Review the graph of complex number z.
On a coordinate plane, the y-axis is labeled imaginary and the x-axis is labeled real. Point z is at (5, negative 5).
What is the polar form of z?
Answers
Answer:
It is D
Step-by-step explanation:
Looking at the Graph the point is at 5-5i
the only polar form that solves to 5-5i is D.
Also I did it on Edge.. Good Luck!
The complex number z represented on the graph (5, -5) is given as 5√2[cos(-π/4) + isin(-π/4)] in polar form
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given the complex number z represented on the graph as (5, -5). Therefore:
r = √(5² + 5²) = 5√2
Ф = tan⁻¹(-5/5) = -π/4
The complex number z represented on the graph (5, -5) is given as 5√2[cos(-π/4) + isin(-π/4)] in polar form
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Related Questions
Evaluate the equation when x = 2, y = -1, and z =3
y/z+3y
Answers
17/3
(Mark me the brainliest if this was helpful)
Here is a linear equation: y = 1/4x + 2. What is the x-intercept of the graph of the equation? Submit and Explain
pls help
Answers
0=1/4x+2 mult both sides by 4
0=x+8 Move the variable to the left-hand side and change its sign
-x=8 Change the signs on both sides of the equation
X=-8
Topic 16-1 number 13.Draw and label parallel lines XY and RS.Then draw and label TS so it is perpendicular to both XY and RS.Draw point Z on TS.
Envision Math 4th grade
Answers
Parallel lines are lines which are equidistant to each other long every point on both lines.
What is a perpendicular line?A line is said to be perpendicular if it crosses another line at exactly 90°. Hence, as depicted in the image attached, TZ is perpendicular to RS.
It is important to note that perpendicular lines always bisect one another and that the slopes of lines that are perpendicular are negative of each other and reciprocals.
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assume that the random variable x is normally distributed, with mean μ = 70 and standard deviation σ = 8. compute the probability p(x < 80).
Answers
The probability that a normally distributed random variable x, with a mean (μ) of 70 and a standard deviation (σ) of 8, is less than 80 is approximately 0.8413 or 84.13%.
To compute the probability p(x < 80), we need to standardize the value 80 using the z-score formula. The z-score (Z) is calculated as (x - μ) / σ, where x is the given value, μ is the mean, and σ is the standard deviation.
In this case, the z-score for x = 80 is (80 - 70) / 8 = 10 / 8 = 1.25. We then need to find the corresponding probability from the standard normal distribution table or use statistical software.
Looking up the z-score of 1.25 in the standard normal distribution table, we find that the corresponding probability is approximately 0.8944. This probability represents the area under the standard normal curve to the left of the z-score of 1.25.
However, since we are interested in the probability of x being less than 80, we need to subtract this probability from 1, as the area under the curve to the right of the z-score represents the complement of the desired probability. Thus, p(x < 80) = 1 - 0.8944 ≈ 0.1056.
Therefore, the probability that x is less than 80, given that x is normally distributed with a mean of 70 and a standard deviation of 8, is approximately 0.8413 or 84.13%.
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if l and m are parallel,which pair of angles are supplementary?
Answers
Answer:
Option (1)
Step-by-step explanation:
Angles 2 and 5 are supplementary by the same-side interior angles theorem.
The composite figure is made up of a rectangle and two pentagons. Find the area. 5 5 34 S 5 A. 129 sq. units O B. 122.4 sq. units C. 225 sq. units D. 140 sq. units
Answers
Answer:
Option D, 140 sq. units
Step-by-step explanation:
Area of the rectangle part, 11*5 = 55 sq. units
Area of the pentagon part (3.4*5)*5/2 = 42.5 sq. units
Total area,
55+2*42.5 sq. units (since there are two pentagons)
= 55+85 sq. units
= 140 sq. units
Please help me with this Geometry Question
Answers
The value of x from the given figure is 12 units.
What are similar triangles?Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.
From the given figure,
Consider ΔADC and ΔABC,
∠C=∠C (Reflex property)
AC=AC (Reflex property)
∠BAC=∠CDA=90°
By AA similarity, ΔADC ~ ΔABC
So, AC/BC = DC/AC
x/36 = 4/x
x²=36×4
x²=144
x=12 units
Therefore, the value of x from the given figure is 12 units.
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true or false considered multiple regression which is a sample at 36 observations for a given eggs and fitted why the 95% approximate prediction interval for individual why is wider than the corresponding approximate 95% confidence interval for the conditional mean a y
Answers
The statement "considered multiple regression which is a sample at 36 observations for a given eggs and fitted why the 95% approximate prediction interval for individual why is wider than the corresponding approximate 95% confidence interval for the conditional mean" is false.
Here we have given the statement and we need to identify whether this one is true or not.
As we all know that then Confidence interval is narrower than the prediction interval because Prediction intervals must account for both the uncertainty in estimating the population mean, plus the random variation of the individual values.
Therefore the prediction interval is always wider than a confidence interval.
And also here the prediction interval will not converge to a single value as the sample size increases.
Therefore, the statement is incorrect.
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Which ordered pair is a solution of the equation -3+5y=2x+3y ?
Answers
Answer: x = y + −3/2
Step-by-step explanation:
Let's solve for x.
−3+5y=2x+3y
Step 1: Flip the equation.
2x+3y=5y−3
Step 2: Add -3y to both sides.
2x+3y+−3y=5y−3+−3y
2x=2y−3
Step 3: Divide both sides by 2.
2x/2 = 2y - 3/2
ANSWER: x = y + -3/2
what is the image point (-2,10) after reflecting over the x axis and dilating by 1/2
Answers
By definition:
- Reflection is a transformation in which an object is flipped.
- Dilation is a transformation in which the shape of the object does not change, but its size does.
- The Pre-Image is the object before the transformation and the Image is the object transformated.
- The rule for a reflection over the x-axis is the following:
\((x,y)\rightarrow\mleft(x,-y\mright)\)- The rule of a dilation centered at the origin, with the scale factor
\(\frac{1}{2}\)is the following:
\((x,y)\rightarrow(\frac{1}{2}x,\frac{1}{2}y)\)Knowing the above, you can conclude that rule for the transformation given in the exercise, is:
\((x,y)\rightarrow(\frac{1}{2}x,-\frac{1}{2}y)\)Knowing that the Pre-Image is:
\(\mleft(-2,10\mright)\)You get that the Image of that point is:
\(\begin{gathered} \mleft(-2,10\mright)\rightarrow(\frac{1}{2}(-2),-\frac{1}{2}(10)) \\ \\ (-2,10)\rightarrow(-1,-5) \end{gathered}\)The answer is:
\((-1,-5)\)Given: 5, 9, 13, 17
1. What is the common difference, d, of the sequence.
2. Write the formula needed to get the general term.
3. Find the 25th term.
Answers
Step-by-step explanation:
1).To find the common difference of the sequence subtract the previous term from the next term
That's
d = 9 - 5 = 4 or
d = 13 - 9 = 4 or
d = 17 - 13 = 4
Since it's the same for any of the terms chosen
The common difference = 4
2).The sequence above is an arithmetic sequence
For an nth term in an arithmetic sequence
A(n) = a + ( n - 1)d
where a is the first term
n is the number of terms
d is the common difference
From the question
a = 5
d = 4
We have
A(n) = 5 + ( n - 1)4
= 5 + 4n - 4
= 4n + 5 - 4
We have the answer as
A(n) = 4n + 13).To find the 25th term substitute the value of n that's 25 into the formula
We have
A(25) = 4(25) + 1
= 100 + 1
We have the final answer as
A(25) = 101Hope this helps you
The probability of an outcome being more than three standard deviations away from the mean in a normal distribution is approximately ___ percent.
Answers
The probability in a normal distribution is approximately 90% percent.
According to the statement
we have given that the
Probability of the more three standard deviations and we have to find the percentage in a normal distribution.
We know that the
A normal distribution is a type of continuous probability distribution for a real-valued random variable.
So, In the presence of a more than three standard deviations the normal distribution is about 95%.
Because in the normal distribution is 95% due to the empirical rule.
The empirical rule, also referred to as the three-sigma rule or 68-95-99.7 rule, is a statistical rule which states that for a normal distribution.
So, The probability in a normal distribution is approximately 90% percent.
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If the equation x² - (3k + 1)x + (8k+ 1) = 0
has two equal roots, find the possible values
of k.
Answers
Answer:
hello : here is an solution
Step-by-step explanation:
HELP SOON PLEASE!!!!!!!
Answers
Answer:
Right triangles:
5) 0.75, 1, 1.25
6) 18, 80,82
Not right triangles:
1) 5,5,√50
2) 6.5, 3.2, 7.8
3) √2, √3, 4
4) 12, 13, 20
Step-by-step explanation:
Right triangles: (for right triangles the Pythagorean theorem is true)
6) 18² + 80² = 82²
6724=6724
5) 0.75² + 1² = 1.25²
1.5625 =1.5625
Not right triangles:
1) 5² + 5² ≠(√50)²
1250≠ 50
2) 6.5² + 3.2² ≠ 7.8²
52.49≠60.84
3) (√2)² +(√3)² ≠ 4²
5≠ 16
4) 12² + 13² ≠ 20²
313 ≠ 400
Answer:
5, √50, 5
18, 80, 82
0.75, 1, 1.25
Step-by-step explanation:
5, √50, 5 ⇒ √5²+5²= √50
18, 80, 82 ⇒ √18²+80²=82
0.75, 1, 1.25 ⇒ √0.75² + 1² = 1.25
All the others are not satisfying √a²+b²=c condition
In the last several weeks, 67 days saw rain and 23 days saw high winds. In that same time period, 13 days saw both rain and high winds. How many days saw either rain or high winds
Answers
The number of days that had either rain or high winds for the considered case is 77
What is the addition rule of size for two subsets?For two subsets A and B of the universal set U, we have:
\(n(A \cup B) = n(A) + n(B) - n(A \cap B)\)
Assume that:
A and B be the subsets of what happens on each day.
Then in the days of last several weeks , we take:
A = set of days which had rainB = set of days which had high winds,then, as per the data given, we get:
n(A) = number of days seeing rain = 67n(B) = number of days seeing high winds = 23 n(A ∩B) = number of days seeing both rain and high winds = 13Thus, we get:
\(n(A \cup B) = n(A) + n(B) - n(A \cap B)\\n(A \cup B) = 67 + 23 - 13 = 77\)
Thus, n(A ∪B) = number of days seeing either rain or high winds = 77
Thus, the number of days that had either rain or high winds for the considered case is 77
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Divide 78 in the ratio 8 : 1 : 4
Answers
Answer:
78×8/13=48
78×1/13 =6
78×4/13=24
8:1:4
48:6:24
100 POINTS AND BRAINLIEST
What is the rule for the function that is graphed?
y = 2 x + 2
y = 3 x + 2
y = 2 x
y = x – 2
Answers
Answer:
Y=2x+2
and tbh it's simple for most people
Step-by-step explanation:
Hope it helps
Answer:
y = 2 x + 2
Step-by-step explanation:
I did the assignment, so I hope it helps (A like helps me if you have time)
One thousand families were surveyed to
determine the distribution of families by size. The
results follow.
Family Size 2
3
4
5 6 7 8
Frequency
350
200 245 125
66
10
To the nearest percent, the probability that a given
family has 3 people is [? ]%.
Answers
Answer:
Step-by-step explanation:
probability of an event: number of events that satisfy the criteria/ total number of events
number of events that satisfy the criteria (in this case the number of families with three people)= 200
total number of events= 1000
200/1000= 20%
a company ships new basketballs in boxes that fix up to 14 basketballs. How many boxes are needed for an order of 202 basketballs?
Answers
Answer:
about 14 or 15 boxes
Step-by-step explanation:
Answer: at least 15 boxes to fit them all
Step-by-step explanation:
Given the equation y = 3(2)x
Answers
Regarding the exponential function y = 3(2)^x, we have that:
We know that the graph has a y-intercept at (0,3), because the a-value is of 3.We know that the graph models exponential growth, because the b-value is of 2.The numeric value of the function at x = 3 is given as follows: 24.What is the exponential function?An exponential function is defined as follows:
y = ab^(x/n).
In which the parameters are defined as follows:
a is the initial value.b is the rate of change.n is the time needed for the rate of change.The function for this problem is given as follows:
y = 3(2)^x.
Hence the parameters are given as follows:
a = 3 -> y-intercept at (0,3).b = 2 > 1, hence exponential growth.At x = 3, the numeric value of the function is obtained as follows:
y = 3 x 2^3
y = 3 x 8
y = 24.
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what is the value of the 5th term
Answers
First term (a1) = -7
Second term (a2) = -2
Common difference: a2 - a1 = -2-(-7) = 5
Hence, Fifth term = a1 + 4d = -7 + 4(5) = 13
I really need help with these two, I'd really appreciate an answer as soon as possible. (Questions in picture below)
Answers
Answer:
2.$9.25 3.11
Step-by-step explanation:
For the first question virtually you could just go through each one and determine how they would fit. But what I did for both is determine the change in the first column (5 in #2 3 in #3) Then subtract the second change from the first in the second column (185-138.75 and 132-99) you come up with a rate of change like (46.25 and 33) then using that number dividing by the change from the first column (46.25/5=9.25 and 33/3=11) And to check applying all of that to the other changes.
7. Drag the fractions in order from least to greatest value.7/4, 4/8, 7/8, 3/4
Answers
7/4 can be expressed as
\(\frac{7}{4}=\frac{7}{4}\cdot\frac{2}{2}=\frac{7\cdot2}{4\cdot2}=\frac{14}{8}\)3/4 can be expressed as
\(\frac{3}{4}=\frac{3}{4}\cdot\frac{2}{2}=\frac{3\cdot2}{4\cdot2}=\frac{6}{8}\)Then, the fractions to compare are:
14/8, 4/8, 7/8, 6/8
We can order them only considering the numerators. from least to greatest value the ordered list is:
4/8, 6/8, 7/8, 14/8
or
4/8, 3/4, 7/8, 7/4
Raf wants to know the height of a wall. He places a mirror on the hround between him and the base of the wall, so he can see the top of the wall in the mirror. the mirror is 6 ft from Raf and 21 ft grom the base of the wall. Raf is 4 ft. The wall is ___ ft high.
Answers
TV = 6ft
VS = 21
___________________
Ratio
wall/ Raf = 21/ 6
wall/ 4= 21/ 6
wall = 21*4/6 = 14
The wall is 14 ft high.
Eren constructed a rectangular paper box with a volume of 180in. His box has a length of x inches, a width of 5 inches less than its length, and a height 2 inches more than its length. What is the length of the box?
A. 7.52 in
B. 9.52 in
C. 5 in
D. 2.52 in
Answers
We know that the volume of a rectangular box is given by length times width times height. So, we have:
V = x * (x - 5) * (x + 2) = 180
Briefly defined, what is rectangle?
A rectangle is a sort of quadrilateral with parallel sides that are equal to one another and four vertices that are all 90 degrees apart. Because of this, it is also known as an equiangular quadrilateral. Because the opposite sides of a rectangle are equal and parallel, it can also be referred to as a parallelogram.
We can use this equation to find the length of the box.
Expanding the equation:
x^3 - 5x^2 + 2x = 180
Solving for x using a calculator or an algebraic equation solver we can find that x = 9.52
So the length of the box is 9.52 inches.
The answer is B. 9.52 in
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Please help ill mark brainliest please, please, please
Answers
Answer: I think its (B) Reflection over the x-axis
Step-by-step explanation: Hope this helps!
Answer:
reflection over the x axis
Step-by-step explanation:
because the line that there reflecting over is the x axis line thats left to right, not y axis which is up and down
hope that helps, have a great day :>
Little Lucas invented his own way to write down negative numbers before he learned the usual way with the minus sign in front. Counting backwards, he would write:
3, 2, 1, 0, 00, 000, 0000,... What is the result of 000 + 0000 in his notation?
Answers
Answer:
000 + 0000 = -2 + (-3) = -5
Step-by-step explanation:
3, 2, 1, 0, 00, 000, 0000, .....
So 00 = -1, 000 = -2, and 0000 = -3, and it follows that 000 + 0000 = -2 + (-3) = -5.
Soledad buys 5 ounces of frozen yogurt for $2.25. What is the unit price of the frozen yogurt in dollars per ounce?
Answers
Answer:
0.45
Step-by-step explanation:
You divided 2.25 by 5
hence, you divide 2.25 by 5.
you are making two triangular flags for a project and need the flags to be the same shape and size. triangle xyz and triangel x'y'z' are flags you have drawn are the flags the same shape and size explain
Answers
To determine if triangle XYZ and triangle X'Y'Z' are the same shape and size, we need to compare their corresponding angles and side lengths.
Angle Comparison: Check if the corresponding angles in both triangles are equal. If all three angles of triangle XYZ are congruent to the corresponding angles of triangle X'Y'Z', then they have the same shape. However, this does not guarantee they have the same size.
Side Length Comparison: Compare the lengths of the corresponding sides. If all three sides of triangle XYZ are equal in length to the corresponding sides of triangle X'Y'Z', then they have the same size.
If both the angles and side lengths are equal for the corresponding parts of the triangles, then triangle XYZ and triangle X'Y'Z' are congruent, meaning they are the same shape and size.
It's important to note that without specific measurements or additional information about the triangles, it is not possible to definitively determine if they are the same shape and size.
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3 Ingrid earns $200 each week in salary plus a 20% commission (bonus) on her total sales. If Ingrid wants to earn a total of $400 for the week, which of these equations could best represent this situation?
Answers
Answer:
400 = 200 + 0.20x
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
the amount she gets paid is 200 and that will never change. the 20% commision will always change depending on her sales so we can mark that as x. so far we have 200+20x. We want 400 dollars and that will be the total. That being said, it is 400=200+20x