Answers
Answer:
[tex]\frac{-2+i}{-4-5i} = \frac{3}{41}-i\frac{14}{41}[/tex]
Step-by-step explanation:
[tex]\frac{-2+i}{-4-5i}[/tex]
Apply complex arithmetic rule: [tex]\frac{a + bi}{c + di} = \frac{(c-di) (a + bi)}{(c-di) (c + di)} =\frac{(ac+bd)+(bc-ad)i}{c^2+d^2}[/tex]
[tex]a=-2,b=1, c=-4,d=-5[/tex]
[tex]=\frac{\left(-2\left(-4\right)+1\cdot \left(-5\right)\right)+\left(1\cdot \left(-4\right)-\left(-2\right)\left(-5\right)\right)i}{\left(-4\right)^2+\left(-5\right)^2}[/tex]
Refine:
[tex]=\frac{3-14i}{41}[/tex]
Rewrite [tex]\frac{3-14i}{41}[/tex] in standard complex form: [tex]\frac{3}{41} - \frac{14}{41}i[/tex]
Final answer: [tex]\frac{3}{41} - \frac{14}{41}i[/tex]
Hope I helped! If so, may I get Brainliest and a Thanks?
Thank you, Have a good one! =)
Answer:
3/41=14i/41
Step-by-step explanation:
Related Questions
An ice cream store sells 26 flavors of ice cream, determine the number of 6 dip sundaes. how many are possible if order is not considered and no flavor is repeated?
Answers
Answer:
8,855
Step-by-step explanation:
The number of possible orders is 2,30,230.
What is combination?Combinations are ways to choose things from a collection where the order of the choices is irrelevant. Let's say we have a trio of numbers: P, Q, and R. Then, combination determines how many ways we can choose two numbers from each group.
The definition of the combination is "An arrangement of objects where the order of the objects is irrelevant." Combining the words indicates "Selection of things," where the order of the items is irrelevant.
Given total numbers of flavours = 26
number of dip = 6
Combinations allows us to create various sets of x components from a total of n elements, where their order is irrelevant and no member is repeated.
Combinations can be mathematically stated as:
ⁿCₓ = [tex]\frac{n!}{(n - x)!x!}[/tex]
we have n = 26
and x = 6
ⁿCₓ = [tex]\frac{n!}{(n - x)!x!}[/tex]
²⁶C₆ = [tex]\frac{26!}{(26 - 6)!6!}[/tex]
26! = 26 x 25 x 24 x 23 x 22 x........ x 1
6! = 6 x 5 x 4 x 3 x 2 x 1
²⁶C₆ = 26!/(20!6!)
²⁶C₆ = 26 x 25 x 24 x 23 x 22 x 21 x 20!/(20!6!)
²⁶C₆ = 26 x 25 x 24 x 23 x 22 x 21/(720)
²⁶C₆ = 2,30,230
Hence the numbers of orders are 2,30,230.
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Hope researches the impact of one variable on another. She graphs the data from her research and sees that the data forms a shape that is similar to an arch. What conclusion can Hope draw from her graph?
Answers
Answer:
She can determine that while there is an association between the variables, there is no correlation, and she cannot determine causation.
Step-by-step explanation:
Since there is an arch shape to her graph, we know that as one variable changes, the other changes in the same manner. This means there is an association between the variables.
However, since the graph is not linear, there is no correlation between the variables. Since there is no correlation, we cannot determine causation.
Mark me as brainiest
Answer:
Sample response
Step-by-step explanation:
Because the graph shows a pattern that is an arch shape, Hope can conclude that there is an association between the variables. However, because the relationship is not linear, there is no correlation. The pattern shows that as one variable changes, the other variable changes in the same way. This does not imply that a change in one variable causes the change in the other variable to happen. Hope cannot conclude that there is a causal relationship.
ЗХ - 2y = 7
6x - 4y = 14
Answers
Answer:
They are the same line.
Maria is framing an 8 inch by 10 inch photograph with matting as shown. Which is an expression for the area of the photograph with the mat?
Answers
Answer:
[tex] 4x^2 + 36x + 80 [/tex]
Step-by-step explanation:
Area of the photograph with the mat = area of the photograph + area of the mat
Area of the photograph = length * width = 10*8 = 80 in²
Area of the mat:
Decompose the mat frame into 4 rectangles and 4 squares (these are the corners of x*x dimensions)
The 4 rectangles = 2(8*x) + 2(10*x) = 16x + 20x = 36x
The 4 squares (the corners) = 4(x*x) = 4x²
The area of the photograph with the mat = 80 + 36x + 4x²
Rearrange in standard form:
The expression for the area would be:
✅[tex] 4x^2 + 36x + 80 [/tex]
I need help with a graph it said u need to find the slope
Answers
Help me
A room is 12 feet long and 10.5 feet wide. A scale model of the room is 3.5 feet wide. What is the area of the scale model?
a: 10.3 square feet
b:14 square feet
C; 36 square feet
d: 122.5 square feet
Answers
gle
22+22
Whoever answers first gets Brainlyiest
Answers
Answer:
44
Step-by-step explanation:
Answer:
44
Step-by-step explanation:
how many times can 38 go into 192 using long division
Answers
Answer: 5.0526
Step-by-step explanation:
Step 1:
Start by setting it up with the divisor 38 on the left side and the dividend 192 on the right side like this:
3 8 ⟌ 1 9 2
Step 2:
The divisor (38) goes into the first digit of the dividend (1), 0 time(s). Therefore, put 0 on top:
0
3 8 ⟌ 1 9 2
Step 3:
Multiply the divisor by the result in the previous step (38 x 0 = 0) and write that answer below the dividend.
0
3 8 ⟌ 1 9 2
0
Step 4:
Subtract the result in the previous step from the first digit of the dividend (1 - 0 = 1) and write the answer below.
0
3 8 ⟌ 1 9 2
- 0
1
Step 5:
Move down the 2nd digit of the dividend (9) like this:
0
3 8 ⟌ 1 9 2
- 0
1 9
Step 6:
The divisor (38) goes into the bottom number (19), 0 time(s). Therefore, put 0 on top:
0 0
3 8 ⟌ 1 9 2
- 0
1 9
Step 7:
Multiply the divisor by the result in the previous step (38 x 0 = 0) and write that answer at the bottom:
0 0
3 8 ⟌ 1 9 2
- 0
1 9
0
Step 8:
Subtract the result in the previous step from the number written above it. (19 - 0 = 19) and write the answer at the bottom.
0 0
3 8 ⟌ 1 9 2
- 0
1 9
- 0
1 9
Step 9:
Move down the last digit of the dividend (2) like this:
0 0
3 8 ⟌ 1 9 2
- 0
1 9
- 0
1 9 2
Step 10:
The divisor (38) goes into the bottom number (192), 5 time(s). Therefore put 5 on top:
0 0 5
3 8 ⟌ 1 9 2
- 0
1 9
- 0
1 9 2
Step 11:
Multiply the divisor by the result in the previous step (38 x 5 = 190) and write the answer at the bottom:
0 0 5
3 8 ⟌ 1 9 2
- 0
1 9
- 0
1 9 2
1 9 0
Step 12:
Subtract the result in the previous step from the number written above it. (192 - 190 = 2) and write the answer at the bottom.
0 0 5
3 8 ⟌ 1 9 2
- 0
1 9
- 0
1 9 2
- 1 9 0
2
You are done, because there are no more digits to move down from the dividend.
The answer is the top number and the remainder is the bottom number.
Therefore, the answer to 192 divided by 38 calculated using Long Division is: 5.0526
n × $3.05 = $305.00=
Answers
Answer:
n = 100
Step-by-step explanation:
Step 1:
n × $3.05 = $305 Equation
Step 2:
n = $305 ÷ $3.05 Divide
Answer:
n = 100
Hope This Helps :)
Points and Brainliest Giveaway!
What is the simplified form?
(2x^2 + 3x) + (4x^2 -7)
Answers
Answer:
Explanation:
We can factor the numerator and denominator as;
(
x
−
2
)
(
x
−
1
)
2
x
(
x
−
1
)
We can now cancel common term in the numerator and denominator:
(
x
−
2
)
(
x
−
1
)
2
x
(
x
−
1
)
⇒
x
−
2
2
x
However, we cannot divide by
0
so we must exclude:
2
x
=
0
⇒
x
=
0
and
x
−
1
=
0
⇒
x
1
x
2
−
3
x
+
2
2
x
2
−
2
x
=
x
−
2
2
x
Where:
x
≠
0
and
x
≠
1
Or
x
2
−
3
x
+
2
2
x
2
−
2
x
=
x
2
x
−
2
2
x
=
1
2
−
1
x
Where:
x
≠
0
and
x
≠
1
Step-by-step explanation:
Answer:
[tex](2x^2+3x)+(4x^2-7)[/tex] =
[tex]6x^2+3x-7[/tex]
Which sample fairly represents the population? Select two options.
measuring the height of every fiftieth person on the school roster to determine the average height of the boys in the school
calling every third person on the soccer team’s roster to determine how many of the team members have completed their fundraising assignment
observing every person walking down Main Street at 5 p.m. one evening to determine the percentage of people who wear glasses
sending a confidential e-mail survey to every one-hundredth parent in the school district to determine the overall satisfaction of the residents of the town
taking a poll in the lunch room (where all students currently have to eat lunch) to determine the number of students who want to be able to leave campus during lunch
Answers
Answer:
...
Step-by-step explanation:
where is the question
Answer:
a and d
Step-by-step explanation:
WILL GIVE BRAINIEST HELP ASAP
Question 6 Multiple Choice
Worth 1 points)
(03.06 LC)
Determine if the sequence is arithmetic or geometric, and find the common difference or ratio.
Х
1
2
3
4.
f(x) 81 72 63 54
Arithmetic, common difference = 9
Arithmetic, common difference = -9
Geometric, common ratio = 9
Geometric, common ratio = -9
Answers
Answer:
arthimetic 9
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
Help. Pls............... :/
Il give brainliest
Answers
Answer: Im horrible at geo sorry >_<
Step-by-step explanation:
Answer:
I already answer your old one :/
Step-by-step explanation:
Partial products of 16 x 34
Answers
Answer:
544
Step-by-step explanation:
trust me math is easyyy
The required partial product is given as 340 + 204 = 544.
Given that,
To determine the partial product of the 16 × 34.
In mathematics, partial products are defined as multiplying each digit of one integer by each digit of another number while keeping each digit's place value.
here,
According to the question,
16 × 34 = [10 + 6] × 34
= [10 × 34 + 6 × 34]
= [340 + 204]
= 544
Thus, the required partial product is given as 340 + 204 = 544.
Learn more about the partial products here:
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PLEASEEEE HELP!!!The function y=15(0.84)^x models the amount y of a 15mg dose of
antibiotic remaining in the bloodstream after x hours. How much remains
after 8 hours? *
A)7.52mg
B)3.25mg
C)5.63mg
D)03.72mg
Answers
Answer:
3.72
Step-by-step explanation:
y=15(0.84)^8
15*0.84
12.6*8
y=3.72
Answer:
3.72
Step-by-step explanation:
:)
f(x) = 2(x + 4)^2 (x - 2)
Answers
Answer:
3
Step-by-step explanation:
hope it helpz >-<
9.173 what is the value of 9?
Answers
Answer:
the value of 9 is ones
Answer:
9
Step-by-step explanation:
Each line represents a proportional relationship. Write an equation for each line. Show your work.
Answers
Answer:
The equation of line a is y = x
The equation of line b is y = [tex]\frac{2}{3}[/tex] x
Step-by-step explanation:
The equation of the proportional is y = m x, where
m is the slope of the line (constant of proportionality)The rule of the slope of a line is m = [tex]\frac{y2-y1}{x2-x1}[/tex] , where
(x1, y1) and (x2, y2) are two points on the line∵ Line a passes through points (0, 0) and (3, 3)
∴ x1 = 0 and y1 = 0
∴ x2 = 3 and y2 = 3
→ Substitute them in the rule of the slope above
∵ m = [tex]\frac{3-0}{3-0}=\frac{3}{3}[/tex]
∴ m = 1
→ Substitute in the form of the equation above
∴ y = (1)x
∴ y = x
∴ The equation of line a is y = x
∵ Line b passes through points (0, 0) and (3, 2)
∴ x1 = 0 and y1 = 0
∴ x2 = 3 and y2 = 2
→ Substitute them in the rule of the slope above
∵ m = [tex]\frac{2-0}{3-0}=\frac{2}{3}[/tex]
∴ m = [tex]\frac{2}{3}[/tex]
→ Substitute in the form of the equation above
∴ y = ([tex]\frac{2}{3}[/tex]) x
∴ y = [tex]\frac{2}{3}[/tex] x
∴ The equation of line b is y = [tex]\frac{2}{3}[/tex] x
Soryyyyyyyyyyyyyy this one to
Answers
The two congruent sides will have congruent angles. One angle measurement is given. Triangle angles equal 180.
Take 180 and subtract the given angle 93.5. Then divide by 2 to get the measurements x and the other unknown.
180 - 93.5 = 86.5
86.5/2 = 43.25
Which points are reflections of each other across both axes? A coordinate plane. (–2, 8) and (2, –8) (–7, –1) and (–7, 1) (5, –6) and (–5, –6) (4, –3) and (–3, 4)
Answers
Answer:
(-2,8) and (2,-8)
the second is a reflection across the x axis
the third is a reflection across the y axis
this just reverse the points, i'm not sure if it's anything
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
What is the value of this expression when t = -12?
-3|t − 8| + 1.5
A.
61.5
B.
13.5
C.
-10.5
D.
-58.5
i think it is c but i am not sure
Answers
Answer:
D
Step-by-step explanation:
I am sorry but I can not give you how I got thinms answer but i do know tgat the answer is correct
Please help. I can not figure it out. I will mark brainliest.
Answers
(20-30)/(1-0) = -10/1 = -10 slope
We know y intercept is 30
Equation: y = -10x + 30
Your family got an awesome Black Friday deal on 85 inch big screen TV for $800. This was 60% off the original price? How much was the original price?
Answers
Answer:
1120
Step-by-step explanation:
Use a graphing calculator or online application to find the solution to to the nearest tenth.
The solution is approximately
Answers
Answer:
it would be 98%
Step-by-step explanation:
A recipe uses 3 eggs for every 8 cups of flour. What is the ratio of eggs to flour in the recipe?
8 to 3
StartFraction 3 over 8 EndFraction
3 to 11
8:3
Answers
Answer:3:8 or 3/8
Step-by-step explanation:
How do you Solve t/−5=−7.
Answers
Step-by-step explanation: 35/-5 = -7
T= 35 hope this helps
Francis has a credit card that uses the previous balance method. The opening
balance of one of his 30-day billing cycles was $0, but this was his balance
for only the first 15 days of the billing cycle. He then made a purchase that
increased his balance to $3600, and his balance stayed this amount for the
remainder of the billing cycle. If his credit card's APR is 21%, how much was
Francis charged in interest for the billing cycle?
Answers
Answer: $0
Step-by-step explanation:
<3 i just took it and got it wrong, do not be like me <3
tell me the lcm of 30 and 60
Answers
Answer:
60.
Step-by-step explanation:
Please help as fast as you can please!
Answers
Answer:
B
Step-by-step explanation:
Make 4 [tex]\frac{2}{5}[/tex] an improper fraction. To do that multiply the denominator, 5 by 4, which gets you 20. Then add the numerator, 2, to get 22. put the original denominator back into the fraction, and you get [tex]\frac{22}{5}[/tex] . If you divide that by [tex]\frac{2}{5}[/tex] , you would get 11 because you divide the numerator and the denominators cancel each other out since they are both the same number, and 22 ÷ 2 = 11.
Band students at Centerville High School sell candy every year as a fundraiser. Last year,
they sold 54 boxes of truffles and 92 boxes of peanut brittle, raising a total of $492. This
year, they sold 70 boxes of truffles and 92 boxes of peanut brittle, from which they raised
$556. How much does the band earn from each item?
The band earns $___ from each box of truffles and $____
from each box of peanut
brittle.
Answers
Answer:
Is there any answer options.?
Step-by-step explanation: