Answer:
Obtuse
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]
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
can u peoples help me
please complete it (picture)
Answer:
1a. 250
1b. 140
2a. 2530
2b. 250
Step-by-step explanation:
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
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.
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.
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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)
Your gas tank can hold no more than 14.5 gallons of gasoline. On a trip to the grocery store, you use 1.5 gallons of gasoline. Write and solve an inequality that represents the amount of gasoline left in your gas tank.
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!
Anna needs to save $85 for a yoga class. She has already saved $42. How much more does Anna need to save?
Answer:
She needs to save $43more dollars for the yoga class.
Step-by-step explanation:
You subtract 42 from 85 to get the difference.
Explain why 20 is not a square number.
A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 20 is about 4.472. Thus, the square root of 20 is not an integer, and therefore 20 is not a square number.
The reason why 20 is not a square number is because it's square root is not an integer.
Why is 20 not a square number?It follows from the task content that we explain why 20 is not a square number.
First, a square number is one whose square root is an integer. Hence, such a number is a perfect square.
On this note, 20 is not a square number because it's square root is not an integer.
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(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!!!
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
4x^4+35x^2-9=0 solve by factoring
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
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)
F(x)=-4x^2+10x-8
What is the value of the discriminating of f
Answer:
f(x)=-4x^2+10x-8
Step-by-step explanation:
well x normally equals 1 so replace all X's with 1 and solve
4*1=4 to the power of 2 is 16
10*1=10 subtract 8 equals 2 so
16-2= 14
F(x) is 14
the Y would be 14
Answer:
Here are Both Anwsers
Step-by-step explanation:
an equation of the line that passes through (0, 5) and (−1.5, 1).
Answer:
The answer is y=8/3x+5
Step-by-step explanation:
m=y²-y¹/x²-x¹
m=1-5/(-1.5)-0
m=-4/-1.5
m=8/3
y-y=m(x-x1)
y-5=8/3(x-0)
y-5=8/3x-0
+5 +5
y=8/3x+5
HELP PLS LOL !!!!!!!!!!!!!!
Answer:
try 137
Step-by-step explanation:
it may be congruent since they're parallel
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
Which of the following shows 7.538 correctly rounded to the ones place?
8.038
8
7
7.5
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
find the intercepts or the line that corresponds to the table of values.
I have a photo to go with it :)
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.
In the figure tw =3x+5 wx =10 and tx =5x-9
Answer:
Value of x = 12 unit
Step-by-step explanation:
Given:
tw = 3x+5
wx = 10
tx = 5x-9
Find:
Value of x
Computation:
tw + wx = tx
3x + 5 + 10 = 5x - 9
3x + 15 = 5x - 9
2x = 24
x = 12
Value of x = 12 unit
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
2. Which of the values of x below will result in lines m and n being parallel?
(1) 41
(3) 20
6x + 14
m
(2) 5
(4) 27
1340
n
REASONING
С.
3
In the diagram shown below, ABC and AABFABCD.
Answer:
x= 16/3 now change in mixed fractions
no 2
For the value of x =20 will result in lines m and n being parallel
What is Straight line?a line is an infinitely long object with no width, depth, or curvature. Thus, lines are one-dimensional objects, though they may exist in two, three, or higher dimension spaces.
In the given figure, we need to find the value of x which makes the lines m and n are parallel.
parallel lines are coplanar straight lines that do not intersect at any point. Parallel planes are planes in the same three-dimensional space that never meet.
In the given figure we have two angles 6x+14 and 134.
We need to equate these to find the value of x.
6x+14=134
Subtract 14 from both sides
6x=134-14
6x=120
Divide both sides by 6
x=20
Hence for the value of x =20 will result in lines m and n being parallel
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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°