 0.6 degrees per hour. How many
hours did it take for the temperature to drop 2.7 degrees?
A 4 1/4 hours
B 4 1/2 hours
C 5 1/4 hours
D 4 3/4
Answer:
B.
2.7÷0.6= 4.5/ 4 1/2
mark as brailiest pls
please help meeeee :(
Answer:
b=80
Step-by-step explanation:
Pls, help!
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Due tonight!
7) 2
8) -3
9) -5/11
10) 2/5
11) -0.5
12) -2
find the vertex of f(x)=3/4x-6 if it exists. If it does not explain why.
Answer:
This function does not have a vertex because it is a linear function, meaning it will be a straight line.
Step-by-step explanation:
I suggest graphing this on desmos! That site will be your best friend when it comes to graphing, anyway I hope this helped!
what is
t ÷ -5 = -7 help
Answer:
4 +5 _7
Step-by-step explanation:
there are 18 pencils for $2.36 how much would it be for one
Answer:
13 cents
Step-by-step explanation:
2.36/18= 0.13
Can someone help me know how to do this problem In finding what I can put in for (c) in order to get 2 imaginary solutions
Answer:
To get 2 imaginary solutions, c must be less than -2
Step-by-step explanation:
The general form of the quadratic equation is:
[tex]ax^2+bx+c=0[/tex]
Solve the quadratic equation by using the formula:
[tex]\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
The equation to solve is:
[tex]-2x^2+4x+c=0[/tex]
In our equation: a=-2, b=4, c=unknown
For the roots to be imaginary, the argument of the square root must be negative, that is:
[tex]b^2-4ac<0[/tex]
Substituting the known values:
[tex]4^2-4(-2)c<0[/tex]
[tex]16+8c<0[/tex]
Subtracting 16:
[tex]8c<-16[/tex]
Solving:
[tex]c<-2[/tex]
Thus, to get 2 imaginary solutions, c must be less than -2
Point Q' is the image of Q(-7.2) under a translation by 8 units to the right and 2 units up
Answer:
what is the question??
Step-by-step explanation:
In a survey of 1,300 people who owned a certain type of car, 650 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car? 416416% of the people surveyed were satisfied with the car.
Answer:
50%
Step-by-step explanation:
650 is one half of the 1,300
That means that 650 is 50% of people who were satiufired out of 1,300
LITERAL EQUATIONS: A literal equation is one consisting of all letters (or at least mostly letters). The Latin word literalis means "of or belonging to letters or writing," giving the term literal equations its meaning. We can solve literal equations the same way we solve any other equation. We just need to be told which variable (letter) we are solving for. To solve a - 2 = 5 for a, we would add two to each side of the equation. To solve b - r = z for b, we would add r to each side of the equation. What would the resulting solution be ? b = z - r z = b - r r = b - z b = r + z
Answer:
D. b = r+z
Step-by-step explanation:
Given the expression b-r = z, we are to solve for b. To do this, we will add 'r' to both sides of the equation as shown;
b-r+r = z+r
Since -r+r = 0, substitute:
b+0 = z+r
b = z+r
Hence the resulting equation when r is added to both sides of the equation is b = z+r
Hence option D is correct
For each value of u, determine whether it is a solution to -40 = 8(u-4).
8(u-4)=-40
8u-32= -40
8u= -40 + 32
8u= -8
u= -8/8
u= -1
Let's check
8(-1 -4)
-8-32
=-40
So yes u is -1
Please help me to solve this!
Answer:
6
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
Since there are two white bars (which equals 4 each) it equals 8.
There are 2 shaded blocks (which equals -2 each) and that amounts to -2.
8 - 2 = 6
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B: 5 v
B: 0.5 v
A: 100 v
A: 10 v
B: 50 v
A: 1 v
Answer:
A: 10v
B: 5v
Step-by-step explanation:
A: Smallest increment can be found by doing 100/ number of tick marks to 100/ (so 100/10)
B: Uncertainty is smallest increment /2 or 10/2
Answer:
A: 10v
B: 5v
Step-by-step explanation: Hoped this helped :3
A builder bought 47 1/2 acres of land and divided it into lots of 2 1/2 acres each. How many lots were
there?
Answer:
19 lots
Step-by-step explanation:
i took my exam and it was right
Maggie has been exercising by climbing steps. Her climbing rate at the end of week 1 was 25 steps per minute. At the end of week 4, Maggie's rate was 60 steps per minute. What is the percent increase in Maggie's rate of climbing steps from the end of week 1 to the end of week 4?
Answer: 60%
Step-by-step explanation:
Given: Climbing rate at the end of week 1 = 25 steps per minute.
Climbing rate at the end of week 4 = 60 steps per minute
The percent increase in Maggie's rate of climbing steps from the end of week 1 to the end of week 4 will be :
[tex]\dfrac{\text{Climbing rate after week 4 - Climbing rate after of week 1}}{\text{Climbing rate after week 1}}\times100[/tex]
[tex]=\dfrac{40-25}{25}\times100\\\\=\dfrac{15}{25}\times100=15\times4=60\%[/tex]
Hence, the percent increase in Maggie's rate of climbing steps from the end of week 1 to the end of week 4 = 60%
Woke out the following giving your answers in their simplest form 3/11÷3/11
Answer:
mr
Step-by-step explanation:
rm x 3/11 ÷ 3/11
Can someone help me? Please Thank you.
Answer:
He can fit 2 more DVD's on the shelf.
And he'll have about 12 mm of extra space left.
Step-by-step explanation:
40×1.4 = 56cm This is the length of space the 40 DVD's will take up.
60-56 = 4cm This is the amount of space left.
4/1.4 = 2.857 the number of DVD's that will fit.
Of course, the decimal represents a partial DVD which is worthless.
Just to be sure, 2×1.4 = 2.8cm OK. But 3×1.4= 4.2cm which is 2mm too much
The lines below are perpendicular . If the slope of the green line is 3/2 , what is the slope of the red line?
Answer:
If i recall right when two slopes are perpendicular one slope is supposed to be the negative reciprical of the other slope, because of this I think your answer should be B.
Hope this helps!
how do I solve 2c-5=c+4 I don't get these kind of questions.
Answer:
c = 9
Step-by-step explanation:
2c - 5 = c + 4
Subtract c from both sides
c - 5 = 4
add 5 to both sides
c = 9
Hope this helps:)
Between which two whole number square root 44 must show work
Answer: 6 and 7
Step-by-step explanation:Consider square numbers either side of 44, that is
36 < 44 < 49, then
< < , that is
6 < < 7