We will get the piecewise function:
y = f(x) = $5*x for 0 ≤ x ≤ 2y = f(x) = $10 + $2.50*(x - 2) for 2 < xHow to write the piecewise function?
We know that the parking lot charges $5 per hour for the first two hours, and then $2.50 per hour after that.
So the function behaves differently in different intervals of its domain, this will be a piecewise function. To write it, we just need to clarify how the function behaves in each part of the domain.
Here the function will be:
y = f(x) = $5*x for 0 ≤ x ≤ 2y = f(x) = $10 + $2.50*(x - 2) for 2 < xSo for the first two hours (x is the number of hours), the cost is $5, then for any hour after that, the cost will be the $10 for the first two hours plus $2.50 for each hour after that.
That is the piecewise function that describes the total cost y as a function of the number of hours, x.
If you want to learn more about piecewise functions, you can read:
https://brainly.com/question/3628123
Please helppppppppppppp
Answer: 113 ez
Step-by-step explanation: back in my day i used to calculate sum shots
Evaluate the expression for x = -4, y=-2, and z=-3.
x(y+z)^2?
Answer:
- 100
Step-by-step explanation:
x (y + z)²
= (-4) [(- 2) + (- 3)]²
= - 4 * (-5)²
= - 4 × 25
= - 100
Hope it helps ⚜
Step-by-step explanation:
we take the values given and we substitute in the equation above.
value of x=-4
y=-2
z=-3
hence we can solve for the equation above
-2(-2+-3)^2
we for everything in brackets first
(-2+-3)=-5
(-5)^2=25hence after solving we multiply by -2
-2(25)=-50
indeed that is my solution.
NO LINKS!!! Select the correct answer. Consider functions f and g.
Answer:
-2.25
Step-by-step explanation:
x = -2.25
Answer:
C. x ≈ -2.25
Step-by-step explanation:
A spreadsheet or graphing calculator can help you make a table of values. The function values are closest together at ...
x ≈ -2.25
______
Additional comment
To 11 significant digits, the solution is x ≈ −2.2116632512.
Random Question
Mr Sire purchases a bicycle for $163.62. How much cash will he need to pay?
The equations of four lines are given. Identify which lines are parallel.
Line 1: y=12x−6
Line 2: x−2y=−1
Line 3: y=4x+6
Line 4: y+3=14(x−6)
Solve for x
-1/5x-2/5=4/3x+1
Answer:
x = -21/23 or 0.913 (rounded to the nearest thousandth)
Step-by-step explanation:
Step 1: Add 2/5 to both sides
1. -1/5x - 2/5 + 2/5 = 4/3x + 1 + 2/5
2. -1/5x = 7/5 + 4/3x
Step 2: Subtract 4/3x from both sides
1. -1/5x - 4/3x = 7/5 + 4/3x - 4/4x
2. -23/15x = 7/5
Step 3: Multiply both sides by 15
1. (15)-23/15x = 7/5(15)
2. -23x = 21
Step 4: Divide both sides by -23
1. -23x/-23 = 21/-23
2. x = -21/23 or 0.913 (rounded to the nearest thousandth)
In the senior year of a high school graduating class of 100 students, 42 studied mathematics, 68 studied psychology, 54 studied history, 22 studied both mathematics and history, 25 studied both mathematics and psychology, 7 studied history but neither mathematics nor psychology, 10 studied all three subjects,and 8 did not take any of the three. Randomly select a student from the class and find the probabilities of the following events. (a) A person enrolled in psychology takes all three subjects. (b) A person not taking psychology is taking both history and mathematics
The probability of finding a person enrolled in psychology that takes all three subjects is 10%, and the probability of finding a person not taking psychology that is taking both history and mathematics is 22%.
ProbabilitiesTo find the probability of A) a person enrolled in psychology that takes all three subjects, and B) a person not taking psychology that is taking both history and mathematics; the following calculations must be made:
A) 10/100 x 100 = X0.1 x 100 = x10 = XB) 22/100 x 100 = X0.22 x 100 = X22 = XTherefore, the probability of finding a person enrolled in psychology that takes all three subjects is 10%, and the probability of finding a person not taking psychology that is taking both history and mathematics is 22%.
Learn more about probabilities in https://brainly.com/question/26677483
Find the perimeter of the figure.
O528.75 ft
O264.375 ft
O 41.25 ft
O 82.5 ft
Answer:
the answer for your question is 82.5 ft
Step-by-step explanation:
Using translation concepts, we have that the graph of f(x):Was shifted 9 units to the right and 3 units down ... O528.75 ft O264.375 ft O 41.25 ft O 82.5 ft.
What's the solution of the following linear system?
5x + 2y = 9
–5x – 2y = 3
Question 10 options:
(–3, 5)
(0, –2)
No solution
Infinitely many solutions
Answer:
No solution
Step-by-step explanation:
5x + 2y = 9
–5x – 2y = 3
0 = 12
This is false. Therefore the equation had no solution.
Hope this helps!
the number of kilo gram of water in human body varies directly as the mass of the body. A 96kg person contains 64kg of water. how many kilo gram of water are in a 60kg person? (show your solution)
plssss help me Po plsssssssss
Answer:
Step-by-step explanation:
Find the solution to the system of equations,
x + y + z = 18
y+ z = 11
z = 8
A. x = 7, y = 3, z = 8
B. x = 7, y = 11, z = 3
C. x = 18, y = 3, z = 8
D. x = 18, y = 11, z = 8
Answer:
D should be it
Step-by-step explanation:
1,2,3,5 and 7 are all common factors of two numbers.
Write down the digit that the two numbers end in
Answer:
After our solar system began to form, dust and gas combined into small bodies that formed the planets. What are these small bodies called?
dwarf planets
gas giant planets
planetesimals
terrestrial planets
Step-by-step explanation:
convert 2FA.C8 base 16. express in Octal form, Quinary or pental form and Binary form
Using base conversion method, 2FA.C8 base 16 can be expressed as:
1372.628 in octal11022.3423120034 in pental1011111010.11001 in binaryWhat is 2FA.C8 base 16 expressed in Octal form?To express 2FA.C8 in octal form, it is first converted to a decimal form as follows:
where:
F = 15
A = 10
C = 12
2FA.C8 = 2 × 16^2 + F × 16^1 + A × 16^0 + C × 16^-1 + 8 × 16^-2
2FA.C8 = 762.7812510 in decimal.
Then, convert 762.7812510 to octal as follows:
First the integral part is converted to octal by repeated division by 8.The fractional part is converted to octal by repeated multiplication by 8 until we get to zero (here, we calculate up to ten digits)add the integral and fractional part together762 / 8 = 95 remainder 2
95 / 8 = 11 remainder 7
11 / 8 = 1 remainder 3
1 / 8 = 0 remainder 1
762 = 1372
Then;
0.78125 × 8 = 6 + 0.25
0.25 × 8 = 2 + 0
0.78125 = 0.62
Therefore, 762.78125 in decimal = 1372.628 in octal
What is 2FA.C8 base 16 expressed in pental form?To convert 2FA.C8 base 16 to pental form, we use its value in decimal for conversion.
2FA.C8 base 16 = 762.7812510 base 10Then, convert 762.7812510 to pental as follows:
First the integral part is converted to pental by repeated division by 5The fractional part is converted to pental by repeated multiplication by 5 until we get to zero (here, we calculate up to ten digits)add the integral and fractional part together762 / 5 = 152 remainder 2
152 / 5 = 30 remainder 2
30 / 5 = 6 remainder 0
6 / 5 = 1 remainder 1
1 / 5 = 0 remainder 1
762 in decimal = 11022 in pentalThen 0.78125 to pental:
0.78125 × 5 = 3 + 0.90625
0.90625 × 5 = 4 + 0.53125
0.53125 × 5 = 2 + 0.65625
0.65625 × 5 = 3 + 0.28125
0.28125 × 5 = 1 + 0.40625
0.40625 × 5 = 2 + 0.03125
0.03125 × 5 = 0 + 0.15625
0.15625 × 5 = 0 + 0.78125
0.78125 × 5 = 3 + 0.90625
0.90625 × 5 = 4 + 0.53125
Thus, 0.78125 in decimal = 0.3423120034 in pental
Therefore, 762.78125 in decimal = 11022.3423120034 in pental.
What is 2FA.C8 base 16 expressed in Binary form?To convert 2FA.C8 base 16 to binary form, we use its value in decimal for conversion.
2FA.C8 base 16 = 762.7812510 base 10Then, convert 762.7812510 to binary as follows:
First the integral part is converted to binary by repeated division by 2The fractional part is converted to binary by repeated multiplication by 2 until we get to zero (here, we calculate up to ten digits)add the integral and fractional part together762 / 2 = 381 remainder 0
381 / 2 = 190 remainder 1
190 / 2 = 95 remainder 0
95 / 2 = 47 remainder 1
47 / 2 = 23 remainder 1
23 / 2 = 11 remainder 1
11 / 2 = 5 remainder 1
5 / 2 = 2 remainder 1
2 / 2 = 1 remainder 0
1 / 2 = 0 remainder 1
762 base 10 = 1011111010 base twoThen 0.78125 to binary:
0.78125 × 2 = 1 + 0.5625
0.5625 × 2 = 1 + 0.125
0.125 × 2 = 0 + 0.25
0.25 × 2 = 0 + 0.5
0.5 × 2 = 1 + 0
0.78125 base 10 = 0.11001 base two
Therefore, 762.78125 base 10 = 1011111010.11001 base two.
Learn more about base conversion at: https://brainly.com/question/17946394
Imagine this: The government has passed a new law: there will be no music allowed, of any kind, anywhere! Create a presentation addressing the President where you defend the value of music to humankind. Be sure to include:
The three roles of music
Financial benefits of concert attendance to the community
Academic and emotional benefits of music
Two scenarios that demonstrate what you imagine life will be like if the law stands and music is not allowed
Specifics:
Presentation must be at least ten slides long
Presentation must include four photos and one video
Please use at least four sources and list them on the last slide
It is fine to use internet sources, but be sure that they are trustworthy. Good internet sources are ones like: government websites (.gov), national and regional newspapers, academic journals, or books that are available in digital format
Answer: music is how we move on we can clean up why music is playing music is part of our hearts it can help keep calm to our hearts other people hearts to other people listen to other music, people and dogs, cats and other animals listen to music to they dance, most importantly they can help you sing and learn dance moves and other stuff people like dancing and sing to the music and they love other music that can keep them calm, even have music in gyms, stores, malls, and other places music is a part of our lives and no one can stop us from playing except for the government. The government can see if we playing music so watch out but music is a part of our lives so please dont take the music down
branliest please iv been typing this for half an hour
The presentation defends the value of music by highlighting its roles, financial benefits, academic and emotional advantages, and potential consequences of a music ban.
The presentation bullet pointsPresentation: Defending the Value of Music
Introduction:
- Address to the President regarding the importance of reconsidering the ban on music.
Role of Music:
1. Artistic Expression:
- Music as a powerful means of artistic expression, reflecting diverse emotions and cultures.
- Enables individuals to convey feelings and thoughts that words alone cannot express.
2. Universal Language:
- Music transcends language barriers, connecting people from different backgrounds.
- Promotes understanding, unity, and global harmony.
3. Emotional Solace:
- Music's therapeutic effect on mental well-being, reducing stress and anxiety.
- Offers a way to cope with life's challenges and connect with our emotions.
Financial Benefits of Concerts:
- Concert attendance stimulates local economies:
- Boosts revenue for local businesses, such as restaurants, hotels, and shops.
- Increases tourism, leading to job creation and economic growth.
Academic and Emotional Benefits:
- Academic Advantages:
- Studies show music enhances cognitive skills, improving memory, problem-solving, and creativity.
- Supports learning in subjects beyond music.
- Emotional Benefits:
- Music as a source of comfort during difficult times.
- Fosters emotional intelligence, empathy, and self-expression.
Scenarios Without Music:
1. Social Gatherings:
- Without music, celebrations lack vibrancy and energy.
- Diminished cultural and social interactions at gatherings.
2. Education System:
- Music contributes to a well-rounded education, fostering creativity and discipline.
- Absence of music results in a less dynamic and engaging learning environment.
Conclusion:
- Urgent call to reconsider the ban on music:
- Acknowledge music's integral role in human life.
- Preserve its positive impact on society, economy, education, and emotional well-being.
Closing Remarks:
- Thank the President for considering the importance of music to humankind's holistic development.
Learn more about presentation at:
https://brainly.com/question/24653274
#SPJ3
Help or the imposter will find you.
Answer:
1/4x... = 3; 3.2b = 7; 4.6y = -2; 7.5c = -3
Isolate the variable.
8th grade math. I think
Answer:
113.04 ft^2
Step-by-step explanation:
A= πr^2 = π(6)^2 = π(36) = 113.04
АВС аnd
APQR are similar. Find the missing side length.
The surface area of the figure below is 1,620 square feet. True or false
what is the value of 5 at is used in this 102,587
Answer:
hundreds
Step-by-step explanation:
It is the third digit from right which is 100
Another example say 700 what is the value of the 7=hundreds because it it 3rd digit from right
Hope it helps :)
pahelp po guys thank u po
Answer:
Hello there, hope it's help !! :)
To divide a multiple of 10:
Find a division fact to start with
Look at the remaining zeros
Subtract the number of remaining zeros in the divisor from the number of remaining zeros in the dividend
-
POS systems are most effective when combined with
A stack of books is 24 inches high.
Each book in the stack is 3/4 inch thick
How many books are in the stack?
Answer:
32
Step-by-step explanation:
Let's say n such books make up the stack.
If each book is 3/4 inch thick, it contributes 3/4 to the total height of the stack – 24 inches.
==> number of books × 3/4 = 24
(to get this result add the heights of n such book, and equate it to 24. You'll get something like:
3/4 + 3/4 +. . . . n times = 24
And that's what's meant by 3/4 × n = 24)
==> n × 3/4 = 24
multiply both sides by 4
==> n × 3 = 24 × 4
divide both sides by 3
==> n = (24 × 4)/3
==> n = 8 × 4
==> n = 32
We assumed the number of books to be n.
so the answer is:
32 books, each if height 3/4 inch, are required to build a stack 24 inches high.
Your boss hands you a memo with a summary of the monthly data. The number of imports is shown as fx), and the number of exports is shown as gx). Use the data in the table below, representing both functions, to explain to your boss the solution to the system of equations and what that solution represents. Use complete sentences.
Answer:
The solution to the system of equations would be if the number of imports and exports are the same. In this case, the solution is January because the number of imports and exports are both 3.
Step-by-step explanation:
I’m smart
Phillip hod 45 marbles. He gave 2/3 to his Brother. How many marbles did he give to his Brother?
Answer:
15
Step-by-step explanation:
3/3 = 45
2/3 = ?
3/3 - 2/3 = 1/3
1/3 * 45 = 15
Answer:
30
Step-by-step explanation:
45/3=15
15x2=30
10 man construct a building in 40 days . how long will it take 20 man to do this work ?
Answer:
20 days
Step-by-step explanation:
What’s the correct answer for the question?
Step-by-step explanation:
the dosage information bases only on age, on weight and the level of the fever. but we have no information about the fever.
so, we assume the fever is below 102.5° F.
the age is with 18 month in the valid range (0.5 to 2 years old) for the dosage.
so, all is left is to do the calculation about the weight.
24 pounds is based on the given information (1 kg ≈ 2.2 pounds) :
24/2.2 = 10.909090909... kg
this is rounded to full kg : 11 kg
the child should get 5 mg per kg, so this child has to get
5×11 = 55 mg
What is the answer to 5x6+8+9-5 Pls help i dont remember pemdas mean
Answer:
The answer is 42
Step-by-step explanation:
PEMDAS=
parenthesis, exponents, multiplication, division, addition, subtraction.
Answer:
The answer is 42
PEMDAS: parentheses, exponents, multiplication, division, addition, subtraction
Rectangular park is 85m wide and 125 long. Given the length and width of another rectangular park that has the same perimeter but a larger area.
HAHAHHAHHAHAHAHAHAHAHAHAHHA
Answer:
relaaaaaaa gezzzzzzzzzzzzzzzzzzzzzzzz
Step-by-step explanation: