POINTS
Wealth, fame, power.
Gold Roger the king of the pirates obtained this and everything else the
World had to offer. And his dying words drove countless souls to the seas.
“You want my treasure? You can have it! I left everything I gathered
Together in one place. Now you just have to find it! ”
These words lured men to the grand line, pursuing dreams greater than they
Ever dared to imagine. This is the time known as the great pirate era.
Come on board and bring along,
All your hopes and dreams.
Together we will find everything
That we’re looking for.
One Piece
Compass left behind.
It’ll only slow us down.
Your heart will be your guide.
Raise the sails and take the helm.
That legendary place,
That the end of the map reveals
It’s only legendary,
Till someone proves it real.
Through it all,
Through all the troubled time,
Through the heartache
And through the pain.
Know that I
Will be there to stand by you,
Just like I know you’ll stand by me.
So come on board and bring along,
All your hopes and dreams.
Together we will find everything
That were looking for.
There is always room for you,
If you want to be my friend.
We are!
We are
On a cruise!
We are!
Answers
Answer:
i honestly don’t know if there was a question
Step-by-step explanation:
Related Questions
please help and show how :) i will mark you brainliest please help
Answers
It is the fourth one because n could be any number on that red line because it’s is greater than -3
Answer:
The 4th option on the picture
Step-by-step explanation:
First, we can find -3 on the number line. Next, the inequality doesn't say n is greater than or equal to -3 (When you have a line under the greater sign, it means greater than or equal to), it says that n is greater than -3, so you don't fill in the dot. We know that to be greater than something, you point the line to the right side of the point (And we plot less than a point is to go left of the point), so we have all of the data to plot the line. The point is at -3 and isn't filled in and goes right of -3. Therefore, the answer is the 4th one.
Finiteness of spinfoam vertex amplitude with timelike polyhedra and the regularization of full amplitude
Answers
The finiteness of the spinfoam vertex amplitude with timelike polyhedra is achieved through a regularization process in the calculation of the full amplitude.
The spinfoam vertex amplitude represents the transition amplitude between different quantum states in loop quantum gravity. When timelike polyhedra are involved, the vertex amplitude can diverge due to the presence of singularities.
To address this issue, a regularization technique is employed, which introduces a cutoff or smoothes out the problematic regions.
This regularization ensures that the calculations remain finite and well-defined, allowing for meaningful physical predictions within the framework of loop quantum gravity.
By employing a regularization technique, the finiteness of the spinfoam vertex amplitude with timelike polyhedra is ensured. This regularization process is crucial in maintaining the mathematical consistency of loop quantum gravity and enables the study of quantum gravitational phenomena in a well-defined manner.
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find 3
Consecutive integers
Whose sum is 39
Answers
Answer:
12 , 13 and 14
Step-by-step explanation:
.at the beginning of every period of british literature, mrs. crabapple picks a random student to receive a crabapple as a gift, but really, as you might imagine, they are quite bitter and nasty. given that there are $11$ students in her class and her class meets four times a week, how many different sequences of crabapple recipients are possible in a week?
Answers
The number of different sequences of crabapple recipients that are possible in a week are 14,641.
In Mrs. Crabapple's British literature class, there are 11 students, and she gives out a crabapple at the beginning of each of the 4 class meetings per week.
To determine the number of different sequences of crabapple recipients, we will calculate the number of possibilities for each class meeting and multiply them together. Since she can pick any of the 11 students for each class, there are:
11 possibilities for the first class,
11 possibilities for the second class,
11 possibilities for the third class, and
11 possibilities for the fourth class.
So, the total number of different sequences of crabapple recipients in a week is:
11 * 11 * 11 * 11 = 11^4 = 14,641 different sequences.
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Iii. Dhruv's mother is 10 years more than four times his age. After 8 years, his mother's age
will be three times of Dhruv's age. Find their present ages
Answers
The present age of Dhruv and his mother, when the relation between their present age is given are 6 years and 34 years respectively.
Let us consider that age of Dhruv is D and age of his mother is M. The relation between their present ages will be given as 4D + 10 = M ...(1)
Now it is given that after eight years as well, there sets a suitable relation between their ages which is given as follows:
M+8 = 3(D+8) ...(2)
Now using equations 1 and 2, the values of M and D can be determined by cross multiplication method or substituting method.
Using equation 2, we get M=3(D+8) - 8
Putting the value of M in equation 1, and solving we get:
4D+ 10 = 3D + 24 - 8
4D - 3D = 24 -8 - 10 = 6
D = 6 years
Putting the value of D in equation 2, we get:
M = 3(6+8) - 8 = 42 - 8 = 34 years
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In the game of Roulette, if you place a $10 bet on number 12, there are two possible outcomes:
either you profit $350, or you lose $10. (The prize is $360 but subtracting the $10 bet equals a net gain of
$350). The probability that you win is 1
38
and the probability that you lose is
37
38
.
a. Calculate the expected value of how much money you’ll get if you bet $10 on number 12 in Roulette.
Show full work to receive credit.
b. Based on your expected value from part a, is it a good idea to play Roulette over and over again? Give
a mathematical explanation for your answer.
Answers
a. To calculate the expected value of how much money you’ll get if you bet $10 on number 12 in Roulette, we can use the formula: Expected Value = (Probability of Winning * Amount Won) - (Probability of Losing * Amount Lost)
In this case, the probability of winning is 1/38, and the amount won is $350. The probability of losing is 37/38, and the amount lost is $10. Substituting these values into the formula, we get: Expected Value = (1/38 * $350) - (37/38 * $10)
Expected Value = $9.21 Therefore, the expected value of how much money you’ll get if you bet $10 on number 12 in Roulette is $9.21. b. Based on the expected value from part a, it is not a good idea to play Roulette over and over again. The reason is that the expected value is positive but small. This means that on average, you will win $9.21 for every $10 you bet, but the variance in the game can cause you to lose money in the long run.
For example, if you play 100 rounds of Roulette with a $10 bet on number 12 each time, you would expect to win $921 on average. However, there is a significant chance that you could lose money over these 100 rounds. The more you play, the greater the likelihood of experiencing a losing streak that would offset your winnings.
Therefore, while playing Roulette can be fun and exciting, it is not a sustainable way to make money. The small expected value means that over time, the casino will always come out ahead.
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A boy walks 40m from a city X on a bearing of 040° to a city Y. She then walks 40m on a bearing of 140° to a city Z. Find the bearing of Z from city X.
a) 35°
b) 50°
c)90°
Answers
Answer: option C.
Step-by-step explanation:
If city X is in the point (0,0)
Now, we can use that a displacement of L in distance with an angle A, gives us that the components of the displacement are:
X = L*cos(A)
Y = L*sin(A)
So we know that the city Y is located in:
(40m*cos(40°), 40m*sin(40°))
Now, from this point he moves other 40m with an angle of 140°.
The new position is
(40m*cos(40°) + 40m*cos(140°), 40m*sin(40°) + 40m*sin(140°))
this is:
40m*(cos(40°) + cos(140°), sin(40°) + sin(140°)) = 40m*( 0, 1.28)
the new position is (0, 51.2m)
This means that for a new displacement L and angle A we have:
X = L*cos(A) = 0
Y = L*sin(A) = 51.2m
Cos(A) is only 0 when A = 90° or 270°,
and we know that sin(90°) = 1 and sin(270°) = -1
As we have a positive number in the Y equation, we can conclude that A must be 90°.
Then
Y = L*sin(90°) = L = 51.2m
Here we finded that the bearing of Z from city X is 90°
A company makes cell phones in two different factories, one abroad and one more local. At the factory abroad it takes 30 hours to produce the cellphone and at the local factory it takes 20 hours. The costs of producing these cell phones are $20 each at the factory abroad and $60 each at the local factory. The company's total labor force can provide 6000 hours of labor each week and total resources are $12,000 each week. How many cell phones should the company make at each factory to maximize the amount of phones produced?
Answers
Answer:
The answer is below
Step-by-step explanation:
Let x represent the number of phones produced abroad and y represent the number of phones produced locally.
The company can provide 6000 hours of labor each week and it takes 30 hours to produce the cellphone abroad and at the local factory it takes 20 hours, hence:
30x + 20y = 6000 (1)
Also, there is a total resource of $12000 each week, the cost of producing abroad is $20 and the cost of producing locally is $60. Hence:
20x + 60y = 12000 (2)
Multiply equation 1 by 3 and subtract equation 2 from the result. This gives:
70x = 6000
x = 600/7 ≈ 86
Put x = 86 in equation 1:
30(86) + 20 y = 6000
20y = 3420
y = 171
86 phones should be produced abroad and 171 phones locally
tan x * csc x = sec x
Answers
Answer:
see explanation
Step-by-step explanation:
using the identities
tanx = \(\frac{sinx}{cosx}\) , cscx = \(\frac{1}{sinx}\) , secx = \(\frac{1}{cosx}\)
consider left side
tanx × cscx
= \(\frac{sinx}{cosx}\) × \(\frac{1}{sinx}\) ( cancel sinx on numerator/ denominator )
= \(\frac{1}{cosx}\) × 1
= secx = right side
as people exit the polling booth, researchers ask those between the ages of 20 and 40 how they voted on the various propositions on the ballot in order to predict election outcomes. this sampling method is called sampling.
Answers
The sampling method described in the question is called "quota sampling."
Quota sampling is a non-probability sampling technique in which researchers select participants based on pre-determined quotas or characteristics, such as age or gender. In this case, the researchers are selecting participants between the ages of 20 and 40.
However, this method may not be representative of the entire population as it does not guarantee that all subgroups within the population have an equal chance of being selected. Therefore, the results may be biased and not accurately reflect the opinions of the entire population.
Therefore, it is important to consider the limitations of quota sampling when interpreting the results
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There are 8 squares and 2 triangles. What is the simplest ratio of triangles to total shapes?
Answers
Answer:
2:10 or 1:5
Step-by-step explanation:
Answer: 4 squares to 1 triangle
Step-by-step explanation: both can be divided by two and that is the largest number they can be divided into
You are given the following points:A = (12, 10, -17),B = (-18, 0, -6),C = (-9, -3, 15).
Which point is closest to the yz-plane? B
What is the distance from the yz-plane to this point? 0
Which point is farthest from the xy-plane? A
What is the distance from the xy-plane to this point? 17
Answers
So the point farthest from the xy-plane is A = (12,10,-17). The distance of point A from xy-plane is 17 units.
The equation of the yz-plane is x=0.
So the yz-plane is the plane which passes through the points (0,1,0), (0,0,1) and (0,0,0).
For a point P(x,y,z), the distance between P and
the plane Ax + By + Cz + D = 0 is
|Ax+By+Cz+D| / sqrt(A²+B²+C²).
Thus, the distance from a point to the yz-plane is |x|.
Using this formula for the given points:
A = (12,10,-17) : |x| = |12| = 12B
= (-18,0,-6) : |x| = |-18| = 18C
= (-9,-3,15) : |x| = |-9| = 9
So the point closest to the yz-plane is C = (-9,-3,15).
The distance of point C from yz-plane is 9 units.
So the answer is: 9.
The equation of the xy-plane is z=0.
So the xy-plane is the plane which passes through the points (0,0,1) and (0,0,0).
The distance from a point to the xy-plane is |z|.
Using this formula for the given points:
A = (12,10,-17) : |z| = |-17| = 17B
= (-18,0,-6) : |z| = |-6| = 6C
= (-9,-3,15) : |z| = |15|
= 15
So the point farthest from the xy-plane is A = (12,10,-17).
The distance of point A from xy-plane is 17 units.
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I've always wondered why we put the dollar sign ($) before a number, when, when we say an amount of money we say the number first then dollars; like $12, but I think it really should be 12$, cause we don't go and say "dollar twelve", we say "twelve dollars". I don't know if this makes sense, but this always confused me; please share your thoughts.
Answers
Answer: I believe it's just custom. Some nations follow the quantity with a currency symbol, such as the dollar sign.
According to one hypothesis I've heard, the currency symbol was added before the quantity to stop individuals from modifying handwritten amounts, like changing 25.00 into 125.00, for example. It might be accurate, however I believe that the amount is always spelled out in words in the majority of situations when such fraud would be conceivable, such as on checks.
Step-by-step explanation:
Mackenzie works as a salesperson at an electronics store and sells phones and phone accessories. Mackenzie earns a $10 commission for every phone she sells and a $4 commission for every accessory she sells. On a given day, Mackenzie made a total of $126 in commission and sold 7 more accessories than phones. Write a system of equations that could be used to determine the number of phones sold and the number of accessories sold. Define the variables that you use to write the system.
Answers
Answer:
Let p= the number of phones sold
Let a= the number of accessories sold
Step-by-step explanation:
10p+4a=126
a=p+7
The system of equation should be 10p+4a=126 and a=p+7
Given that,
Mackenzie earns a $10 commission for every phone she sells and a $4 commission for every accessory she sells. On a given day, Mackenzie made a total of $126 in commission and sold 7 more accessories than phones.Based on the above information, the equation is as follows:
Here we assume p= the number of phones sold
And, a= the number of accessories sold
So, the equations are 10p+4a=126 and a=p+7
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find the amount of interest and the monthly payment for the loan described. purchase of a living room set for $4,950 at 12% add-on interest for 3 years
Answers
The amount of interest is $1,782 and the monthly payment is $187.
To find the amount of interest and monthly payment for the loan, we need to use the add-on interest formula. The add-on interest formula is:
\(Total interest = Principal x Interest Rate x Time\)
Total amount due = Principal + Total interest
Monthly payment = Total amount due ÷ Number of payments
Given:
Principal (P) = $4,950
Interest rate (r) = 12%
Time (t) = 3 years
Number of payments (n) = 36 (12 months × 3 years)
Using the formula:
Total interest = P x r x t = $4,950 x 0.12 x 3 = $1,782
Total amount due = P + Total interest = $4,950 + $1,782 = $6,732
Monthly payment = Total amount due ÷ Number of payments = $6,732 ÷ 36 = $187
Therefore, the amount of interest is $1,782 and the monthly payment is $187.
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The owner of the Good Deals Store opens a new store across town. For the new store, the owner estimates that, during business hours, an average of 90 shoppers
Answers
The correct option is (A) 60 as the estimated average number of shoppers in the original store at any time is 45.
What is an average?In layman's terms, an average is a single number chosen to represent a set of numbers, usually the sum of the numbers divided by the number of numbers in the set. The average of the numbers 2, 3, 4, 7, and 9 is 5, for example.To find the estimated average number of shoppers in the original store at any time:
In the new store, the manager estimates that an average of 90 shoppers per hour enter the store, which is equivalent to 1.5 shoppers per minute. The manager also estimates that each shopper stays in the store for an average of 12 minutes. Thus, by Little’s law, there are, on average, N=rt = (1.5)(12) = 18 shoppers in the new store at any time. This is (45-18)/45 × 100 = 60 percent less than the average number of shoppers in the original store at any time.Therefore, the correct option is (A) 60 as the estimated average number of shoppers in the original store at any time is 45.
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The complete question is given below:
The owner of the Good Deals Store opens a new store across town. For the new store, the owner estimates that, during business hours, an average of 90 shoppers per hour enter the store and each of them stays an average of 12 minutes. The average number of shoppers in the new store at any time is what percent less than the average number of shoppers in the original store at any time?
(A) 60
(B) 70
(C) 80
(D) 50
Hong Tang's gross weekly salary is $615. His weekly federal withholding is $55. The Social Security tax is 6.2 percent of the first $90,000. The Medicare tax is 1.45 percent of gross pay. The state tax is 1.5 percent of gross pay. Each week he pays $22.40 for medical insurance. How much is deducted from Tang's weekly wages for state tax and Medicare tax combined?
Answers
We have that the Medicare tax is 1.45% of gross pay, and the state tax is 1.5%. Then, if Hong Tang's gross weekly salary is $615, then::
\(\begin{gathered} (615)(0.0145)=8.92 \\ (615)(0.015)=9.22 \\ \Rightarrow8.92+9.22=18.14 \end{gathered}\)therefore, from state tax and Medicare tax combined, Hong Tang gets deducted $18.14
a forest ranger has 10 randomly selected rainwater samples from a watershed area in tennessee. she measures the amount of ammonium in each sample and wants to use the measurements to construct a 90% bootstrap confidence interval for the true mean amount of ammonium in the rainwater of this area. which percentile values of her ordered \bar{x} {boot} values should she use?
Answers
The percentile value to construct a 90% bootstrap confidence interval for the true mean amount of ammonium in the rainwater is equals to 5%.
If the bootstrap distribution is approximately symmetric, we can construct a confidence interval by finding the percentiles in the bootstrap distribution so that the proportion of bootstrap statistics between the percentiles matches the desired confidence level. We have a forest ranger which select a random rainwater sample from a watershed area in tennessee with
Sample size, n = 10
Ranger measures the amount of ammonium in each sample. Measurements to construct a 90% bootstrap confidence interval for true mean amount of ammonium in the rainwater. We have to determine the p-value for her ordered. Now,
The percentile bootstrap interval is just the interval between the 100×(α/2)100 and 100×(1−α/2) percentiles of the distribution of θ estimates obtained from resampling, where θ represents a parameter of interest and α is the level of significance. but we have to determine percentile value for 90% confidence interval. Here, level of significance for 90% is α = 1 - 0.90 = 0.10, α/2 = 0.05
So, percentile value = α/2 = 0.05
= 5%
The number of the bootstrap sample that must be chopped off to produce a 90% confidence interval is N = 10 ×α/2
=> N = 10× 0.05 = 0.5
Hence, required percentile value is 5%.
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Phil Dunphy, a real estate agent, is considering whether he should list an unusual $451,299 house for sale. If he lists it, he will need to spend $3,925 in advertising, staging, and fresh cookies. The current owner has given Phil 6 months to sell the house. If he sells it, he will receive a commission of $20,283. If he is unable to sell the house, he will lose the listing and his expenses. Phil estimates the probability of selling this house in 6 months to be 37%. What is the expected profit on this listing.
Answers
Answer:
The expected profit on the listing is $5031.96
Step-by-step explanation:
Given that:
The probability of selling the house in 6 months is p = 0.37
The probability of not selling the house = 1 - 0.37 = 0.63
Suppose Y represents the profit on the listing,
Then: the expected profit on the listing can be computed as:
E(X) = ($20283* 0.37) - ($3925*0.63)
E(X) = $7504.71 - $2472.75
E(X) = $5031.96
Thus, the expected profit on the listing is $5031.96
The expected profit on the listing is $5031.96.
Calculation of the expected profit:Since
The probability of selling the house in 6 months is p = 0.37
The probability of not selling the house = 1 - 0.37 = 0.63
here Y means the profit on the listing,
So, the expected profit is
E(X) = ($20283* 0.37) - ($3925*0.63)
E(X) = $7504.71 - $2472.75
E(X) = $5031.96
Thus, the expected profit on the listing is $5031.96.
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ter 1: Solving Simple Equation Solve x +5 = 8.
Answers
Answer:
3
Step-by-step explanation:
Step 1:
x + 5 = 8
Step 2:
x = 8 - 5
Answer:
x = 3
Hope This Helps :)
Answer:
x = 3
Step-by-step explanation:
Step 1: Write equation
x + 5 = 8
Step 2: Subtract 5 on both sides
x = 3
Step 3: Check
Plug in x to verify if it's a solution.
3 + 5 = 8
8 = 8
The sum of two numbers is 22. One of the numbers is two times the other. What are the numbers
Answers
The numbers is 44/3 and 22/3 are that numbers.
Given that
The sum of two numbers is 22.
One of the numbers is two times the other.
To find
What are the numbers ?
So, according to the question
Let's assume that numbers are x and y, where x is greater then y.
So, we can say that
The sum of that numbers,
x+y = 22, -------------(1)
And
One of the numbers is two times the other.
x = 2y ---------------(2)
Now, put the value of eq(1) in eq(2)
So, we will get
x+y = 22, -------------(1)
2y+y = 22
3y = 22
y = 22/3
Now, put the value of y in eq(2)
So, we will get
x = 2y ---------------(2)
x = 2 (22/3)
x = 2 ×\(\frac{22}{3}\)
x = 44/3
That numbers are 44/3 and 22/3.
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There are 3 basketball teams. Each team has 10 players. All of the teams are used to make 6 groups during practice. How many players are in each group.
Answers
3x10=30.
30/6=5
A secretary earns $12 an hour and worked a total of 47 hours last week she earns time and a half for work beyond 40hours calculate her pay
Answers
Answer:
$606
Step-by-step explanation:
For the first 40 hours, she was making $12. With this, we can do 12x40, which is 480$. We can store that in a safe space for later access. Afterwards, since the problem says that "after 40 hours she earns time and a half for her work" we can assume she gets 1.5x her pay after 40 hours, which is $18 (We can get this by 12 / 2 = 6. Then do 12 + 6 = 18). Then we can do 18x7 because she worked 7 hours over 40. With that, we get 126$. Now we can do 480$ + 126$ = 606$. So, she earned 606$.
CHEMICAL REACTIONS Standardizing a base solution by titration A chemistry student needs to standardize a fresh solution of sodium hydroxide. He carefully weighs out 195. mg of oxalic acid (H₂C₂O), a diprotic acid that can be purchased inexpensively in high purity, and dissolves it in 250. ml. of distilled water. The student then titrates the oxalic acid solution with his sodium hydroxide solution. When the titration reaches the equivalence point, the student finds he has used 59.9 ml. of sodium hydroxide solution. Calculate the molarity of the student's sodium hydroxide solution. Round your answer to 3 significant digits. OM 0.8
Answers
molarity of NaOH = 0.998 M Approximately 0.998 M is the molarity of sodium hydroxide solution. The concentration of a solution of unknown concentration can be determined by titrating it against a solution of known concentration.
This is known as titration. This process involves adding a reagent to the solution until the reaction between the two is complete, which is referred to as the equivalence point. It is impossible to determine the precise moment at which this occurs, thus an indicator is employed.Indicator: A material that undergoes a distinct color change at the endpoint of a chemical reaction to demonstrate the completion of the reaction.
Indicators alter color due to a pH change that occurs in the reaction, and it is this pH change that allows the indicator to indicate the endpoint of the reaction. Indicators only work if the pH at the endpoint of the titration is in a specific range.The following is the calculation for the molarity of sodium hydroxide solution:Given that the mass of oxalic acid is 195mgVolume of oxalic acid is 250 mlVolume of NaOH used is 59.9 mlMolar mass of oxalic acid is 126 g/mol.The balanced equation for this reaction is:
H2C2O4(aq) + 2NaOH(aq) → Na2C2O4(aq) + 2H2O (l)
1 mole of oxalic acid reacts with two moles of NaOH, therefore, molarity of NaOH = (Molarity of H2C2O4 × 2 × Volume of H2C2O4) ÷ Volume of NaOH used molarity of NaOH
= (Molarity of H2C2O4 × 2 × Volume of H2C2O4) ÷ Volume of NaOH usedmolarity of H2C2O4
= Mass of H2C2O4 ÷ Molar mass of H2C2O4Number of moles of H2C2O4
= molarity of H2C2O4 × Volume of H2C2O4molarity of NaOH = (0.015 M × 2 × 0.25 L) ÷ 0.0599 L
molarity of NaOH = 0.998 MApproximately 0.998 M is the molarity of sodium hydroxide solution.
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Why are 3/4 and 8/12 NOT equivalent? Thanks!
Answers
Answer:Does this help?
Step-by-step explanation:
3/4 needs to have the same denominator as 8/12 so you can do this by multiplying the denominator by 3 and the top by 3 you get 9/12 When you convert them to percents you get , 3/4= 75% and 8/12= 66.666%
will list you brainlest please hurry
Answers
Answer:
0- -3 1/4+1 3/4
Step-by-step explanation:
i belive this is the answer, but im not 100% sure sry if im wrong
Can someone explain this / answer it? 18 POINTS + Brainliest
Answers
Answer:
I believe it is because he has exhausted all the different ways to use the 18 m he has. Look below.
Step-by-step explanation:
He has 18 m of wood and he has done:
8+8=16 1+1=2 16+2=18
7+7=14 2+2=4 14+4=18
6+6=12 3+3=6 12+6=18
5+5=10 4+4=8 10+8=18
So he has no more ways to use the 18 m of wood and has exhauseted all the ways.
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Josie is looking at buying a new phone for $800.If she does not want to pay the entire $800 she has the option of buying the phone for a $150 deposit and making 12 monthly payments of $75 each. If Josie chooses the payment plan what will be the percent increase on the original cost of the phone?
Answers
Answer:A 131.25%
Step-by-step explanation:
How many ms in a second?
Answers
answer; #13,#14,#15. ((PLEASE HELP ME)). ((due today)).
Answers
The domain and range of f(x) = -24 are given as follows:
Domain: all real values.Range: {-24.}The domain and range of f(x) = 0.5(x + 4)² - 11 are given as follows:
Domain: all real values.Range: f(x) >= -11.The range of y = -2x² + 12x - 13 is given as follows:
y <= 5.
How to obtain the domain and the range of a function?The domain of a function is the set that contains all the input values that can be assumed by the function.
As neither of the functions in this problem have any restriction, the domain is all real values for the two of them.
The range of a function is the set that contains all the output values that can be assumed by the function.
The ranges are given as follows:
Constant function: single constant, hence the {}.Quadratic functions: negative infinity to vertex (concave down) and vertex to positive infinity (concave up).More can be learned about the domain and the range of a function at https://brainly.com/question/30248800
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