Answer:
x=2(5−3iy−2i)
Step-by-step
Regroup terms.
5-3iy= \frac{1}{2} x+2i
Simplify \frac{1}{2}x\frac{x}{2}
5-3iy= \frac{x}{2}+2i
Subtract 2i from both sides.
5−3iy−2i= \frac{x}{2}
Multiply both sides by 2.
(5−3iy−2i)×2=x
Regroup terms
2(5−3iy−2i)=x
Switch sides
x=2(5−3iy−2i)
The solution for the variables x and y are 30 and -2/3 respectively:
Given the expression 15-3yi=1/2x+2i, to solve for the value of x and y, we need to compare the real and the imaginary sides as shown:
Comparing the real sides:
[tex]15=\frac{x}{2} \\x= 15\times 2\\x = 30[/tex]
For the imaginary sides:
[tex]-3yi=2i\\-3y = 2\\y = -\frac{2}{3}[/tex]
Hence the solution for the variables x and y are 30 and -2/3 respectively:
Learn more here: https://brainly.com/question/17794535
1) Sqrt (115) lies between what two numbers?
Answer:
it lies between 10 and 11
Step-by-step explanation:
I need help on this
ASAP
Answer:
the answer is 1
Step-by-step explanation:
one is an odd number
Suppose 60% of the graduating class in certain high schools goes to college. If 240 students from this graduating class are going to college how many students are in class
Answer:
4
Step-by-step explanation:
because it is
If x ≅ y, state the reason why lines p and q are parallel.
What is the value of the expression below when z=9
BRAINLIEST, 40 points
A girl's feet are negative 2/4 yards from the surface of a pool. A boy's feet are negative 3/4 yards from the surface of the pool. Determine whose feet are closer to the surface.
A. The girl's feet are closer to the surface of the pool because negative 2/4 > negative 3/4.
B. The boy's feet are closer to the surface of the pool because negative 2/4 > negative 3/4.
C. The girl's feet are closer to the surface of the pool because negative 2/4 < negative 3/4.
D. The boy's feet are closer to the surface of the pool because negative 2/4 < negative 3/4.
Answer:
A
Step-by-step explanation:
as a negitive 1/2 is closer than 3/4
Label each point on the number line with the correct value. Each dot represents a potential answers for each number.
Answers:
Point A = 0.62Point B = 7/9Point C = 10/9===================================================
Explanation:
Using a calculator, we get the following decimal approximations
1/3 = 0.3332/3 = 0.6677/9 = 0.77810/9 = 1.111Based on that, we see that 0.620 is between 0.333 and 0.667
We can say 0.333 < 0.620 < 0.667
which is the same as 1/3 < 0.62 < 2/3
So, 0.62 is between 1/3 and 2/3
0.62 will be placed at point A.
--------------
Since 7/9 = 0.778 is between 2/3 = 0.667 and 1, this means,
7/9 will go to point B.
--------------
Since 1.111 > 1, this means 10/9 > 1
Therefore 10/9 will go to point C
Please help if you know how to do this, thanks
Answer:
6) see https://brainly.com/question/18513777
7) y = 0x^2 +3x -7; (A, B, C) = (0, 3, -7); a linear equation
8) p ≈ -0.213312t^2 +2.08483t +22.9624; p(11) ≈ 20.08; between 20,000 and 20500
Step-by-step explanation:
7) The result of using a graphing calculator to find a quadratic model for the given points is shown in the first attachment. The equation is ...
y = 0x^2 +3x -7 . . . . . A, B, C = 0, 3, -7
The A coefficient of 0 tells you this is a linear equation.
__
8) The quadratic regression model* found by my graphing calculator is ...
p ≈ -0.213312t^2 +2.08483t +22.9624
The "work" is shown in the second attachment. (Apparently, you have a regression tool you're supposed to use.)
Evaluating this equation for t=11 (corresponding to 11 years after 1996), we find ...
p = (-0.213312·11 +2.08483)·11 +22.9624 = -0.261602·11 +22.9624
p ≈ 20.084778 ≈ 20.08 . . . . thousands
The population in 2007 is between 20,000 and 20,500.
_____
* We're not sure exactly what is supposed to be rounded to 2 decimal places. Error tends to creep up if the quadratic coefficients are rounded to 2 decimal places, but you may be expected to enter your answer that way.
The population in thousands is "between 20 and 21" when rounded to 2 decimal places. It makes no sense to compute the population (in people) as 20,084.78, rounded to 2 decimal places. We have chosen 20,000-20,500 as the answer to the question about population in 2007, because the question doesn't ask for thousands.
If I || m, find the value of x (9x-4) ८(5x + 16)
Answer:Wait a sec
Step-by-step explanation:
Find the additive inverse of
-100
Answer:
Hey mate.....
Step-by-step explanation:
This is ur answer.....
---> 100
hope it helps you,
mark me as the brainliest....
Follow me....
Question 5
60% of 50
Question 6
25% of 16
What four shapes that have opposite sides that are parallel
Answer:
Hmmm square alsooooo let me thinkk
Step-by-step explanation:
Whats kjfsjfhafkjsfvkasvkasfjgajsf 10 + 2
Answer:
12
Step-by-step explanation:
I think that’s what u saying
Answer:
12
Step-by-step explanation:
10+2=12
A rectangle has a width of 3∕4 inches and a length of 9∕10 inches. Another rectangle is larger but still proportional to the first rectangle. It has a width of 30 inches and a length of 36 inches. What proportion could model this situation?
Question 1 options:
A)
B)
C)
D)
Answer:
Bigger size / smaller size = 40
Step-by-step explanation:
Notice that we
36 / (9/10) = 30 / (3/4) = 40
Therefore the proportion model would be
Bigger size / smaller size = 40
A pond at a hotel holds 4,290 gallons of water. The groundskeeper drains the pond at a rate of 78 gallons of water per hour. How long will it take to drain the pool? Idk why it says I'm in college.
Answer:It will take
55
hour to drain the pond.
Explanation:
Time require
=
4290
78
=
55
hour.
It will take
55
hour to drain the pond.[Ans]
Answer link
Related questions
What is rates of change?
Can
Step-by-step explanation:
Consider the system of inequalities x < 10 and x > 3
How many solutions are there to this system of inequalities?
What is the largest value of x in the solution set?
Explain your responses in the box below.
Answer:
There are 6 different solutions. The largest value of x in the solution set is 9.
Step-by-step explanation:
X has to be less than 10 and greater than 3. So it has to be 4 5 6 7 8 or 9
Which expressions are equivalent to z + (z+6)?
Choose all answers that apply:
A: (z+z) (z+6)
B: (z + 6) +6
C: 2(z+3)
A 12 ounce starbucks latte costs $3.36. What is the constant of proportionality that relates the codt in dollars,y,to the number of ounces,x,in a starbucks latte?
Answer:0.28
Step-by-step explanation:
3.36÷12= 0.28
The constant of proportionality is 0.28 dollars per pounds.
An equation is used to show the relationship between two or more numbers and variables.
Let y represent the cost in dollars for x number of ounces.
Since y is proportional to x, hence it van be represented by:
y = kx
where k is the constant of proportionality.
Given that:
A 12 ounce starbucks latte costs $3.36. Therefore:
3.36 = 12k
k = 0.28
The constant of proportionality is 0.28 dollars per pounds.
Find out more on proportionality at:https://brainly.com/question/24868934
Select the correct answer.
Ralph buys an antique vase for $400 and sells the vase for $600. How does he enter the profit or loss in his account book?
A. -$200
B. +$200
C. +$400
D. +$600
Answer:
The answer is B. +$200.
Step-by-step explanation:
Because when Ralph purchased the vase for $400 and is selling them at a higher price for $600. The difference is $200. He has gained $200 as a profit for every vase that is sold.
Write down the whole numbers less than 5?
Answer:
1,2,3,4 and all the negitive numbers but I do not think they need negitive
Step-by-step explanation:
Whole numbers are numbers that do not have decimals or fractions
barbara had $128 in her account and spent 62% on groceries. how much money does she have now?
Answer:
48.64
Step-by-step explanation:
128-62%= 48.64
So she has 48.64 dollars left.
Hope this helps:)
Answer:
$79.36
Step-by-step explanation:
Just move the decimal over in your percentage over two so you get .62 and multiply
128 * .62 = 79.36
Let me know if this helped!
In the figure below, ABC is similar to XYZ . What is the length of ZX ? Enter only the number as an integer or decimal. An image shows two similar right triangles, A B C and X Y Z. Triangle A B C is smaller than triangle X Y Z. In triangle A B C, side A B is 2, side B C is 4, and side C A is 3. In triangle X Y Z, side X Y is 7, side Y Z is 14, and side Z X is labeled N.
Given:
Triangle ABC is similar to triangle XYZ.
In triangle ABC AB=2, BC=4, CA=3.
In triangle XYZ, XY=7, YZ=14, ZX=N.
To find:
The length of ZX.
Solution:
If two triangles are similar, then their corresponding sides are proportional.
Since [tex]\Delta ABC\sim \Delta XYZ[/tex], therefore
[tex]\dfrac{AB}{XY}=\dfrac{BC}{YZ}=\dfrac{CA}{ZX}[/tex]
[tex]\dfrac{2}{7}=\dfrac{4}{14}=\dfrac{3}{N}[/tex]
[tex]\dfrac{2}{7}=\dfrac{2}{7}=\dfrac{3}{N}[/tex]
[tex]\dfrac{2}{7}=\dfrac{3}{N}[/tex]
On cross multiplication, we get
[tex]2\times N=3\times 7[/tex]
[tex]2N=21[/tex]
Divide both sides by 2.
[tex]N=\dfrac{21}{2}[/tex]
[tex]N=10.5[/tex]
Therefore, the length of side ZX is 10.5 units.
Reflect triangle across the x-axis. What are the coordinates of B'?
у
C
A
Pre-image
Image
Final Image
A(-5,6)
=(-5.-6)
A =(2,-6)
B
B
с
Rule:
(4.-3)
O (4,3)
O(-4,-3)
Answer:
O (-4,-3) is the answer
A lifeguard received 15
Answer:
c
Step-by-step explanation:
Can someone please help me with this
18,000,000
Step-by-step explanation:
if you need an explanation, then comment on this answer. :)
please help me asap
Answer:
12. D
13. D
Step-by-step explanation:
12: 1/4 = .25
7/16 = .4375
5/8 = .625
3/4 = .75
6 * 7 = 42
42 + 4 = 46
46/7
Answer:
12. Its D (A= 1/4, B= 7/16. C= 5/8, and D= 3/4)
13. 42/7 or A
Explanation: I worked it out lol
Which measurement is greater 0.087 kg or 0.800 kg
Answer:
0.800 kg
Step-by-step explanation:
a shopkeeper bought 12pencil for rs16.how much he sell one pencil to gain 50percent
Answer:
1 dozen pen = 13
so
Step-by-step explanation:
i think 16/12 * 50 =66.66
for one pen = 66.66/100 I am not sure
Answer:
Rs 2
Step-by-step explanation:
12 pencils = Rs 16
50% profit on Rs 16 = 50/100 × 16 = 8
selling price = 16 + 8 = 24
cost of 1 pencil = 24/12 = Rs 2
The average persons stride length
Answer:
5 feet/ 60 inches
hope this helps :)
Round to the nearest 10.
Answer:
Rounding numbers to the nearest 10 means finding which 10 they are nearest to. For example, 68 rounded to the nearest 10 is 70.i hope this helps