Answer:
in 2014=4100 in 2008=6800 last question=2020
Step-by-step explanation:
multiply (-5+i) and 2i with 2i
2i × 2i = 4i^2 ➡-4
2i × (-5+i) = -10i + 2i^2 ➡-10i -2
then do the division
(-10i -2)/-4 = (5i + 1)/2
4) Find x if m/2 = 18x - 1 and
m2UWV = 33x + 1.
W
U
For given expression x will be equal to 1.
What are expressions?
Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between. The mathematical operators can be of addition, subtraction, multiplication, or division. For example, x + y is an expression, where x and y are terms having an addition operator in between. In math, there are two types of expressions, numerical expressions - that contain only numbers; and algebraic expressions- that contain both numbers and variables.
e.g. A number is 6 more than half the other number, and the other number is x. This statement is written as x/2 + 6 in a mathematical expression. Mathematical expressions are used to solve complicated puzzles.
Now,
Given expression is m/2=18x-1
where m=33x+1
By putting value of m
33x+1=(18x-1)*2
33x+1=36x-2
3x=3
x=1
Hence,
For given expression x will be equal to 1.
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Chris makes $30 for each lawn he mows for his neighbors. Which graph shows the relationship between the number of lawns Chris mows in a week and the amount of money he makes?
Step-by-step explanation:
with each lawn mowed he earns more money so if he makes 3 lawns he makes a profit of 30x3=90 dollars
Answer:
Step-by-step explanation:
The graph that shows the relationship between the number of lawns Chris mows in a week and the amount of money he makes is a linear graph. On the x-axis, the number of lawns mowed would be represented, and on the y-axis, the corresponding amount of money Chris makes would be represented. As Chris makes $30 for each lawn he mows, the graph would be a straight line that goes through the origin (0,0), and for each increase of 1 lawn mowed, there would be a corresponding increase of $30 in the amount of money made.
The area of a rectangle is 44 square units. Its length measures 11 units. Find the length of its diagonal
The length of the diagonal of the rectangle is 11.7 units.
What is the area of the rectangle?The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.
Given that the area of a rectangle is 44 square units. Its length measures 11 units.
Area = L x W
44 = 11 x W
W = 4 units
D² = W² + L²
D = √ ( 11² + 4 ²)
D = √ ( 121 + 16)
D = 11.7 units'
Therefore, the measure of the diagonal is 11.7 units.
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What is the equation of this graph compared to parent graph? vertical shift= number added or subtracted to function.
Graphs can be shifted vertically in both straight and curved lines.
What is the equation for vertical shift?Graphs can be vertically moved in both linear and curvilinear directions. Add or remove a number from the constant to change the equation's graph vertically. G(x) = f(x) + c and G(x) = f(x) - c are the formulas for an upward and a downward shift, respectively.
Given a function f, a new function g(x) = f(x - h) is created, where h is a constant. This new function is a horizontal shift of the original function f. Graph shifts to the right if h is positive. If h is low, the graph will move to the left.
Given a function f(x), a new function g(x) = f(x) + k is created, which is a vertical shift of the original function f(x). The output values all shift outward by k units. The graph will move upward if k is positive. The graph will tilt downward if k is negative.
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What is the percentage increase from 520 to 800
153,9 % d'augmentation
70 POINTSSS PLEASE HELP You have just been promoted at your job, and now you have a net income of $2,190. You would like to use this income to meet new financial goals. 1. Create a budget that will allow you to save at least $300 per month. (10 points) Remember, your old budget reflected a net income of $1850.00 and included these expenses: $600 for your rent $475 for your car payment, car insurance, and gas $230 for your utilities, phone, and Internet $300 for your groceries $50 for your entertainment $20 for your renters insurance $75 for discretionary spending A final net total of $100 saved per month Your new budget needs to include these changes: A new line to budget $50 per month toward a new computer Other expenses may be modified as you choose, A final net total of at least $300 saved per month Scroll to the next page to edit your budget with these changes in mind.
The financial save at least $300 per month and allocate $50 per month towards a new computer.
A budget that allows you to save at least $300 per month with your new net income of $2,190. Let's adjust expenses to meet your financial goals.
Old Budget:
Net Income: $1,850
Expenses:
Rent: $600
Car payment, car insurance, and gas: $475
Utilities, phone, and Internet: $230
Groceries: $300
Entertainment: $50
Renters insurance: $20
Discretionary spending: $75
Savings: $100
New Budget:
Net Income: $2,190
Expenses:
Rent: $600 (No change)
Car payment, car insurance, and gas: $475 (No change)
Utilities, phone, and Internet: $230 (No change)
Groceries: $300 (No change)
Entertainment: $50 (No change)
Renters insurance: $20 (No change)
Discretionary spending: $75 (No change)
New computer budget: $50
Savings:
Now, to save at least $300 per month. So, let's set the savings amount to $300.
Savings: $300
Now, let's adjust the discretionary spending to meet the new savings goal:
Discretionary spending: $75 (old) + $300 (savings goal) - $50 (new computer budget) = $325
The new budget with the changes in mind is as follows:
Net Income: $2,190
Expenses:
Rent: $600
Car payment, car insurance, and gas: $475
Utilities, phone, and Internet: $230
Groceries: $300
Entertainment: $50
Renters insurance: $20
Discretionary spending: $325
New computer budget: $50
Savings: $300
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in a chi-square test of independence, the p-value of the test is 0.0000 and the level of significance of the test is 0.05 . what statistical decision could you make from this information,
The statistical decision you could make from this information is that the two variables are dependent and unlikely to occur by chance.
In a chi-square test of independence, a p-value of 0.0000 means that the probability of observing the data or a more extreme result given that the null hypothesis is true is very small. In this case, the p-value is less than the level of significance (0.05), which means that you would reject the null hypothesis.
Based on this information, you could make the statistical decision that there is evidence to suggest that there is a relationship between the two variables being tested and that this relationship is unlikely to have occurred by chance. This means that you would conclude that the variables are dependent on each other and not independent.
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pls help me with this question pls asao
The unknown area of A for each shapes are:
A = 16A = 27A = 22.5A = 14.5A = 128A is unknown due to the incomplete informationPlease note that the question no. 6 was unable to be answered because the screenshots provided was not full enough.
To help us on answering these questions, we refer to the unknown area of A as area' and the known area as area. The unknown area's side or base will be noted as base' or side' and the known area's side and base as side or base.
1. Area = 4cm²
Base = 3cm
Base' = 6cm
Area of triangle = 1/2 base x height
4cm = 1/2 (3) h
h = 8/3
base / base' = height / height'
3 / 6 = 8/3 / height'
height' = 16/3
Area' = 1/2 base' x height'
Area' = 1/2 (6) x (16/3)
Area' = A = 16
2. Area = 3cm²
Base = 2cm
Base' = 6cm
Area of triangle = 1/2 base x height
3cm = 1/2 (2) h
h = 3
base / base' = height / height'
2 / 6 = 3 / height'
height' = 9
Area' = 1/2 base' x height'
Area' = 1/2 (6) x (9)
Area' = A = 27
3. Area = 5cm²
Base = 6cm
Base' = 9cm
Area of triangle = 1/2 base x height
5cm = 1/2 (6) h
h = 5/3
base / base' = height / height'
6 / 9 = 5/3 / height'
height' = 5
Area' = 1/2 base' x height'
Area' = 1/2 (9) x (5)
Area' = A = 22.5
4. Area = 58cm²
Base = 20cm
Base' = 10cm
Area of triangle = 1/2 base x height
58cm = 1/2 (20) h
h = 5.8
base / base' = height / height'
20 / 10 = 5.8 / height'
height' = 2.9
Area' = 1/2 base' x height'
Area' = 1/2 (10) x (2.9)
Area' = A = 14.5
5. Area = 18cm²
Length = 6cm
Wide' = 8cm
Area of rectangle = lenght x wide
18 = 6 x wide
wide = 3
Lenght / Length' = Wide / Wide'
6 / Length' = 3 / 8
Lenght' = 16
Area' = Lenght' x wide'
Area' = 16 x 8
Area' = A = 128
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which of the following statements is true? which of the following statements is true? scientific concepts are permanent once they have been investigated and supported by data. our data fully explain natural phenomena once we are able to show cause and effect. the scientific process is a continuous process of collecting data and refining hypotheses. when data support a hypothesis, the work on that scientific concept is complete. collecting data that are consistent with a hypothesis proves that the hypothesis is correct.
The statement that is true about Scientific process and method is the scientific process is a continuous process of collecting data and refining hypothesis.
Studies and researches are done by a scientific method which follows certain standards and protocols. The method starts with an observation, a question is asked why it happens and formulating a hypothesis. Either we can do a controlled experiment to test whether the hypothesis is correct or not, or we can do a non-experimental hypothesis, where experimenting will not be ethical.
The scientific process is a continuous process, which need to be collecting data and refining hypothesis. Even our data support hypothesis, the data might not be true in some cases. So work on a scientific concept is never complete. Even if we have data on causes and effects of a natural phenomena, we could not necessarily predict it every time, example: earthquake. Also, while collecting data, we should be fair in its treatment. We can't take data that only support our hypothesis.
So, the correct statement is option c. Scientific process is a continuous process of collecting data and refining hypotheses.
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PLEASE HELP I don’t have a lot of time to answer this question but i just don’t understand it.
The preimage of B' is B in the given transformation.
What is transformation?A transformation is a process that manipulates a polygon or other two-dimensional object on a plane or coordinate system.
Given that, Δ ABC is transformed into Δ A'B'C',
The corresponding preimages of the vertices are =
A → A'
B → B'
C → C'
Hence, the preimage of B' is B in the given transformation.
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Suppose 8x + 16 ice cream cones were sold on Saturday and 7x - 9 were sold on
Sunday. What is the total number of ice cream cones sold?
A. 15x + 25
B. 15x + 7
C. x + 7
D. x + 25
Answer: B. 15x+7
Step-by-step explanation:
since you are calculating the total # of ice cream cones sold, you must add the two equations together: 8x+16+7x-9=
After you simplify this equation, you will have your answer.
What i the univeral theme of thi paage?
O the lo of innocence
• the tenion between freedom and reponibility
O ocietv' dependence on authority
O humanity' earch for meaning in the
world
The universal theme of this passage is humanity’s search for meaning in the world.
A universal theme is an idea that applies to everyone regardless of cultural variations or geographic region. frequent subject matters are approaches to connect thoughts across all disciplines.
it's miles a critical concept about the human situation. it is a generalization about lifestyles or human nature; they address simple human issues.
instance: In locating Nemo, the author believes that a person must learn how to consider themselves and others. trace: don't use man or woman names or specific details… hold it regular via the use of “someone” or “one” as an alternative!
The most compelling and widely universal meanings are well-known concepts, thoughts, and notions that nearly every person can relate to, however, do no longer mean identical to any two humans.
Examples of familiar ideas include joy, death, circle of relatives, struggling, love, and beginning.
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Three friends went out to lunch. They each started with the same amount of money, and they each spent $6. They ended with a combined total of $24. How much money did each of them have to start?
Write an equation that could be used to answer the question above. First, chose the appropriate form. Then fill in the blanks with the numbers 3, 6, and 24.
A. _(x + _) = _
B. _(x - _) = _
An equation that could be used to answer the question above is,
3(x - 6) = 24.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, Three friends went out to lunch. They each started with the same amount of money, and they each spent $6.
Now, They ended with $24 combined so each must have ended with
(24/3) = $8.
Now, Each has ended with $8 and spent $6 so they had a total of (8 + 6)
= $12.
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Give the coordinates pairs for the given points and name the quadrant or axis that the point lies in or on
Answer: A: (-2,5). B: (6,3). C: (-3,-7). D: (2,-5). E: (0,-3). F: (-7,0). G: (6,0). H: (0,6).
Step-by-step explanation:
Since the quadrants go as 1, 2, 3, and 4 in a counterclockwise motion starting from the top right, we already know all the point's quadrants. now it's a matter of looking at the points. Hope this helps!
how to do the guesa pattern?
A particular practice called "Guess the Pattern" caught my attention as I browsed through my 10-year collection of workouts. You are trying to determine a pattern of five colors that is loosely based on the popular board game Mastermind. With this twist, you get to decide how much feedback you want to get on your predictions.
What is Guess the Pattern?The game just provides you with "correct" or "wrong" feedback at the lowest level. The information is meaningless, and the likelihood of being correct without additional specific feedback is relatively low, much as bug reports that simply state "doesn't work."At the medium level of feedback, you get hints that aren't directly related to the solution, such as the fact that four out of the five colors you selected are in the pattern. For each dot in your guess, you receive feedback at the highest level.The purpose of the game was to get students talking in class about what makes test findings and bug reports—two types of feedback—more or less helpful in the software development process. Probably a dozen courses were where I ran the game. Most of the time, the discussion moved in the direction I wanted it to go to support the curriculum.To Learn more About Guess the Pattern Refer To:
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the tires on a new car have a diameter of 2.0 ft and are warranted for 60,000 miles. a. determine the angle (in radians) through which one of these tires will rotate during the warranty period. (5280 ft
The angle through which one of these tires will rotate during the warranty period is approximately 3.168 × 10⁸ radians.
To find the angle in radians, we need to know the distance that the tire covers and convert it to radians.
The distance covered by the tire can be found by multiplying the circumference of the tire by the number of rotations it makes. The circumference of the tire can be calculated as follows:
C = 2πr
where r is the radius of the tire
Since the diameter is given, the radius can be found by dividing the diameter by 2:
r = diameter/2
So,
C = 2π × (diameter/2) = π × diameter
The number of rotations can be found by dividing the distance covered by the tire by the circumference:
distance covered = 60,000 miles
1 mile = 5280 feet
distance covered = 60,000 × 5280 feet
rotations = distance covered/circumference
Using the above equations, we can find the angle (in radians) through which the tire rotates during the warranty period as follows:
angle = rotations × 2π
angle = (60,000 × 5280/(π×2.0)) × 2π = 3.168 × 10⁸ radians
So, the angle through which one of these tires will rotate during the warranty period is approximately 3.168 × 10⁸ radians.
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we shuffle a deck of 52 standard playing cards . how many cards do you need to draw to be sure to get three cards of the same denomination (number value, including face cards)?
You need to draw at least 5 cards to be sure to get three cards of the same denomination. The reason is that there are 13 different denominations and 5 choose 3 = 10 ways to choose 3 cards out of 5. So, in 5 cards, there will be at least one set of three cards with the same denomination.
Each denomination (number value) has 4 cards in a standard deck of 52 playing cards. When you draw 5 cards, you have at least 4 cards of the same denomination (number value), or you have at least 2 pairs of the same denomination, or you have 3 cards of one denomination and 2 of another. In the first case, you already have 3 cards of the same denomination, so you're done. In the second case, you can choose any one pair to be your set of three cards with the same denomination. In the third case, you can choose the three cards of one denomination to be your set. In all cases, you are guaranteed to have at least 3 cards of the same denomination after drawing 5 cards.
Therefore, to guarantee getting three cards of the same denomination, you need to draw at least 5 cards.
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when there are fractions in an equation, how do you determine what number to multiply by in order to rewrite the equation into a simpler form?
To make an equation with fractions simpler we will be required to take up and LCM and cross-multiplication.
When an equation has fractions, there can be a case where each side, the LHS and the RHS, have multiple fractions with different denominators or even whole numbers.
In this case, first, you have to make sure to take an LCM for fractions on each side and make sure each side has only one denominator and all the constants and variables are a part of that fraction.
Then you have to take the denominator from each side and then multiply it with the numerator of the other. For example-
If an equation looks like [2x - 3]/5 = [4x + 8]/7
Here LHS has 5 as the denominator while RHS has 7
Hence, we will take 5 over to the RHS and 7 to LHS to get
7 X [2x - 3] = 5 X [4x + 8]
Now we have gotten our simpler form.
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In the transformation AABCAA'B'C', the prelmage of B' Is Type the answer in the space provided.
In the transformation ABC A'B'C', the preimage of B' is B.
What is the transformation about?It's a triangle, ABC. ABC is changed so that the resulting image is A'B'C'. It should be noted that there are many other forms of transformations, including dilation, vertical shift, horizontal shift, rotation about a point, reflection on a line, etc.
Corresponding vertices will be matched in all transformations. In other words, A will change to A', B to B', and C to C'.Preimage of B' would just be B itself due to the transformation's ability to maintain image similarity and convert vertices appropriately.
In conclusion, it is B.
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In the transformation ABC A'B'C', the preimage of B' is ____
Use the figure to answer the questions.
(a) Describe the relationship among the lengths of the segments formed by the two secants. You may use words and/or an equation.
(b) Suppose CG=3 in., CH=2 in. and GE=5 in. Is it possible to find the length of (DH) ? If so, show how to find the length. If not, explain why not.
a) The relationship among the lengths of the segments formed by the two secants as; (CG+GE)CG = (CH+HD)CH
b) It possible to find the length of DH based on the Secant-secant theorem
What is Secant-secant theorem?It states that if two secants are drawn from an external point to a circle, then the product of the measures of one secant's external part and that entire secant is equal to the product of the measures of the other secant's external part and that entire secant.
i.e., (CG+GE)CG = (CH+HD)CH ---(1)
Now we have been given
CG = 3 in
CH = 2 in
GE = 5 in
Substitute these values in equation (1)
(3 + 5) 3 = (2 + DH) 2
24 = 4+ 2DH
DH = 10 in
Therefore, yes it is possible to find DH .
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Let f(x) = Find the values of x where f'(x) = 7. X + 8 Give exact answers (not decimal approximations). The greater solution is x = The lesser solution is x =
As for the function f(x) = x + 8 has no values of x where its derivative is equal to 7
A "function" is a mathematical concept that assigns a unique output to each input. The derivative of a function gives us information about how the function is changing at any given point.
In this question, we are asked to find the values of x where the derivative of the function f(x) = x + 8 is equal to 7.
Here we have to solve this problem, we can start by finding the derivative of the function f(x) = x + 8.
The derivative of this function is f'(x) = 1, which means that for every unit increase in x, the function f(x) increases by 1 unit.
Next, we set f'(x) = 7 and solve for x.
This gives us the equation 1 = 7, which is not possible.
Therefore, there are no solutions to this problem and the values of x where f'(x) = 7 do not exist.
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Pls answer i need this 19 points given
Answer:
48
Step-by-step explanation:
its correct believe it or not
The square root of 516
Answer:
The square root of 516 is 22.627416997969522 or approximately 22.63.
Plot the point (1 and 1/2, 5 ) in the coordinate plane
Plot the point (1 and 1/2, 5 ) in the coordinate plane is Attached below.
What are coordinates?A pair of numbers called coordinates are used to locate a point or a form in a two-dimensional plane. The x-coordinate and the y-coordinate are two numbers that define a point's location on a 2D plane.
Given, the point (1 and 1/2, 5 ) in the coordinate plane
Since, Point at x = 1 1/2 the value of y = 5
In coordinate plane,
x = 1 1/2 represents that Point is 1 1/2 units right to the origin point that is (0, 0).
And y = 5 represents that Point is 5 units upward to the origin point that is (0, 0).
therefore, the graph of (1 1/2 , 5) is attached below.
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y = x^2 - 12x + 46 in vertetx form
Answer:
y = (x - 6)^2 + 10.
Step-by-step explanation:
y = x^2 - 12x + 46
y = (x - 6)^2 - 36 + 46
y = (x - 6)^2 + 10.
The population of a town can be modeled using the formula P=25,000e0.03t, where t is the number of years after 2012 and P is the town's population. Which of the following equations can be used to find the number of years after 2012 that the population will double to 50,000?
After 10.01 years, the population will be equivalent to 50000.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that the population of a town can be modeled using the formula as -
{P} = 25000 [tex]$e^{0.03t}[/tex]
For {P} = 50000, we can write -
50000 = 25000[tex]$e^{0.03t}[/tex]
[tex]$e^{0.03t}[/tex] = 2
log{[tex]$e^{0.03t}[/tex]} = log{2}
0.03t log {e} = log{2}
0.03t = log{2}
t = log{2}/(0.03)
t = 10.01 years
Therefore, after 10.01 years, the population will be equivalent to 50000.
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A student is attempting to solve the equation below for the variable x. Which of the statements below best applies to the mathematical work shown? Given , I square both sides, which gives me the equation 2x + 22 = 25. I can then solve for x, yielding x = –9.5 as my final answer. A. The student did not correctly square both sides of the equation. B. The student did not properly isolate the variable after squaring both sides of the equation. C. The student omitted a negative solution to the equation. D. The mathematical work is correct.
Answer:
D. The mathematical work is correct.
Step-by-step explanation:
The student precisely squares both sides of the equation correct 2x + 11 = 12.5 by multiplying both sides by 2x + 11, resulting in (2x + 11)^2 = (12.5)^2. The student then isolates the variable x by subtracting 11^2 from both flanks of the equation and dividing both sides by 2. This results in x = -9.5. So, the student's solution and the mathematical result are correct.
consider the function f (x, y) = 1 x2 y2. draw a contour map for f (x, y).
A two-dimensional surface with all the points of equal value is shown in a contour map for the function f (x, y). It is used to illustrate how the function changes in relation to the two variables.
1. On the two-dimensional coordinate plane, create a grid.
2. Give each of the x and y coordinates a value.
3. Determine the value of f (x, y) for every pair of x and y.
4. Plot the grid points based on the values of f. (x, y).
5. To create the contour map, connect the points with equal values along a curved line.
In a two-dimensional plane, a contour map is a graphical representation of a function that displays all the points with identical values. It is used to illustrate how the function changes in relation to the two variables. Draw a grid on the two-dimensional coordinate plane and give values to the x- and y-coordinates before drawing a contour map for a function f (x, y). Once this is done, determine the value of f (x, y) for each pair of x and y, and plot the points on the grid using those values (x, y). To complete the contour map, draw a curved line connecting the points of equal value. The contour map will display the function's regional extrema as well as any locations where it is rising or decreasing locally. Additionally, it can be used to pinpoint regions of the plane where the function's value is constant. For seeing and comprehending the behaviour of functions of two variables, contour maps are a useful tool.
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what are the coordinates of the oriented length whose tail has coordinates (1, 2, 3) and whose head has coordinates (3, -2, 7)
The coordinates of the oriented length whose tail has coordinates (1, 2, 3) and whose head has coordinates (3, -2, 7) can be calculated using vector subtraction, which is (2,-4,4) or (-2,4,-4)
Vector subtraction is a method of subtracting one vector from another, resulting in a new vector. The new vector will have the same direction as the vector being subtracted, and a magnitude equal to the difference of the magnitudes of the vectors being subtracted.
In this case, the vector being subtracted is from the tail to the head, so the new vector will point from the head to the tail.
The vector from tail to head can be written as:
Tail to Head = (3, -2, 7) – (1, 2, 3) = (2, -4, 4)
Therefore, the vector from head to tail is:
Head to Tail = – (2, -4, 4) = (-2, 4, -4)
The coordinates of the vector from head to tail are (-2, 4, -4).
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Tanisha earned a grade of 82% on her multiple choice math final that had a total of 200 problems how many. Problems on her final exam did Tanisha answer correctly
Answer:
164
Step-by-step explanation: