Answer:a
Step-by-step explanation:
Given Z1 and Z2, find the
distance between them.
Z1 = 2 – 3i and Z2 = 4 + i
Answer:
The distance between given points is: √20
Step-by-step explanation:
The given numbers are complex numbers. In order to find the distance between two numbers in complex plain, their difference is taken and then modulus is applied.
Given numbers are:
[tex]z_1 = 2-3i\\z_2 =4+i[/tex]
The difference will be calculated as:
[tex]z_2-z_1 = (4+i)-(2-3i)\\= 4+i-2+3i\\=2+4i[/tex]
The distance will be:
[tex]d = \sqrt{(2)^2+(4)^2}\\= \sqrt{4+16}\\=\sqrt{20}[/tex]
Hence,
The distance between given points is: √20
Question 6
5 pts
Maria and Sarah were in charge of selling tickets to the class play. Maria sold 91
tickets and Sarah sold 70 tickets. What is the ratio of the number of tickets Maria sold
to the total number of tickets sold?
Answer:
Maria sold 56.5% of the total quantity of tickets sold.
Step-by-step explanation:
Given that between Maria and Sarah they both sold 161 tickets (91 + 70), and that of those 161 Maria sold 91 while Sarah sold 70, to determine the percentage of tickets that Maria sold over the total amount, the following crossed multiplication must be performed:
161 = 100
91 = X
((91 x 100) / 161) = X
9,100 / 161 = X
56.5 = X
Therefore, Maria sold 56.5% of the tickets sold.
see image help me as fast as possible, please
5.82-1.76 rounded to the nearest whole number
Answer:
4.06 = 4
Step-by-step explanation:
A 2.5-meter piece of framing lumber has been used to cut a piece 1.65 meters long. How much of the original piece of lumber remains, in meters?
Answer:
0.85 of the original piece of lumber remains.
Step-by-step explanation:
Well, this lumber piece of lumber started as 2.5 meters long. Then, a 1.65 meter piece was cut off of it. All we need to do is subtract.
2.5 - 1.65 =
2.50 - 1.65 = 0.85.
Therefore, 0.85 of the original piece of lumber remains.
Hope this helps! :)
6-6x = 5x-9x + 15
The value of x is
Answer:
[tex]Exact Form\\x= -\frac{9}{2} \\\\Decimal form:\\x= -4.5\\\\Mixed number form:\\x=-4\frac{1}{2}[/tex]
Hope this helps :)Choose the slope-intercept equation of the line that passes through the point shown and is perpendicular to the line shown.
a) y = x + 1
b) y = - x -
c) y = - x - 3
d) y = x +
Answer:
c
Step-by-step explanation:
Just trust me ive had ths question before
What is the answer, view the picture above
Can someone help I numbered them poorly also there will be some left over numbers that weren’t used, I’ll mark brainliest if u give a small explanation
Answer:
Step-by-step explanation:
Slope m = rise / run = ([tex]y_{2}[/tex] - [tex]y_{1}[/tex]) / ([tex]x_{2}[/tex] - [tex]x_{1}[/tex])
1). (-4,3)
(4, - 1)
m = (-1 - 3) / (4 + 4) = - 1/2
2). (-1, 1)
(2, - 5)
m = (- 5 - 1) / (2 + 1) = - 2
3). (6, 4)
(5, 4)
m = (4 - 4) / (5 - 6) = 0 (graph is horizontal line)
4). (1, 4)
(4, 1)
m = (1 - 4) / (4 - 1) = - 1
5). - 3/4
6). 4/3
Now is your turn. You can do it!!!
7). (1, 1)
(2, 2)
m = ____
8). ( __ , __ )
( __ , __ )
m = _____
9). (0, 2)
(0, 4)
m = (4 - 2) / (0 - 0) = undefine slope or no slope (graph is vertical line)
10).
5 divided by 1/10 is what?
Help?? What decimal place value is .7 in
Answer:
tenth
Step-by-step explanation:
it just is
4.(03.06) Choose the point-slope form of the equation below that represents the line that passes through the points (-3, 2) and (2, 1). O y + 3 = -5(x - 2) Oy - 2 = -5(x + 3) Oy+3 = - ] (x - 2) Oy-2=-****
Answer:the answer is D y-2= 1/5(x+3)
Step-by-step explanation:I took the test
y-2=-1/5(x+3) is the point-slope form of the equation below that represents the line that passes through the points (-3, 2) and (2, 1).
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
The given two points are (-3, 2) and (2, 1)
m=1-2/2+3
=-1/5
So slope is -1/5.
Now let us find the point slope form
y-y₁=m(x-x₁)
y-2=-1/5(x+3)
Hence, y-2=-1/5(x+3) is the point-slope form of the equation below that represents the line that passes through the points (-3, 2) and (2, 1).
To learn more on slope of line click:
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Linear, exponential, or neither?
y = 4(1+.04)*
A pair of shoes is currently priced at $55.00. If the store manager marks it down to $22.00, by what percent did he mark down the shoes?
Answer:
60%
Step-by-step explanation:
55 - 22 = 33
33/55 = 0.6
0.6*100 = 60%
Select an expression that is equivalent to 3(m - 5) + 1.
а
3m - 14
Ob
3m-4
3m + 16
Od
3m + 3
Answer:
а . 3m - 14Step-by-step explanation:
3(m - 5) + 1 =3m - 15 + 1 =3m - 14This is same as option a.
Answer:
A - 3m-14 is the answer(:
A submarine descends into the ocean at a
constant rate of 120 feet per minute. Which
equation best describes the depth of the
submarine, y, after x minutes?
A random sample of 300 circuits generated 13 defectives. Use the data to test the hypothesis Upper H Subscript 0 Baseline colon p equals 0.05 against Use . Find the P-value for the test.
Complete Question
A random sample of 300 circuits generated 13 defectives. a. Use the data to test
[tex]H_o : p = 0.05[/tex]
Versus
[tex]H_1 : p \ne 0.05[/tex]
Use α = 0.05. Find the P-value for the test
Answer:
The p-value is [tex]p-value = 0.5949[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 300
The number of defective circuits is k = 13
Generally the sample proportion of defective circuits is mathematically represented as
[tex]\^ p = \frac{k}{n}[/tex]
=> [tex]\^ p = \frac{13}{300}[/tex]
=> [tex]\^ p = 0.0433[/tex]
Generally the standard Error is mathematically represented as
[tex]SE = \sqrt{\frac{p(1- p)}{n} }[/tex]
=> [tex]SE = \sqrt{\frac{0.05(1- 0.05)}{300} }[/tex]
=> [tex]SE = 0.0126[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{\^ p - p }{SE}[/tex]
=> [tex]z = \frac{0.0433 - 0.05 }{0.0126}[/tex]
=> [tex]z = -0.5317[/tex]
From the z table the area under the normal curve to the left corresponding to -0.5317 is
[tex](P < -0.5317 ) = 0.29747[/tex]
Generally the p-value is mathematically represented as
[tex]p-value = 2 * P(Z < -0.5317 )[/tex]
=> [tex]p-value = 2 * 0.29747[/tex]
=> [tex]p-value = 0.5949[/tex]
Andre has a summer job selling magazine subscriptions. He earns $25 per week plus $3 for every subscription he sells. Andre hopes to make at least enough money this week to buy a new pair of soccer cleats. The least expensive pair of cleats Andre wants costs $68.
a.) Write an inequality to find the number of subscriptions he needs to sell so that he can buy a pair of cleats.
b.) Solve the inequality from part (a).
c.) Interpret (what does it mean) and graph the solution.
Answer:
68≥25+3x
x≥15
Step-by-step explanation:
the overall goal is to have $68, so the goal needs to be less then or equal to the weekly $25 plus each additional subscription at $3 (x represents the needed amount of subscriptions he sells) the inequality would look something like 68≥25+3x because he wants the money this week.
to solve the inequality you would subtract the 25 from the 68, leaving you with 43≥3x as the new inequality, now you need to divide both sides by 3. Which comes out to 14.33333..... since we cant sell a fraction of a subscription you must round up giving you the new inequality of x≥15
this means that in order for Andre to get the cleats this week, he must sell at least 15 subscriptions
hope this helped
a.) 25x + 3y ≥ 68
b.) x = 1, y = 43
c.) As x increases, y decreases
What is a linear inequality?A linear inequality is a mathematical relation which gives the range of values a variable or a function can take.
Given,
Wage per week= $25
Subscription earning = $3
Let x and y be the number of weeks and number of subscriptions.
Therefore, 25x + 3y ≥ 68
Hence, 25x + 3y ≥ 68 is the required inequality.
Let x = 1
Therefore minimum value of y = 43.
To learn more about inequalities visit:
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Help Please ( and leave on how you solved it ) ":(
view pic below
Answer:
The value of x = 10.
Step-by-step explanation:
From the given triangle,
The value of angle M = (3x + 28)°The value of angle K = (5x - 18)°The value of angle L = 90°We know that the sum of a triangle is 180°.
i.e.
K + L + M = 180°
(5x - 18)° + 90° + (3x + 28)° = 180°
[tex]5x-18+90+3x+28=180[/tex]
[tex]5x+3x-18+90+28=180[/tex]
[tex]8x-18+90+28=180[/tex]
[tex]8x+100=180[/tex]
[tex]8x=80[/tex]
[tex]\frac{8x}{8}=\frac{80}{8}[/tex]
[tex]x=10[/tex]
Therefore, the value of x = 10
5x+2y=16 in function form
Answer:
y=-2.5x+8
Step-by-step explanation:
Subtract 5x from both sides
2y=-5x+16
divide both sides by two
y=-2.5x+8
819 ÷ ________ = 8.19 (3 points)
a
101
b
102
c
103
d
104
Are those the only options because 819 divided by 100 is 8.19
Help me please!! I forgot how to do it!
Answer:
i think the answer is 79
Step-by-step explanation:
im not really sure,
How many cups of whole wheat flour are required to make 35 biscuits?
Answer:
8 baby
Step-by-step explanation:
What is the greatest common factor of 72 and 90?
6
9
18
36
Answer:
It is 18.............
Answer:
______18________
Step-by-step explanation:
Find GCF.
Brainliest Plz
8/9 divided by 4
Need help will give brainlest
Answer: 8/36
Step-by-step explanation:
Which expression has a product of 32.76 and why?
Answer:
20.00+12.76 would give you that sum
Step-by-step explanation:
A group of friends were working on a student film. They spent $570 on equipment,
which was 57% of their total budget. What was the total budget for their student film?
Answer:
1000
Step-by-step explanation:570 is 57 percent of one thousand because since 570 is 57 to the second power and 1000 is 100 to the second power
Answer:
1
Step-by-step explanation:
1
£810 is divided between Paul, Brian & Colin so that Paul gets twice as much as Brian, and Brian gets three times as much as Colin. How much does Brian get?
Answer:
Step-by-step explanation:
Step by step
There are 18 green, 11 white, 15 purple, and 7 blue gum balls in a gum ball machine.
What is the probability that you will get a purple OR a blue gum ball if one is selected at random?
P(Purple OR Blue Gum ball) = ?
Make sure your answer is a SIMPLIFIED FRACTION if possible.
I WILLLLL GIVE THE FIRST 3 PPL THAT ANSWER A BRAINLIEST!!!!!!!!!
Answer:
%43
Step-by-step explanation:
I'm pretty sure? Its just what I think
The number of bacteria present in a culture was 1,000. Each hour , the number of bacteria in the culture was eight times the number that was present at the start of the preceding hour, as shown in the table
Answer:
the answer is d
Step-by-step explanation:
if you go threw your toutorial you will see that