A reflection of a point (x, y) through the y-axis is given by the transformation:
\((x,y)\rightarrow(x^{\prime},y^{\prime})=(-x,y)\text{.}\)So the reflection of the point (x, y) = (-3, -7) gives the point:
\((x,y)=(-3,-7)\rightarrow(x^{\prime},y^{\prime})=(+3,-7)\text{.}\)So we must select the graph with the point (x', y') = (3, -7).
Answer
4. Sketch the graph of F(x) = 1 +x/x²-1
The graph of the function is attached below.
What is the graph of a function?The graph of a function shows the correlation between its inputs (represented by x-values) and matching outputs (represented by y-values). It is a means of illustrating the actions and traits of a function.
Plotting points that conform to the function's rule in a cartesian coordinate system results in the graph of the function. An input-output pair for the function is represented by each point on the graph. The point's x-coordinate represents the input value, while its y-coordinate represents the output value.
We can further use the graph to determine the range, domain, y-intercept, x-intercept and so many others from a graph.
In the given problem;
The graph of the function f(x) = 1 + x / x² - 1 is attached below;
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667676767667676767676766676767676766767676766776767676767676767676767676767676767676 x 6676767676766767676767676767676767676767676767676767676767676767676676767676767676767
Answer:
y^6
hope it helps you
Step-by-step explanation:
brainliest plus
Write the word sentence as an inequality. Then solve the inequality. 3/4 is greater than or equal to a number k divided by -8
Answer:
\(\frac{3}{4} \geq \frac{k}{-8}\) k ≥ -6Step-by-step explanation:
Re-arrange: \(\frac{3}{4} \geq \frac{k}{-8}\) Multiply each side by -8 to cancel out the -8 under k. It should now look like this: k ≥ -6I hope this helps!
can someone help me out and graph shape
sqrt( cos( x)) *cos( 300* x)+ sqrt( abs( x)) - 9.3* ( 4- x^2) ^ 0.01
happy v-day ;>
Answer:
Wolfram alpha used..........
Answer:
Step-by-step explanation:
The sum of two integers is -186. The larger integer is 14 less than
three times the smaller number. Find the two integers.
The values of the two integers are -43 and -143.
What are the values of the two integers?Let the value of the smaller integer be "x".
Smaller integer = xLarger integer = 3x - 14Sum of the integers = -186Since, the sum of two integers is -186.
Smaller integer + Larger integer = -186
x + ( 3x - 14 ) = -186
Solve for x
x + 3x - 14 = -186
4x - 14 = -186
4x = -186 + 14
4x = -172
x = -172/4
x = -43
Hence;
The smaller integer = x = -43
The largere integer = 3x - 14 = 3(-43) - 14 = -143.
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1. how many blocks would be in the 6th pattern2. how many blocks would be in the 77th pattern3. what pattern number would have 247 blocks4. what is the linear equation for this pattern5. where do you see your slope in the pattern6. where do you see your y-intercept in the pattern
We have the following:
The first thing is to calculate the equation for the pattern, which would be the following
\(\begin{gathered} a_n=a_1+d\cdot(n-1) \\ a_1=4 \\ d=3 \\ \text{ replacing} \\ a_n=4+3\cdot(n-1) \end{gathered}\)Therefore:
1. how many blocks would be in the 6th pattern
\(\begin{gathered} a_6=4+3(6-1) \\ a_6=19 \end{gathered}\)2. how many blocks would be in the 77th pattern
\(\begin{gathered} a_{77}=4+3(77-1) \\ a_{77}=232 \end{gathered}\)3. what pattern number would have 247 blocks
\(\begin{gathered} 247=4+3(n-1) \\ 3(n-1)=247-4 \\ n-1=\frac{243}{3} \\ n=81+1 \\ n=82 \end{gathered}\)4. what is the linear equation for this pattern
\(\begin{gathered} y=4+3\cdot(x-1) \\ y-4=3(x-1) \\ or \\ y=3x+1 \end{gathered}\)5. where do you see your slope in the pattern
\(\begin{gathered} y-y_1=m\cdot(x-x_1) \\ \text{ where m is the slope, therefore},\text{ in this case:} \\ m=3 \end{gathered}\)6. where do you see your y-intercept in the pattern
\(\begin{gathered} y=4+3x-3 \\ y=3x+1 \\ y=mx+b \\ \text{where b is the y-intercept, therefore} \\ b=1 \end{gathered}\)the sum of the n eigenvalues of a is the same as the trace of a (that is, the sum of the diagonal elements of a proof
The sum of the eigenvalues of A is equal to the trace of A, and we have proved the desired result.
Let A be an n x n square matrix with eigenvalues λ1, λ2, ..., λn.
The trace of A is defined as the sum of the diagonal elements of A, i.e.,
tr(A) = a11 + a22 + ... + ann
where aij is the element of A in the ith row and jth column.
Now, consider the characteristic equation of A, which is given by
det(A - λI) = 0
where I is the n x n identity matrix.
Expanding the determinant, we get
(-1)^n λ^n + (-1)^(n-1) tr(A) λ^(n-1) + ... + det(A) = 0
By Vieta's formulas, the sum of the roots of this polynomial equation is equal to the negative of the coefficient of the (n-1)th power of λ divided by the coefficient of the nth power of λ.
Thus, the sum of the eigenvalues of A is given by
λ1 + λ2 + ... + λn = -(-1)^(n-1) tr(A)/(-1)^n
= tr(A)
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Please help I’m stuck and keep getting the wrong answer
The time spent higher than 26 meters above the ground is 0.42 minutes. Answer: 0.42
A Ferris wheel is 30 meters in diameter and boarded from a platform that is 4 meters above the ground.
The six o'clock position on the Ferris wheel is level with the loading platform.
The wheel completes 1 full revolution in 2 minutes.
We have to find how many minutes of the ride are spent higher than 26 meters above the ground.
So, let's start with some given data,Consider the height of a person at the six o'clock position = 4 meters
So, the height of a person at the highest point = 4 + 15 = 19 meters (since the diameter is 30 meters, the radius will be 15 meters)
Also, the height of a person at the lowest point = 4 - 15 = -11 meters
Therefore, the Ferris wheel completes one cycle from the lowest point to the highest point and back to the lowest point.
So, the total distance travelled will be = 19 + 11 = 30 meters.
Also, we are given that the wheel completes 1 full revolution in 2 minutes.
We need to calculate the time spent higher than 26 meters above the ground.
So, the angle between the 6 o'clock position and 2 o'clock position will be equal to the angle between the 6 o'clock position and the highest point.
This angle can be calculated as follows:
Angle = Distance travelled by the Ferris wheel / Circumference of the Ferris wheel * 360 degrees
Angle = 30 / (pi * 30) * 360 degrees
Angle = 360 degrees / pi
= 114.59 degrees
So, the total angle between the 6 o'clock position and the highest point is 114.59 degrees.
Now, we need to find out how much time is spent at an angle greater than 114.59 degrees.
This can be calculated as follows:
Time = (Angle greater than 114.59 degrees / Total angle of the Ferris wheel) * Total time taken
Time = (180 - 114.59) / 360 * 2 minutes
Time = 0.42 minutes
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Complete the table below to solve the equation 2.5x − 10.5 = 64(0.5x)
Pls help!! I need help
Answer:
Step-by-step explanation:
I'm going to guess that the question is "How do you represent the distance between the left and right sides?"
The red dots are closed which means that the end points are included.
5 ≤ x ≤ 8
The length is 8 - 5 = 3
Each year, ratings are compiled concerning the performance of new cars during the first 90 days of use. Suppose that the cars have been categorized according to whether a car needs warranty related repair (yes or no) and the country in which the company manufacturing a car is based ( in some country X or not in country X). Based on the data collected, the probability that the new car needs a warranty repair is .08, the probability that the car is manufactured by a company based in country X is .60, and the probability that the new car needs a warranty repair and was manufactured by a company based in country X is .025. Use this information to answer (a) Through (D)
a.)Suppose you know that a company based in country X manufactured a particular car. What is the probability that the car needs warranty repair?
b.)Suppose you know that a company based in country X did not manufacture a particular car. What is the probability that the car needs warranty repair?
c.)Are need for warranty repair and location of the company manufacturing the car independent?
Yes or NO or Not enough information
Answer:
1. 0.0417
2. 0.1375
3. no
Step-by-step explanation:
lets define:
A as the probability that a car needs a warranty repair.
B as probability taht the car is manufactured by a company that is based in country X
we have the
prob(A) = 0.08
prob(B) = 0.60
prob(A∩B) = 0.025
a. we are to calculate the probability taht a car manufactured in country X needs a warranty repair.
= p(AIB) =
\(P(\frac{AnB}{p(B)}) \\\)
= 0.025/0.60
= 0.0417
2. Probability that car needs warranty repair given it was not manufactured in country X.
P(AIB')
= p(A∩B')/P(B')
= 0.08-0.025/1-0.60
= 0.055/0.40
= 0.1375
3. no, Need for warranty repair and location are not independent
The probability that the car needs warranty repair is 0.0417, the probability that the car needs warranty repair was not manufactured in company X is 0.1375 and no, there is no need for warranty repair and the location of the company manufacturing the car is not independent.
Given :
Ratings are compiled concerning the performance of new cars during the first 90 days of use.Based on the data collected, the probability that the new car needs a warranty repair is .08.The probability that the car is manufactured by a company based in country X is .60.The probability that the new car needs a warranty repair and was manufactured by a company based in country X is .025.a) The probability that the car needs warranty repair is given by:
\(\rm P(A|B) = \dfrac{ P(A\cap B)}{P(B)}\)
\(\rm P(A|B) = \dfrac{0.025}{0.60}\)
P(A|B) = 0.0417
b) The probability that the car needs warranty repair was not manufactured in company X is given by:
\(\rm P(A|B') = \dfrac{ P(A\cap B')}{P(B')}\)
\(\rm P(A|B') = \dfrac{0.08-0.025}{1-0.60}\)
P(A|B') = 0.1375
c) No, there is no need for warranty repair and the location of the company manufacturing the car is not independent.
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1-Decide whether each set of events is independent or dependent. Explain your answer.
picking a black checker from a bag of 9 black checkers and 6 red checkers, replacing it, and picking a red checker
Answer:
Step-by-step explanation:
9 is dependent 6 is independent
Un hombre posee 50 acciones con un valor de 30 cada una , la corporación declaró un dividendo del 6% pagadero en acciones ¿cuantas acciones poseía entonces?
el hombre tenía 50 acciones.
La pregunta es, ¿cuántas acciones poseía el hombre si declararon un dividendo del 6% pagadero en acciones y tenía 50 acciones con un valor de $30 cada una?Para calcular cuántas acciones tenía el hombre,
se puede utilizar la siguiente fórmula:Dividendos = Número de acciones * Precio por acción * Tasa de dividendosDe esta fórmula,
podemos despejar el número de acciones. Así, tenemos:Número de acciones = Dividendos / (Precio por acción * Tasa de dividendos)De los datos del problema, se sabe que el hombre tenía 50 acciones con un valor de $30 cada una.
Además, la corporación declaró un dividendo del 6% pagadero en acciones. Por lo tanto, la tasa de dividendos es del 6%.Para resolver el problema, primero debemos calcular el valor del dividendo que se pagará en acciones.
Para ello, se debe multiplicar el valor de las acciones del hombre por la tasa de dividendos.
Así, tenemos:Valor del dividendo = 50 acciones * $30 * 0.06 = $90El valor del dividendo es de $90. Ahora, podemos sustituir este valor en la fórmula para calcular el número de acciones que tenía el hombre.
Así, tenemos:Número de acciones = $90 / ($30 * 0.06) = 50 accionesPor lo tanto,
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The sum of twice a number and four times a 2nd number is no more than 15.
The most appropriate choice for Linear Inequation will be given by-
\(x =2, y =1\) and \(x = 1\), \(y=2\) satisfies the inequality
Other possibilities are also there
What is Linear Inequation?
Linear Inequation involves comparision between two values with the help of <, >, \(\leq\), \(\geq\)
Here,
Let the first number be \(x\) and second number be \(y\)
The sum of twice of \(x\) and four times \(y\) is no more than 15
so,
\(2x + 4y < 15\)
There are many possibilities
1) \(x =2, y=1\)
\(2 \times 2 + 4 \times 1 =5 < 15\)
2) \(x =1, y=2\)
\(2 \times 1 + 4\times 2 =10 < 15\)
Other possibilities are also there.
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between which two numbers would you place √40 on a number line
Answer:
between 6 and 7
Step-by-step explanation:
The square root of 40 is about 6.32, so this number belongs between 6 and 7 on a number line.
Pleaseeee help!!!!!!!!!!! I'll see if I could give you Brainliest
Answer:
6/4 or 1 1/4
Step-by-step explanation:
1/4 times 6 because the question is asking for the recipe to be made 6 times. So 1/4 times 6 or 1/4 time 6/1 is 6/4 or 1 1/4.
Answer:
2/3 cups
Step-by-step explanation:
if we put all ingredients toghether will have
1/4+2/3+1 and 1/3=1/4+1 and 2/3+1/3=1/4+ 2= 2cups and 1/4 or 2.25 cups
So 2.25 cups is 1 batch of dressing
6 cups is x batches of dressing
cross multiply x=6*1/2.25= 6/2.25
so insted of 1/4 vineger will need (1/4)(6/2.25)=6/9=2/3 cups of vinegar
Does anyone know how to find the area?
Answer:49
Step-by-step explanation:
A = \(\frac{3+11}{2}\) · 7
= \(\frac{14}{2} \\\) · 7
= 7·7
=49
there are 25 student in a class. five of then scored A and 10 of them score B while the other scored C for Biostatistics. if a student is selected at random, calculate the probability that the selected student scored A or B in biostastics.
There is a 60% probability that a randomly selected student from the class scored either an A or B in Biostatistics.
To calculate the probability that a randomly selected student scored either an A or B in Biostatistics, we need to consider the number of students who scored A and B and divide it by the total number of students in the class.
Given that there are 25 students in the class, 5 of them scored an A and 10 scored a B. To calculate the probability, we add the number of students who scored A (5) to the number of students who scored B (10):
Number of students who scored A or B = Number of students who scored A + Number of students who scored B = 5 + 10 = 15.
Therefore, the probability that a randomly selected student scored A or B
in Biostatistics is:
Probability = Number of students who scored A or B / Total number of students = 15 / 25 = 0.6 or 60%.
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Find the exact values of the six trigonometric functions at “a” given cos(2a) = - 4/5 and a is
in the 2nd quadrant.
If a is in the second quadrant, then cos(a) < 0 and sin(a) > 0.
Recall the double angle identity for cosine:
cos(2a) = 2 cos²(a) - 1 = 1 - 2 sin²(a)
It follows that
2 cos²(a) - 1 = -4/5 ==> cos²(a) = 1/10 ==> cos(a) = -1/√10
1 - 2 sin²(a) = -4/5 ==> sin²(a) = 9/10 ==> sin(a) = 3/√10
Then we find
1/cos(a) = sec(a) = -√10
1/sin(a) = csc(a) = √10/3
sin(a)/cos(a) = tan(a) = -3
1/tan(a) = cot(a) = -1/3
The highway from Stonestown to Budley passes through Henton, as shown in the map below.
The actual distance along this highway from Stonestown to Budley is 92 miles. What is the scale of the map?
A. 1 inch = 25 miles
B. 1 inch = 4 miles
C. 1 inch = 23 miles
D. 1 inch = 43 mile
Answer:
C. 1 inch = 23 miles
Step-by-step explanation:
To find the scale, add the scale distances shown first.
2.25 + 1.75 = 4 inches on the map
Now, divide the actual mileage (92 miles) by how long it was on the map.
92 / 4
92 = 80 + 12
92/4 = (80/4) + (12/4)
92/4 = 20 + 3
92/4 = 23 miles
That means 1 inch on this map is actually 23 miles. So the scale of the map is 1 inch = 23 miles, which is C.
Helppppp please!!!!!
Answer:
the pattern is they all end at the same length
Step-by-step explanation:
Hello, please help me with this question. Thanks.
Answer:
a) FKR and F'KR form supplementary angles
b) FK = F'K
EF = E'F'
(They are reflected by mirror)
15. You have $200 in a savings account. Each week for 8 weeks, you take
out $18 for spending money. How much money is in your account at
the end of 8 weeks?
Answer:
$66
Step-by-step explanation:
T=200-18W
where W is number of weeks
T=200-18(8)
T=200-144
T=66
I will give you a brainliest if correct
Part A;
(6)^2x = 6^0, after opening the brackets and any number power zero equals to one.
then,
aⁿ = a^b , in exponential form
n = b
then
2x = 0
x = 0.
Part B,
since any number power zero equals to 1.
6^0 = 1
then,
1^x = 1^1
from, aⁿ = a^b
n = b
then,
x = 1.
or,
1 = 6^0
then,
(6^0)^x = 6^0
6^0x = 6^0
equating,
0x = 0
x = 0.
El mayor es Novecientos mil cuatrocientos ochenta y nueve , y cuarenta mil dos
El número "Novecientos mil cuatrocientos ochenta y nueve" se representa como 900,489 en notación numérica.
Por otro lado, el número "cuarenta mil dos" se representa como 40,002.
Si estamos buscando determinar cuál de estos dos números es mayor, podemos comparar las cifras en cada posición.
Comenzando desde la izquierda, el primer dígito de 900,489 es 9, mientras que el primer dígito de 40,002 es 4.
Dado que 9 es mayor que 4, podemos concluir que 900,489 es mayor que 40,002.
En general, al comparar números, se debe observar cada posición en orden de mayor a menor importancia.
Esto significa que el primer dígito a la izquierda es el más significativo y tiene más peso en el valor total del número.
Si los dígitos en la posición más significativa son iguales, se debe pasar a la siguiente posición hasta que se encuentre una diferencia.
En este caso, dado que el primer dígito de 900,489 es mayor que el primer dígito de 40,002, no es necesario comparar los dígitos en posiciones posteriores.
Por lo tanto, podemos concluir que el número "Novecientos mil cuatrocientos ochenta y nueve" (900,489) es mayor que "cuarenta mil dos" (40,002).
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Please look at the photo for the question. Thank you!
The zeros with each multiplicity are given as follows:
Multiplicity one: x = 6.Multiplicity two: x = 11.Multiplicity three: x = -6 and x = -5.How to obtain the multiplicities?The factor theorem is used to define the functions, which states that the function is defined as a product of it's linear factors, if x = a is a root, then x - a is a linear factor of the function.
Considering the linear factors of the function in this problem, the zeros are given as follows:
(x + 6)³ -> zero at x = -6 with multiplicity of 3.(x - 11)² -> zero at x = 11 with multiplicity of 2.x - 6 -> zero at x = 6 with multiplicity of 1.(x + 5)³ -> zero at x = -5 with multiplicity of 3.More can be learned about the Factor Theorem at brainly.com/question/24729294
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Gravity acceleration at the Earth surface is 9.81 m/s². What is the acceleration in inches/s² (rounded to the nearest tenth) ?
Rounded to the nearest tenth, the acceleration in inches per second squared is approximately 15222.8 in/s².
To convert the acceleration from meters per second squared (m/s²) to inches per second squared (in/s²), we need to use the conversion factor between the two units.
1 meter is equal to 39.37 inches.
To convert the units, we can set up the following conversion factor:
1 m/s² = (39.37 in/m)^2 = 1550.0031 in/s²
Now, we can multiply the given acceleration in m/s² by the conversion factor to obtain the acceleration in in/s²:
Acceleration in in/s² = 9.81 m/s² * 1550.0031 in/s²
Acceleration in in/s² ≈ 15222.7568 in/s²
Rounded to the nearest tenth, the acceleration in inches per second squared is approximately 15222.8 in/s².
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just explain how this is "Reflexive Property" (30 points)!!
The Reflexive Property is a property of equality that states that anything is equal to itself. This property is true for numbers, shapes, angles, and more.
In the context of geometry, the Reflexive Property of Congruence states that any geometric figure is congruent to itself. This includes angles, segments, triangles, and other polygons.
So, when you see "<J ≅ <J", it's saying that angle J is congruent to angle J, which is an application of the Reflexive Property. In other words, any angle is congruent (equal in measure) to itself.
The cost of 3 ibs of turkey is $9.81. What is the cost per pound for the turkey?
PLS HELP ASAP
(50 POINTS)
What is the range of the relation {(1, 2), (2, 4), (3, 2), (4, 6)}?
A) {2,4}
B) {1, 2, 3, 4)
C) {2, 4, 6}
D) {1, 2, 3, 4, 6}
Answer:
a
Step-by-step explanation:
the answer is a
Answer:
C
Step-by-step explanation: