Answer:
28
Step-by-step explanation:
Find the modulus of the complex number 6-2i
Answer:
The modulus of the complex number 6-2i is:
[tex]|z|\:=2\sqrt{10}[/tex]
Step-by-step explanation:
Given the number
[tex]6-2i[/tex]
We know that
[tex]z = x + iy[/tex]
where x and y are real and [tex]\sqrt{-1}=i[/tex]
The modulus or absolute value of z is:
[tex]|z|\:=\sqrt{x^2+y^2}[/tex]
Therefore, the modulus of [tex]6-2i[/tex] will be:
[tex]z=6-2i[/tex]
[tex]z=6+(-2)i[/tex]
[tex]|z|\:=\sqrt{x^2+y^2}[/tex]
[tex]|z|\:=\sqrt{6^2+\left(-2\right)^2}[/tex]
[tex]=\sqrt{6^2+2^2}[/tex]
[tex]=\sqrt{36+4}[/tex]
[tex]=\sqrt{40}[/tex]
[tex]=\sqrt{2^2}\sqrt{2\cdot \:5}[/tex]
[tex]=2\sqrt{2\cdot \:5}[/tex]
[tex]=2\sqrt{10}[/tex]
Therefore, the modulus of the complex number 6-2i is:
[tex]|z|\:=2\sqrt{10}[/tex]
(50 points) Use the spinner below. Show your work, making sure to simplify your answers. (Note: The smallest section of the circle is 1/16 of the circle.)
16. What is P(red, yellow, blue)?
17. What is P(orange, yellow)?
18. P(green, blue, purple)?
19. P(pink)?
20. P(red, orange, yellow, green, blue, purple)?
Thank you!!
Answer:
I have the same questions and I got them right
Step-by-step explanation:
16. What is P(red, yellow, blue)?
P(red, yellow, blue)= 6/16= 3/8.
4/16+ 1/16+ 1/16= 6/16= 3/8
17. What is P(orange, yellow)?
P(orange, yellow)= 1/8
1/16+1/16= 2/16= 1/8
18. P(green, blue, purple)?
P(green, blue, purple)= 5/8
7/16+1/16+2/16= 10/16= 5/8.
19. P(pink)?
P(pink)=0
There is no pink color.
20. P(red, orange, yellow, green, blue, purple)?
P(red, orange, yellow, green, blue, purple)= 16/16= 1.
4/16+ 1/16+ 1/16+ 7/16+1/16+2/16 =16/16= 1.
Hope it helps!!!
How many solutions does the nonlinear system of equations graphed below
have?
5 more than twice a number n
Answer:
2n + 5
Step-by-step explanation:
Twice a number (n): 2nFive more than twice a number: 2n + 5I hope this helps!
HEEEEEELP MEEEEEEEEEE PLZZZZZZZZZZZZZZZ WITH NUMBER 4
Answer:
4 2/3 cups of water
Step-by-step explanation:
The original recipe has 3 1/2 cups of potatoes and 3 1/4 cups of water.
4.
If you put 5 cups of potatoes, you can find the amount of water you need using a proportion.
3 1/2 cups of potatoes is to 3 1/4 cups of water as 5 cups of of potatoes is to x cups of water.
(3 1/2) / (3 1/4) = 5/x
(7/2) / (13/4) = 5/x
7/2 * x = 13/4 * 5
2/7 * 7/2 * x = 2/7 * 13/4 * 5
x = 130/28
x = 65/14
x = 4 9/14
4 9/14 as a decimal is 4.64 which is close to 4.6666...
Answer: 4 2/3 cups of water
Mr. Moretti is making welcome bags to give to the 18 students in his homeroom on the first day of school he puts m mechanical pencils in each bag he puts twice as many regular pencils in each bag
Answer:
The total number of pencils is 6
Step-by-step explanation:
According to the given scenario, the computation of the total number of pencils is as follows:
There are 18 students
And let us assume there is m mechanical pencils that put in each bag
also he put twice of the regular pencil
So if he put the 3 mechanical pencil
So, the total number of pencils is
= 3 × 2
= 6
As it twice of the regular pencil
hence, the total number of pencils is 6
Solve for C p=b+c/5 I need help
Answer:
Step-by-step explanation:
p = b + c/5 Subtract b from both sides
p - b = c/5 Put brackets around the left side
(p - b) = c/5 Multiply by 5
5(p - b) = c
help me please 20 points
Answer:
- 8n + 9
Step-by-step explanation:
A - B
= - 3n + 2 - (5n - 7) ← distribute by - 1
= - 3n + 2 - 5n + 7 ← collect like terms
= - 8n + 9 → or 9 - 8n
The principal of a large high school wants to learn about student opinion regarding remote learning versus in person learning. Each of the following methods introduces a possible source of bias. Name the type of bias . a. The principle selects a random sample of students from those who signed up for remote learning. b. The student emails a random sample of 100 students, but only 28 students respond . c. The principal surveys the first 50 students that submit their learning preference for the upcoming school year.
Answer:
Step-by-step explanation:
the students that are in the survey are in it because they like the subject, rather than picking students from both types of groups, the ones that aren't doing remote learning and the ones that are doing remote learning.
Bias occurs when a particular portion of the population is given more weight or have a higher priority during sample selection which in turn affects the outcome and result of our result as it won't be representative of the population. The type of bias introduced in the scenarios above are :
Selection bias Non - response bias Undercoverage biasSelection bias occurs when only a particular faction of the population is used rather than the entire population during sample selection. Rather than making selection from the entire students, only those who signed for remote learning were sampled.
Non - response bias occurs when a large portion of the selected sample fail to participate in a survey. With only 28% response and 72% non - responsive. Non - response bias has creeped in.
Undercoverage bias is usually associated with convenience sampling as the selection made might fail to randomly cover the entire population.
Hence, selection, non - response and Undercoverage bias are present in the selection made by the principal.
Learn more :https://brainly.com/question/18405415
Sally was walking to Ocean Front Housing Complex, In miles, how far is her distance?
mi,
Sally plans to stop half way and pick up something to eat at the deli. What coordinate is the deli?
Answer:
Sally is 10 miles
The coordinate ofthe deli is (1, -1)
Step-by-step explanation:
✍️Coordinate of Sally = (-3, 2)
Coordinate of Ocean Front = (5, -4)
The distance of Sally to Ocean Front Housing Complex = the distance between point (-3, 2) and (5, -4).
Use the distance formula, [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex], to calculate the distance between (-3, 2) and (5, -4):
[tex] d = \sqrt{(5 -(-3))^2 + (-4 - 2)^2} [/tex]
[tex] d = \sqrt{(8)^2 + (-6)^2} [/tex]
[tex] d = \sqrt{64 + 36} [/tex]
[tex] d = \sqrt{100} = 10 [/tex]
✅The distance of Sally is 10 miles
✍️the coordinate of Deli would be half the distance between Sally and Ocean Front.
Therefore, use the midpoint formula to calculate the coordinate of the midpoint between Sally (-3, 2) and Ocean Front (5, -4).
Midpoint of (-3, 2) and (5, -4).
[tex] M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}) [/tex]
Plug in the values
[tex] M(\frac{-3 + 5}{2}, \frac{2 +(-4)}{2}) [/tex]
[tex] M(\frac{2}{2}, \frac{-2}{2}) [/tex]
[tex] M(1, -1) [/tex]
✅The coordinate ofthe deli is (1, -1)
can a system of linear equation have exactly 2 solutions ? why or why not?
Answer:
Under normal circumstances a system of two linear equations can have 0, 1 or infinitely many solutions.
Step-by-step explanation:
five less than three times a number is 1. What is the number?
Answer: 3 times a number can be written as 3x.
Five less than 3x means you must subtract 5 from 3x.
the word "is" means equals,
so 3x-5=10
Step-by-step explanation:
since it is given that 3 times a number less than five is 1
since it is given that 3 times a number less than five is 1 getting equation:- 3x-5=1
since it is given that 3 times a number less than five is 1 getting equation:- 3x-5=1 x=6/3
since it is given that 3 times a number less than five is 1 getting equation:- 3x-5=1 x=6/3 x=2
A bag contains 6 red apples and 6 yellow apples. A sample of 3 apples is drawn. Find the probability that the sample contains more red than yellow apples
Answer: 21/44
Step-by-step explanation:
Given that:
Bag contains :
6 red apples
6 yellow apples
Number of samples drawn = 3
Probability that sample contains more red than yellow :
Then from the three samples, red = 2 and yellow = 1 or red for all 3
Prob of RRR = (6/12)(5/11)(4/10)= 120 / 1320
Prob RRY = (6/12)(5/11)(6/10)= 150/1320
Prob RYR is (6/12)(6/11)(5/10)= 180/1320
Prob YRR is (6/12)(6/11)(5/10)=180/1320
120/1320 + 150/1320 + 180/1320 +. 180/1320 = 630/1320 =126/264 = 42/88 = 21/44
Marcus buys a pair that cost $35.99 plus 5.5% tax. Tai buys a pair of shoes that cost $ 39.99 plus 9% tax. Tai uses a coupon off her purchase. What is the difference in the total cost to the nearest cent that Marcus and Tai pay for their shoes?
Answer:
The difference is $5.62
Step-by-step explanation:
The total cost Marcus will pay is
35.99 + 5.5% of 35.99
= 35.99 + 0.055(35.99) = 35.99 + 1.97945 = 37.96945
The total cost Tai will pay is;
39.99 + 9% of 39.99
= 39.99 + 0.09(39.99) = 43.5891
The difference between the total costs will be;
43.5891 - 37.96945 = 5.61965
To the nearest cent, this is 5.62
number 9?? please help.
Answer:
x= 3
Step-by-step explanation:
∠RTS +∠RST= ∠QRT (ext. ∠ of △RST)
(25x)° +(57 +x)°= (45x)°
25x° +x° +57°= 45x°
26x° +57°= 45x°
45x° -26x°= 57°
19x°= 57°
x°= 57° ÷19
x°= 3°
∴ x= 3
Alternatively, find the measure of the angle RST using ∠ sum of triangle then find ∠QRT using adjacent angles on a straight line. Equate this value to 45x and solve for x.
Terrence took a total of 16 pages of notes during 8 hours of class. In all, how many hours will
Terrence have to spend in class before he will have a total of 18 pages of notes in his
notebook? Assume the relationship is directly proportional.
A line passes through the points (P, a) and (P, –a) where P and A are real numbers and P does not equal 0. Describe each of the following. Explain your reasoning.
1. slope of the line
2. equation of the line
3. y-intercept
4. slope of a line perpendicular to the given line
9514 1404 393
Answer:
undefinedx = Pdoes not exist0Step-by-step explanation:
2. The x-value of the given points is the same, so the points both lie on the vertical line ...
x = P
__
1. The slope of a vertical line is "undefined".
__
3. Given that P ≠ 0, the vertical line is parallel to the y-axis, so there is no y-intercept.
__
4. A line perpendicular to a vertical line will be horizontal. A horizontal line has a slope equal to zero.
Henry took a total of 9 quizzes over the course of 3 weeks. How many weeks of school will Henry have to attend this quarter before he will have taken a total of 15 quizzes? Assume the
relationship is directly proportional
Answer:
5 weeks if it stays the rate of 3 quizzes a week
brainliest if correct please
Step-by-step explanation:
Solve the system by elimination
Answer:
x= -2 y= -5
Step-by-step explanation:
Eliminate y by subtract = 3x-6x-2y+2y=6 ; x=-2
plug-in x = -2
-6-2y = 4 y = -5
Answer:
(- 2, - 5)
Step-by-step explanation:
[tex]\left \{ {{3x-2y=4} \atop {6x-2y=-2}} \right.[/tex]
(2) - (1)
(6x - 3x) + [- 2y - (- 2y)]= - 2 - 4
3x = - 6 ⇒ x = - 2
3( - 2) - 2y = 4 ⇔ - 6 - 2y = 4 ⇒ y = - 5
(- 2, - 5)
Mary is writing invitations for her birthday party. She plans to invite 16 friends. So far, Mary has written 12 invitations. Which of the following show the amount of invitations Mary has written? Select two that apply.
25/100
25%
75/100
75%
WILL RECIEVE A LOT IF YOU HELP ME
Answer:
The answer is 75% and 75/100
True or false: a translation produces congruent figures?
A.) true
B.) false
Answer to this? Only comment if you know!! Thank you :D
Answer:
a = 35°
Step-by-step explanation:
The angles in a triangle always add up to 180°
∴ 33 + 112 + a = 180
∴a=35°
find the intercepts or the line that corresponds to the table of values.
I have a photo to go with it :)
can u peoples help me
PLEASE HELP WITH ALEGBRA I WILL GIVE BRAINLIEST
use distributive property to factor the expression
how do i do this if the first is -4 and the second is 4?
−4m − 4y
Answer:
4(-m - y)
Explanation:
Variables can be negative.
Calculate the quotient
2/5 divided by 3 4/7
Pls help lol this is due tomorrow
Answer:
8/105
Step-by-step explanation:
Answer:
the answer is 14/125
Step-by-step explanation: do keep flip switch
2/5 stays the same change the mixed number into a fraction so the new fraction is 25/7 then flip 25/7 to 7/25 then multiply 2/5 by 7/25 and that give s u 14/125
hopefully this helps out
4x^4+35x^2-9=0 solve by factoring
Help ASAP plz
Jacob bought 5 boxes of pencils for his drawing class. Each box contains 12 pencils. Which point on the graph shows the number of pencils he bought?
Answer:
it would be (5,60)
Step-by-step explanation:
he bought 5 boxes
each box has 12 pencils
5*12=60
James bill at a restaurant
is $39.50. If he wants to
tip his server 18% how
much money should he
leave?
Answer:
46.61
Step-by-step explanation:
18% of 39.50 = 7.11
39.50 + 7.11 = 46.61
Approximately how much principal would need to be placed into an account earning 1.58% interest compounded monthly so that it has an accumulated value of $90,597 at the end of 25 years?
Answer:
The initial investment is $821.58
Step-by-step explanation:
Giving the following information:
Future Value (FV)= $90,597
Number of periods (n)= 25*12= 300
Interest rate (i)= 1.58% = 0.0158
To calculate the initial investment, we need to use the following present value (PV) formula:
PV= FV/(1+i)^n
PV= 90,597 / (1.0158^300)
PV= $821.58
The initial investment is $821.58