Answers
Answer:
Option A
Step-by-step explanation:
[tex]\frac{5-i}{4+3i} *\frac{4-3i}{4-3i} =\frac{20-15i-4i+3i^{2} }{16-9i^{2} }=\frac{20-19i+3(-1)}{16-9(-1)} =\frac{17-19i}{25}=\frac{17}{25}- \frac{19}{25} i[/tex]
Related Questions
The population of a town is 2100 and increasing at a rate of 1.3% per year, while the number of cats in the town is currently 1000 and increasing at a rate of 8% per year. Assuming this trend continues, estimate when the cat population will exceed the human population in this town.
Answers
Answer:
when # cats exceeds 2,313
Step-by-step explanation:
if you graph y = .013x + 2100 and y = .08 + 1000 you will see the lines intersect when the town population is 16,418 and the number of cats equals 2,313.
express 25 as a power with base 5
Answers
Answer: 5
Step-by-step explanation:
Answer:
5^2 or 5 to the power of 2
Step-by-step explanation:
5x5=25
Mrs. Browning bought ice cream treats for 6 children. Each child picked either a sundae or a milkshake. The sundaes cost $2 each and the milkshakes cost $5 each. If Mrs. Browning spent a total of $21, how many of each type of treat did she buy?
Answers
Answer:
3 milkshakes 3 sundaes
Step-by-step explanation:
First write the equation.
y = total cost
x = cost of sundae
z = cost of milkshake
21=2x+5z
x+z=6 or x = 6-z
substitute in x = 6-z into the first equation
21 = 2(6-z) + 5z
21 = 12 - 2z + 5z
21 = 12 + 3z
subtract 12 from both sides
21 - 12 = 12 - 12 + 3z
9 = 3z
divide both sides by 3
3 = z
so she bought 3 milkshakes.
That means x+z = 6 and z=3 so
x+ 3 = 6, then x=3 as well, so she bought 3 sundaes.
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Answer:
she bought 3 sundaes and 3 milkshakes
Step-by-step explanation:
let's call the amount of milkshakes M.
let's call the amount of sundaes S.
you know that in total, there are 6 children.
so, you can make the following equation:
M + S = 6
if the milkshakes cost 5$ each, then the cost of the milkshakes can be expressed as 5m
if the sundaes cost 2$ each, then the cost of the sundaes can be expressed as 2S
you also know that Mrs. Browning spent 21$ in total.
so, you can make the following equation:
5m + 2S = 21
this is a system of equations.
using the first equation, you know that M = 6 - S
you can substitute M for 6 - S in the second equation
5m + 2s = 21
5(6 - s) + 2s = 21
30 - 5s + 2s = 21
30 - 3s = 21
30 = 21 + 3s
30 - 21 = 3s
9 = 3s
3 = snow that you know how many sundaes there are, you can substitute that into the first equation:
m + s = 6
m + 3 = 6
m = 6 - 3
m = 3A consultant for an association of personnel directors wants to find the proportion of clerical personnel that change jobs because they are bored with their work. The consultant queries a random sample of 400 clerical workers who recently changed jobs, 200 of which state that they changed jobs because they were bored. The consultant wishes to prepare a 95% confidence interval for the true proportion changing jobs because of boredom. What is the margin of error for this interval
Answers
Answer:
the margin of error for this interval is 0.049
Step-by-step explanation:
The computation of the margin of error for this interval is shown below;
Given that
n = 400
x = 200
Now
p = x ÷ n = 200 ÷ 400 = 0.5
Now the margin of error is
= [tex]z \times \sqrt{\frac{p(1-p)}{n}} \\\\1.96 \times \sqrt{\frac{0.5 \times 0.5}{400} }[/tex]
= 0.049
Hence the margin of error for this interval is 0.049
Question 5(Multiple Choice Worth 4 points)
PLZZ help!
on a coordinate grid, both point (1, 2) and point (−3, −3) are reflected across the y-axis. What are the coordinates of the reflected points?
(−1, 2) and (3, −3)
(−1, −2) and (3, 3)
(1, −2) and (−3, 3)
(1, 2) and (3, 3)
Answers
Answer:
The first option (a) is correct
Step-by-step explanation:
I need help with this!!
Answers
Answer:
14 burgers
Step-by-step explanation:
3 1/2 ÷ 1/4 = 14
Wilma is tiling her bathroom with tiles that measure 1 foot along each side. The bathroom is 15 feet long and 10 feet wide. She can lay 30 tiles per hour. Which of the following can be used to find the total number of hours it will take Wilma to cover the floor with tiles?
Answers
Answer:
(15 * 10) / 30 = x
Step-by-step explanation:
Since each tile is 1 foot on each side this means that each tile will cover 1 square foot (1ft * 1ft = 1sq. ft.). We would now need to find the square footage of the bathroom by multiplying the bathroom length by its width. Then we can divide that square footage by 30 tiles per hour to find out how long it will take to cover the floor with tiles.
(15 * 10) / 30 = x
150 / 30 = x
5 hours = x
Finally, we can see that at a pace of 30 tiles per hour, Wilma will be able to finish tiling her bathroom in 5 hours.
PLEASE HELP!!
Eight U.S. coins are worth a total of 38 cents. How many of the coins are dimes?
Answers
Take off 3 of the pennies and the 5 that remain would be 3 nickels and 2 dimes
2 dimes=20 cents
3 nickels = 15 cents
3 pennies=3 cents
Or these 8 coins = 38 cents
It is known that the mean cholesterol level for all Americans is 190. Construct the relevant hypothesis test to show that only children have an average higher cholesterol level than the national average. We tested 100 children and find out the mean is 198. You can use your own confidence level. (All Americans Standard Deviation is 15)
Answers
Answer:
95% of confidence intervals are
(197.706 , 198.294)
Step-by-step explanation:
Explanation:-
Given sample size 'n'=100
Mean of the sample x⁻ = 198
The standard deviation of the Americans =15
95% of confidence intervals are determined by
[tex](x^{-} - Z_{\alpha } \frac{S.D}{\sqrt{n} } , x^{-} +Z_{\alpha } \frac{S.D}{\sqrt{n} })[/tex]
Level of significance = 0.05
Z₀.₀₅ = 1.96
= [tex](198 - 1.96 \frac{15}{\sqrt{100} } , 198 +1.96\frac{15}{\sqrt{100} })[/tex]
= ( 198 -0.294 ,198 +0.294)
= (197.706 , 198.294)
95% of confidence intervals are
(197.706 , 198.294)
1) There are about 20 million people in New York State, with a total land area of about 47,000 square miles.
What is the population density of New York State?
A. 0.0004 people per sq. mile
B. 426 people per sq. mile
C. 2,350 people per sq. mile
D. 940,000 people per sq. mile
Answers
Step-by-step explanation:
B. 426 people per square. mile
I need the answer quickly
Answers
Now you change the operation to multiplication
6/7x8/7
Therefore the answer will be 48/49.
CAN SOMEBODY PLEASE HELP ME!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
x-intercept=-2
y-intercept=3
Helpppppppppppppppppppppppppppppppppppppp ASAP
Answers
Answer:
is it not the plus sign? (+)
Step-by-step explanation:
What will be the result of substituting 2 for x in both expressions below!
PLZ HELP!!
Answers
Answer:
A
Step-by-step explanation:
edge
Let f(x) = 2x - 5 and g(x) = 3x. Perform the indicated
operation.
g(x)/f(x)
SOMEONE HELP PLZ
Answers
Answer:
f{3x}=6x-5
Step-by-step explanation:
There isn't really much to do: if you perform the division between function you get a new function:
[tex]h(x)=\dfrac{g(x)}{f(x)}=\dfrac{3x}{2x-5}[/tex]
Which expression is equivalent to StartFraction 1 Over sine (2 x) EndFraction minus StartFraction cosine (2 x) Over sine (2 x) EndFraction?
tan(x)
–tan(x)
StartFraction 1 Over cosine (x) EndFraction
Negative StartFraction 1 Over cosine (x) EndFraction
Answers
Answer:
Tan(x)
Step-by-step explanation:
JUST TOOK THE TEST
tan(x) is equivalent to 1/sin2x - cos2x/sin2x. Option a is correct.
To determine equivalent 1/sin2x - cos2x/sin2x.
tan(x) is tangent of x here, tan is trigonometric operator.
Here,
= 1/sin2x - cos2x/sin2x
= (1-cos2x)/sin2x
= (2sin²x)/2sinxcosx
= sin(x)/cos(x)
= tan(x)
Thus, tan(x) is equivalent to 1/sin2x - cos2x/sin2x.
Learn more about tan(x) here:
https://brainly.com/question/15391269
#SPJ5
Help me with this question ASAPPPP!!!!!!!
Answers
Answer:
B
Step-by-step explanation:
I think its B
Hope this helps!
The Serenity and the Mystic are sail boats. The Serenity and the Mystic start at the same point and travel away from each other in opposite directions. The Serenity travels at 16 mph and the Mystic travels at 20 mph. How far apart will they be in 2 hours? A. 52 miles B. 56 miles C. 40 miles D. 72 miles
Answers
Answer:
te puedo responder pero debes hacer primero tu tarea
Step-by-step explanation:
p(x)=2x3-3x2+14x÷15 and why?
Answers
Answer:
I think you have not written the full question
Complete the sentence. The x-distance between two points tells you
Answers
Answer:
distance
Step-by-step explanation:
Step-by-step explanation:
The key to finding the distance between two points is to remember that the geometric definition of subtraction is the distance between the two numbers as long as we subtract the smaller number from the larger.
Distribute 2(-3x + 5)
Answers
Answer:
= −6x+10
Step-by-step explanation:
Answer:
-6x+10
Step-by-step explanation:
Multiply the 2 by each figure in the parenthesis. So, it becomes the sum of (2)-3x and 2(5), which is -6x+10.
The value of a car depreciates every year ata constant rate, Gary bought a car for $25,000 in the year 2013. If the value of the car is expected to depreciate 15% annually, what can Gary expect for the value of his car in the year 2017?
Answers
Answer:
Step-by-step explanation:
15×4(which is the difference in the year)=60%(this is the depreciation percent)
The value of the car in 2017=40/100×25000=$10000
Question
You flip a coin 10 times and get heads 6 times. Based on this experiment, what is the probability of flipping a coin and
getting heads?
Select the correct answer below:
FEEDBACK
Content attribution
MORE INSTRUCTION
SUBMIT
Answers
I need the answers to this ASAP
Answers
Answer:
First Answer: A = $ 4,247.03
A = P + I where
P (principal) = $ 4,000.00
I (interest) = $ 247.03
Second Answer : A = $ 6,325.22
A = P + I where
P (principal) = $ 5,500.00
I (interest) = $ 825.22
Third Answer: A = $ 7,735.55
A = P + I where
P (principal) = $ 7,000.00
I (interest) = $ 735.5
Fourth Answer: A = $ 7,735.55
A = P + I where
P (principal) = $ 7,000.00
I (interest) = $ 735.55
Step-by-step explanation:
HOPE IT HELPS MARK ME BRAINLIEST :)
In triangle $XYZ,$ $\angle Y = 45^\circ$ and $\angle Z = 60^\circ.$ If $XZ = 4,$ then what is $XY$?
[asy]
unitsize(3 cm);
pair X, Y, Z;
X = (0,1);
Y = (-1,0);
Z = (1/sqrt(3),0);
draw(X--Y--Z--cycle);
label("$45^\circ$", Y + (0.3,0.1), fontsize(10));
label("$60^\circ$", Z + (-0.2,0.1), fontsize(10));
label("$X$", X, N);
label("$Y$", Y, SW);
label("$Z$", Z, SE);
label("$4$", (X + Z)/2, NE);
[/asy]
Answers
Answer:
[tex]XY = 4.9[/tex]
Step-by-step explanation:
[tex]\angle Y = 45^\circ[/tex]
[tex]\angle Z = 60^\circ[/tex]
[tex]XZ = 4[/tex]
Required
Determine the length of XY?
This question is supported with the attachment.
To solve for the length of XY, we make use of the sine law which states:
[tex]\frac{sin\ A}{a} = \frac{sin\ B}{b} = \frac{sin\ C}{c}[/tex]
In this case:
[tex]\frac{sin\ \angle Y}{XZ} = \frac{sin\ \angle Z}{XY} = \frac{sin\ X}{YZ}[/tex]
Substitute in, the following values:
[tex]\angle Y = 45^\circ[/tex]
[tex]\angle Z = 60^\circ[/tex]
[tex]XZ = 4[/tex]
The expression becomes:
[tex]\frac{sin\ 45}{4} = \frac{sin\ 60}{XY}[/tex]
Cross multiply
[tex]XY * \sin\ 45 = 4 * \sin\ 60[/tex]
Make XY the subject
[tex]\frac{XY * \sin\ 45}{\sin\ 45} = \frac{4 * \sin\ 60}{\sin\ 45}[/tex]
[tex]XY = \frac{4 * \sin\ 60}{\sin\ 45}[/tex]
[tex]XY = \frac{4 * 0.8660}{0.7071}[/tex]
[tex]XY = \frac{3.4640}{0.7071}[/tex]
[tex]XY = 4.89888276057[/tex]
[tex]XY = 4.9[/tex] --- approximated
Answer:
XY = 4.9
Step-by-step explanation:
How do you write a graph that passes through the point (5, -1) and has a slope of 2 in Slope Intercept Form?
Answers
y = 2x + b
Plug in the point
-1 = 2(5) + b
-1 = 10 + b, b = -11
Answer: y = 2x - 11
Answer:
y=2x-11
Step-by-step explanation:
-1=2(5)+b
-1=10+b
-11=b
NEED HELP!!!!!!!!!!!!!
Answers
The answer to your question is DG.
HELP PLEASE EXPERTS! the question is in the picture
Answers
Answer:
B) 6
Step-by-step explanation:÷
The area of a triangle = 1/2 b* h or [tex]\frac{b*h}{2}[/tex]
Line AB = 4
Line AC = 3
Line BC = x
b = 3
since it is at a right angle,
h = 4
[tex]\frac{3*4}{2}[/tex] = 6
Area of a triangle = b•h•1/2
base = 3
height = 4
3•4•1/2 = 6
If y = 14 when x = 5,
find x when y = 28.
Answers
Answer:
10
Step-by-step explanation:
if its originally y=14 and x=5, if u switch y to 28 it would be 2x as much as 14 so u would multiply 5x2 aswell. hope i helped!!
20% tip of the cost of a d dollar dinner
Answers
Answer: 0.2d
Step-by-step explanation: For calculating the 20% tip of the cost in dollars of a dinner, simply multiply 0.2 by the cost of dollars of a dinner. 0.2 represents 20% and by using the variable "d" to represent the cost of the dinner, you can write this equation: 0.2d.
