Answers
VII) (-i)^19 = -i. Option C
VIII) The imaginary part of i/1 + i = 1/2. Option C
IX) The modulus of 3 - 4i is 5. Option C
X) For Z = a + ib, sin θ = a/b. Option A
XI) There are 3 elements in the set. Option A
What are the imaginary numbers?We know that the imaginary numbers has to do with the numbers that we can be not be able to find on the number line. These are not real numbers but they are very important in the process of computation. There are two parts of a complex number. We have the imaginary part and we have the real part.
It is sometimes possible that we can be able to represent the complex number by the use of an Argand diagram which shows the complex number in the polar form.
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Related Questions
Mrs. Bowlin organized the markers into sets. If there were 9 markers
in each set, how many sets of markers did Mrs. Bowlin create? ANSWER QUICKLY
Answers
Based on the information provided, it can be concluded Mrs. Bowlin created a total of 63 sets each set with 9 markers.
What mathematical operation should be used to find the number of sets?The recommended mathematical operation in this case is division as the focus of this problem is distributing a total of markets or grouping them in sets of 9 markets.
What is the total number of sets Mrs. Bowlin created?First, let's identify the information that we already know:
Total number of markers: 567 markers
Number of markers in each set: 9 markers per set
567 / 9 = 63This means the total number of sets that Mrs. Bowlin created were 63 sets. You can verify this answer by multiplying the number of sets and the markets per set.
63 x 9 = 567Note: This question is incomplete; here is the complete question:
Mrs. Bowlin organized the markers into sets. If there were 9 markersin each set, how many sets of markers did Mrs. Bowlin create? there are 567 markers
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Point z is the circumcenter of δlmn. point z is the circumcenter of triangle l m n. lines are drawn from each point of the triangle to point z. lines are drawn from point z to each side to form right angles and line segments z a, z b, and z c. which must be true?
Answers
The true about all of these statements are:
The lines drawn from each point of the triangle (L, M, N) to point Z will be perpendicular to each side of the triangle. The distance from each vertex of the triangle (L, M, N) to the circumcenter Z will be equal to the distance from the circumcenter to the midpoint of the opposite side of the triangle. The lengths of the segments ZA, ZB, and ZC will be congruent. The segments ZA, ZB, and ZC are the perpendiculars from the circumcenter to each side of the triangle. The circumcenter Z lies on the intersection of the perpendicular bisectors of the sides of the triangle.All three angle bisectors of triangle L,M,N intersect at circumcenter Z.THE CIRCUMCENTER OF TRIANGLEThe lines drawn from each point of the triangle (L, M, N) to point Z will be perpendicular to each side of the triangle. This is because the circumcenter of a triangle is the point that is equidistant from the three vertices of the triangle. When the distance from a point (in this case, the circumcenter Z) to each vertex of the triangle is the same, the line connecting the point to each vertex is perpendicular to the line containing the side opposite the vertex.The distance from each vertex of the triangle (L, M, N) to the circumcenter Z will be equal to the distance from the circumcenter to the midpoint of the opposite side of the triangle. By the definition of circumcenter, the distance from circumcenter to the midpoint of the opposite side is the same as radius of the circumcircle. and it is also the same distance from each vertex of the triangle to the center.The lengths of the segments ZA, ZB, and ZC will be congruent. The segments ZA, ZB, and ZC are the perpendiculars from the circumcenter to each side of the triangle. Since the circumcenter is equidistant from each vertex of the triangle, the lengths of these segments will be the same.The circumcenter Z lies on the intersection of the perpendicular bisectors of the sides of the triangle. The circumcenter is the center of the circumcircle, which is the circle that passes through all three vertices of a triangle. This center is equidistant from the three vertices of the triangle, and it lies on the intersection of the perpendicular bisectors of the sides of the triangle. The perpendicular bisectors are lines that pass through the midpoint of a side of a triangle and are perpendicular to that side. So, the circumcenter is located at the intersection point of the three perpendicular bisectors of a triangle, which is also the point equidistant from all three vertices of the triangle.All three angle bisectors of triangle L,M,N intersect at circumcenter Z. It's important to notice that in this statement is referring to the incenter and not the circumcenter, and as such they are different properties and have different properties, location and constructions.Learn more about circumcenter here:
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For 2 servings of trail mix, a recipe calls for 1/2 cup of peanuts, 3/4 of pretzels and 3/8 cup of raisins. How many total cups are in this recipe?
Answers
Answer:
1.625 cups
Step-by-step explanation:
Meg is a veterinarian. she found that 33% of the nine dogs she saw this week were boxers. Steve is also a veterinarian. he found that nine of the 27 dogs he saw this week were boxers. does each person need to find the part the whole or the percent? 
Answers
Meg needs to find the part And Steve needs to find the percent.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given that Meg is a veterinarian she found that 33% of the nine dogs she saw this week were boxers.
The whole is the entire number of dogs seen is 9dogs.
The percent is given as 33%.
Hence, she needs to find the part: this is how many (what part) of the 9 dogs she saw were boxers.
9×33%=3 dogs are boxers
This is 3 dogs of 9 were boxers.
Steve already knows the part 9 of the 27 dogs were boxers
Then he needs to find the percent, he can do using the next operation:
Percent = (part / whole) × 100 = (9/27)×100
= 33%
Hence, Meg needs to find the part And Steve needs to find the percent.
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if event a and event b cannot occur at the same time, then events a and b are said to be : (a) mutually exclusive
(b) statistically independent
(c) collectively exhaustive
(d) none of the above
Answers
The correct option is option a) mutually exclusive.
Mutually exclusive events are events that cannot occur simultaneously. They are also referred to as disjoint or incompatible events. In probability theory and statistics, mutually exclusive events have a probability of zero occurring together.
For example, in a coin flip, getting "heads" and getting "tails" are mutually exclusive events because a coin cannot land on both "heads" and "tails" at the same time.
Another example would be the events "rolling a six on a dice" and "rolling an even number on a dice", these events are mutually exclusive because a dice can't land on a six and an even number at the same time.
In general, mutually exclusive events have no intersection, meaning that they don't share any outcomes.
Therefore, The correct option is option a) mutually exclusive.
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Mackenzie borrowed some money from her
friend in order to help buy a new video game
system. Mackenzie agreed to pay the friend back
some amount every week until her loan was paid
off. Let L represent the amount Mackenzie owes
her friend after t weeks. The table below has
select values showing the linear relationship
between t and L. Determine how many weeks
when the amount of money Mackenzie owed her
friend was $100.
Answers
The equation that represent the amount Mackenzie owes her friend after t weeks is L = -6t + 90
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables. An equation can either be linear, quadratic, cubic and so on
The slope intercept form of a linear equation is:
y = mx + b
where m is the rate of change and b is the y intercept
Let L represent the amount Mackenzie owes her friend after t weeks
From the table, using the points (1, 84) and (3, 72):
[tex]L-L_1=\frac{L_2-L_1}{t_2-t_1} (t-t_1)\\\\substituting:\\\\L-84=\frac{72-84}{3-1} (t-1)\\\\L= -6t+ 90l[/tex]
The equation is y = -6x + 90
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what is x+y=-2 in finding linear equations
Answers
The expression x + y = -2 is a Linear equation. Note that A linear equation is one whose solutions, when displayed on a graph, create a straight line. A linear equation is generally expressed as ax + by = c, where a, b, and c are constants and x and y are variables.
How can the above expression be re-written into the standard linear equation format?To rewrite the above expression, we must make "y" the subject of the expression after the similitude of y = mx + b Where m is the slope and b is the constant or intercept.
Hence the expression standardized is:
y = -x -2.
In the above case,
m = -1
b = -2.
In order to find the solution to the expression y = -x - 2, one would need to set x and y to any real values and find the pair of x and y that is consistent with the equation.
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Which statements are true of the given function?
Check all that apply.
A) f[-1/2] = -2
B) f(0) = 3/2
C) f(1) = -1
D) f(2) = 1
E) f(4) = 7/2
(B and E are the answers)
Answers
Answer:
Option B (3/2) and E (7/2)
Step-by-step explanation:
Given function [tex]f(x) = \frac{x}{2} + \frac{3}{2} = \frac{(x + 3)}{2}[/tex]
so,
(A) [tex]f(\frac{-1}{2}) = \frac{\frac{-1}{2}+3 }{2} = \frac{\frac{5}{2} }{2} = \frac{5}{4}[/tex] (Incorrect)
(B) [tex]f(\frac{-1}{2}) = \frac{0+3 }{2} = \frac{3}{2}[/tex] (Correct)
(C) [tex]f(\frac{-1}{2}) = \frac{1+3 }{2} = \frac{4}{2} = 2[/tex] (Incorrect)
(D) [tex]f(\frac{-1}{2}) = \frac{2+3 }{2} = \frac{5}{2}[/tex] (Incorrect)
(E) [tex]f(\frac{-1}{2}) = \frac{4+3 }{2} = \frac{7}{2}[/tex] (Correct)
The partially filled contingency table gives the frequencies of the data on age (in years) and sex from the residents of a retirement home. 60-69 70-79 Over 79 Total Male 1 9 5 Female 19 2 4 Total What is the probability that a resident is female ? Round your answer to three decimal places if necessary. a. 0.635 c. 0.62 b. 0.629 d. 0.625
Answers
The probability that a resident is female is 0.625.
Probability is a method for determining how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is.
We know that the probability of a function is the ratio of favorable cases to the total number of cases possible.
Given that,
Total number of females = 19+2+4 =25
total number of males=1+9+5 = 15
The probability that a resident is female is the Total number of females / total number of people
Hence total number of people = 25+15 = 40
So, Probability = 25/40 = 0.625
Therefore, the probability that a resident is female is 0.625.
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The probability that a resident is female = 0.625
The correct answer is an option (d)
The complete contingency table would be:
60-69 70-79 Over 79 Total
Male 1 9 5 15
Female 19 2 4 25
Total 20 11 9 40
Here, sample space i.e., the total number of residents = 40
So, n(S) = 40
Let event A: a resident is female
From the contigency table, the number of favourable outcomes of the event A are 25
So, n(A) = 25
Using the definition of probability, the probability of event A would be,
p(A) = n(A)/n(S)
p(A) = 25/40
p(A) = 0.625
Therefore, the required probability is 0.625
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Which of the following statements is true?
A. point E is the midpoint of segment AC
B. ACE is similar to ADCB
C. the segment BD bisects segment EC
D. the segment BD is congruent to segment BC
Answers
The statement true is the segment BD bisects segment EC.
What is bisects segment?It means to divide anything into two congruent portions when you bisect a segment or an angle. A line segment's midway is where a line segment's bisector will fall. A line segment's perpendicular bisector is perpendicular to the line segment and passes through the line segment's midpoint. To split into two equal portions or halves is what is meant by the word "bisector," not just into two. A point, line, ray, or a segment of a line that bisects another segment of a line is therefore referred to as a segment bisector. The midway of the lines is traversed by bisectors, which are lines that divide objects exactly in half. Looking at the graph below, you can see that lines are bisectors if they cross through the middle.To learn more about bisects segment refer to:
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What is the value of m?
10
30
70
150
Answers
what is the value of m
10 (the answer)
30
70
150
Select the locations on the number line to plot the points -17/8 and 13/8 
Answers
The location of point - 17/8 and 13/8 is shown in figure.
What is Number line?Number line is a horizontal line where numbers are marked at equal intervals one after another form smaller to greater.
Given that;
The number line is shown in figure.
Two points are - 17/8 and 13/8.
Now,
Since, Two points are - 17/8 and 13/8.
⇒ - 17/8 = - 2.125
= - 2 1/8
⇒ 13/8 = 1.625
= 1 5/8
Thus, The location of point A = - 17/8
And, The location of point B = 13/8
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What percentage of the shape is pink?
Write your answer using a percent sign (%).
Answers
Answer:
Step-by-step explanation:
It is 20% because there is 5 squares. So we need to make this a fraction. So the fraction would be 1/5. So we then have to find a multiple for 1/5 because it is out of 100. So 20x5=100. So we have to multiply the top and the bottom part of the fraction by 20. So 5x20=100 and 1x20=100. So then we get 20/100. So the top number is your percent. So 20% is your answer. Good luck.
Your quality ratings for this week are 88, 93, 70, 62 and 100 My average is
Answers
My average from the given data sets is 82.6
What is the average mean of a data set?The average or mean of a data set is a measure of the data's central tendency. It is computed by the summation of all of the values in the dataset and then dividing the sum by the total number of values of the dataset.
The average or the mean of a data set is a good representation of the data as a whole because it takes into consideration all of the values in the data set.
From the given information:
My average = (88 + 93 + 70 + 62 + 100)/5
My average = 413/5
My average is 82.6
Therefore, we can conclude that from the quality ratings, the average mean is 82.6
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2
In Prodigy, Luigi's inventory weighs 3 grams. He is collecting old
2
4
socks, each sock weighs - grams.
3
Let the total weight of his inventory be represented by i.
Let the number of old socks collected be represented by s.
An equation that represents this scenario is:
4
i = −(s) + 3
3
~IN
2
2
What is the total weight of his inventory if he
collects 27 socks?
Answers
138 is the total weight of his inventory if he collects 27 socks.
What is the total weight ?Luigi's inventory in Prodigy weights 18/6 grams. Each sock he is gathering weighs 20/4 grams.
Let I indicate the whole weight of his stock.
Let s indicate the quantity of used socks that have been gathered.
This situation is represented by the equation I = 20 / 4 * s + 18 / 6.
when s = 27 :
= 20 / 4 s + 18 / 6 = 5 s + 3
therefore i = 5 * 27 + 3 = 138 {Substitute).
138 is the total weight of his inventory if he collects 27 socks.
The complete question is In Prodigy, Luigi's inventory weighs 18/6 grams. He is collecting old socks, each sock weighs 20/4 grams.
Let the total weight of his inventory be represented by i.
Let the number of old socks collected be represented by s.
An equation that represents this scenario is:
i = 20/4 * s + 18/6
What is the total weight of his inventory if he collects 27 socks?
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if three points are coplanar, they are also collinear
Answers
If three points are coplanar, they are also collinear is referred to as a false statement.
What are Collinear points?This is referred to as the points that lie on the same straight line or in a single line.
Coplanar points on the other hand are three or more points which all lie in the same plane. Any three points not on the same line, there is exactly one plane, but three points on the same line could be in separate planes which is why false was chosen as the correct choice.
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Use the distributive property with factoring to find the equivalent expression.
48d + 96g = (d + 2g)
Answers
Answer:
48d + 96g = 48(d + 2g)
Step-by-step explanation:
Between the numbers 48 and 96, the highest common factor(HCF) of these two numbers is 48 as 96/48 is exactly 2.
48/48 = 1
96/48 = 2
48d + 96g = 48(d + 2g)
What is a rectangle circle called?
Answers
A rectangle circle is not a real shape; it is a figure of speech.
The Impossibility of a Rectangle CircleA rectangle-circle is an expression used to describe something that is impossible or illogical. It is used to emphasize the absurdity of something that could never exist in reality.
For example, someone might say that it's like trying to “fit a square peg into a rectangle circle.”
This expression conveys the idea that the task is impossible and that it is foolish to even attempt it. It is an example of a figure of speech used to make a point, rather than to describe a real shape.
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5. Which of the following triangle side lengths will form a triangle?
• 6 cm, 7 cm, 13 cm
• 2 cm, 5 cm, 6 cm
• 3 cm, 6 cm, 10 cm
•cm, 4 cm, 7 cm
Answers
Step by step
The sides of a triangle rule says that the sum of the lengths of any two sides of a triangle has to be greater than the length of the third side.
6+ 7 = 13 not greater than 13 ❌
2 + 5 = 7 is greater than 6 ✅
3 + 6 = 9 not greater than 10 ❌
?? 1 Cm + 4 cm = 5 cm not greater than 7 ❌
if lim x→0 f(x) = [infinity] and lim x→0 g(x) = [infinity], then lim x→0 [f(x) − g(x)] = 0. true or false
Answers
If lim x→0 f(x) = [infinity] and lim x→0 g(x) = [infinity], then lim x→0 [f(x) − g(x)] , this statement is False.
What is limit ?
limit, mathematical concept based on the idea of closeness, used primarily to assign values to certain functions at points where no values are defined, in such a way as to be consistent with nearby values.
If limx→0 f(x) = ∞ and limx→0 g(x) = ∞,
then limx→0 [f(x) - g(x)] = 0, is false.
limx→0 [f(x) - g(x)]
= limx→0 f(x) - limx→0 g(x)
= ∞ - ∞
This is in-determinant.
Since the numerators are different, 4/0 and 8/0 cannot be equal to the same infinity,We have different types of in- determinant forms: 0/0, ∞/∞, 1∞ , 0⁰, etc,
If lim x→0 f(x) = [infinity] and lim x→0 g(x) = [infinity], then lim x→0 [f(x) − g(x)] ,this statement is False.
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The monthly output of a certain product is Qx) - 1700x5/2 where is the capital investment in millions of dollars. Find d/dx, which can be used to estimate the effect on the output if an additional capital investment of $1 million is made dQ/dx-
Answers
By applying The Power Rule for Derivatives, it concluded that the value of dQ/dx is 4250[tex]x^{\frac{3}{2} }[/tex]
The Power Rule for Derivatives is a method of differentiation that is used when a mathematical expression with an exponent needs to be differentiated. The rule is:
d(xⁿ) / dx = n(x)ⁿ⁻¹
It is given that the monthly output of a certain product is defined by the function:
Q(x) = 1700[tex]x^{\frac{5}{2} }[/tex]
where x denotes the capital investment in millions of dollars.
Now we want to determine the derivative of the giving function:
d(xⁿ) / dx = n(x)ⁿ⁻¹
dQ / dx = d (1700[tex]x^{\frac{5}{2} }[/tex])
= [tex]\frac{5}{2} (1700x)^{\frac{5}{2}-1 }[/tex]
= 4250[tex]x^{\frac{3}{2} }[/tex]
Thus, the value of dQ/dx is 4250[tex]x^{\frac{3}{2} }[/tex]
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What is the length of the midsegment of a trapezoid whose vertices are E(-7, 6), F(-2, 5), G(-2, 2), and H(-7, -4)?
Answers
The length of the midsegment of the trapezoid E(-7, 6), F(-2, 5), G(-2, 2), and H(-7, -4) found using the formula for finding the distance between two points on the coordinate plane is 6.5 units long
What is the formula for the distance between points (x₁, y₁), and (x₂, y₂), on the coordinate plane?The formula for the distance d between two points on the coordinate plane is; [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
The midsegment of a trapezoid is the segment that joins or extends between the midpoints of the sides of the trapezoid that are not parallel.
The parallel sides are the sides that have the same slope;
Slope of the side EF = (5 - 6)/(-2 - (-7)) = -0.2
Slope of the side FG = (5 - 2)/(-2 - (-2)) = Undefined
Slope of the side GH = (-4 - 2)/(-7 - (-2)) = 1.2
Slope of the side EH = (-4 - 6)/(-7 - (-7)) = Undefined
The non parallel sides are EF and GH
The midpoint of EF = ((-7 + (-2))/2, (6 + 5)/2) = (-4.5, 5.5)
The midpoint of GH = ((-7 + (-2))/2, (2 + (-4))/2) = (-4.5, -1)
The length of the mid segment is therefore;
d = √((-4.5 - (-4.5))² + (5.5 - (-1))²) = 6.5
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Which function has an inverse that is also a function?
Og(x)=2x-3
Ok(x) = -9x²
Of(x) = x + 21
Ow(x) = -20
Answers
The function that has an inverse and is also a function is g(x) = 2x - 3.
Option A is the correct answer.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
g(x) = 2x - 3
The inverse of g(x).
y = 2x - 3
y + 3 = 2x
x = (y + 3)/2
This is also a function.
Thus,
The function g(x) = 2x - 3 has an inverse and is also a function.
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Answer:
a on edge
Step-by-step explanation:
got a 100 on unit test np good luck
A juice stand sells two types of fresh juice in 12 oz cups, the Refresher and the Super-Duper. The Refresher is made from 3 oranges, 2 apples and a slice of ginger.
The Super Duper is made from one slice of watermelon, 3 apples and one orange. The owners of the juice stand have 50 oranges, 40 apples, 10 slices of watermelon
and 15 slices of ginger. Let x denote the number of Refreshers they make and let y denote the number of Super-Dupers they make. Which would be correct
constraints for the oranges
Answers
The correct constraints for the oranges would be 3x + y <= 50.
What is the linear equality in two variables?
Linear equality in two variables is an equation that uses a linear function to describe a relationship between two variables (x and y). A linear function is of the form:
ax + by = c
Where a, b, and c are constants, and x and y are the variables.
The correct constraint for the oranges used in the Refresher and Super-Duper juice would be:
3x + y <= 50
This represents the maximum number of oranges that can be used, given the number of Refreshers (x) and Super-Dupers (y) that the juice stand is making. It says that the total number of oranges used in the Refreshers (3 oranges per Refresher) plus the total number of oranges used in the Super-Dupers (1 orange per Super-Duper) must be less than or equal to the total number of oranges the juice stand has on hand (50 oranges).
Hence, the correct constraints for the oranges would be 3x + y <= 50.
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Can someone answer this question really quick
Simplify the expression by combining like terms.
43a−12b+13a+52b
Enter your answer as an expression, like this: 42x+53
Answers
Answer:
[tex]56a+40b[/tex]
Step-by-step explanation:
[tex]43a+13a-12b+52b=56a+40b[/tex]
(-5, -3.2, -1, 0, . √2, 6, 11} How many integers are there in the list above?
Answers
Answer:
There are three integers are there in the above list
Coby sells apples and bananas at his fruit store. He charges $6 for a pound of bananas, and $8 for a pound of apples. If a customer buys a total of 13 pounds of fruit and is charged $92, how many pounds of bananas did he buy? Also, how many pounds of apples did he get?
Answers
Answer:
6 bunches of bananas7 pounds of applesStep-by-step explanation:
We have to assume that a "piece of fruit" is either a bunch of bananas or a pound of apples. Without that assumption, there is insufficient information to work the problem.
Let B represent the number of bunches of bananas. Then 13-B is the number of pounds of apples. The total cost is ...
6B +8(13 -B) = 92
-2B + 104 = 92 . . . . . eliminate parentheses
B = -12/-2 = 6 . . . . . . subtract 104, then divide by the coefficient of B
13-B = 7 . . . . . . . . . . . the number of pounds of apples
The customer bought 6 bunches of bananas and 7 pounds of apples.
Hoped This Helped!
Donna is running around a track. It takes her 3 minutes to run 1/4 of a lap. What is her unit rate
Answers
Donna's unit rate (which is equivalent to her speed, in this case) is:
U = 1/12 laps per minute.
What is Donna's unit rate?
The unit rate is defined as the quotient between two quantities (in this case will be distance over time).
We know that Donna runs 1/4 of a lap in 3 minutes, then the unit rate (it would be the distance that she runs in one minute) is given by the quotient:
U = (1/4 laps)/(3 minutes)
U = 1/(4*3) laps per minute
U = 1/12 laps per minute
This means that Donna does 1/12 of a lap in each minute that she runs.
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Which method is used for fraction?
Answers
Answer:
You can divide fractions in one of two ways: the cross multiplication method or the inverse multiplication method.
Step-by-step explanation:
PLS HELP RN PLSSS
I NEED THIS DONE BY RN
Answers
Answer: It has to be 61 feet because you have to convert 20 yards to feet. It will 10980 dollars. And the area is 5490
Step-by-step explanation:
