Answer:
Answer: 5
Step-by-step explanation:
The average rate of change for the function f(x) from x=a to x=b is given by :-
The given function : (Its a quadratic function with degree 2.)
The average rate of change for the quadratic function from x=−2 to x = 5 will be :-
[Note (-)(-)=(+)]
Hence, the average rate of change for the quadratic function from x=−2 to x = 5 is 5 .
Step-by-step explanation:
What is front-end ratio and how do you figure it out?
Answer:
The front-end ratio is calculated by dividing an individual's anticipated monthly mortgage payment by his/her monthly gross income. The mortgage payment generally consists of principal, interest, taxes, and mortgage insurance (PITI). Lenders use the front-end ratio in conjunction with the back-end ratio to determine how much to lend.
Step-by-step explanation:
Excuse me, for the person who answers this right I will brain list. (if you can't quiet understand the question, I left an image)
Complete: For the function ()=−2‾‾‾‾‾√3, the average rate of change to the nearest hundredth over the interval −2 ≤ x ≤ 4 is ______.
Answer: It is 3.>9
Step-by-step explanation:
because i dont know
Which statement about the students' preferences is true? A. More students prefer Model B2 calculators than Model C3 calculators B. More students prefer black Model C3 calculators than white Model B2 calculators. C. More students prefer black calculators than white calculators. D. The fewest students prefer white Model B2 calculators. NEED HELP
B. More students prefer black Model C3 calculators than white Model B2 calculators.
- Ap3x verified
Consider the function shown below.
g(x) = 2^x
If the function g is horizontally compressed by a factor of 1/2 and reflected across the x-axis to obtain function f, which of the following graphs matches the above transformation?
The graph of the transformation by of horizontally compressing g(x) by a factor of 1/2 and then reflecting across the x-axis is graph Y
How to determine the graph?The function is given as:
[tex]g(x) = 2^x[/tex]
When compressed horizontally by a factor of 1/2, the transformation rule is:
g'(x) = g(2x)
So, we have:
[tex]g(2x) = 2^{2x}[/tex]
[tex]g(2x) = 4^x[/tex]
When reflected across the x-axis, the transformation rule is:
[tex](x,y) \to (x,-y)[/tex]
So, we have:
[tex]f(x) = -4^x[/tex]
The graph represented by this is graph Y.
Hence, the graph of the transformation is graph Y
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What is the value of 4/15 ➗ 2/3?
Answer:
2/5, option 4.
Step-by-step explanation:
When you are dividing 2 fractions, the first fraction stays the same, and the 2nd fraction becomes the reciprocal, and the division sign becomes a multiplication sign.
The reciprocal of 2/3 is 3/2.
Now you need to change the division sign to a multiplication sign.
The equation will now become 4/15 x 3/2.
4 times 3 is 12, and 15 times 2 is 30.
12/30 isn't an option, so you will need to simplify.
Find a common factor, then divide.
6 is a common factor, so you divide both 12 and 30 by 6, to get 2 and 5.
2/5 is what you are left with.
Option 4.
4/15 divided by 2/3 is 2/5.
Answer:
hi
Step-by-step explanation:
[tex] \frac{4}{15} \div \frac{2}{3} = \frac{4}{15} \times \frac{3}{2} = \frac{2}{5} [/tex]
have a nice day
15 POINTS! PLEASE HELP!
To measure the distance across a wide river surveyors use a technique of measuring angles to a fixed point on the other side of the river. In the diagram below, a survey starts a point A and find m
Answer:
DC = 1332.95 feet
Step-by-step explanation:
From the figure attached,
Let the measure of DC = h ft
And measure of side BC = a ft
By applying tangent ratio in ΔBCD,
tan(56°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
= [tex]\frac{DC}{BC}[/tex]
= [tex]\frac{h}{a}[/tex]
h = a[tan(56°)] --------(1)
By applying tangent rule in ΔACD,
tan(22°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
tan(22°) = [tex]\frac{DC}{BC+AC}[/tex]
= [tex]\frac{h}{a+2400}[/tex]
h = (a + 2400)tan(22°) ------- (2)
Equating the values of h from equations (1) and (2),
a[tan(56°)] = (a + 2400)tan(22°)
a[tan(56°) - tan(22°)] = 2400[tan(22°)]
1.0785a = 968.6629
a = 899.085 ft
From equation (1),
h = 899.085[tan(56°)]
h = 1332.948
h ≈ 1332.95 ft
The time series component that exhibits a repeating pattern over successive periods, often one-year intervals is called
A. a cyclical component
B. a trend component.
C. seasonal component.
D. irregular component.
The time series component that exhibits a repeating pattern over successive periods, often one-year intervals, is called the seasonal component. It represents the regular and predictable variations in the data that occur due to seasonal factors, such as weather patterns, holidays, or annual events.
The seasonal component typically follows a consistent pattern, where the values tend to rise and fall in a similar manner within each season. For example, retail sales may experience higher values during the holiday season each year and lower values during other times.
Identifying and analyzing the seasonal component is crucial in many fields, including economics, finance, marketing, and forecasting. By understanding and accounting for the seasonal patterns, analysts and decision-makers can make more accurate predictions, adjust for seasonality in data, and develop strategies to optimize operations or sales during specific periods.
Methods such as seasonal decomposition or seasonal adjustment techniques are used to separate the seasonal component from other components, such as trend and irregular fluctuations, in order to better understand the underlying patterns and make informed decisions based on the data.
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what is the value (in binary) of al, ah, and eax gave the following hexadecimal values in the eax register? (1) 37e11449 eax =? (in the format of xxxx xxxx xxxx xxxx xxxx xxxx xxxx xxxx)
To convert the hexadecimal value of the EAX register (37e11449) into binary and obtain the values of AL, AH, and EAX, we can break it down as follows:
EAX: 0011 0111 1110 0001 0001 0100 0100 1001
AH: 0011 0111
AL: 0100 1001
So, the binary representation of AL, AH, and EAX is as follows:
EAX: 0011 0111 1110 0001 0001 0100 0100 1001
AH: 0011 0111
AL: 0100 1001
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Solve the system of equations x' 2x – 3y + 2 sin(2t) y' = x – 2y — 2 cos(2t)
Upon solving the given system of equations:
[tex]x(t) = (c_1 + e^{-t}) + (3/2) * (c_2 + e^{-t}) * cos(2t) + (1/2) * (c_1 + e^{-t}) * sin(2t),\\y(t) = (c_1 + e^{-t}) + (3/2) * (c_2 + e^{-t}) * sin(2t) - (1/4) * (c_1 + e^{-t}) * cos(2t)[/tex]
To solve the system of equations:
x' = 2x - 3y + 2sin(2t)
y' = x - 2y - 2cos(2t)
We can use the method of undetermined coefficients to find the particular solution. Assuming the particular solution takes the form:
[tex]x_p(t) = A sin(2t) + B cos(2t)\\y_p(t) = C sin(2t) + D cos(2t)[/tex]
Substituting these expressions into the original equations, we get:
2(A sin(2t) + B cos(2t)) - 3(C sin(2t) + D cos(2t)) + 2sin(2t) = 2sin(2t)
(A sin(2t) + B cos(2t)) - 2(C sin(2t) + D cos(2t)) - 2cos(2t) = cos(2t)
(2A - 3C + 2)sin(2t) + (2B - 3D)cos(2t) = 2sin(2t)
(A - 2C)sin(2t) + (B - 2D - 2)cos(2t) = cos(2t)
By comparing the coefficients of sine and cosine on both sides, we can equate them separately:
2A - 3C + 2 = 2
2B - 3D = 0
A - 2C = 0
B - 2D - 2 = 1
Solving these equations, we find:
A = 1
B = 3/2
C = 1/2
D = -1/4
So the particular solution is:
[tex]x_p(t)[/tex] = sin(2t) + (3/2)cos(2t)
[tex]y_p(t)[/tex] = (1/2)sin(2t) - (1/4)cos(2t)
To find the complementary solution, we solve the homogeneous system:
x' = 2x - 3y
y' = x - 2y
We can rewrite this system as a matrix equation:
X' = AX
where [tex]X = [x, y]^T[/tex] and
[tex]A = \left[\begin{array}{ccc}2&-3\\1&-2\end{array}\right][/tex]
The characteristic equation is:
det(A - λI) = 0, where I is the identity matrix. Solving this equation, we find the eigenvalues:
[tex]\lambda_1 = -1\\\lambda_2 = -1[/tex]
For each eigenvalue, we solve the corresponding eigenvector equation:
(A - λI)V = 0
For [tex]\lambda_1 = -1[/tex], we have:
[tex]\left[\begin{array}{ccc}3&-3\\1&-1\end{array}\right] * V_1 = 0[/tex]
Solving this system, we find the eigenvector:
[tex]V_1 = [1\ \ 1][/tex]
For [tex]\lambda_2 = -1[/tex], we have:
[tex]\left[\begin{array}{ccc}3&-3\\1&-1\end{array}\right] * V_2= 0[/tex]
Solving this system, we find the eigenvector:
[tex]V_2 = [3\ \ 1][/tex]
So the complementary solution is:
[tex]x_c(t) = c_1 * e^{-t} * [1\ \ 1]^T + c_2 * e^{-t} * [3\ \ 1]^T\\y_c(t) = c_1 * e^{-t} * [1\ \1]^T + c_2 * e^{-t} * [3\ \ 1]^T[/tex]
where
[tex]c_1\ and\ c_2[/tex] are arbitrary constants.
The general solution is the sum of the particular and complementary solutions:
[tex]x(t) = x_p(t) + x_c(t)\\y(t) = y_p(t) + y_c(t)[/tex]
Simplifying and combining terms, we get:
[tex]x(t) = (c_1 + e^{-t}) + (3/2) * (c_2 + e^{-t}) * cos(2t) + (1/2) * (c_1 + e^{-t}) * sin(2t)\\y(t) = (c_1 + e^{-t}) + (3/2) * (c_2 + e^{-t}) * sin(2t) - (1/4) * (c_1 + e^{-t}) * cos(2t)[/tex]
where [tex]c_1\ and\ c_2[/tex] are arbitrary constants.
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Let U=(1, 2, 3, 4, 5, 6, 7, 8), A={1, 2, 3, 6), and B=(3, 4, 5). Find the set An B. ANB=
The set A ∩ B = {3}
The intersection of sets, denoted as A ∩ B, refers to the set that contains elements that are common to both sets A and B. In this case, set A consists of the elements {1, 2, 3, 6}, and set B consists of the elements {3, 4, 5}.
The intersection of A and B, written as A ∩ B, represents the set of elements that appear in both sets simultaneously.
To find the intersection of sets A and B, we examine each element of set A and check if it is also present in set B. In this case, the element 3 is the only element that exists in both sets.
Therefore, the intersection of sets A and B is {3}.
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Clarissa has a budget of $1,200 a month to spend for rent and food. She has already spent $928 this month. Which inequality represents the amount she can still spend this month and remain within her budget?
plz plz
Which linear equation represents Catherine’s situation?
Answer:
y=1/9x+104
Step-by-step explanation:
I REALLY hope this helps
Sorry if im wrong
Best of luck!
HELP PLS
Jane needs 6 1/2 of fabric to make a dress. She has one piece of fabric that is 1 1/2 yards and another piece of fabric that is 3 1/4 yards. How many more yards of fabric does Jane need to make the dress?
Numerical methods for non-autonomous ODES [8 marks] Consider using the modified Euler formula Yn+1 = yn +hF(t, + $; Yn + F(tryn)), for some step size h > 0, to compute numerical solutions of the initial value problem dy F(t,y), y(to) = yo dt Use the modified Euler formula with step sizes h = 0.05 and h = 0.001 to compute approximate values of the solution to the following initial value problem dy 2t +ety, y(0) = 1, dt at the four time steps t = 0.1, 0.2, 0.3 and 0.4.
The approximate values of the solution to the given initial value problem at the four time steps t = 0.1, 0.2, 0.3 and 0.4 using the modified Euler formula with step sizes h = 0.05 and h = 0.001 are as follows:
Approximate solution using h = 0.05y(0.1) = 1.12116266y(0.2) = 1.25755476y(0.3) = 1.41728420y(0.4) = 1.59967883
Approximate solution using h = 0.001y(0.1) = 1.00372378y(0.2) = 1.00745820y(0.3) = 1.01119282y(0.4) = 1.01492766
The non-autonomous ordinary differential equation is given as:
dy/dt = f(t,y)......(1)
where f is a continuous function and is defined for all values of t and y. The numerical methods for non-autonomous ODEs are described below:
Modified Euler Formula (Improved Euler Method)This method is based on the same idea as Euler's method, but the derivative is evaluated at the midpoint of the interval instead of the initial point. Consider the initial value problem (IVP) dy/dt = f(t,y), y(to) = yo, and suppose that we want to approximate the solution at tn+1 = tn + h. Then, using the improved Euler's formula, we obtain the following approximation:
Yn+1 = yn + hF(tn + h/2, yn + hF(tn,yn)/2)......(2)
Using h = 0.05
Substituting h = 0.05 in equation (2), we get
Y1 = Y0 + 0.05(F(0.025,Y0+F(0,Y0)/2))
Y2 = Y1 + 0.05(F(0.075,Y1+F(0.05,Y1)/2))
Y3 = Y2 + 0.05(F(0.125,Y2+F(0.1,Y2)/2))
Y4 = Y3 + 0.05(F(0.175,Y3+F(0.15,Y3)/2))
Using h = 0.001
Substituting h = 0.001 in equation (2), we get
Y1 = Y0 + 0.001(F(0.0005,Y0+F(0,Y0)/2))
Y2 = Y1 + 0.001(F(0.0015,Y1+F(0.001,Y1)/2))
Y3 = Y2 + 0.001(F(0.0025,Y2+F(0.002,Y2)/2))
Y4 = Y3 + 0.001(F(0.0035,Y3+F(0.003,Y3)/2))
For the given IVP, f(t,y) = 2t + ety, y(0) = 1
So, substituting f(t,y) in equation (1), we get
dy/dt = 2t + ety.....(3)
Using the modified Euler formula (equation 2), we get
Using h = 0.05
Y1 = 1 + 0.05(2(0.025) + e(0.025)Y0) = 1.12116266
Y2 = 1.12116266 + 0.05(2(0.075) + e(0.075)Y1) = 1.25755476
Y3 = 1.25755476 + 0.05(2(0.125) + e(0.125)Y2) = 1.41728420
Y4 = 1.41728420 + 0.05(2(0.175) + e(0.175)Y3) = 1.59967883
Using h = 0.001
Y1 = 1 + 0.001(2(0.0005) + e(0.0005)Y0) = 1.00372378
Y2 = 1.00372378 + 0.001(2(0.0015) + e(0.0015)Y1) = 1.00745820
Y3 = 1.00745820 + 0.001(2(0.0025) + e(0.0025)Y2) = 1.01119282
Y4 = 1.01119282 + 0.001(2(0.0035) + e(0.0035)Y3) = 1.01492766
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Best method to solve y=-3x+4 y = 3x-2
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:
( 1 , 1 )
Equation Form:
x = 1 , y = 1
In ΔMNO, the measure of ∠O=90°, the measure of ∠M=13°, and OM = 9.6 feet. Find the length of MN to the nearest tenth of a foot.
Answer: the answer is 9.9
Step-by-step explanation:
Leo has 24 golf clubs. He has 3 golf bags. Each bag contains the same number of clubs. How many golf clubs are in each bag?
Answer:
8
Step-by-step explanation:
24/3 = 8
S is between D and P
Answer:
Question?
Step-by-step explanation:
What is the question?
Luba walked 5 miles in 1 1/2 hours. How fast did she walk in miles per hour?
A. 2/15 miles per hour
B. 9/10 miles per hour
C. 2 3/4 miles per hour
D. 3 1/3 miles per hour
Answer: 3 1/3 miles
Step-by-step explanation:
List the probability of each outcome in the sample space.
A cook at a restaurant is planning her food order. She expects to use 115 pounds of potatoes each day for 2 days. How many pounds of potatoes will she order
Answer:
just do 115 for 2 days come to 230
Answer:
230 pounds
Step-by-step explanation:
Since it is for 2 days, 115(2)
which gives u 230
from the sum of 3a^2-ab-2b^2 and 2a^2+5ab-3b^2 subtract a^2-3ab-4b^2
4a^2+7ab-b^2
Step-by-step explanation:
Add the first two equations together:
3a^2-ab-2b^2
+ 2a^2+5ab-3b^2
---------------------------
5a^2+4ab-5b^2
Subtract that answer from the remaining trinomial:
5a^2+4ab-5b^2
- a^2-3ab-4b^2
--------------------------
4a^2+7ab-b^2
Answer:
4a^2 + ab - 9b^2
Step-by-step explanation:
First, perform the indicated addition:
3a^2-ab-2b^2
2a^2+5ab-3b^2
------------------------
5a^2 + 4ab - 5b^2
From this sum we subtract a^2 - 3ab - 4b^2:
5a^2 + 4ab - 5b^2
-(a^2 - 3ab - 4b^2
------------------------------
4a^2 + ab - 9b^2
Caitlyn uses 47-centstamps and 8.cent stamps to mail a gift card to a friend. If the postage is $2.99, how many of each stamp did Caitlyn use?
Let the number of 47-cent stamps be x, and the number of 8-cent stamps be y. So, the cost of x 47-cent stamps will be $0.47x.The cost of y 8-cent stamps will be $0.08y.Therefore, $2.99 = $0.47x + $0.08y Multiply the entire equation by 100 to eliminate decimals. $299 = 47x + 8yEquation 1.47x + 8y = 299There are a couple of ways to solve the system of equations.
One method is substitution. We can rearrange equation 1 to solve for x:47x = 299 - 8y x = (299 - 8y)/47Substitute this expression for x into the first equation: 0.47(299 - 8y)/47 + 0.08y = 2.99 Simplifying the equation, we get: 299 - 8y + 4.76y = 299y = 299/0.76y = 393.4Hence, we cannot have fractional values of y; it must be a whole number, so Caitlyn can use 32 47-cent stamps and 15 8-cent stamps to mail a gift card to a friend.
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Help I’m being timed!
Rachel bought $517 worth of clothes 12% off. What is her total? Show work.
Answer:
454.96
Step-by-step explanation:
Suppose that the total price of worth clothes equal : x
Rachel bought them with 12% off which means , Rachel bought them :
( x ) - ( 12x / 100 )
As the question told the above equation must equal 517$ , So :
( 100x / 100 ) - ( 12x / 100 ) = 517
100x - 12x / 100 = 517
88x / 100 = 517
multiply sides by 100
88x = 51700
Divide sides by 88
x = 587.5 $
Thus the total price is 587.5 $ .
Why is it important to remember the definitions of binomial, continuous, discrete, interval, nominal, ordinal, and ratio variables?
It is important to remember the definitions of binomial, continuous, discrete, interval, nominal, ordinal, and ratio variables because these are different types of data which need different methods of analysis.
Nominal variables are variables used for identification or categorization. Nominal data cannot be ranked, ordered, or compared. The gender, ethnicity, religion, and hair color of an individual are all examples of nominal variables.
Ordinal variables are variables that can be ranked or ordered, but the difference between each point on the scale is not constant. For example, we could use an ordinal variable to describe the class ranks of students: 1st, 2nd, 3rd, and so on. While there is a clear order to the data, the difference between each rank is not necessarily the same.
Interval variables have equal distances between each value, and they also have a true zero point. For example, a temperature measurement is an interval variable because the difference between 20 degrees Celsius and 30 degrees Celsius is the same as the difference between 30 degrees Celsius and 40 degrees Celsius.
Ratio variables have equal intervals between each value and have a true zero point. For example, weight is a ratio variable because a weight of zero means that there is no weight.
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imagine that we rolled a fair, 6-sided die 1000 times.out of 1,000 rolls, how many times do you think the die would come up even (2,4, or
When we rolled a fair, 6-sided die 1000 times. out of 1,000 rolls, the actual number of even rolls may vary due to the inherent randomness of the process.
If we assume that the die is fair and unbiased, each of the six sides has an equal probability of landing face-up. Since we are interested in the number of times the die comes up even (2, 4, or 6), we need to consider that half of the possible outcomes are even numbers.
Out of the six possible outcomes (1, 2, 3, 4, 5, 6), three are even (2, 4, 6). Therefore, the probability of rolling an even number on a fair six-sided die is 3/6 or 1/2.
If we roll the die 1000 times, we can expect that the die would come up even approximately half of the time, as per the probability. Half of 1000 is 500, so we would expect the die to come up even around 500 times out of 1000 rolls.
It's important to note that this is an expected value based on probability, and in practice, the actual number of even rolls may vary due to the inherent randomness of the process.
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Buenos días personas!!!
Necesito ayuda con esta problema de Matemáticas. ¿Me ayudan por favor?
PROBLEMA: Calcula 5€ de descuento de 16,80€
SOLUCIÓN: no sé
Muchas gracias!!
Respuesta:
11,80 €
Explicación paso a paso:
Dado:
Importe o coste = 16,80 €
El valor de descuento sobre la cantidad = 5 €
El precio o costo con descuento sobre el monto entregado será; la diferencia entre la cantidad dada y el valor de descuento
Importe - valor de descuento
16,80 € - 5 €
= 11,80 €
a circle has a diameter of 18. the sector has a central angle of 30 degrees. what is the area of the sector?
Answer:
21.21
Step-by-step explanation:
Area of a circle is A = π r^2
Variables:
r = 18/2 = 9
θ = 30 deg
Find the area:
A = π r^2
A = π 9^2
A = 254.47
Find the area of the sector:
θ/360 * A
= 30/360 * 254.47
= 21.21
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Please mark brainliest if this helped!
You want to save $1,200 per quarter for 15 years towards the purchase of a trailer. You feel that you can earn 3.12% compounded quarterly for this period of time. If your first deposit is in 3 months, what is the most expensive trailer that you can purchase?
The most expensive trailer can be purchased for $39,505.41. To determine the most expensive trailer that can be purchased at an interest rate of 3.12% compounded quarterly, we calculate the future value of the savings.
The formula for compound interest is given by the equation:
A = [tex]P(1 + r/n)^(nt)[/tex]
Where:
A is the future value of the savings,
P is the quarterly deposit amount ($1,200),
r is the interest rate per compounding period (3.12%),
n is the number of compounding periods per year (quarterly, so n = 4),
and t is the number of years (15).
Plugging the values into the formula, we have:
A =[tex]1200(1 + 0.0312/4)^(4*15)[/tex]
Calculating this expression, we find the future value of the savings after 15 years to be approximately $39,505.41.
Therefore, the most expensive trailer that can be purchased is $39,505.41 or less, as that is the maximum amount that will be saved over the 15-year period.
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Give an angle of rotation centered at the origin that sends point P to a location whose (z,y) coordinates satisfy the given conditions. 1. z>0 and y < 0 2. z <0 and y> 0 3. y < 0 and z < 0 YA P x
The angles of rotation for the given conditions are:
1. π radians (180 degrees)
2. π/2 radians (90 degrees)
3. 3π/2 radians (270 degrees)
To find an angle of rotation centered at the origin that sends point P to a location with the given conditions, we can use trigonometric concepts.
1. For z > 0 and y < 0:
Since z > 0, the point P lies in the positive z-axis direction. To make y negative, we rotate the point counterclockwise by an angle of π radians (180 degrees).
2. For z < 0 and y > 0:
In this case, the point P lies in the positive y-axis direction. To make z negative, we rotate the point counterclockwise by an angle of π/2 radians (90 degrees).
3. For y < 0 and z < 0:
Here, the point P lies in the negative y-axis direction. To make both y and z negative, we rotate the point counterclockwise by an angle of 3π/2 radians (270 degrees).
In summary, the angles of rotation for the given conditions are:
1. π radians (180 degrees)
2. π/2 radians (90 degrees)
3. 3π/2 radians (270 degrees)
By rotating the point P by these angles, we can achieve the desired conditions for the (z, y) coordinates.
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