Answer:
It is very difficult to know because you did not include the function g(x), you only gave us f(x).
Given two lists of ordered pairs [x,f(x)] and [x,g(x)]. If for every ordered pair on the f(x) list the reverse is on the g(x) list the functions are inverses.
f(0) = 5 so for (0,5) on the f(x) list then (5,0) must be on the g(x) list
f(1) = 7 so for (1,7) on the f(x) list then (7,1) must be on the g(x) list
f(2) = 9 so for (2,9) on the f(x) list then (9,2) must be on the g(x) list
So even though you didn’t list g(x), g(x) = (x/2) - 5/2
Well, we know that if we have an ordered pair of points (a,b) that satisfy a function y=f(x), then the inverse function will necessarily have a set of points (b,a).
We can choose any set of point that satisfy our first function f(x). x=3 => f(3)=11 so our set of points will be (3,11). Now if g(x) is and inverse function of f(x), when we calculate g(11) it should be equal to 3. Let's see:
g(11) = (11-5)/2 = 3. It works.
We have proven that f(x) and g(x) are the inverses of each other.
the surface of a solid is 50,682,000 square milliliters. Is the surface area greater than 50 square meters
Answer:
Step-by-step explanation:
One square millimeter converted into square meter equals = 0.0000010 m2 , sq m
1 mm2 , sq mm = 0.0000010 m2 , sq m
Answer:
I think 50,682,000 square milliliters
Step-by-step explanation:
A pedra a ser utilizada é vendida em pedaços retangulares, cada um medindo 0,2 m de comprimento por 0,3 m de largura. Se a piscina tem 4,2 m de comprimento por 3 m de largura, o menor número de blocos de pedras a ser utilizado é: Valor da questão: 1 ponto a) 192. B) 168. C) 126. D) 108.
how many ounces of a 11% alcohol solution and a 23% alcohol solution must be combined to obtain 36 ounces of a 14% solution?
we need 27 ounces of the 11% alcohol solution and 9 ounces of the 23% alcohol solution to obtain 36 ounces of a 14% solution.
Let x be the number of ounces of the 11% alcohol solution, and y be the number of ounces of the 23% alcohol solution. Then we have:
x + y = 36 (total amount of solution)
0.11x + 0.23y = 0.14(36) (total amount of alcohol)
Simplifying the second equation, we get:
0.11x + 0.23y = 5.04
Multiplying the first equation by 0.11 and subtracting from the second equation, we get:
0.12y = 1.08
y = 9
Substituting y = 9 into the first equation, we get:
x + 9 = 36
x = 27
what is numbers?
In mathematics, numbers are abstract concepts used for counting, measuring, and comparing quantities. There are several types of numbers, including natural numbers, integers, rational numbers, irrational numbers, and real numbers. Numbers are used in various mathematical operations, such as addition, subtraction, multiplication, and division, and are a fundamental concept in mathematics.
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A point has:
Ono shape
no color
no size
no physical characteristics
all of the above
Read each question. Then fill in the correct answer on the answer document provided by your teacher or on a sheet of paper.
Jesse claims that if you live in Lexington, then you live in Kentucky. Which assumption would you need to make to form an indirect proof of this claim?
A Suppose someone lives in Kentucky, but not in Lexington.
B Suppose someone lives in Kentucky and in Lexington.
C Suppose someone lives in Lexington and in Kentucky.
D Suppose someone lives in Lexington, but not in Kentucky.
Jesse claims that if you live in Lexington, then you live in Kentucky. The assumption that we would need to make to form an indirect proof of this claim is A. Suppose someone lives in Kentucky, but not in Lexington.
Indirect proof is a type of proof where we assume the opposite of what we want to prove and then show that the opposite assumption leads to a contradiction or an inconsistency. It is also called proof by contradiction. By using indirect proof, we can prove something is true by showing that it cannot be false.
Thus, if the opposite of our desired outcome is false, then our desired outcome must be true.In the given claim, Jesse claims that if you live in Lexington, then you live in Kentucky. We can use indirect proof to prove the claim. To form an indirect proof, we would need to make the assumption that someone lives in Kentucky, but not in Lexington.
If the opposite of Jesse's claim is true, then it should be possible for someone to live in Kentucky but not in Lexington. But the assumption that someone lives in Kentucky, but not in Lexington contradicts Jesse's claim.
Hence, it is a contradiction to the claim, and we can conclude that the original claim is true. So, option A is the correct answer for this question. Hence, the correct answer is option A.
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32 is 25% of x.
A) 800
B)0.78
C)1/4
D)128
Answer:
128option D is the correct option
Solution,
25% of X= 32
or, 25/100*X= 32
Reduce the fraction with 25:
or, 1/4x= 32
multiply both side of the equation by 4:
or, 1/4 x *4= 32*4
calculate
X= 128
Hope this helps...
Good luck on your assignment...
I need help on these questions
Answer: 1) 8r+7t
2)8(r-t) 3)8(r+t
Step-by-step explanation:
A car is traveling at a steady speed. It travels 1 1/2 miles in 2 1/4 minutes. How far will it travel in 49 minutes? In 1 hour?
Answer:
32 2/3
Step-by-step explanation:
1 1/2x 2 1/4 =2/3
Then multiply 2/3 times the minutes (49)
You will get 32.6666
Convert that to a fraction or use calculator soup
Therefore the car will travel 32 2/3 miles in 49 minutes
(40 miles in one hour)
plz need this asap ONLY ANSWER IF YOU KNOW IT will give brainliest
Answer:
1 would be your y axis
Step-by-step explanation:
1. so the y axis is up and down
2. the x axis is horizontal side to side
3. the x axis is 0
4. the y axis is positive 1
5. So your anwser would be in the format (x,y)
6. It is (0,1)
7. It is positive
8. Plz name me brainliest I would really appreciate it if you need more help just ask me
Thank You
pls pls someone answer thissss asap...also I’d like the steps on how to do it as well pls and ty!!!
Answer:
v>19/6
Step-by-step explanation:
ALGIBRA 1 PLEASE HELPPPP IM GIVING 20 POINTS!
Answer: D
Step-by-step explanation:
For the geometric sequence 3,9/4,27/16,81/64, 1. What is the common reason? 2. What is the fifth term of the sequence? 3 What is the nth term of the sequence"
For the given geometric sequence we have:
a) R = 3/4
b) 243/256
c) Aₙ = 3*(3/4)⁽ⁿ⁻¹⁾
What is the common reason?The common reason is given by the quotient between two consecutive terms, so using the first two, we will get:
R = (9/4)/3
R = 3/4
That is the common reason.
b) To find the fifth therm, we need to take the fourth one and multiply it by the common reason, so we will get:
81/64*(3/4) = 243/256
c) The n-th term of the sequence is the first term of the sequence multiplied by the common reason (n - 1) times, it gives:
Aₙ = 3*(3/4)⁽ⁿ⁻¹⁾
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The Land of Nod lies in the monsoon zone, and has just two seasons, Wet and Dry. The Wet season lasts for 1/3 of the year, and the Dry season for 2/3 of the year. During the Wet season, the probability that it is raining is 3/4; during the Dry season, the probability that it is raining is 1/6. (a) I visit the capital city, Oneirabad, on a random day of the year. What is the probability that it is raining when I arrive? (b) I visit Oneirabad on a random day, and it is raining when I arrive. Given this information, what is the probability that my visit is during the Wet season? (c) I visit Oneirabad on a random day, and it is raining when I arrive. Given this information, what is the probability that it will be raining when I return to Oneirabad in a year's time? (You may assume that in a year's time the season will be the same as today but, given the season, whether or not it is raining is independent of today's weather.)
Answer:
Step-by-step explanation:
(a) To find the probability that it is raining when you arrive in Oneirabad on a random day, we need to use the law of total probability.
Let A be the event that it is raining, and B be the event that it is the Wet season.
P(A) = P(A|B)P(B) + P(A|B')P(B')
Given that the Wet season lasts for 1/3 of the year, we have P(B) = 1/3. The probability that it is raining during the Wet season is 3/4, so P(A|B) = 3/4.
The Dry season lasts for 2/3 of the year, so P(B') = 2/3. The probability that it is raining during the Dry season is 1/6, so P(A|B') = 1/6.
Now we can calculate the probability that it is raining when you arrive:
P(A) = (3/4)(1/3) + (1/6)(2/3)
= 1/4 + 1/9
= 9/36 + 4/36
= 13/36
Therefore, the probability that it is raining when you arrive in Oneirabad on a random day is 13/36.
(b) Given that it is raining when you arrive, we can use Bayes' theorem to calculate the probability that your visit is during the Wet season.
Let C be the event that your visit is during the Wet season.
P(C|A) = (P(A|C)P(C)) / P(A)
We already know that P(A) = 13/36. The probability that it is raining during the Wet season is 3/4, so P(A|C) = 3/4. The Wet season lasts for 1/3 of the year, so P(C) = 1/3.
Now we can calculate the probability that your visit is during the Wet season:
P(C|A) = (3/4)(1/3) / (13/36)
= 1/4 / (13/36)
= 9/52
Therefore, given that it is raining when you arrive, the probability that your visit is during the Wet season is 9/52.
(c) Given that it is raining when you arrive, the probability that it will be raining when you return to Oneirabad in a year's time depends on the season. If you arrived during the Wet season, the probability of rain will be different from if you arrived during the Dry season.
Let D be the event that it is raining when you return.
If you arrived during the Wet season, the probability of rain when you return is the same as the probability of rain during the Wet season, which is 3/4.
If you arrived during the Dry season, the probability of rain when you return is the same as the probability of rain during the Dry season, which is 1/6.
Since the season you arrived in is independent of the weather when you return, we need to consider the probabilities based on the season you arrived.
Let C' be the event that your visit is during the Dry season.
P(D) = P(D|C)P(C) + P(D|C')P(C')
Since P(C) = 1/3 and P(C') = 2/3, we can calculate:
P(D) = (3/4)(1/3) + (1/6)(2/3)
= 1/4 + 1/9
= 9/36 + 4/36
= 13/36
Therefore, the probability that it will be raining when you return to Oneirabad in a year's time, given that it is raining when you arrive, is 13/36.
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Please answer correctly !!!! Will mark brianliest !!!!!!
Answer:
-3x-5 x-4 I this work good luck
Answer:
-(3x-5) (x-4)
Step-by-step explanation:
-3x^2+17x-20
Factor -1 out of -3x^2
-(3x^2)+17x-20
Factor -1 out of 17x
-(3x^2)-(-17x)-20
Rewrite -20 as -1(20)
-(3x^2)-(-17x)-1(20)
Factor -1 out of -(3x^2)-(-17x)
-(3x^2-17x)-1(20)
Factor -1 out of -(3x^2-17x)-1(20)
-(3x^2-17x+20)
Factor.
-((3x-5)(x-4))
Final Anwser:
-(3x-5) (x-4)
10) Determine whether the events of rolling a fair die two times are disjoint, independent, both, or neither. A) Disjoint. B) Exclusive. C) Independent. D) All of these. E) None of these.
The answer is option (C), that is, the events of rolling a fair die two times are independent. The events are neither disjoint nor exclusive.
When rolling a fair die two times, one can get any one of the 36 possible outcomes equally likely. Let A be the event of obtaining an even number on the first roll and let B be the event of getting a number greater than 3 on the second roll. Let’s see how the outcomes of A and B are related:
There are three even numbers on the die, i.e. A={2, 4, 6}. There are four numbers greater than 3 on the die, i.e. B={4, 5, 6}. So the intersection of A and B is the set {4, 6}, which is not empty. Thus, the events A and B are not disjoint. So option (A) is incorrect.
There is only one outcome that belongs to both A and B, i.e. the outcome of 6. Since there are 36 equally likely outcomes, the probability of the outcome 6 is 1/36. Now, if we know that the outcome of the first roll is an even number, does it affect the probability of getting a number greater than 3 on the second roll? Clearly not, since A∩B = {4, 6} and P(B|A) = P(A∩B)/P(A) = (2/36)/(18/36) = 1/9 = P(B). So the events A and B are independent. Thus, option (C) is correct. Neither option (A) nor option (C) can be correct, so we can eliminate options (D) and (E).
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Please help me asap ill give
Brainlyest
Answer:
TS = 6.6 (nearest tenth)
Step-by-step explanation:
Secant: a straight line that intersects a circle at two points.
Tangent: a straight line that touches a circle at only one point.
Theorem
When a secant segment and a tangent segment meet at an exterior point, the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.
Given:
Tangent segment = QRSecant segment = TRExternal secant segment = SR⇒ QR² = TR · SR
⇒ 19² = (TS + 16) · 16
⇒ 361 = (TS + 16) · 16
⇒ 22.5625 = TS + 16
⇒ TS = 22.5625 - 16
⇒ TS = 6.5625
⇒ TS = 6.6 (nearest tenth)
the product of 40 and distance to thr finish line
The result of multiplying 40 by the distance to the finish line is equal to the total distance covered.
To calculate the product of 40 and the distance to the finish line,
1. Determine the distance to the finish line. This could be measured in any unit of length, such as meters or feet.
2. Take the value of the distance to the finish line and multiply it by 40. This can be done by simply multiplying the two numbers together.
Result = Distance to finish line * 40
3. Perform the multiplication to find the product. The result will be the total distance covered from the starting point to the finish line.
For example, if the distance to the finish line is 100 meters:
Result = 100 * 40
= 4000 meters
Therefore, the product of 40 and the distance to the finish line is 4000 meters.
Remember to adjust the units of the result based on the units used for the distance to the finish line.
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what is $20.00 take away $4.60
help!!!! meeeeeeeeeeeee
Answer:
most likely yards
Step-by-step explanation:
a population of amoebas in a petri dish will triple in size every hour .at the start of an experiment the population is =800x^3 where x is the number of hours models the population growth how amoebas are in the perri dish after 9 hours
From the given information, we know that the expression that models the population of amoebas with respect to time is:
\(P=8x^3\)Where x is the number of hours. by replacing 9 for x, we can find the population after 9 hours, like this:
\(\begin{gathered} P=8\times9^3 \\ P=8\times729 \\ P=5832 \end{gathered}\)Then, the population of amoebas after 9 hours is 5832.
classify the statement as an example of classical probability, empirical probability, or subjective probability. the probability of an earth-impacting asteroid causing a person's death is .
The given statement "the probability of an earth-impacting asteroid causing a person's death" is empirical probability, which is based on observations and data.
Empirical probability, also known as experimental probability, is based on observations or data. It involves collecting data through repeated trials of an experiment and calculating the probability of an event based on the frequency of its occurrence.
Subjective probability, also known as personal probability, is based on personal judgment or belief. It reflects an individual's degree of belief in the likelihood of an event occurring, based on their own knowledge and experience.
Now, let's classify the statement in the prompt. The statement is "the probability of an earth-impacting asteroid causing a person's death is." We can see that the statement does not specify which type of probability is being used.
In conclusion, probability is a crucial concept in mathematics and science, and there are different types of probability, including classical, empirical, and subjective probability.
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4. A prism has an area of cross-section of 89 cm². The volume of the prism is
4895 cm?. Find the height of the prism.
Answer:
55 cm
Step-by-step explanation:
height = 4895/89 = 55 cm
Solve by completing the square. x^2-10x-5=28
Answer:
Hey THERE
x=5+√58 or x=5−√58 is the answer
Step-by-step explanation:
x2−10x−5=28
Answer: look at the picture
Step-by-step explanation: hope this help :)
I NEED A GOOD ANWSER
How many 6 inch photos will fit inside 48 inches?
(please write your answer and explain.
Answer:
8
Step-by-step explanation:
48/6 = 8
If this is what the question is asking.. just divide the space by the size of photos
Donnalyn bought 2 1/2 kilograms of Longanisang Imus and her daughter bought 1 1/4 kilograms. They cooked 3/4 kilograms for breakfast. How many kilograms of Longanisang Imus left?
What is asked in the problem?
_______________________
What are the given facts?
________________________
What operations will be used?
________________________
What is the mathematical sentence or equation?
______________________
What is the final answer?
_________________________
Answer:
hdjdkurjfiotnbbteuurjrhrt
Which function has a minimum and is transformed to the right and down from the parent function, f(x)
The parent function of a quadratic equation is f(x) = x². The function that is transformed to the right and down from the parent function with a minimum is given by f(x) = a(x - h)² + k.
The equation has the same shape as the parent quadratic function. However, it is shifted up, down, left, or right, depending on the values of a, h, and k.
For a parabola to have a minimum value, the value of a must be positive. If a is negative, the parabola will have a maximum value.To find the vertex of the parabola in this form, we use the vertex form of a quadratic equation:f(x) = a(x - h)² + k, where(h, k) is the vertex of the parabola.The vertex is the point where the parabola changes direction. It is the minimum or maximum point of the parabola. In this case, the parabola is transformed to the right and down from the parent function, f(x) = x². Therefore, h > 0 and k < 0.
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For each of the following pairs of classes, identify the relation. Briefly explain why. vi. Car and engine vii. Table and chairs viii. Book and bookbags I ix. Transportation and airplane x. Weather and Hurricane
vi. Car and engine: Composition
vii. Table and chairs: Association
viii. Book and bookbags: Aggregation
ix. Transportation and airplane: Generalization
x. Weather and Hurricane: Specialization
In the case of a car and an engine, the relationship can be described as composition. The engine is an essential component of a car, and it cannot function without it. A car consists of various parts, and the engine plays a central role in its operation.
Regarding a table and chairs, the relationship can be defined as association. While tables and chairs are often found together in a dining set or a conference room, they can also exist independently. The presence of one does not necessarily require the presence of the other.
For a book and bookbags, the relationship can be characterized as aggregation. A bookbag can contain multiple books, but it is not exclusively tied to a single book. A bookbag serves as a container or a collection of books, allowing for easy transportation.
When considering transportation and an airplane, the relationship can be identified as generalization. Airplanes are a specific type of transportation method that falls under the broader category of transportation. Transportation encompasses various modes such as cars, trains, ships, and planes.
Lastly, weather and hurricanes can be described as a relationship of specialization. A hurricane is a specific type of weather phenomenon characterized by strong winds and heavy rainfall. It is a specialized event that occurs within the broader concept of weather, which encompasses a range of atmospheric conditions.
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HELP PLEASE, NO FILES OR LINKS PLEASE
Thomas is going to deposit $840 in an account that earns 7.5% interest compounded annually. His wife Sheril will deposit $1,250 in an account that earns 6.9% simple interest each year. They deposit the money on the same dayand make no additional deposits or withdrawals for the accounts. What statement is true concerning Thomas' and Sheril's account balance after 5 years?
a
Thomas' account will have about $475.32 less than Sheril's account.
b
Sheril's account will have about $475.32 less than Thomas' account.
c
Thomas' account will have about $431.25 less than Sheril's account.
d
Sheril's account will have about $431.25 less than Thomas' account.
Answer:
A
Step-by-step explanation:
I am to determine the future value of Thomas' deposit with annual compounding
The formula for calculating future value:
FV = P (1 + r)^n
FV = Future value
P = Present value
R = interest rate
N = number of years
840 x (1.075)^5 = 1205.93
I am to determine the future value of Sherill's deposit in 5 years using simple interest
The amount that would be in the account = amount deposited + interest earned on deposit
interest earned on deposit can be determined by determining the simple interest
Simple interest = amount deposited x time x interest rate
1250 x 0.069 x 5 = 431.25
Amount that would be in her account after 5 years = 1250 + 431.25 = 1681.25
Sheril's money is higher by - 1681.25 - 1205.93 = 475.32
what is the value of w
I think its 2..........
a tennis player makes a successful first serve 70% of the time- what is the probability she makes at least 65
The probability she makes at least 65 is 0.0139.
What is probability?
The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a proposition is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.
\(\begin{aligned}P(x \geq 65) & =1-P(x < 65) \\& =1-P\left(\frac{x-\mu}{n} < \frac{65-56}{4.0988}\right) \\& =1-P(z < 2.1958) \\& =1-0.9861 \\& =0.0139\end{aligned}\)
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