The rectangular coordinate form of a complex number is represented by the formula z=a+bi. The real axis is the horizontal one, and the imaginary axis is the vertical one. In terms of r and, where r is the vector's length and is the angle it makes with the real axis, we determine the real and complex components.
Rectangular form;-
Rectangular form, on the other hand, is where a complex number is denoted by its respective horizontal and vertical components. In essence, the angled vector is taken to be the hypotenuse of a right triangle, described by the lengths of the adjacent and opposite sides.
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If f(x) = 2² +3, what interval best represents the range of this function?
Range of f(x)=[3,∞)
What does a function's range refer to?The range of a function in mathematics can refer to one of two ideas that are connected in some way:
1.Codomain for the function
2.an illustration of the action
Given two sets X and Y, a binary relation f between them is a (complete) function (from X to Y) if and only if there is precisely one y in Y such that f connects x and y. The terms "domain" and "codomain" of f, respectively, refer to the sets X and Y. The subset of Y made up only of those elements y of Y such that there is at least one x in X with f(x) = y is thus known as the image of f.
Given, f(x)= x²+3
Here x∈ R
x²+3≥3
Therefore, Range of f(x)=[3,∞)
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state the slope m, of the linear graph
Answer:
m=2
Step-by-step explanation:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex](x_1,y_1) = (-3,-3)\\(x_2,y_2) = (3,9)\\[/tex]
[tex]m=\frac{[9-(-3)]}{[3-(-3)]}\\m=\frac{9+3}{3+3}\\m=\frac{12}{6}\\m=2[/tex]
help meeeeeeeeeeee pleaseee rnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The total amount of the investment after 5 years is $15095
How to determine the total amount in five years?From the question, we have the following parameters:
Principal, P = $13000Rate, R = 3%Duration, t = 5 yearsNumber of times, n = 4, i.e. compounded quarterlyAlso from the question, the formula to determine the total amount is given as
A = P(1 + r/n)^nt
Where the values of the variables have been stated above
Solving further, we replace the variables with their values in the above equation
So, we have the following representation
A = 13000 * (1 + 3%/4)^(5*4)
Evaluate the expressions in the brackets
A = 13000 * (1.0075)^(20)
Evaluate the product expression
A = 15095
Hence, the value of the amount after 5 years is $15095
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help meeeeeeeeeeee pleaseee rnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
3 3 67 9 43
Step-by-step explanation:
when an auditor uses monetary-unit sampling to examine the total value of invoices, each invoice group of answer choices has an equal probability of being selected. can be represented by no more than one monetary unit. has an unknown probability of being selected. has a probability proportional to its monetary value of being selected.
When an auditor uses monetary-unit sampling to examine the total value of invoices, each invoice has a probability proportional to its monetary value of being selected.
Monetary unit sampling (MUS) refers to a statistical sampling method utilized to determine if the account balances or monetary amounts in a population contain any misstatements in an account of transaction. Auditors use monetary unit sampling, which is also known as probability-proportional-to-size sampling or dollar-unit sampling, to establish the accuracy of financial accounts. With monetary unit sampling, each dollar in a transaction is a separate sampling unit. When an auditor uses monetary-unit sampling to examine the total value of invoices, each invoice has a probability proportional to its monetary value of being selected.
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Can someone please help me with this Math?? They're all the same but for the directions.
(Attachment down below)
Nam the following or point
Given:
L, M, and N are midpoints
1. altitude to AB
segment BL
segment CN
segment CR
2. median to BC
segment AS
segment AM
segment BL
3. altitude to BC
segment AS
segment AM
segment BT
Answer:
Step-by-step explanation:
Median is the line drawn from the midpoint of one the sides of the triangle to the opposite vertex is called Center of Mass of Triangle.
So, Q is center of mass of triangle.
The perpendicular of a triangle is perpendicular to the sides drawn from the opposite vertices and divides the sides into two equal parts.
so, P is perpendicular point of the triangle.
1.8 x 0.3 (step by step explanation pleaseee!!)
expand (2x -5)(x+5)
Step-by-step explanation:
(2x -5)(x+5)
FOIL method: multiply first, outer, inner, last pairs:
[tex]2x^2+10x-5x-25\\\\2x^2+5x-25\\[/tex]
Answer:
= 2x² + 5x - 25
Step-by-step explanation:
(2x - 5)(x+5)
=2x*x + 2x*5 - 5*x - 5*5
=2x² + 10x - 5x - 25
= 2x² + 5x - 25
A wheel of radius 14 inches is rotating 15degrees/s round answers to 2 decimal places
-----------------------------------------
Answer:
1 3/7 or 10/7
Step-by-step explanation:
1/5/2 + 1/10/3
1*2/5 + 1*3/10
2/5+3/10
4/10+3/10
7/10
1/10/7
F=10/7 or 1 3/7
Hopes this helps please mark brainliest
Today, everything at the store is on sale. the store offers a 40% discount.
a. The regular price of the pants is $35 on sale. What is the discount price?
b. the discount on a scarf is $30. What is the regular price?
Help!!!!Tyler's savings account pays a simple annual interest rate of 3.25%. Suppose he deposits $5,000 in the account and makes no additional deposits or withdrawals for 3 years. What will the total value of the account be after 3 years?
The amount in the bank account at the end of 3 years will be; $5487.5
What is simple interest?Simple interest is a method of calculating the interest charge. Simple interest can be calculated as the product of principal amount, rate and time peroid.
Simple Interest = (Principal × Rate × Time) / 100
The amount deposited by Tyler's in the savings account is $5,000
Interest rate = 3.25% annually
Then Calculating the amount in the bank account after 3 years, using the formula;
Simple Interest = (Principal × Rate × Time) / 100
where P = principal invested
R = rate of interest annually
T = number of years amount is invested
So, Simple interest on the principal invested for 3 years=
5,000 x 3.25 x 3/100 = 487.5
The amount in the bank account at the end of 3 years will be;
= 487.5 + 5,000
= $5487.5
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PLEASE ANSWER! URGENT I WILL GIVE BRAINLIEST
Answer:
Step-by-step explanation:
1.
A - $8
B - $10
C - $50
D - (Your name)
E - Cereal (Or your choice)
F - Cookies (Your choice again)
2.
(Your Name) is going shopping for Cereal and Cookies. The cost of Cereal is $10 and the cost of Cookies is $8. If (Your Name) can spend at most $50 how many Cookies can be purchased?
3. and 4.
Review with your partner to get your answers :)
Good luck!
in an effort to remember the quadratic formula, justice writes the equation 50 times. she is using a technique known as
Justice is using a technique known as chunking.
Short-term memory can function more effectively thanks to chunking, however the quantity of chunks that can be stored efficiently declines as chunk size grows.
Large pieces of information may be divided into smaller bits and then grouped together using relevant information or attributes before being stored in order to improve retention of that information in the short term memory. To establish relational information or similarity between the information to be stored in order to improve retention and recall in the short term memory, information must be broken down before being regrouped. However, as chunk size grows, so does the efficiency of information chunking.
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A park is in the shape of a rectangle and measures 40 m by 30 m. How much longer is it to walk from A to B along the diagonal of the park than to walk along the edges of the park? please with steps
20 m longer to walk from A to B along the diagonal of the park than to walk along the edges of the park.
What is rectangle?
Rectangles are quadrilaterals having four right angles in the Euclidean plane of geometry. It can alternatively be described as a parallelogram with a right angle, an equiangular quadrilateral, or a group of triangles with equal angles. A square is a rectangle that has four equal sides.
As given, a park is in the shape of a rectangle and measures length of
40 m and width of 30 m, ∠B = 90°.
So, by Pythagoras theorem,
[tex]AC^2 = AB^2 + BC^2\\AC^2 = (40)^2 + (30)^2\\AC^2 = 1600 + 900\\AC^2 = 2500\\AC = \sqrt{2500}\\ AC = 50[/tex]
So, the distance from A to B along the diagonal is,
AB = AC + BC = 50 + 40 = 90 m
The distance from A to B along with the edges is,
AB = AD + DC + CB = 40 + 30 + 40 = 110 m.
Therefore, 20 m longer to walk from A to B along the diagonal of the park than to walk along the edges of the park.
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what is 4/25 more than 0.40
The value of the number that is 4/25 more than 0.40 is 0.56 .
In the question ,
it is given that a number is 4/25 more than 0.40 , and we have to find that number .
let that number be = "x" .
in order to find the number x ,
we first convert 4/25 into decimal
4/25 = 16/100 = 0.16
that is 4/25 in decimal is 0.16
the number is 0.16 more than 0.40 ,
According to the question ,
x = 0.16 + 0.40
on adding both the numbers
we get ,
x = 0.56
Therefore , The value of the number that is 4/25 more than 0.40 is 0.56 .
The given question is incomplete , the complete question is
What is the value of the number that is 4/25 more than 0.40 ?
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Hazel plans to mow her neighbors' yards to earn money. She charges a base fee of $25 and $9 for every hour she mows. The amount she earns per yard can be represented by the linear function m(t) = 9t + 25. What is the value of m(2), and what is its interpretation?.
Answer:
the value of M(2) would be 43
Step-by-step explanation:
M(2) mean y
y = 9t+25
= y=9(2) + 25
y = 18 + 25
y = 43
Answer:
Step-by-step explanation:
M(2) = 43; If Hazel mows 2 yards, she will earn $43.
Find the y-intercept for the parabola defined
by this equation:
y = x2 + 8x + 12
Separate the values with a comma.
well, we can find the y-intercepts by simply setting y = 0 and solving for "x"
[tex]\stackrel{y}{0}~~ = ~~x^2+8x+12\implies 0=(x+2)(x+6)\implies x= \begin{cases} -2\\\\ -6 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill (-2~~,~~0)\hspace{5em}(-6~~,~~0)~\hfill[/tex]
Solve the system by graphing
y = x-9
y=-x-1
By solving the system graphically we get X=4 , Y=-5
What in mathematics is a linear equation?
Definitions: According to Wolfram MathWorld A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."
The Answer to this question given in the Image
In this image we can see that line intersect at 1 point which is (4,-5)
Hence the ans is X=4 , Y=-5
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1231 Be 40 2) Classify The following numbers whele numbers, terminating decimals and non terminating non repeating non terminating repeating decimals intigers
0. 45
0. 131313
- 12
Classification of the given numbers as terminating decimal or non-terminating recurring decimal or non-terminating non-recurring decimal:
a. 0.45 : terminating
b. 0.131313 : terminating
c. -12 : terminating
d. 0.09099099909999... : non-terminating non-recurring decimal
e. 3.143256143256... non-terminating recurring decimal
As given,
Classification of the given numbers in the following way :
Terminating decimals : Finite number of digits after decimal.Non-terminating recurring decimal :Infinite number of digits with pattern repetition after decimal.Non-terminating non-recurring decimal : Infinite number of digits without repetition after decimal.a. 0.45 : terminating
b. 0.131313 : terminating
c. -12 : terminating
d. 0.09099099909999... : non-terminating non-recurring decimal
e. 3.143256143256... non-terminating recurring decimal
Therefore, classification of the numbers are given below:
b. 0.131313 : terminating decimal
c. -12 : terminating decimal
d. 0.09099099909999... : non-terminating non-recurring decimal
e. 3.143256143256... non-terminating recurring decimal
The complete question is:
Classify the following numbers as terminating decimal or non-terminating
recurring decimal or non-terminating non-recurring decimal.
a. 0.45
b. 0.131313
c. -12
d. 0.09099099909999...
e. 3.143256143256...
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what is the predicted value for accidents per 1000 licenses for a city that has 13% of its licensed drivers under age 21, according to the estimated regression equation?
Answer:2.131
Step-by-step explanation:
What is the predicted value for accidents per 1000 licenses for a city that has 13% of its licensed drivers under age 21, according to the estimated regression equation? Answer: 2.131 The p -value for "Percent under 21" in the regression output is p = 0.0000.
(03.03 MC)
Which of the following statements best describes the location of −(−2) on a number line?
Group of answer choices
A.) It is 2 units to the left of 2.
B.) It is 2 units to the right of 2.
C.) It is 2 units to the left of 0.
D.) It is 2 units to the right of 0.
Option (D) is the correct one and the number -(-2) is 2 units to the right of 0.
Given, a number -(-2),
we have to describe the location of the number -(-2) on a number line.
On simplifying, we get
-(-2) = +2
So, the number we have to plot is 2.
As, we know that the positive numbers are on the right side of the origin.
So, the number will be 2 units to the right of 0.
Hence, Option (D) is the correct one and the number is 2 units to the right of 0.
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use the graph to find f(0)
The value of f(0) is 2.
What is the y-intercept?The y-intercept of a function is the value of the function when x=0.
Note that f(0) is the value of f when the graph of the function crosses the y-axis.
Note from the graph that the graph of the function crosses the y-axis at
x = 2.
Hence, the value of f(0) is 2.
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A protractor is used on an angle. One ray of the angle is at 13° and the other ray is at 57°.
What is the measure of the angle?
The required measure of the angle measured by using a protractor is 70°
Given situation : A protractor is used on an angle
A ray is passed through this angle
we have to find the measure of the total angle
Let the angle is passed through an angle ∠ABC
and the ray be BD
thus the two angles which will be formed will be
∠ABD and ∠DBC
Now let one of the angles , say angle ∠ABD be 13°
and ∠DBC be 57°
Thus the whole angle would be ∠ABD + ∠DBC = ∠ABC
∠ABC = 57 + 13 = 70°
Thus the required measure of the angle is 70°
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What is the solution to the equation? 5x +9y = 41 (4,1) (1,4) (1,7) (7,1)
Explanation:
5x+9y=41
(1,4)
suppose x is a normally distributed random variable with a mean of 12 and a standard deviation of 3. the probability that x equals 19.62 is . a. 0 b. .0055 c. .4945 d. .9945
The probability of x being equal o 19.62 is d) 0.
It is given that x is normally distributed with a mean of 12 and a standard deviation of 3.
Now, Normal distribution is a continuous distribution.
This implies that the probability is measured over an interval, taking an infinite number of points in between.
If we plot a continuous distribution, the probability here at a point is not the value of the y coordinate at that point. Instead, it is seen as an area under the curve of the distribution, between the two intervals, say a and b.
Therefore, if we take up a single point say c, then the probability will be the area under the curve from c to c, which will obviously be 0.
Hence, the probability that x = 19.62 will be 0.
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Select the correct answer. Which statement is true about the graph of this equation? y + 4 = 4(x + 1) A. The graph is a line that goes through the points (1,-4) and (0,0). B. The graph is a line that goes through the points (1,4) and (2,8). C. The graph is a line that goes through the points (-4,-1) and (-3,-3). D. The graph is a line that goes through the points (4,1) and (5,5).
Answer:
B
Step-by-step explanation:
plug in 1 for x and 4 for y
4 + 4 = 4(1+1)
8 = 8
Plug in 2 for x and 8 for y
8+ 4 = 4(2+1)
12 = 12
two cards are pulled at random from a deck of 100 cards labeled from 1 to 100. what is the probability that one of the pulled cards is double the value of the other?
The probability that one of the pulled cards is double the value of the other is 0.0101.
Consider the possibility of the first card being double or the second card being doubled. There are 50 possible combinations if the first card is doubled. When the first card is double, the second card has a 1/99 chance of being the half-card
The probability of the first card being doubled is as follows:
= 50 × 1/100 × 1/99
So the probability of drawing two cards, where one is double the other, is:
= 2 × 1/2 × 1/99 or 0.0101
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What is the slope of a line perpendicular to the line whose equation is 5 x + y = − 4 5x+y=−4. Fully simplify your answer.
The slope of the perpendicular line is 1/5
How to determine the slope of the perpendicular line?The equation of the line is given as
5x + y = -4
The equation of a line can be represented as
y = mx + c
Where
Slope = m
So, the first step is to make the variable y the subject in 5x + y = -4
This gives
y = -5x - 4
By comparing the equations, we have the following
m = -5
This means that the slope of 5x + y = -4 is -5
So, we have
Slope 1 = -5
The slopes of perpendicular lines are opposite reciprocals
i.e.
Slope 2 = -1/Slope 1
This gives
Slope 2 = -1/-5
Evaluate
Slope 2 = 1/5
Hence, the perpendicular line has a slope of 1/5
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Consider the problem: Mai has $36 to spend on movie tickets. Each movie ticket costs $4.50. How many tickets can she buy?
Part 1:
Select BOTH a multiplication equation AND a division equation to represent this situation.
A. 36 ÷ 4.50 = ?
B. 4.50 ÷ 36 = ?
C. 4.50 · 36 = ?
D. ? · 4.50 = 36
Answer: A and D
Step-by-step explanation:
