Factor over the complex numbers, if possible: x² + 2xyi - y2
What is the answer?
9514 1404 393
Answer:
(x +yi)²
Step-by-step explanation:
Comparing the given expression to the square of a binomial, we can determine the given expression to be a square.
(a +b)² = a² +2ab +b²
Here, we have a=x and b=yi. Then the factorization is ...
x² +2xyi +(yi)² = (x +yi)²
MA + q ² A =g
Someone help me to do this Aquarian
Answer:
a=g/q2+m
Step-by-step explanation:Let's solve for a.
ma+q2a=g
Step 1: Factor out variable a.
a(q2+m)=g
Step 2: Divide both sides by q^2+m.
a(q2+m)
q2+m
=
g
q2+m
a=
g
q2+m
Choose the equation for the line that passes through (6, 5) and is parallel to the line x + 3y = 9.
Answer:
y = -1/3x + 7
Step-by-step explanation:
x + 3y = 9 ⇒ y = -1/3x + 3
Use point-slope form and substitute the values:
[tex]y-y_1=m(x-x_1)\\y-5=-\frac{1}{3}(x-6)\\y-5=-\frac{1}{3}x+2\\y=-\frac{1}{3}x+7[/tex]
The height of a cylinder is 10 yards. The volume of the cylinder is 1,540 cubic yards. What is the radius of the cylinder? Use 22/7 or 3.14 for pie
Answer:
Radius ≈ 7 yd
Step-by-step explanation:
Height = 10
Volume = 1540
Missing radius
Use the formula and work backwards
Formula : πr²h
Plug in the given info:
1540 = 3.14 * r² * 10
Work backwards:
1540/10 = 3.14 * r²
154 = 3.14 * r²
154/3.14 = r²
49.044 = r²
√49.044 ≈ 7
Radius = 7
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
You can copy the data into Excel by highlighting the data, right-clicking and selecting Copy, then opening Excel, clicking on a blank cell, and selecting Paste from the Edit menu. Give your answers to at least 3 decimal places accuracy. Keep the data in Excel and keep the answers below handy, as you will need this information again in later questions. 2. Compute the following summary statistics a) The mean for the low income group is: b) The median for the low income group is: c) The standard deviation for the low income group is: d) The mean for the high income group is: e) The median for the high income group is: f) The standard deviation for the high income group is:
Answer:
Low income group :
Mean = 22.100
Median = 22.000
Standard deviation = 4.717
High Income group :
Mean = 19.771
Median = 20.000
Standard deviation = 3.255
Step-by-step explanation:
Low income : 19,20,13,28,21,27,16,21,19, 19,34,24, 24,14,24,25,23,22,20,21,14,23,17,26,24,24,20,24,27,16,22,17,29,20,25,22,20,34,24,22
High Income : 23 19 19 18 20 18 17 25 13 24 25 17 21 19 17 22 22 15 19 23 19 23 22 20 20 20 13 21 16 13 21 24 23 21 20
Using Excel :
Mean of low income, Σx / n = 884/40 = 22.100
Median of low income group : 1/2(n+1)th term = Median of low income = 22.000
Standard deviation of low income group :
√(Σ(x - mean)²/n) = 4.717
High Income group :
Mean of high income, Σx / n = 692/35 = 19.771
Median of high income group : 1/2(n+1)th term = Median of high income = 20.000
Standard deviation of low income group :
√(Σ(x - mean)²/n) = 3.255
Given that ZABC = ZDBE, which statement must be
true?
ZABC - ZABD
ZABD Z CBE
Z CBD , ZDBE
Z CBD - ZABC
Answer:
B abd = cbe
Step-by-step explanation:
ABC = DBE
so
ABC + CBD = DBE + CBD
The statement which is true is ZABC - ZABD, the correct option is A.
What is a solution to a system of equations? (SOLUTION GRAPHICALLY)
For a solution to be solution to a system, it must satisfy all the equations of that system, and as all points satisfying an equation are in their graphs, so solution to a system is the intersection of all its equation at single point(as we need common point, which is going to be intersection of course)(this can be one or many, or sometimes none)
We are given that;
Angle ABC = Angle DBE
Now,
A flowchart proof is a formal proof that is set up with boxes that flow from one to the next with arrows1. The statements, which are true facts that we know, are placed in the boxes, with the reason we know them on a line underneath2. We can prove theorems are true using flowchart proofs.
To justify each step in the flowchart proof, we have to provide a reason for each statement based on definitions, postulates, properties or previously proven theorems. Here is how we can fill in the blanks:
A: Given B: Definition of angle bisector C: Definition of congruent angles
Therefore, graphically the answer will be ZABC - ZABD.
Learn more about finding the solution graphically here:
https://brainly.com/question/26254258
#SPJ7
Create a data set such that the median is 19 the mode is 24 the mean is 25
Answer:
-80, 4, 5, 6, 19, 24, 24, 24, 24
Given f(x)= 17- x2, what is the average rate of change in f(x) over the interval [1, 5)?
O -6
O -1/2
O 1/4
O 1
Identifying a Proportional Relationship in a Table
Which takle represents a proportional relationship?
x
y
4
*
.
09
y
8
5
2
12
7
18
20
26
12
28
60
84
18
20
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Answer:
see below
Step-by-step explanation:
A proportional relationship is one in which the ratio of y to x is a constant for all non-zero values of x and y.
Of the tables shown here, this is the case only for the one shown below. It has ...
y = 1.4x
Answer:
The middle one
Step-by-step explanation:
The middle one
y = (7/5)x
x y
5 7
20 28
60 84
Which statement about y= x2 – 3x – 40 is true? O A. The zeros are 5 and -8, because y = (x - 5)(x+ 8). B. The zeros are 5 and -8, because y= (x + 5)(x-8). C. The zeros are -5 and 8, because y = (x - 5)(x+ 8). O D. The zeros are - 5 and 8, because y = (x + 5)(x-8).
Answer:
C
Step-by-step explanation:
A p e x
Answer:
the answer is " The Zeros are -5 and 8, becouse y=(x+5)(x-8)
Step-by-step explanation:
i just took the test
Express it in slop-intercept form
Answer:
y = ½x -3
Step-by-step explanation:
_____________________
What is the quotient when (-12x9 + 3x7 + 24x6) is divided by 6x?
Pleaseee helpppp!!! 20 points
Answer:
The correct option is (A).
Step-by-step explanation:
The given expression is :
[tex]\dfrac{14x^4y^6}{7x^8y^2}[/tex]
The numerator contains 14x⁴y⁶ and the denominator is 7x⁸y².
We can write it as :
[tex]\dfrac{14x^4y^6}{7x^8y^2}=\dfrac{7\times 2\times x^4\times y^2\times y^4}{7x^4\times x^4\times y^2}[/tex]
Canceling the common terms,
[tex]=\dfrac{2y^4}{x^4}[/tex]
So, the correct option is (A).
nd interest for a loan
To pay for an $18,900 truck, Joe made a down payment of $3600 and took out a loan for the rest. On the loan, he paid monthly payments of $338.67 for 4
years.
Answer: He will pay this amount, with interest, over a 4-year period payment that he must make After paying 20% as a down payment, they finance the Determine the monthly payments needed to amortize the loan and months, that payments can be made under each of the following options before the money runs out.
Step-by-step explanation:
I will give BRAINLIEST to whoever answers correctly first!!!
Sophie wants to buy a pair of scissors that cost $1.82. If she gives the cashier a five dollar bill, how
much change should she get back?
Answer:
Sophie will get $3.18 back in change.
Step-by-step explanation:
You do 5.00-1.82 and you get 3.18, which is equal to the change that Sophie will get.
if x varies directly as y,write a formula connecting x and y y.use k as a constant of variaton.
If can someone help me.
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Answer:
Tim is correct. 5/8 > 1/2
Step-by-step explanation:
By taking 5/8 of the lasagna, Tim will be taking more than half (4/8) of it. No remaining share can be larger. Any remaining share will be 3/8 or less, so will be smaller than a 5/8 share.
Tim's 5/8 share is the largest.
Pls help school is almost over
Answer:
correct answer is c
Step-by-step explanation:
2.44x10^-3
Kevin was asked to determine the length of side XZ. His work is shown.
Which error did Kevin make?
Answer:
A.// He has the side lengths in the wrong place in the cosine ratio.
Step-by-step explanation:
A student tosses 4 coins.
What is the probability that all 4 coins show heads?
Step-by-step explanation:
There are 24=16 total possible outcomes of which only one outcome gives rise to all heads. Thus the probability that all coins land heads is 1/16.
What is the value of log
?
1/100
I hope this is gelpful for u
If Terry gives 30% of his sweets to Alex,they will have the same number of sweets.If terry gives 750 of his sweets to Alex,then Alex will have 80% more sweets than Terry.How many sweets does Terry have?
Answer:
Terry has 1500 sweets.
Step-by-step explanation:
This question is solved using a system of equations.
I am going to say that:
x is the number of sweets Terry has.
y is the number of sweets Alex has.
If Terry gives 30% of his sweets to Alex,they will have the same number of sweets.
This means that:
[tex](1 - 0.3)x = y + 0.3x[/tex]
[tex]0.7x = y + 0.3x[/tex]
[tex]y = 0.4x[/tex]
If Terry gives 750 of his sweets to Alex,then Alex will have 80% more sweets than Terry.
This means that:
[tex]y + 750 = 1.8(x-750)[/tex]
We want to find x, and since [tex]y = 0.4x[/tex]
[tex]y + 750 = 1.8x - 1350[/tex]
[tex]0.4x + 750 = 1.8x - 1350[/tex]
[tex]1.4x = 2100[/tex]
[tex]x = \frac{2100}{1.4}[/tex]
[tex]x = 1500[/tex]
Terry has 1500 sweets.
0.01 0.03 0.09 0.35 0.41 0.41 0.41 0.42 0.54 0.57 0.71 0.77 0.83 0.87 0.93 0.95 0.99 1.01 1.01 1.09 1.12 1.33 1.34 1.45 1.48 1.49 1.54 1.65 1.73 1.82 1.87 1.95 1.99 2.02 2.03 2.16 2.32 2.33 2.35 2.46 2.48 2.55 2.61 2.62 2.63 2.69 2.72 2.72 2.85 2.96
find the median
Step-by-step explanation:
[tex]median = \frac{1.48 + 1.49}{2} [/tex]
[tex] = \frac{2.97}{2} [/tex]
[tex] = 1.485[/tex]
a purchasing agent for kelly bread company wants to estimate the mean daily usage of rye flour. she takes a sample for 50 straight days and finds that the sample mean is 180 pounds with a sample standard deviation of 38.5 pounds. State the 90% confidence interval for the mean
Answer:
The 90% confidence interval for the mean is (170.87 , 189.13)
Step-by-step explanation:
Using the calculator we can easily calculate the 90% confidence interval for the mean, the given values are:
mean=180
sx : 38.5
n : 50
c - Level : 0.90
Then the output will be [170.87 , 189.13]
NO LINKS OR ELSE YOU'LL BE REPORTED! Only answer if you're very good at Math.
Let u= (5,-12) and c= -3.What is ||cu||?
A: 21
B: 51
C: 39
D: -39
Answer:
CU=-3(5,-12)
CU=36-15
CU=21
The answer is A=21
Answer:
[tex]=21[/tex]
Correct option is A
Step-by-step explanation:
[tex]-3\left(5-12\right)\\Follow\:the\:PEMDAS\:order\:of\:operations\\\mathrm{Calculate\:within\:parentheses}\:\left(5-12\right)\::\quad -7\\5-12=-7\\=-3\left(-7\right)\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:-3\left(-7\right)\::\quad 21\\-3\left(-7\right)\\\mathrm{Apply\:rule\:}-a\cdot \left(-b\right)\:=\:a\cdot \:b\\-3\left(-7\right)=3\cdot \:7=21\\=21[/tex]
Find the length of an arc of circle of radius 7cm which subtends an angle 84 at the center of the circle
Answer:
Length of the arc = 10. 26
Step-by-step explanation:
14 × 11 / 15
= 154 / 15
= 10.26
Length of the arc = 10. 26
Hope this answer helps you :)
Have a great day
Mark brainliest
A union of restaurant and foodservice workers would like to estimate the mean hourly wage, , of foodservice workers in the U.S. The union will choose a random sample of wages and then estimate using the mean of the sample. What is the minimum sample size needed in order for the union to be confident that its estimate is within of
Answer: the minimum sample size needed = 145
Step-by-step explanation:
Formula for sample size:
[tex]Sample \ size =(\dfrac{z^*\times standard\ deviation}{margin \ of \ error})^2[/tex]
, where z* = Critical z-value
Given: Standard deviation = 2.15
Margin of error = 0.35
Z* for 95% confidence = 1.96
Sample size = [tex](\frac{1.96\times2.15}{0.35})^2[/tex]
[tex]=(12.04)^2\\\\=144.9616\approx145[/tex]
Hence, the minimum sample size needed = 145
find the constant of variation for the relation and use it to write an equation for the statement. Then solve the equation. if y varies directly as X and Z, and t=8/3 when x=1 and z=4, find y when x=6 and z=3
Answer:
The Question isn't clear
Step-by-step explanation:
Answer:
can someone please answer this question correctly for me. i need it asap
Step-by-step explanation:
How many solutions are there for the system of equations shown on the graph?
A coordinate plane is shown with two lines graphed. One line crosses the y axis at 3 and has a slope of negative 1. The other line crosses the y axis at 3 and has a slope of two thirds.
No solution
One solution
Two solutions
Infinitely many solutions
The factory has 6 cutting machines. Each cutting machine cuts 105 parts every 3 minutes. How many parts can all 6 cutting machines cut in 1 minute
Answer:28
Step-by-step explanation:
