First we have to plot two points per graph
Function 1
y=-2x+30
Points
x y
0 -2*0 + 30 = 30
10 -2*10 + 30 = 10
Points: (0,30) and (10,10)
Function 2
y=6x+41
Points: (0,41) and (1,47)
x y
0 6*0 + 41 = 41
1 6*1 + 41 = 47
Then we plot the graph
From the graph we can deduce that the year when travel agents and Internet were used equally was approximately 1999 ( one year before 2000)
Drawing a number divisible by 3 then drawing a 1
Answer:
Step-by-step explanation:
The probability of drawing a number that is divisible by 3 is 1/3, since there are 3 numbers (3, 6, and 9) out of the 9 possible numbers (1, 2, 3, 4, 5, 6, 7, 8, and 9) that are divisible by 3.
The probability of drawing a 1 after drawing a number that is divisible by 3 is 1/10, since there is only one 1 among the 10 possible digits (0-9) that could be drawn after the first number.
To find the probability of both events happening together (drawing a number divisible by 3 and then drawing a 1), we need to multiply the probability of the first event by the probability of the second event. Therefore, the probability of drawing a number divisible by 3 and then drawing a 1 is:
(1/3) x (1/10) = 1/30
So the probability of drawing a number divisible by 3 and then drawing a 1 is 1/30, or approximately 0.0333, or about 3.33%
Answer:
If I understand this correctly you can draw a 9 and then draw the one if I'm wrong just delete this
Step-by-step explanation:
This 3rd and 2nd grade lvl paper dont ask why
Answer:
Across
Evapotranspiration is the sum of evaporation from plants.
Earth is surrounded by invisible gases that form a thin protective blanket that we call the atmosphere.
Water flows downhill because gravity is a form of potential energy – and the water, or anything that falls or rolls downward – flows in response to differences in potential energy (from high to low). ... Therefore, the potential energy that drives groundwater movement includes both pressure and gravity.
Precipitation: hail, rain, freezing rain, sleet and snow.
Condensation is the opposite of vaporization. Condensation occurs when a gas loses energy, slows in motion so that its cohesive force pulls the molecules close, but the molecules still have enough energy to break away from one connection only to connect with another molecule.
Down
Alternatively evaporation of the liquid should leave a solid residue. ... Dissolving is a reversible process and the solute can be recovered from a solution by evaporation though it will not always be in the exactly the same form as at the start.
Boiling. If a liquid is heated the particles are given more energy and move faster and faster expanding the liquid.
Answer: No entiendo la historia y no vengas por mí, solo quería los puntos jajaja
Step-by-step explanation:
plzzzzzz help meeeee
Answer:
Step-by-step explanation:
For A, 7x=21, it is asking, 7 multiplied by what number is 21? We can try to figure it out. Let's start with 0.
7(0)≠21
Then 1.
7(1)≠21
7(2)≠21
7(3)=21
Therefore, for question a, the answer is 3.
For question b, it's asking 6 minus what is 2.
With this one, we can say it is 4, since 6-4=2.
Now moving on to B.
a) 2x+4=16
We need to isolate x in order to find it's value.
So we can begin with subtracting 4 from both sides, getting us:
2x=12
Then, if we divide both terms by 2, we get x.
x=12/2
x=6.
b)
3 x (z/4)=9
Again, we need to isolate z.
So, we multiply both sides by 4, getting us
3z=36
then we divide by 3
z=36/3
z=12
c) 16-x=2
Here we simply subtract 16 from each side, then flip the signs to get positive x.
So, 16-x=2
-x=-14
x=14
d) 4k=20
This is essentially asking, 4 times what number is 20?
So we can divide both sides by 4 and get
k=20/4
k=5
Explain why it is important to have a good credit history.
Answer:
A good credit score is used for more than just getting a credit card or a loan. Credit scores demonstrate your history of paying your debts to entities that loan you money. Due to extending themselves beyond their means, many people are not able to pay their debts
Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not, state your answer as divergent.
The integral\int(1/x^4 + 9x^2) dx converges by comparison to a convergent integral, and its value is 1/3
To determine whether the integral converges or diverges, we can use the limit comparison test with the integral:
Since for all x > 0, we have:
Thus, by the limit comparison test:
converges if and only if converges.
We can evaluate using the power rule of integration:
where C is the constant of integration. Evaluating this integral from 1 to infinity, we get:
∫(1/x^4) dx from 1 to infinity = lim as b → infinity
=>
=> 0 - (-1/3)
=> 1/3
Since the integral dx converges by comparison to a convergent integral, and its value is 1/3.
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Note: The full question is
Determine whether the integral converges or diverges; if it converges, evaluate. (If the quantity diverges, enter DIVERGES. Do not use the [infinity] symbol in your answer.) [infinity] dx x4 + 9x2 1
Kylie and miranda began arguing about who did better on their tests, but they couln't decide who did better given that they took different tests, kylie took a test in Art History and earned a 77.3, and Tan took a test in English and earned a 62.9. Use the fact that all the students' test grades in the Art History class had a mean of 73 and a standard deviation of 10.7, and all the students' test grades in English had a mean of 66.8 and a standard deviation of 10.8 to answer the following questions.
a) Calculate the Z-score for Isaac's test grade.
b) Calculate the 2-score for lan's test grade.
c) Which person did relatively better?
A. Kylie
B. miranda
C. They did equally well.
Answer:
a) 77.3-73/10.7= 0.40187
b) 62.9-66.8/10.8= -0.36111
c) Kylie did relatively better
Step-by-step explanation:
Compute P7,2. (Enter an exact number.)
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Answer:
42
Step-by-step explanation:
The permutation formula is P(n, r) = n! / (n - r)!. We know that n = 7 and r = 2 so we can write:
7! / (7 - 2)!
= 7! / 5!
= 7 * 6 * 5 * 4 * 3 * 2 * 1 / 5 * 4 * 3 * 2 * 1
= 7 * 6 (5 * 4 * 3 * 2 * 1 cancels out)
= 42
Answer:
\(\boxed{42}\)
Step-by-step explanation:
Apply the permutation formula.
\(P(n,r)=\frac{n!}{ (n-r)!}\)
\(P=number \: of \: permutations\\n=total \: number \: of \: objects \: in \: the \: set\\r=number \: of \: choosing \: objects \: from \: the \: set\\\)
\(n=7\\r=2\)
Plug in the values and evaluate.
\(P(7,2)=\frac{7!}{ (7-2)!}\)
\(P(7,2)=\frac{7!}{ (5)!}\)
\(P(7,2)=\frac{5040}{120}\)
\(P(7,2)=42\)
write a statment about what you think of harry potter
Answer:
DRACO MALFOY- i don't think this needs a further explanation. :)
Step-by-step explanation:
- Malfoy...DRACO Malfoy..
-Scared, Pottah?
-Honestly, Goyle, if you were any slower, you'd be going backwards.
-ItS kiLleD mE
-You and your bLOody ChiCKen
mk im done:)
An auto body shop repaired 22 cars and trucks. There were 8 fewer cars than trucks. How many trucks were repaired. URGENT PLEASE HELP
If an auto body shop repaired 22 cars and trucks and there were 8 fewer cars than trucks, 15 trucks were repaired.
Let's assume the number of trucks repaired is "x". We know that the total number of cars and trucks repaired is 22. Since there were 8 fewer cars than trucks, the number of cars repaired must be x-8. Therefore, we can set up the following equation:
x + (x-8) = 22
Simplifying, we get:
2x - 8 = 22
Adding 8 to both sides:
2x = 30
Dividing by 2:
x = 15
We can check this by plugging x back into the equation and verifying that the number of cars repaired is 7, which is 8 fewer than 15.
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Can someone check my work please!!? Be quick
I just realized the answer is -4. oops my bad
An arrow is shot from 3 ft above the top of a hill with a vertical upward velocity of 108 ft/s. If it strikes the plain below after 9.5 s, how high is the hill?
If the arrow is launched at t0, then write an equation describing velocity as a function of time?
The height of the hill is approximately 25.73 ft. Where v0 is the initial velocity (108 ft/s), g is the acceleration due to gravity \((-32.2 ft/s^2)\),
To find the height of the hill, we can use the formula for the vertical position of an object under constant acceleration:
h = h0 + v0t + 1/2at^2
where h is the final height, h0 is the initial height, v0 is the initial velocity, t is the time, and a is the acceleration due to gravity (-32.2 ft/s^2).
In this case, we are given that the initial height h0 is 3 ft, the initial velocity v0 is 108 ft/s, and the time t is 9.5 s. We want to find the height of the hill, which we can denote as h_hill. The final height is the height of the plain, which we can denote as h_plain and assume is zero.
At the highest point of its trajectory, the arrow will have zero vertical velocity, since it will have stopped rising and just started to fall. So we can set the velocity to zero and solve for the time it takes for that to occur. Using the formula for velocity under constant acceleration:
v = v0 + at
we can solve for t when v = 0, h0 = 3 ft, v0 = 108 ft/s, and a = -32.2 ft/s^2:
0 = 108 - 32.2t
t = 108/32.2 ≈ 3.35 s
Thus, it takes the arrow approximately 3.35 s to reach the top of its trajectory.
Using the formula for the height of an object at a given time, we can find the height of the hill by subtracting the height of the arrow at the top of its trajectory from the initial height:
h_hill = h0 + v0t + 1/2at^2 - h_top
where h_top is the height of the arrow at the top of its trajectory. We can find h_top using the formula for the height of an object at the maximum height of its trajectory:
h_top = h0 + v0^2/2a
Plugging in the given values, we get:
h_top = 3 + (108^2)/(2*(-32.2)) ≈ 196.78 ft
Plugging this into the first equation, we get:
h_hill = 3 + 108(3.35) + 1/2(-32.2)(3.35)^2 - 196.78
h_hill ≈ 25.73 ft
If the arrow is launched at t0, the equation describing velocity as a function of time would be:
v(t) = v0 - gt
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If you can help me with this whole thing i will be forever in your dept
Jesse and Amir were assigned the same book to read. Jesse started reading on Saturday, and he is reading 30 pages a day. Amir didn't start until Sunday, but he is reading 35 pages a day.
How many days will it take Amir to catch up to Jesse, and how many pages will they each have read?
Answer the questions to solve this problem using a system of equations.
1. Write an equation to represent the number of pages Amir has read. Use x to represent the number of days Amir has been reading and y to represent the number of pages he has read.
Write your answer in the space below.
2. Write an equation to represent the number of pages Jesse has read.
Using x, the number of days Amir has been reading, write an expression to represent the number of days Jesse has been reading. Remember that Jesse started reading one day before Amir. Use this expression to write an equation for the number of pages Jesse has read. Let y represent the number of pages read.
Write your answer in the space below.
3. Write the system of equations using your answers from questions 1 and 2.
Write your answer in the space below.
4. You will use substitution to solve this system. Which variable will you substitute for and why? Show the equation that results from the substitution.
Write your answer in the space below.
5. Solve the system of equations. Show your work.
Write your answer in the space below.
6. Interpret your solution. How many days does it take Amir to catch Jesse? At that time, how many pages have they read?
Write your answer in the space below.
Answer:
Answer:
6 days
210 pages
Step-by-step explanation:
As stipulated by the question, let the number of days Amir has been reading be x and the number of pages he had read to be y.
Now since he reads 35 pages per day.
Then mathematically;
y = 35x
For Jesse, He started reading a day before, this means that the number of days he had read would be x + 1. Since he reads 30 per day, the total number of pages he would have read is 30(x+1)
To find the number of days which is x, we have to assume that at a point in time, the number of books they would have read would be the same meaning that
Also; y = 30(x + 1)
Equating the two situations
35x = 30(x + 1)
35x = 30x + 30
35x -30x = 30
5x = 30
x = 30/5
x = 6 days
This means that it will take Amir 6 days to catch Jese.
The number of books they would have read by then is y = 35x = 30(x + 1)
= 35 * 6 or 30(6+1)
= 210
Step-by-step explanation:
Answer: dude above me copied
Step-by-step explanation:
1. y = 35x
2. y = 30x + 1
3. y = 35x
y = 30 x + 1
4. Its more convenient to substitute y because It's easier.
35x = 30(x + 1)
5. 35x = 30x + 1
35x = 30x + 30
35x -30x = 30
5x = 30
x = 6 (30/5 = 6)
35 x 6 = 210 (y)
6. Both people have read 210 pages and it takes amir 6 days to catch up.
What the meaning of "a sequence of length n"?
In mathematics, a sequence is an ordered list of elements, often denoted by brackets or parentheses.
What the meaning of "a sequence of length n"?The term "a sequence of length n" refers to a sequence that contains a specific number of elements, where the number of elements is denoted by "n."
When the domain of a function is the set of natural numbers (N), it is called an infinite sequence. An infinite sequence can be thought of as an ordered list that continues indefinitely.
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J has coordinates of (10,-2) and N has coordinates (-4,6) find the midpoint of JN
What is the slope of the line represented by the equation y = 4/5x - 3?
-3
-4/5
4/5
3
Answer:
4/5 is the slope of the line represented by the equation y = 4/5x - 3
Is 4.11 >,<, or = 4.101?
Answer:
4.101
Step-by-step explanation:
4.101
Answer:
4.101 is greater than 4.11
Step-by-step explanation:
4.101 ia greater in value
fill in the mission numbers to make the fractions equivalent. 1/2 and /8= 4/12 and /60= 2/3 and /12= 4/4 and /8=
To make the fractions equivalent, we need to find the missing numerators that would make them equal. Let's fill in the missing numerators:
1/2 and __/8
To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:
1/2 and 4/8
Now, the fractions are equivalent.
---
4/12 and __/60
To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 5:
4/12 and 20/60
Now, the fractions are equivalent.
---
2/3 and __/12
To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:
2/3 and 8/12
Now, the fractions are equivalent.
---
4/4 and __/8
To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 2:
4/4 and 8/8
Now, the fractions are equivalent.
Mia hired a moving company. The company charged $500 or its services, and Mia gives the movers a 16% tip.
Answer:
The company charged $500 for its services,and Mia gives the movers a 16% tip. Now, we can add the tip amount to the cost of the service to find the total amount Mia paid: Total amount = Cost of service + Tip amount = $500 + $80 = $580
Step-by-step explanation:
Express the recurring decimal 0.004 as a fraction.
Answer:
The recurring decimal 0.004 in friction is 1/250
Answer:
Step-by-step explanation:
Let x=0.004444....
1000x-100x=4.444... -0.444...
900x=4
x=4/900=1/225
5945 divided by 612??
Answer:
9 437/612
Step-by-step explanation:
Just divide the answers and simplify
in the table below x represents miles traveled and y represents the cost to travel by train what is the y intercept of this function?
Answer:
im pretty sure its 2.25...
Step-by-step explanation:
hope this helps:)
Which table represents the statement "A computer repairman makes $25 per hour"?
Answer:
Table number 3
Step-by-step explanation:
25+25=50
50+25=75
Answer:
C
Step-by-step explanation:
For every 1 hour(h) 25 dollars(d) gets added. You can multiply 25 with however many hours you need to get the answer.
example: 4 hours would be 100 because 25×4=100
Which algebraic expression represents this phrase?
the product of 50 and the number of employees
• A. 50
n
• B. 50 • n
• C. 50 + n
• D. 50 - n
Answer: B
Step-by-step explanation:
'Product' means to multiply, in this case, we are multiplying 50 and n.
Please help quickly as possible Thank you!
Answer:
A) \(\frac{3}{8}\), \(\frac{2}{5}\), \(\frac{1}{2}\), \(\frac{7}{10}\)
B) 2.53, 32.51, 514.37
Step-by-step explanation:
A) Multiply all of them to equal 80
1/2 = 40/80 (1 x 40) (2 x 40)
2/5 = 32/80 (2 x 16) (5 x 16)
3/8 = 30/80 (3 x 10) (8 x 10)
7/10 = 56/80 (7 x 8) (10 x 8)
B) Decimals are easy 1.10 < 1.20 since one is still greater than the other.
I can classify triangles by their angles and sides
A. Strongly agree
B. agree
C. disagree
D. Strongly disagree
Brennan knew his parents had set up their will some years ago. Neither he nor his sister, Maureen, had ever discussed the will with their parents. When both parents passed away, they met with the family lawyer about the will. What they found was that the money their parents had been giving them over the last few years was a gift and part of their estate planning. The gifts reduced the size of the estate to ensure the value of the estate upon their passing would be under the tax-free limit.
Their parents had not really talked with Brennan or Maureen about how the “gift” money they had been receiving would affect their final inheritance. As they listened to
the estate lawyer give them details of their inheritance, they were shocked to learn there was less than what they had thought.
1. Discuss your thoughts on how Brennan’s and Maureen’s parents handled the informationin the will prior to their passing. Should the parents have explained more clearly about the “gift” money and how it affected their inheritance?
2. What responsibility did Brennan and Maureen have to discuss the will with their parents?
3. What experience do you have with a family member’s will? How would you approach
the topic of writing a will with a family member?
1.It is generally considered best practice for parents to discuss their intentions with their children and heirs to avoid confusion or misunderstandings.
2.As potential heirs, Brennan and Maureen had a responsibility to communicate with their parents about their estate planning and express any concerns or questions they had.
3.I have personally not had experience with a family member's will. However, I believe it is important to approach the topic of writing a will with sensitivity and empathy.
1. While it is understandable that Brennan and Maureen's parents may have wanted to keep their financial affairs private, their lack of communication may have caused confusion and disappointment for their children. Ideally, the parents should have discussed their estate planning with their children and explained the impact of the gifts on their final inheritance.
2. As potential heirs, Brennan and Maureen had a responsibility to communicate with their parents about their estate planning and express any concerns or questions they had. While it can be difficult to broach sensitive topics like death and inheritance, it is important for family members to have open and honest communication to prevent misunderstandings or disputes down the line.
3. It can be a difficult and emotional topic to discuss, but it is important to have open communication to ensure that everyone's wishes are respected and honored. It may be helpful to consult with a lawyer or financial advisor to ensure that the will is properly drafted and that everyone's needs are addressed.
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ABCD is a rhombus. M is the point on [AD] such that [CM] bisects angle ACD. Show that angle DMC is 3 time larger than angle ACM
In a rhombus, all sides are the same length, and the opposite angles are equal. The diagonals also bisect each other at 90 degrees.
What is the specialty of angle in a rhombus?We know that,
A rhombus has two congruent acute and two congruent obtuse angles.
Here we use the terms x and y to represent the angles.
where x is the acute angle
The angles total 360 degrees.
So far, we have:
2(x+y) = 360
By dividing both sides by 2 , we get,
x + y = 180
We can assume y is 3 times larger than x,
That is y = 3x
As a result, the equation becomes,
x + 3y = 180
Calculate the total
4x = 180
As a result, the acute angle is 45 degrees.
Hence we proved that y is 3 times larger than x.
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Can you please help me
Answer:
Step-by-step explanation:
The answer is B
(Giving brainliest to correct answer)
Congruence
Answer:СССР в зеркале
Кто первый спустит курок
Убеждаешь - ложно заявляя свободу личности.
Бушующие войны и П-С-О,
Космос, О-С-В
Брежнев Рейган
Страх оружия С-Я-С
До взаимного уничтожения
Силой и мощью
Союза Советских Республик
Патриоты работают силой порядка
Светлое строят будущее
Наука, Творчество, Семья, Союз,
Образование, Коммуналка, Труд,
Дисциплина, Планировка, Доброта.
Родина – поём тебе,
В верности клянёмся,
Пролетарии всех стран Соединяйтесь
Серп и Молот!
Step-by-step explanation:
10.8.8 Check Your Understanding
Allison went on a business trip and stayed at a hotel for three nights. She paid a total of $782.07 for the room and to
park her car. Each night, the hotel charged d dollars and $17.20 for parking. Which equation represents the total
amount, in dollars, Allison paid for the three nights?
A) d+3(17.20) = 782.07
(B) 3d+17.20 = 782.07
C) 3(d-17.20) = 782.07
D) 3(d+17.20) = 782.07
We can see that the correct equation that can depict the problem is 3(d+17.20) = 782.07. Option D
Which equation shows the total charge?We have to look at the problem that we have here. In the case of the question that we have been asked, we can see that for the problem that has been given here, it is clear that; Allison went on a business trip and stayed at a hotel for three nights. She paid a total of $782.07 for the room and to park her car.
If it is known that Each night, the hotel charged d dollars and $17.20 for parking. We can say that let the amount that is charged for the lodging be d and we have the equation as; 3(d+17.20) = 782.07.
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