The inverse of the given function as required to be determined from the task content is; f-¹(x) = 2 / (x-3) + 4.
What is the inverse of the given function?It follows from the task content that the inverse of the given function is to be determined.
Given; f(x) = 2 / (x-4) +3
y = 2 / (x-4) + 3
y - 3 = 2 / (x-4)
x - 4 = 2 / (y-3)
x = 2 / (y-3) + 4.
f-¹(x) = 2 / (x-3) + 4.
Hence, the inverse of the given function as required is; f-¹(x) = 2 / (x-3) + 4.
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You read that a nationwide survey found that the preferences for ice cream (people had to
choose ONE) are: chocolate: 31%; vanilla: 25%; strawberry: 4%; cookie dough: 17%; and "other":
23%. You live in Berryville, where growing strawberries is a major industry. You suspect that
this may affect the distribution of preferences in your area. You get a sample of 500 Berryville
residents and have them make a choice.
a. State the null hypothesis in words. b. State the alternative hypothesis in words
Answer : Null Hypothesis (H0) The proportion of people choosing strawberry as their preferred flavor of ice cream in Berryville is equal to or greater than the national average of 4%.”
Alternative Hypothesis (Ha) The proportion of people choosing strawberry as their preferred flavor of ice cream in Berryville is significantly lower than the national average of 4%.”
Explanation :
a. Null Hypothesis (H0) is a statement which suggests that there is no significant difference between two populations or samples in the study. In this scenario, the null hypothesis can be stated as follows:“The proportion of people choosing strawberry as their preferred flavor of ice cream in Berryville is equal to or greater than the national average of 4%.”
b. Alternative Hypothesis (Ha) is a statement that counters the null hypothesis by suggesting that there is a significant difference between two populations or samples in the study. In this scenario, the alternative hypothesis can be stated as follows:“The proportion of people choosing strawberry as their preferred flavor of ice cream in Berryville is significantly lower than the national average of 4%.”
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x^2-8x+15
expresión racional
Answer:
x = 3, 5
Step-by-step explanation:
(x - 3)(x - 5) = 0
If the point (-4,-8) is on the graph of the function L(x) and the slope of the line is 15, what is the equation for the function L(x).
The equation of the function L(x) is given by y = 15x + 52.
To find the equation of the function L(x), given that the point (-4, -8) is on the graph of the function L(x) and the slope of the line is 15, we use the point-slope form of the equation of a line.
Let's assume that the equation of the function L(x) is of the form y = L(x).
The slope of the line, m = 15
The point (-4, -8) is on the line, which means that it satisfies the equation of the line: y - y1 = m(x - x1),
where (x1, y1) = (-4, -8)
Substituting m, x1 and y1 in the equation of the line, we get:
y - (-8) = 15(x - (-4))y + 8
= 15(x + 4)y + 8
= 15x + 60y
= 15x + 52
The equation of the function L(x) is y = 15x + 52.
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verify x+(y+z) =(x+y) +z, when x=-4/15, y=-4/5and z =17/8
Answer:
The equality is true
Step-by-step explanation:
x+(y+z)=(x+y)+z
x+(y+z)=(x+y)+zwhen we plug in -4/15 for x,-4/5 for y
x+(y+z)=(x+y)+zwhen we plug in -4/15 for x,-4/5 for yand 17/8 for z,we get
x+(y+z)=(x+y)+zwhen we plug in -4/15 for x,-4/5 for yand 17/8 for z,we get-4/15+(-4/5+17/8)=(-4/15+-4/5)+17/8
x+(y+z)=(x+y)+zwhen we plug in -4/15 for x,-4/5 for yand 17/8 for z,we get-4/15+(-4/5+17/8)=(-4/15+-4/5)+17/817/24=17/24
x+(y+z)=(x+y)+zwhen we plug in -4/15 for x,-4/5 for yand 17/8 for z,we get-4/15+(-4/5+17/8)=(-4/15+-4/5)+17/817/24=17/24so this equality is true
The equations of two lines are:
2x-y=4 and y=-2x+8.
What is the value of x in the solution for this system?
Answer:
x = 3
Step-by-step explanation:
2x - y = 4
y = -2x + 8
-y = -2x + 4
y = -2x + 8
0 = -4x + 12
-4x = -12
x = 3
ill give brainliest
Write and solve the equation for the following situation:
Angles 1 and 2 are complementary. The measure of angle 1 is 16° larger than the measure of angle 2.
A. x + 16 = 90 x = 74
B. x + (x - 16) = 90 x = 53
C. 2x + 16 = 90 x = 37
D. x + 16 = 180 x = 164
Poosjsjdiwjqjsnsjjdd
Answer:
poosjsjdwjqisnsjjdd
Step-by-step explanation:
Answer:
what's the question?
Data Mining. Data Mining cannot automatically find beneficial patterns for a business. True False
False. Data mining can automatically find beneficial patterns for a business by utilizing various techniques and algorithms to extract valuable insights and uncover hidden patterns from large datasets.
Data mining refers to the process of discovering patterns, relationships, and insights from large datasets. It involves using various techniques and algorithms to extract valuable information and knowledge from data. One of the primary goals of data mining is to uncover patterns that can be beneficial for businesses, such as identifying customer preferences, market trends, or predicting future outcomes.
Through automated analysis and pattern recognition, data mining can uncover hidden patterns and relationships that may not be apparent through traditional manual analysis. Therefore, data mining has the potential to automatically find beneficial patterns for businesses, making the statement "Data Mining cannot automatically find beneficial patterns for a business" false.
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The mean number of years of marriage preceding divorce is 7. The median mber of years is 6. Most divorces occur, however, either at 3 years of marriage 22 years. Which measure of central tendency best describes these data, and y?
The measure of central tendency that best describes the given data is the Mode.
The mode is the value that occurs most frequently in a data set. According to the given data, most divorces occur either at 3 years of marriage or 22 years. Hence, the mode best describes these data.
The mean is the average value of a data set, which is calculated by adding all the values and dividing by the number of values.
The median is the middle value of a data set when arranged in numerical order. In the given data, the mean number of years of marriage preceding divorce is 7, and the median number of years is 6. Since most divorces occur at either 3 years or 22 years, the mode best describes the given data.
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Which of these is an example of a continuous random variable?
O A. Number of breaths in a minute
O B. Number of employees at a company
O C. Scores in a bowling tournament
D. Length of a fish
Answer:
D Length of F I S H
Step-by-step explanation:
I chose the bowling one and got it wrong, but you can have the right answer
Answer: length of a fish
Step-by-step explanation: quizzzz
How many solutions does the equation 3(x-5)-7=-3x8 have
Answer:
not really good at maths. 15.33
Step-by-step explanation:
3(x-5)-7=3×8
3x-15-7=24
3x =24+15+7
3x = 46
Three will divide it's self to give you one and divide 46 to give you 15.333
(correct me if i'm wrong)
Three angles of a quadrilateral measure 45°, 95°, and 111°. What is the measure of the fourth angle of the quadrilateral?
Answer:
109°
Step-by-step explanation:
sum of angles of a quadrilateral=360°
45+95+111+fourth angle=360
fourth angle=360-251=109°
2+x5-3=(2+)x(5-3) is the equation true or not show work why
Bryce is testing whether school is more enjoyable when students are making high grades. He asked 100 students if they enjoyed school and whether their GPA was
above or below 3.0. He found that 33 of the 40 students with a GPA above 3.0 reported that they enjoyed school, and 5 of the 60 students with a GPA below 3.0
reported that they enjoyed school. What is the probability that a student with a GPA below 3.0 does not enjoy school?
let f(x) = x2/3 + 4x, then by the Fundamental Theorem of Calculus where F(x) = ∫f(x) then F'(x) = f(x) so we are looking for the function F whose derivative is x2/3 + 4x.
By the power rule, the function F (whose derivative is x2/3 + 4x) would have to be an x3 and an x2 function since the power rule reduces the exponent by 1. But notice that if it was just x3 and x2 then the derivative of that would be 3x2 and 2x while f(x) is x2/3 + 4x. That means F(x) must be composed of x3/9 and 2x2 so the derivative turns out right.
The Fundamental Theorem of Calculus also states that 0∫b f(x)dx = F(b) - F(0) therefore we can say 0∫b f(x)dx = (b3/9 + 2b2) - (03/9 + 2(0)2) which is just b3/9 + 2b2
By the Fundamental Theorem of Calculus where F(x) = ∫f(x) then F'(x) = f(x).
We are looking for the function F whose derivative is x^(2/3) + 4x.
By the power rule, the function F (whose derivative is x^(2/3) + 4x) would have to be an x³ and an x² function since the power rule reduces the exponent by 1.
The derivative of x^3 is 3x² and the derivative of 2x² is 4x. As F'(x) = x^(2/3) + 4x.
But notice that if it was just x^3 and x^2 then the derivative of that would be 3x² and 2x while f(x) is x^(2/3) + 4x.
That means F(x) must be composed of x^(2/3+1)/(2/3+1) and 2x^1/(1+1) so the derivative turns out right.Hence, the function F(x) = 3x^(5/3)/5 + 2x^2/2 = 3x^(5/3)/5 + x^2.
The Fundamental Theorem of Calculus also states that ∫(from 0 to b) f(x)dx = F(b) - F(0).
Therefore we can say 0∫b f(x)dx = (b^(3/9) + 2b²) - (0^(3/9) + 2(0)²) which is just b^(3/9) + 2b².
Hence, the answer is b^(3/9) + 2b².
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Question 10 of 10
In a unit circle, 0 = 3pi/2 radians. What is the terminal point?
A. (0,1)
B. (1,0)
C. (-1,0)
D. (0, -1)
The terminal point is (0, -1) if in a unit circle the angle is 3π/2 option (D) is correct.
What is a circle?It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)
We have:
In a unit circle, θ = 3π/2 radians.
r = 1
Angle θ = 3π/2
The terminal point is (rcosθ, rsinθ)
= (cos3π/2, sin3π/2)
= (0, -1)
Thus, the terminal point is (0, -1) if in a unit circle the angle is 3π/2 option (D) is correct.
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Let X = {a, b, c) and A = {4, X, {a}, {b,c}}, Ag = {4, X, {b}, {a, c}} be two o-algebras over X. Then a. An.A, is not a o-algebra over X. b. An A, is a o-algebra over X and A, UA, is not a g-algebra over X. c. A, UA, is a o-algebra over X. d. None of the above. O O b. e. O d. a Let (X, 4) be a measurable space and let f, g: X → R be two mea- surable functions. Which of the following statements is false? a. 52 . 108>1] + \S1g
An A is a -algebra over X and A ∪ Ag is not a -algebra over X.
In this case, let's analyze the properties of the sets in question:
X = {a, b, c}
A = {4, X, {a}, {b, c}}
Ag = {4, X, {b}, {a, c}}
To determine if An A is a -algebra over X, we need to check if it satisfies the three conditions of a -algebra:
1. X ∈ An A: In this case, X = {a, b, c} ∈ An A, since X is a subset of itself.
2. An A is closed under complementation: For any set E ∈ An A, we need to ensure that its complement, X \ E, is also in An A. Let's check the sets in A:
- {4} ∈ An A: The complement is X \ {4} = {a, b, c}, which is not in An A.
- X ∈ An A: The complement is X \ X = ∅, which is in An A.
- {a} ∈ An A: The complement is X \ {a} = {b, c}, which is in An A.
- {b, c} ∈ An A: The complement is X \ {b, c} = {a}, which is in An A.
Since not all sets in A have complements in An A, An A is not closed under complementation and therefore not a -algebra over X.
Now let's analyze A ∪ Ag to determine if it is a -algebra over X:
1. X ∈ A ∪ Ag: Since X is a subset of itself, X ∈ A ∪ Ag.
2. A ∪ Ag is closed under complementation: For any set E ∈ A ∪ Ag, we need to ensure that its complement, X \ E, is also in A ∪ Ag. Let's check the sets in A and Ag:
- {4} ∈ A ∪ Ag: The complement is X \ {4} = {a, b, c}, which is in A ∪ Ag.
- X ∈ A ∪ Ag: The complement is X \ X = ∅, which is in A ∪ Ag.
- {a} ∈ A ∪ Ag: The complement is X \ {a} = {b, c}, which is in A ∪ Ag.
- {b, c} ∈ A ∪ Ag: The complement is X \ {b, c} = {a}, which is in A ∪ Ag.
Since all sets in A and Ag have complements in A ∪ Ag, A ∪ Ag is closed under complementation and is a -algebra over X.
In conclusion, option b is the correct answer: An A is a -algebra over X, and A ∪ Ag is not a -algebra over X.
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Help fastttt someone pls and no files will block you
You spin the spinner and flip a coin. Find the probability of the compound event. The probability of spinning a number less than 3 and flipping tails is
Answer:
1/5
Step-by-step explanation
The spinner has the numbers 1-5 and they want the numbers less than 3 there a 2/5 then multiply the denominator by 1/2 thin divide it by 2
2/10 divided by 2 = 1/5
.
When you submit this form, the owner will see your name and email address.
1
Problem 1.
The force system shown is to be replaced with an equivalent system consisting of a horizontal force applied at b and a vertical force applied to the horizontal leg.
1.1. What is the magnitude of the vertical force, in Newton, applied to the horizontal leg? (rounded-off to the nearest whole number; do not write the unit)
The magnitude of the vertical force applied to the horizontal leg in the equivalent force system.
To determine the magnitude of the vertical force applied to the horizontal leg, we need to find the vertical component of the given force system. Looking at the diagram, we observe that the force system consists of a vertical force at point A and a horizontal force at point B. We can use trigonometry to find the vertical component of the force at point A.
Let's denote the magnitude of the force at point A as F_A and the angle it makes with the horizontal leg as θ. The vertical component of the force can be calculated using the formula: Vertical component = F_A * sin(θ).
Since the vertical component of the force should be equal to the force we are trying to find, we can set up the equation: Vertical component = F_vertical.
Now, we can substitute the given values into the equation and solve for F_vertical. Once we have the value, we can round it off to the nearest whole number, as instructed.
Please note that without specific values or angles provided in the problem statement or accompanying diagram, it is not possible to provide a precise numerical answer.
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What is a scatterplot?
a graph showing the relationship between two sets of data
a relationship between two variables
a data point that does not fit the general pattern in the data
a group of data points around a value
Answer:
a graph showing the relationship between two sets of data
Step-by-step explanation:
Use Cramer's vale to solve the following system of equation: J2X1 - X2-3 = 0 ./) X1 + 3X2-7= 0 3X1 + 2X2-1=0 4X1 + 5X2 = 14
Using Cramer's rule the solutions to the system of equations are:
X1 = 21 / (-J2 - 9)
X2 = -12 / (-J2 - 9)
Using Cramer's rule, we can solve the system of equations:
J2X1 - X2 - 3 = 0
X1 + 3X2 - 7 = 0
3X1 + 2X2 - 1 = 0
4X1 + 5X2 = 14
The values of X1 and X2, we'll calculate the determinants.
Let D be the determinant of the coefficient matrix:
D = |J2 -1 0| = J2(-1) - 3(3) = -J2 - 9
D1 is the determinant obtained by replacing the first column of the coefficient matrix with the constants:
D1 = |0 -1 0| = 0(-1) - (-7)(3) = 21
D2 is the determinant obtained by replacing the second column of the coefficient matrix with the constants:
D2 = |J2 0 0| = J2(0) - 3(4) = -12
Now, we can calculate the values of X1 and X2 using the determinants:
X1 = D1 / D = 21 / (-J2 - 9)
X2 = D2 / D = -12 / (-J2 - 9)
Therefore, the solutions to the system of equations are:
X1 = 21 / (-J2 - 9)
X2 = -12 / (-J2 - 9)
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Find the surface area.
24 in.
40 in.
10 in.
26 in.
NEED HELP ASAP!!
Answer:
200
Step-by-step explanation:
Carissa’s gerbil has a tail that is the same length as its body length. Its tail is 102 millimeters. How long is her gerbil in centimeters?
Answer:
10.2 cm
Step-by-step explanation:
Divide the tail length by 10
HoPe ThIs HeLpEd youuu! lol :)
Answer: 10.2 cm
Hope this helped! :D
triangle abc with vertices at a(−1, −1), b(1, 1), c(0, 1) is dilated to create triangle a′b′c′ with vertices at a′(−3, −3), b′(3, 3), c′(0, 3). determine the scale factor used.
1] The scale factor used to dilate triangle ABC to create triangle A'B'C' is
2] To determine the scale factor used, we can compare the corresponding side lengths of the original triangle ABC and the dilated triangle A'B'C'.
Using the distance formula, we can calculate the lengths of the sides:
Side AB:
For triangle ABC: AB = √[(1 - (-1))^2 + (1 - (-1))^2] = √8 = 2√2
For triangle A'B'C': A'B' = √[(3 - (-3))^2 + (3 - (-3))^2] = √72 = 6√2
Side AC:
For triangle ABC: AC = √[(0 - (-1))^2 + (1 - (-1))^2] = √5
For triangle A'B'C': A'C' = √[(0 - (-3))^2 + (3 - (-3))^2] = √72 = 6√2
Side BC:
For triangle ABC: BC = √[(1 - 0)^2 + (1 - 1)^2] = 1
For triangle A'B'C': B'C' = √[(3 - 0)^2 + (3 - 3)^2] = 3
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The box part of the box plot contains all the values between whích numbers?
25
30
35
40
45
50
between 27 and 36 and between 37 and 40
between 32 and 36
between 32 and 37
between 27 and 32 and between 37 and 40
Answer:
between 32 and 37
Step-by-step explanation:
that's my answer
When light arrives and leaves a reflecting surface the angle with the line perpendicular to the surface is what?
Answer:
the angle of reflection is the angle between the reflected wave and the "normal" (the perpendicular line to the reflecting surface).
Step-by-step explanation:
Answer:
The angle which the light leaves or bounces off a surface is angle of reflection.
Step-by-step explanation:
has two types of light rays. The incoming ray and the outgoing, or reflected, ray. The angle between the incident ray and an imaginary perpendicular line drawn to the surface of the mirror is called the angle of incidence.
Find the surface area.
Answer:
600ft^2
Step-by-step explanation:
Step One: There are two identical faces of each, which means we can multiply each face times two to make it faster. The first face will be 2(4*12)=96. I muliplied by two, because, once again, there are two faces of each.
Step Two: The next is 2(18*12)=432 and lastly, 2(4*18)= 72
Step Three: We just have to add it all up: 72+96+432= 600ft^2
the annual
The present population of
of a town is 66550. If the annual population growth
rate is 10% what was
the Population growth of town 3 years ago ?
Answer:
Population (t=-3)= 50,000
Step-by-step explanation:
Giving the following information:
Annual growth rate (g)= 10%
Number of periods (n)= 3 years
Present Value (PV)= 66,550 people
To calculate the population three years ago, we need to use the following formula:
Population (t=-3)= PV / (1 + g)^n
Population (t=-3)= 66,550 / (1.1^3)
Population (t=-3)= 50,000
Please help I will give 20 points if right
Answer:
for my own advice you should add those numbers then that Square unit if she's there it's 90° so you should find the area of the polygon which that thing when you come this sides you get the number of the polygon with your plus then by those numbers then he write his equals to 90 degree then you'll get your answer thank you