Answers
The line perpendicular to the specified lines are straight lines that have the following equations in slope-intercept and point-slope forms
5. y = x/2 + 1
6. y = x/5 - 8
7. y - 8 = (-3/2)·(x - 4)
8. y = x/10 + 2
What is the slope-intercept form of the equation of a straight line?>The slope-intercept form of a linear equation is in the form y = m·x + c
The equation of a line perpendicular to another line that has a slope of m is -1/m
5. The equation of the specified line is; y - 3 = (1/2)·(x - 4)
Therefore;
y - 3 = (1/2)·(x - 4) = x/2 - 2
y = x/2 - 2 + 3 = x/2 + 1
y = x/2 + 1
The slope of the specified equation is therefore, (1/2)
The slope of the line perpendicular to the specified equation is therefore;
-1/(1/2) = -2
The point through which the required line passes = (12, 24)
The equation of the perpendicular line is therefore;
y - 24 = (-2) × (x - 12) = -2·x + 24
y = -2·x + 24 + 24 = -2·x + 48
The equation of the perpendicular line is therefore;
y = -2·x + 48
6. The slope of the line perpendicular to the line y = -5·x + 7 is =5
The slope of the line perpendicular to the specified line is therefore;
-1/(-5) = 1/5
The y-intercept of the line is (0, -8)
The equation is therefore;
y - (-8) = (1/5)·x = x/5
y = x/5 - 8
7. The slope of the specified line is; (3/2), therefore;
The slope of the perpendicular line is therefore;
-1/(3/2) = -3/2
The equation of the line in point asnd slope form is therefore;
y - 8 = (-3/2)·(x - 4)
8. y - 3 = -10·(x - 2)
The slope of the above equation is therefore;
m = -10
The slope of the perpendicular line is therefore;
-1/m = -1/(-10)) = 1/10
The equation in point and slope form is therefore;
y - 0 = (1/10)·(x - (-20)) = (1/10)·(x + 20)
The equation of the perpendicular line in slope-intercept form is therefore;
y = x/10 + 2
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Related Questions
Find the coordinates using A prime and all that!! I hope you know what I mean please help!!!! ASAPP
Answers
Answer:
See picture for steps.
Step-by-step explanation:
A survey was given to a random sample of 400 residents of a town to determine whether they support a new plan to raise taxes in order to increase education spending. Of those surveyed, 168 respondents said they were in favor of the plan. Determine a 95% confidence interval for the proportion of people who favor the tax plan, rounding values to the nearest thousandth.
Answers
The standard error of the sample proportion is sqrt[(0.42)(0.58)/400] = 0.032.
Using a 95% confidence level, the critical value is 1.96.
The margin of error is 1.96 * 0.032 = 0.063.
The 95% confidence interval is 0.42 ± 0.063, which is (0.357, 0.483).
Therefore, we can be 95% confident that the true proportion of people who favor the tax plan is between 0.357 and 0.483.
pleasseeee helppppppp
Answers
Aiden run at a contant peed of 3. 5 meter per econd for 1/2 hour. Then, he walk at a rate of 1. 6 meter per econd for 1/2 hour. How far did Aiden run and walk in 60 minute?
Answers
Aiden run and walk in 60 minute, then the distance = 9180 meters
Given that,
Aiden run at a constant peed of 3. 5 meter per second for 1/2 hour.
Then, he walk at a rate of 1. 6 meter per second for 1/2 hour.
(1) 3. 5 meter per second for 1/2 hour.
We can,
1 hour = 3600 seconds
Then,
\(\frac{1}{2}\) hour = 1800 seconds
Distance is the total movement of an object without any regard to direction. We can define distance as to how much ground an object has covered despite its starting or ending point.
So,
We can write,
Distance = speed * time
3.5 * 1800 = 6300 meters (Equation-1)
(2) 1. 6 meter per second for 1/2 hour.
We can,
1 hour = 3600 seconds
Then,
\(\frac{1}{2}\) hour = 1800 seconds
So,
We can write,
Distance = speed * time
1.6 * 1800 = 2880 meters (Equation-2)
Then,
We can add the equation - 1 and 2,
= 6300 meters + 2880 meters
= 9180 meters
Therefore,
Aiden run and walk in 60 minute, then the distance = 9180 meters
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What does it equal??????
Answers
Answer:
8
Step-by-step explanation:
2*2*2=8
Answer:
it's 8
Step-by-step explanation:
There are 30 candy bars in the box. 18 are milky ways, 3 are Twix and 9 are Snickers. Write the percentage of each kind of candy bar.
Answers
Answer:
18 milky ways = 60%
3 twix = 10%
9 snickers = 30%
Step-by-step explanation:
18/30 = 0.6
0.6 x 100 = 60%
3/30 = 0.1
0.1 x 100 = 10%
9/30 = 0.3
0.3 x 100 = 30%
The n-Firm Cournot Model) Suppose there are n≥2 firms in the Cournot oligopoly model. Let qi denote the quantity produced by firm i, and let Q=q1+⋯+qn denote the aggregate production level. Let P(Q) denote the market price (when demand equals Q ) and assume that demand function is given by P(Q)=a−Q (where Q
If we model firms' production decisions as a static game with complete information, can you show the normal-form representation of this game?
Answers
In the n-Firm Cournot Model, where there are n≥2 firms, each firm determines the quantity it produces in a Cournot oligopoly. The aggregate production level, denoted as Q, is the sum of the quantities produced by all the firms (q1+⋯+qn).
To represent this game as a static game with complete information, we can use the normal-form representation. In the normal-form representation, we describe the strategies and payoffs of each firm.
Let's go through the steps to create the normal-form representation of this game:
1. Identify the players: In this case, the players are the n firms participating in the Cournot oligopoly.
2. Determine the strategies: Each firm chooses the quantity it will produce, denoted by qi, where i represents the firm number. The quantity produced by each firm is the strategy of that firm.
3. Define the payoff function: The payoff for each firm depends on the market price, which is determined by the aggregate production level Q. The market price, P(Q), is given by the demand function P(Q) = a - Q.
4. Calculate the payoff for each firm: The payoff for each firm depends on the quantity it produces and the market price determined by the aggregate production level. The payoff can be calculated using the formula πi = P(Q) * qi, where πi represents the payoff for firm i.
5. Construct the normal-form representation: The normal-form representation is typically presented as a matrix, where each row represents a strategy profile (combination of quantities produced by the firms) and each column represents a player's strategy (quantity produced by a single firm). The entries in the matrix represent the payoffs for each firm.
For example, let's consider a 3-firm Cournot oligopoly with demand function P(Q) = a - Q. Firm 1, 2, and 3 have the strategies q1, q2, and q3, respectively. The payoffs can be calculated as follows:
- Payoff for firm 1: π1 = (a - Q) * q1
- Payoff for firm 2: π2 = (a - Q) * q2
- Payoff for firm 3: π3 = (a - Q) * q3
The normal-form representation matrix would look like this:
| Firm 1\2\3 | q1 | q2 | q3 |
|------------|--------|--------|--------|
| q1 | π1,1 | π1,2 | π1,3 |
| q2 | π2,1 | π2,2 | π2,3 |
| q3 | π3,1 | π3,2 | π3,3 |
Each entry in the matrix represents the payoff for each firm based on the combination of quantities produced by the firms.
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TEXT ANSWER
Use the multiplication rule to simplify:
b7 . b²
Answers
Tip: When writing math questions, the coefficient would go in front of variables: 7b*\(b^2\)
Anyways, in this case, since we cannot mutiply 7 by b, the 7 will stay put
But.... we can mutiply b by b
\(b^2\)\(*b\)=b^3
Tip: B's with no exponent has an exponent with one
Questions?
So,7 will stay put and b and b^2 will simply to b^3
\(7b^3\)=Answer
Boden's account has a principal of $600 and a simple interest rate of 3.9%. Complete the number line. How much money will be in the
Answers
Answer:
Step-by-step explanation:
If Boden's account has a principal of $600 and a simple interest rate of 3.9%, then the interest he earns each year can be calculated as follows:
Simple Interest = Principal * Rate * Time = $600 * 3.9% * 1 = $23.40
So, after one year, the amount of money in the account will be $600 + $23.40 = $623.40
This process can be repeated for multiple years to find the amount of money in the account for a specific time period.
If f(x) = -2x + 4, then f-1(x) =
Answers
I DONT KNOW ANYTHING ABOUT THIS
Answers
Answer: A.
Step-by-step explanation:
Your change in y is +1120 and your change in x is +1
1120/1 = 1120, so she is at a constant speed/rate of 1120 per minute
I need some help with this please
Answers
Answer:3 7/12 m
so first you want to add the whole numbers first so 1 + 2 = 3
then you want to add the fractions but they are not the same so you need to convert them into the same fraction 1/4 and 1/3 can both be turned into 12ths so you need to multiply the numerator and the denominator by the same number so 4 x 3 and 1 x 3 for the other fraction it would be 3 x 4 and 1 x 4 to get 3/12 and 4/12 then you can add them together to get 7/12 then add the whole number 3 + 7/12 = 3 7/12
Tanya bought three adult tickets and one children's ticket to a movie for 24.60 Li bought five adult tickets and four children's tickets for 50.10 . Find the cost of one adult ticket and the cost of one children's ticket.
Answers
Answer:
adult tickets 6.9
children tickets 3.9
Step-by-step explanation:
3x + y = 24.60 L1
5x + 4y = 50.10 L2
5L1 - 3L2
15x + 5y = 123
-15x - 12y = -150.3
-7y = -27,3
y = -27,3/-7
y = 3.9
3x + y = 24.60
3x + 3.9 = 24.60
3x = 24.60 - 3.9
3x = 20.7
x = 20.7 / 3
x = 6.9
Whats 7 rounded to one decimal place?
Answers
game where created character is assigned to player and they must use random item cards in order to win
Answers
One game that fits the description is a deck-building card game called "RandomQuest." In this game, each player creates their own unique character at the beginning by selecting different attributes, abilities, and starting equipment. These choices determine the character's overall strength and capabilities.
During gameplay, players are dealt a hand of random item cards from a shared deck. These item cards represent weapons, armor, spells, potions, and other useful items that the character can utilize. The goal is to strategically use these item cards to overcome challenges and defeat enemies.
The outcome of each encounter is determined by a combination of factors, including the player's character attributes, the chosen item cards, and the random elements introduced by the game mechanics. Each item card has specific effects and values, such as attack power, defense bonuses, or special abilities, which contribute to the character's overall performance.
To calculate the chances of winning, players must consider the strength of their character, the capabilities of their opponents, and the potential synergies between the item cards they possess. They should strategically choose which item cards to play in each encounter, considering factors like the enemy's weaknesses, their own character's strengths, and the potential risks and rewards of each card.
"RandomQuest" is a deck-building card game where players use randomly assigned item cards to win encounters and overcome challenges. Through strategic decision-making and synergistic card combinations, players can maximize their chances of success and achieve victory.
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What is -(-2.5)?
This thing is making me type more words so there.
Answers
Answer: 2.5
Step-by-step explanation:
A negative of a negative is a positive.
Answer:
2.5
Step-by-step explanation:
Just make everything inside the parentheses opposite of what it is
-2.5 becomes 2.5 because double negative
In the equation below a is a number between 0 and 1 8 x a = b which statement about the value of b is always true
Answers
Answer:
See Explanation
Step-by-step explanation:
Given
\(0 \le a \le 1\)
\(8*a =b\)
Required
Determine the true statement about b
The question is incomplete as options are not given. However, a general explanation is as follows:
Rewrite \(8*a =b\)
\(b = 8 * a\)
When a = 0
\(b = 8 * 0 = 0\)
When a = 1
\(b = 8 * 1 = 8\)
This means that:
For \(0 \le a \le 1\)
Then \(0 \le b \le 8\)
This means that: b is a number between 0 and 8
If one or more data items are much greater than the other items, the mean, rather than the median, is more representative of the data.
a. True
b. False
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The given statement is FALSE.
If one or more data items are much greater than the other items, the median, rather than the mean, is more representative of the data.
When one or more data items are much greater than the other items, these extreme values can greatly influence the mean.
When you have a skewed distribution, the median is a better measure of central tendency than the mean
The median and mean can only have one value for a given data set. The mode can have more than one value
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how large should we take n in order to guarantee that the trapezoidal and midpoint rule approximations for 2 1 1 x dx are accurate to within 0.00002?
Answers
To guarantee accuracy within 0.00002 for trapezoidal and midpoint rule approximations for ∫21 1x dx, we must take n ≥ 92 for the trapezoidal rule and n ≥ 65 for the midpoint rule.
To guarantee that the trapezoidal and midpoint rule approximations for ∫21 1x dx are accurate to within 0.00002, we need to find the value of n that satisfies the following inequalities:
|ET| ≤ (b-a)³ / (12n²) * M₂ for the trapezoidal rule
|EM| ≤ (b-a)³ / (24n²) * M₂ for the midpoint rule
Where M₂ is the maximum value of the second derivative of the function f(x) = 1/x on the interval [1,2], b-a = 2-1 = 1, and ET and EM are the true errors for the trapezoidal and midpoint rules, respectively.
Taking the second derivative of f(x), we get f''(x) = 2/x³. The maximum value of this function on the interval [1,2] is M₂ = 2.
Plugging in the values of M₂, b-a, and the desired accuracy into the inequalities, we get:
|ET| ≤ (1)³ / (12n²) * 2 ≤ 0.00002
|EM| ≤ (1)³ / (24n²) * 2 ≤ 0.00002
Solving for n, we get:
n² ≥ (1)³ / (12 * 0.00002) * 2 = 8333.33 for the trapezoidal rule
n² ≥ (1)³ / (24 * 0.00002) * 2 = 4166.67 for the midpoint rule
Taking the square root of both sides, we get:
n ≥ 91.29 for the trapezoidal rule
n ≥ 64.55 for the midpoint rule
Therefore, to guarantee that the trapezoidal and midpoint rule approximations are accurate to within 0.00002, we should take n ≥ 92 for the trapezoidal rule and n ≥ 65 for the midpoint rule.
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x = 30° is a zero for y = tan 3(x +30°). True or False with justification
Answers
Answer: true
Step-by-step explanation:
true
A table shows a proportional relationship where k is the constant of
proportionality. The rows are then switched. How does the new constant of
proportionality relate to the original one? *
Answers
2x-7=3x-11
plz explain briefly and clearly
from grade 8th linear equations
Answers
Answer:
\(2x - 3x = - 11 + 7 \\ - x = - 4 \\ x = 4\)
Step-by-step explanation:
- and - is cut in the second line..
Answer:
x= -4
Step-by-step explanation:
2x-7=3x-11
= 2x-3x=-11 +7
= x= -4
hope it helps you!
Hana writes the equation y=5.5x+11 if she buys 8 books what is the amount spent if she buys 8 books.
Answers
What is the additive inverse of (- 2) ?
Answers
Answer:
2 because it holds the same value as -2 and its the additive inverse
Can someone please help me?
Answers
Answer:
x=1.3
Step-by-step explanation:
Jacque needs to buy some pizzas for a party at her office. She's ordering from a restaurant that charges a \$7.50$ sign, 7, point, 50 delivery fee and 14dollar sign, 14 per pizza. She wants to buy as many pizzas as she can, and she also needs to keep the delivery fee plus the cost of the pizzas under \$60sign, 60. Each pizza is cut into 8 slices, and she wonders how many total slices she can afford. Let P represent the number of pizzas that Jacque buys. 1) Which inequality describes this scenario?
Answers
Answer: 7:50 + 14P<60
The slices I don’t know so find out yourself
Step-by-step explanation: I got it wrong and saw the right answer
-5/12 - (-9/3) what is the answer for this equation
Answers
Answer:
2 7/12
Step-by-step explanation:
Simple fraction problem
An army base had provisions for 300 soldiers for
90 days. After 20 days, 50 soldiers left the army base.
How much longer after this will the food last if the
remaining soldiers consume food at the same rate?
Answers
Answer:
Step-by-step explanation:
An army base had provisions for 300 soldiers for 90 days. After 20 days, there should be provisions enough for 300 soldiers for another 70 days
= 21000 soldier-day
50 soldiers left so there are 300-50 = 250 soldiers left
if they consume food at the same rate, the remaining provisions will last
= 21000/250
= 84 days
The Second Statement is the ____ of the first.
Answers
Answer:
inverse because if your switching the order up it would be inverse
Step-by-step explanation:
Donna puso $ 450 en un 6-certificado de depósito mensual que gana 4.6% de interés anual simple. ¿Cuánto interés ganó el certificado me ayudas plis
Answers
El certificado de depósito ganó un interés de aproximadamente $1.72. Cabe mencionar que este cálculo se basa en la suposición de que el certificado de depósito no tiene ninguna penalización o retención de impuestos.
Para calcular el interés ganado en el certificado de depósito, necesitamos utilizar la fórmula del interés simple: Interés = (Principal × Tasa de interés × Tiempo).
En este caso, el principal es de $450 y la tasa de interés es del 4.6% anual. Sin embargo, debemos convertir la tasa de interés a una tasa mensual, ya que el certificado de depósito es mensual.
Para convertir la tasa anual a una tasa mensual, dividimos la tasa anual entre 12: 4.6% / 12 = 0.3833% (aproximadamente). Ahora tenemos la tasa mensual: 0.3833%.
El tiempo es de un mes, por lo que sustituimos los valores en la fórmula del interés simple: Interés = ($450 × 0.3833% × 1 mes).
Calculando el interés: Interés = ($450 × 0.003833 × 1) = $1.72 (aproximadamente).
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