3x+2y=6 and y=1/3x-11 perpendicular or parallel
Answers
Answer: To determine if two lines are parallel or perpendicular, you have to look at the slopes. For the line y=kx+b, k is the slope.
For two lines y=k1x+b1 and y=k2X+b2 ,When K1=K2, two lines are parallel; when K1=-1/k2, two lines are perpendicular. It doesn't matter whatever b1, b2 are. Hence to save time, you only need to calculate k1 and k2.
To calculate the slope k of any line, you have to change the equation to y=kx+b
For -y=3x-2, k=3/(-1)=-3 (you divide -1 on each side of =, but you don't need to calculate -2/(-1))
For -6X+2y=6, K=6/2=3 (you first move the -6x to right side, it becomes 6x, then divide by 2)
Now you can get the answer: The two lines neither parallel nor perpendicular.
Related Questions
A soccer league has 25 sixth graders, 20 seventh graders, and 15 eighth graders. What is the ratio of 8th graders to 7th graders? ***Write your answer in FRACTION form.
Answers
4. [10 points] List the following functions according to their order of growth from the lowest to the highest. (n-2)!, 10 log (n+100) 100, In² n, 2²n, 3n+1, 0.0052√√n +3logn² + log²n, 0.5, 1000 nlogn + 50, n², (0.3)"
Answers
The correct order of the given functions from lowest to the highest growth is: 0.5(0.3) < (n-2)! < 10 log (n+100) < 100(log²n + 3logn² + 0.0052√√n) < 3n+1 < n² < 1000 nlogn + 50 < (2²n) < In² n.
The given functions are listed below according to their order of growth from the lowest to the highest:
0.5(0.3)(n-2)!10 log(n+100)(100)(log²n + 3logn² + 0.0052√√n)3n+1(n²)1000 nlogn + 50(2²n)In² nTherefore, the correct order of the given functions from lowest to the highest growth is:
0.5(0.3) < (n-2)! < 10 log (n+100) < 100(log²n + 3logn² + 0.0052√√n) < 3n+1 < n² < 1000 nlogn + 50 < (2²n) < In² n.
To learn more about lowest to the highest growth from the given link.
https://brainly.com/question/1669287
#SPJ11
Robert nixes yellow and blue paint in the ratio of three to two if he used 12 gallons of yellow paint how many gallons of blue paint would he use
Answers
Answer: 8 gallons of blue
Step-by-step explanation:
Robert mixes the paint in the ratio:
= 3 yellow : 2 blue
If there are 12 yellow used then direct proportion can be used:
3 : 2
12 : x
Cross-multiplying will give:
3x = 24
x = 24 / 3
= 8 gallons of blue
Please help I don’t get it I’m confused
Answers
i'm providing you the answer if anything
Help pleasee
Mazes has been saving $7 each week, today he spent $77 of the savings, and now he has $42 left,for how many weeks has he been saving
Answers
Answer:
17 weeks
Step-by-step explanation:
add 77 and 42 then divide by 7
PLS HELP MEMEMEMEME
Determine if triangle RST and triangle UVW are or are not similar, and, if they are, state how you know. (Note that figures are NOT necessarily drawn to scale.)
Answers
The two triangles ΔRST and ΔUVW are similar to each other by the SAS property.
What is the similarity?Two objects are said to be comparable if they have the same shape. Therefore, two figures are said to be comparable in mathematics if they share the same shapes, lines, or angles.
Given that there are two triangles ΔRST and ΔUVW. ΔRST has the angle ∠T = 59° and the sides RT = 15 units and ST = 13 units. The other triangle ΔWVU has the angle ∠W = 59° and the sides WV= 52 units and WU= 60 units.
Firstly the two angles are the same,
∠T= ∠W = 59°
The two sides are dilated by a scale factor of 4,
WV / ST = 52 / 13 = 4
WU / RT = 60 / 15 = 4
So these sides are similar.
Hence, from the SAS property, the two triangles are similar.
To know more about similarities follow
https://brainly.com/question/24184322
#SPJ1
Select the correct answer.
If a six-sided die is rolled 30 times, how many times can you expect to get a 6?
Answers
Answer:
5
Step-by-step explanation:
the probability of getting a 6 every time you roll the die once is just 1/6. multiply that by 30 and we get our answer, which is 5 times.
a man's income is rupees 12000 per month if the.If the rate of income tax ia rs2.50 per rs100,how much tax should he pay?
Answers
Answer:
don't know
Step-by-step explanation:
Round your answer to the nearest hundredth.
С
A
?
5
8
B
Answers
Step-by-step explanation:
step 1. since we have a right triangle we can use trigonometry
step 2. <A: 5 is the opposite and 8 is the hypotenuse so we use sine
step 3. sinA = opp/hyp = 5/8
step 4. A = 38.68° using inverse sine on your calculator.
State the domain for the relation. {(2, 6), (-4, 8), (1, -3), (-2, -1)}
a. {-3, -1, 6, 8}
b. {-4, -2, 1, 2}
c. {1, -3, -2, -1}
d. {2, 6, -4, 8}
Answers
An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such that it would produce a mean pressure of 5.5 pounds/square inch. It is believed that the valve performs above the specifications. The valve was tested on 18 engines and the mean pressure was 5.6 pounds/square inch with a standard deviation of 0.8. A level of significance of 0.01 will be used. Assume the population distribution is approximately normal. Determine the decision rule for rejecting the null hypothesis. Round your answer to three decimal places.
Answers
The z-score of 0.3162 is less than 2.33, we fail to reject the null hypothesis. There is not enough evidence to conclude that the valve performs above the specifications.
The null hypothesis is that the valve produces a mean pressure of 5.5 pounds/square inch. The alternative hypothesis is that the valve produces a mean pressure greater than 5.5 pounds/square inch.
The decision rule for rejecting the null hypothesis at a significance level of 0.01 is to reject it if the test statistic (z-score) is greater than 2.33.
To calculate the z-score, we use the formula:
z = (sample mean - hypothesized mean) / (standard deviation / sqrt(sample size))
z = (5.6 - 5.5) / (0.8 / sqrt(18))
z = 0.3162
Since the z-score of 0.3162 is less than 2.33, we fail to reject the null hypothesis. There is not enough evidence to conclude that the valve performs above the specifications.
Learn more about hypothesis here
https://brainly.com/question/606806
#SPJ11
What is the solution for the equation startfraction 5 over 3 b cubed minus 2 b squared minus 5 endfraction = startfraction 2 over b cubed minus 2 endfraction? b = –4 and b = 0 b = –4 b = 0 and b = 4 b = 4
Answers
An equation is formed of two equal expressions. The solution of the equation is 4.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The solution of the equation can be written as,
\(\dfrac{5}{3b^3-2b^2-5} = \dfrac{2}{b^3-2}\\\\5(b^3-2) = 2(3b^3-2b^2-5)\\\\5b^3-10=6b^3-4b^2-10\\\\5b^3-10-6b^3+4b^2+10=0\\\\-b^3+4b^2=0\\\\b^2(-b+4)=0\\\\-b+4=0\\\\-b=-4\\\\b=4\)
Thus, the solution of the equation is 4.
Learn more about Equation:
https://brainly.com/question/2263981
Answer:
c
Step-by-step explanation:
by first considering the angles on line abc show that ac is parallel to df
Answers
Answer:
so you have to use interior and exterior angles to solve
Find the set of all pure and mixed strategy Nash equilibria of the following 2-person game. Show your work. [Hint: Draw the best response correspondences.] Player 2 Player 1 U D U D 2,2 0,0 0,2 0,4
Answers
The set of all pure and mixed strategy Nash Equilibria of the given two-person game is {(U, D), (D, U), (1/3, 2/3), (2/3, 1/3)}.
The given two-person game is shown in the given table below.Player 2Player 1UDUD2,20,00,20,4The given two-person game has two pure strategy Nash equilibria, (U, D) and (D, U).Mixed strategy Nash EquilibriaIn this game, if player 1 selects U with a probability of q, then the expected payoff of player 2 will be: U = 2q + 0 (1 - q) = 2q where 1 - q is the probability of selecting D.
Similarly, if player 1 selects D with a probability of q, then the expected payoff of player 2 will be: D = 0q + 4 (1 - q) = 4 - 4q where 1 - q is the probability of selecting U.
Similarly, if player 2 selects U with a probability of p, then the expected payoff of player 1 will be: U = 2p + 0 (1 - p) = 2p where 1 - p is the probability of selecting D.
Similarly, if player 2 selects D with a probability of p, then the expected payoff of player 1 will be: D = 0p + 2 (1 - p) = 2 - 2p where 1 - p is the probability of selecting U.
If player 1 mixes his strategies, then the best response of player 2 can be obtained as: U = 2q and D = 4 - 4q.
Similarly, if player 2 mixes his strategies, then the best response of player 1 can be obtained as: U = 2p and D = 2 - 2pThe following table can be drawn for the best response of each player.
Best Responses Player 2 Player 1 U D U D BR21 1 2 2 BR12 1/2 1/2 2 0.
By solving the above best responses, the set of all pure and mixed strategy Nash equilibria can be obtained.
SolutionThe pure strategy Nash equilibria are (U, D) and (D, U).Now we will find the mixed strategy Nash equilibria of the given two-person game by solving the best response correspondences of each player.
The set of all pure and mixed strategy Nash equilibria of the given two-person game is {(U, D), (D, U), (1/3, 2/3), (2/3, 1/3)}.
The given two-person game has been given in the table shown below.Player 2Player 1UDUD2,20,00,20,4The two-person game given above can have a pure strategy Nash Equilibrium and mixed strategy Nash Equilibrium, which can be found by plotting the best response correspondences of each player.
The Nash equilibrium can be defined as a state where no player can increase its payoff by changing its strategy given the other player's strategy.The mixed Nash equilibrium can be solved by considering the probability with which each player is playing each of its strategies.
The expected payoff of the player is calculated by multiplying the payoff of each outcome with its probability and then adding up all the values of each outcome after multiplication. Each player tries to choose the strategy that maximizes its expected payoff given the strategy of the other player.
The best response of each player can be plotted on a graph. If the best response of each player coincides, then it is a Nash Equilibrium.
The set of all pure and mixed strategy Nash Equilibria of the given two-person game is {(U, D), (D, U), (1/3, 2/3), (2/3, 1/3)}. The Nash equilibrium can be defined as a state where no player can increase its payoff by changing its strategy given the other player's strategy. The best response of each player can be plotted on a graph. If the best response of each player coincides, then it is a Nash Equilibrium.
To know more about two-person game visit:
brainly.com/question/32776155
#SPJ11
If the children were to share the juice equally, how much would each child get? Show your work.
Answers
Answer:
you are missing part of the question
Step-by-step explanation:
If the coefficient of multiple correlation is \( 0.35 \), the coefficient of multiple determination is approximately Select one: a. \( 0.10 \) b. \( 0.12 \) c. \( 0.14 \) d. \( 0.16 \)
Answers
The coefficient of multiple determination is B. 0.1225
The coefficient of multiple correlation is a measure of the linear relationship between multiple independent variables and a dependent variable. It ranges from -1 to 1, where 1 indicates a perfect positive relationship, -1 indicates a perfect negative relationship, and 0 indicates no relationship.
The coefficient of multiple determination, also known as R-squared, represents the proportion of the variance in the dependent variable that can be explained by the independent variables in a multiple regression model.
To find the coefficient of multiple determination, we square the coefficient of multiple correlation. In this case, since the coefficient of multiple correlation is 0.35, we square it to get the coefficient of multiple determination.
\( 0.35^2 = 0.1225 \)
So, the coefficient of multiple determination is approximately 0.1225.
Now, let's check which option from the given choices is the closest to 0.1225:
a. 0.10
b. 0.12
c. 0.14
d. 0.16
Based on our calculation, the coefficient of multiple determination is approximately 0.1225, which is closest to option b. Therefore, the correct answer is b. \( 0.12 \).
To learn more about coefficient, refer below:
https://brainly.com/question/13431100
#SPJ11
Please help me I’m so sad
Answers
Answer:
Sym
Step-by-step explanation:
Consider the following model:
yhat =2.1+1.0x²
The prediction of y is yhat. What is the estimated marginal effect of x on y when x=1.3?
________
Using the following model and corresponding parameter estimates, predict the (approximate) value of y variable when x=2 :
lny=β₁+β₂x²+u
The parameter estimates are β₁=2 and β₂=1 [Parameter estimates are given in bold font]
a. 2
b. 403.4
c. 103,4
d. 6
Answers
The value of u is not provided, we cannot determine the exact value of y. None of the given options (a, b, c, d) can be chosen as the approximate value of y.
For the first question, you are given the model yhat = 2.1 + 1.0x^2 and you want to find the estimated marginal effect of x on y when x = 1.3. To find the estimated marginal effect, you need to take the derivative of yhat with respect to x. In this case, the derivative would be 2.0x.
Now, substitute x = 1.3 into the derivative:
2.0(1.3) = 2.6.
Therefore, the estimated marginal effect of x on y when x = 1.3 is 2.6.
For the second question, you are given the model \(lny = β₁ + β₂x^2 + u\), with parameter estimates
β₁ = 2 and
β₂ = 1.
To predict the value of y when x = 2, substitute the given values into the model:
\(lny = 2 + 1(2^2) + u\)
lny = 2 + 1(4) + u
lny = 2 + 4 + u
lny = 6 + u
To know more about the value, visit:
https://brainly.com/question/30760879
#SPJ11
the study would use a . the study would use simple random sampling because it would be easy to randomly select of . b. the study would use a . the study would use cluster sampling because the of fall into naturally occurring subgroups. c. the study would use a . the study would use stratified sampling because it would be important to have members from each segment of the population. d. the study is a , because the population is for it to be practical to record all of the responses.
Answers
The study would use a simple random sampling because it would be easy to randomly select. The study would use cluster sampling because the of fall into naturally occurring subgroups. The study would use stratified sampling because it would be important to have members from each segment of the population.
The study is a sample survey, because the population is for it to be practical to record all of the responses.
a. The study would use a simple random sampling because it would be easy to randomly select members of the population. Simple random sampling is a type of probability sampling that is used when the population is homogenous and every member has an equal chance of being selected for the sample.
b. The study would use cluster sampling because the members of the population fall into naturally occurring subgroups. Cluster sampling is a type of probability sampling that is used when the population is heterogeneous and can be divided into naturally occurring subgroups.
c. The study would use stratified sampling because it would be important to have members from each segment of the population. Stratified sampling is a type of probability sampling that is used when the population is heterogeneous and can be divided into segments or strata based on certain characteristics.
d. The study is a sample survey, because the population is too large for it to be practical to record all of the responses. Sample survey is a type of survey that collects data from a sample of the population, rather than the entire population. This is often done when the population is too large or when it is not practical to survey the entire population.
To know more about sampling refer here:
https://brainly.com/question/30759604
#SPJ11
Kiwis are on sale at the grocery store at a price of 10 kiwis
for $4. How much are 15 kiwis at this price?
Answers
Have a nice day
Click to review the online content. Then answer the question(s) below, using complete sentences. Scroll down to view additional questions.
Site 1: "Quadrilaterals"
Site 2: Hierarchy of Figures
Explain why a square must be a rectangle, but a rectangle does not have to be a square. (Site 1)
Answers
A square must be a rectangle because it's a four-sided geometric shape with four right angles and congruent sides, but a rectangle doesn't always have congruent sides.
What is a square?In Mathematics and Geometry, a square can be defined as a type of quadrilateral in which the length of all its four (4) sides are equal in magnitude (congruent) and the sum of all its interior angles is equal to 360 degrees (360°) and it forms a right angle.
What is a rectangle?In Mathematics and Geometry, a rectangle can be defined as a type of quadrilateral in which its opposite sides are equal and all the angles that are formed are right angles.
Read more on rectangle here: https://brainly.com/question/486045
#SPJ1
I NEED HELP ASAP (20 points!!)
2. Given quadrilateral DEFG with vertices D(-3,0), E(-5,4), F(-2,7) and (3,8), use the coordinate rule for a 270° rotation to find the images of the vertices.
Rule: (a,b) =( , )
D(-3,0) = D'( , )
E(-5, 4) = E'( , )
F(-2, 7) => F'( , )
G( 3, 8) = G'( , )
Graph the image D'E'F'G'
Answers
Answer:
Rule:(a,b)=(a,-b)
D(-3,0)=D'(-3,-0)
E(-5,4)=E'(-5,-4)
F(-2,7)F'(-2,-7)
G(3,8)=G'(3,-8)
Can anyone please help me!!
Answers
Starting at one: 2, 5, 8
On a certain hot summer’s day, 496 people used the public swimming pool. The daily prices are $1.75 for children and $2.25 for adults. The receipts for admission totaled $1042.50. How many children and how many adults swam at the public pool that day?
Answers
Answer:
57 children
Step-by-step explanation:
Fing the LCM of 54 and 81
Answers
Step-by-step explanation:
Factor of 54
\( = 2 \times 3 \times 3 \times 3\)
Factor of 81
\( = 3 \times 3 \times 3 \times 3\)
Now ...
Common factor = 3 × 3 × 3
= 27
LCM = common factor × remaining factors..
= 27 × 2 × 3
= 162
In the figure below, m2=56° and mZXWY=153º,
Find m Z1.
Answers
Answer: 97°
Step-by-step explanation:
∠XWY = 153°
∠2 = 56°
∠1 = ?
Solution:∠XWY-∠2=∠1
153°-56°=?
? = 97°
Solve for x.........
Answers
answer:
x = 8
one thing you should know for the sides of isosceles triangles is:
x , x , x\(\sqrt{2}\)
so, now plug in what we have.
since we have 8\(\sqrt{2}\), x would be 8.
please help.... i need help lol
Answers
Answer:
No
Step-by-step explanation:
For a relation to be a function
Each value of x must map to exactly one unique value of y
Here x = 3 → y = 2 and x = 3 → y = - 2
This fact excludes the relation from being a function
The elevator can hold at most 20 people. Which inequality shows the capacity of the elevator.
A
x ≤ 20
B
x > 20
C
x < 20
D
x ≥ 20
Answers
Answer:
A x ≤ 20
Step-by-step explanation:
Find the value of x for the given triangle.
12
19°
Х
Answers
Answer:
180
Step-by-step explanation:
It is one. A strait line so it is 180