Answers
Answer:
Step-by-step explanation:
Sorry bro can’t help you on that one
Related Questions
2x/7-3=2
What is the value of x
Answers
Answer:
35/2 or 17.5
Step-by-step explanation:
2x / 7 - 3 = 2
2x / 7 - 3 + 3 = 2 + 3
2x / 7 = 5
(2x /7) x 7 = 5 x 7
2x = 35
x = 35/2 or 17.5
Answer:
\(x = \frac{35}{2} \)
Step-by-step explanation:
\( \frac{2x}{7} -3=2\)
\( \frac{2x}{7} = 2 + 3\)
\(\frac{2x}{7} = 5\)
\(x = \frac{7}{2} \times 5\)
\(x = \frac{35}{2} \)
Decimal Form:
\(x = 17.5\)
Mixed Number Form:
\(x = 17 \frac{1}{2} \)
Hope it is helpful...Consider the problem of finding a plane αTx=β (i.e. α1x1+α2x2+α3x3+α4x4=β with α=(0,0,0,0)) that separates the following two sets S1 and S2 of points (some points from S1 and S2 might lie on the plane αTx=β) : S1={(1,2,1,−1),(3,1,−3,0),(2,−1,−2,1),(7,−2,−2,−2)}, S2={(1,−2,3,2),(−2,π,2,0),(4,1,2,−π),(1,1,1,1)}. 1.1 Formulate the problem as a linear optimization problem (LO). 3p 1.2 Find a feasible solution (α,β) for (LO) if it exists, or show that no feasible solution exists. 2p
Answers
All the points in both sets satisfy the constraints, the feasible solution is α = (1, 0, 0, 0) and β = 0. This plane separates the sets S1 and S2.
To formulate the problem as a linear optimization problem (LO), we can introduce slack variables to represent the signed distances of the points from the plane αTx = β. Let's denote the slack variables as y_i for points in S1 and z_i for points in S2.
1.1 Formulation:
The problem can be formulated as follows:
Minimize: 0 (since it is a feasibility problem)
Subject to:
α1x1 + α2x2 + α3x3 + α4x4 - β ≥ 1 for (x1, x2, x3, x4) in S1
α1x1 + α2x2 + α3x3 + α4x4 - β ≤ -1 for (x1, x2, x3, x4) in S2
α1, α2, α3, α4 are unrestricted
β is unrestricted
y_i ≥ 0 for all points in S1
z_i ≥ 0 for all points in S2
The objective function is set to 0 because we are only interested in finding a feasible solution, not optimizing any objective.
1.2 Finding a feasible solution:
To find a feasible solution for this linear optimization problem, we need to check if there exists a plane αTx = β that separates the given sets of points S1 and S2.
Let's set α = (1, 0, 0, 0) and β = 0. We choose α to have a non-zero value for the first component to satisfy α ≠ (0, 0, 0, 0) as required.
For S1:
(1, 2, 1, -1) - 0 = 3 ≥ 1, feasible
(3, 1, -3, 0) - 0 = 4 ≥ 1, feasible
(2, -1, -2, 1) - 0 = 0 ≥ 1, not feasible
(7, -2, -2, -2) - 0 = 3 ≥ 1, feasible
For S2:
(1, -2, 3, 2) - 0 = 4 ≥ 1, feasible
(-2, π, 2, 0) - 0 = -2 ≤ -1, feasible
(4, 1, 2, -π) - 0 = 5 ≥ 1, feasible
(1, 1, 1, 1) - 0 = 4 ≥ 1, feasible
Since all the points in both sets satisfy the constraints, the feasible solution is α = (1, 0, 0, 0) and β = 0. This plane separates the sets S1 and S2.
To know more about linear optimization:
https://brainly.com/question/29450014
#SPJ11
Write sin3(x) in terms of sin(nx) and cos(nx), with n arbitrary integers.
Answers
The trigonometric identity for sin(3x) in terms of sin(nx) and cos(nx) states that sin(3x) can be expressed as 3sin(x)cos²(x) - sin³(x).
To derive the expression sin(3x) in terms of sin(nx) and cos(nx), we can utilize the angle sum and double angle identities. Starting with the triple-angle identity for sine, sin(3x) = sin(2x + x). Applying the angle sum identity, we get sin(3x) = sin(2x)cos(x) + cos(2x)sin(x).
Now, we express sin(2x) and cos(2x) in terms of sin(nx) and cos(nx). Using the double angle identities, sin(2x) = 2sin(x)cos(x) and cos(2x) = cos²(x) - sin²(x) = cos²(x) - (1 - cos²(x)) = 2cos²(x) - 1.
Substituting these values back into the expression for sin(3x), we have sin(3x) = (2sin(x)cos(x))(cos(x)) + (2cos²(x) - 1)(sin(x)). Simplifying further, sin(3x) = 2sin(x)cos²(x) + 2sin(x)cos²(x) - sin(x) = 3sin(x)cos²(x) - sin³(x). Therefore, sin(3x) can be written in terms of sin(nx) and cos(nx) as 3sin(x)cos²(x) - sin³(x), where n is an arbitrary integer.
Learn more about angle here:
https://brainly.com/question/30147425
#SPJ11
you want to estimate the mean sat score of all georgia students. you know the mean score for a random sample of georgia students is 1050. what number is your best guess as to the mean score for all georgia students?
Answers
The best guess for the mean score for all the Georgia students would be 1050 number here.
Given that:
The mean score for a random sample of Georgia students is 1050.
Assuming,
1) X-bar = 42; µ = 44; standard deviation (sigma) = 10; N = 64. Calculate the standard error.
1) The standard error is computed as:
\(\sigma_{\bar X} = \frac{\sigma}{\sqrt{n}} = \frac{10}{\sqrt{64}} = 1.25\)
2) You know that X-bar = 42, mu = 44, sigma-sub-X = 10, and N = 64, Calculate z-obtained.
2) The Z-value is computed as:
\(Z = \frac{\bar X - \mu}{\frac{\sigma}{\sqrt{N}}} = \frac{42- 44}{\frac{10}{\sqrt{64}}} = -1.6\)
3) The mean score on most IQ tests is 100 with a standard deviation of 15. If Sally has a score of 110 on an IQ test, what is her z-score.
3) The Z -score here is computed as:
\(Z = \frac{X -\mu}{\sigma} = \frac{110-100}{15} = 0.6667\)
The best point estimate for the population mean score is equal to the sample mean which is 1050 in this case. Therefore the best guess for the mean score for all the Georgia students would be 1050 here.
To learn more about the population mean visit: https://brainly.com/question/19538277
#SPJ4
Say, for example, the correlation is 0.75 between fat content (measured in grams) and cholesterol level (measured in milligrams) for 20 different brands of American cheese slices. If cholesterol level were changed to being measured in grams (where 1 gram = 1000 milligrams), what effect would this have on the correlation?
Answers
If cholesterol level were changed to being measured in grams instead of milligrams, the correlation between fat content and cholesterol level would not be affected.
This is because correlation is a measure of the strength and direction of the linear relationship between two variables, and converting the units of measurement does not change the underlying relationship between the variables. So, the correlation coefficient of 0.75 would remain the same whether cholesterol level is measured in milligrams or grams.
The correlation between fat content and cholesterol level for the 20 different brands of American cheese slices is 0.75. If you change the measurement of cholesterol level from milligrams to grams (1 gram = 1000 milligrams), it will not affect the correlation. The correlation coefficient will remain 0.75, as it is unit-less and only represents the strength and direction of the relationship between the two variables.
Visit here to learn more about correlation coefficient : https://brainly.com/question/27226153
#SPJ11
Conrad is cleaning his room. His bookcase has 7 shelves. He put 18 books on each shelf. How many books did Conrad put away? (My sister needs help on her homework)
Answers
Answer:10
Step-by-step explanation:
Let Z = (-1, - 2, 1) be a point in R3. Find the closest point to Z that lies on the plane given by X – y +z = 0.
Answers
The closest point to Z that lies on the plane X – y + z = 0 is the point (-2/3, 2/3, -2/3).
How to find the closest point to Z that lies on the plane?To find the closest point to Z that lies on the plane X – y + z = 0, we need to find the projection of the vector Z onto a normal vector of the plane.
The normal vector of the plane is the vector (1, -1, 1) since the coefficients of X, y, and z in the plane equation are 1, -1, and 1, respectively.
The projection of Z onto the normal vector can be found using the dot product:
\(proj_n(Z) = (Z . n) * n / |n|^2\)
where Z . n is the dot product of Z and the normal vector n, and |n|^2 is the magnitude squared of n.
Calculating the dot product:
Z . n = (-1)(1) + (-2)(-1) + (1)(1) = -2
Calculating the magnitude squared of n:
\(|n|^2 = 1^2 + (-1)^2 + 1^2 = 3\)
Substituting these values into the projection formula, we get:
\(proj_n(Z) = (-2) * (1, -1, 1) / 3 = (-2/3, 2/3, -2/3)\)
Therefore, the closest point to Z that lies on the plane X – y + z = 0 is the point (-2/3, 2/3, -2/3).
Learn more about closest point
brainly.com/question/10600452
#SPJ11
How to do this question plz answer
Answers
9514 1404 393
Answer:
60
Step-by-step explanation:
The exterior angles of the polygon are the supplement of the interior angles, so are ...
180° -174° = 6° . . . . measure of each exterior angle
The sum of exterior angles is 360°, so ...
n(6°) = 360°
n = 360°/6° = 60
The polygon has 60 sides.
Answer:
The polygon has 60 sides.
Step-by-step explanation:
Each interior angle = 174°
Each exterior angle = 180° - 174° = 6°
Sum of all exterior angles = 360°
6x = 360° (x = no. of exterior angles)
x = 360°/6
x = 60
If it has 60 exterior angles it has 60 interior angles.
a convex pentagon has interior angles with measures $x 1$, $2x$, $3x$, $4x$, and $5x-1$ degrees. what is the measure of the largest angle?
Answers
The largest angle is $5^{th}$ angle which has a measure of $179.33$ degrees.
In a convex pentagon, the sum of all interior angles is equal to 540 degrees. Therefore, we can write the following equation:
$$x+2x+3x+4x+5x-1=540$$
Simplifying the equation, we get:
$$15x-1=540$$
$$15x=541$$
$$x=36.07$$
Now that we know the value of x, we can find the measure of each angle:
$1^{st}$ angle: $x=36.07$ degrees
$2^{nd}$ angle: $2x=72.14$ degrees
$3^{rd}$ angle: $3x=108.21$ degrees
$4^{th}$ angle: $4x=144.28$ degrees
$5^{th}$ angle: $5x-1=179.33$ degrees
Therefore, the largest angle is $5^{th}$ angle which has a measure of $179.33$ degrees.
Learn more about equation brainly.com/question/10413253
#SPJ11
14 is in between which two integers
Answers
Answer: 14 is between 9 and 16 meaning the number which needs to be multiplied by itself (the square root) is between 3 and 4.
Step-by-step explanation: Estimate a number b.
Divide a by bn-1. If the number c returned is precise to the desired decimal place, stop.
Average: [b × (n-1) + c] / n.
Repeat step two.
find the x intercept and ordered pair:
2x + 3y = -6
Answers
\( \sf2x + 3y = - 6 \\ \sf2x + 3 \times 0 = - 6 \\ \sf2x = - 6 \\ \boxed{ \tt x = - 3}\)
Los extremos de un segmento son los puntos A (6, 3) y B (-3, -5), ¿Cuál es la razón “r” en el punto P (-1.2, 3.4) que divide al segmento?
Answers
Which values are solutions of the quadratic equation 0 = (x + 3)2 – 4? Check all that apply. –5 –4 –3 –1 3 5
Answers
hi
(x+3)^2 -4 = ( (x+3) +2) ( (x+3)-2 )
= ( x+5) (x +1)
so
solutions are : x+5=0 so x=-5
x+1= 0. so x= -1
solution are -5 +and -1
 I REALLY NEED HELP WITH THIS!!
Determine the angles of a rotation
A) 90º clockwise
B) 90º counterclockwise
C) 180º
D) 270º clockwise
E) 270º counterclockwise
is 2 correct answers ❗️ 
Answers
An angle of rotation is the measure of the amount that a figure is rotated about a fixed point called a point of rotation.
Explain the angles of a rotation?Movement in circles is rotation. The daily rotation of the Earth about its axis is an example of a rotation, which is the movement of something through one full circle. [ + of] Alternative Words: wheel, revolving, revolution more words for rotationAngle of rotation =m = m is the product of the number of central angles and the measure of a single central angle to get the angle of rotation between two points or vertices.The definition of the direction of a rotation in a plane in terms of the rotation's angle. The rotation will move counterclockwise if the angle of rotation is positive. The rotation will move counterclockwise if the angle of rotation is negativeThe angle of a rotation is 90 clockwise
To learn more about Angle of a rotation refer to:
https://brainly.com/question/2078551
#SPJ13
the successor of the set a is the set a ∪ {a}. identify the successor of the given set. {1, 2, 3}
Answers
In the successor set, we add a new element to the original set, which is the set itself. This is denoted by the union symbol (∪) followed by the element we are adding, {1, 2, 3}.
The resulting set is {1, 2, 3, {1, 2, 3}}, indicating that the successor set includes the original set as well as the new element.
Essentially, the successor of a set adds the set itself as a new element to the original set.
This concept is often used in mathematical set theory and has applications in various branches of mathematics and computer science.
learn more about Successor here:
brainly.com/question/12667037
#SPJ11
I need help I am confused
Answers
Answer
B
Step-by-step explanation:
Answer: The answer is A. Yes, because every x-value corresponds to exactly one y-value. i hope its right
Please, please help!
Answers
Answer:
y=-5x+19 is that what you're looking for bc I don't think you can solve for either variable
2 At the hot dog stand it costs $18.39 for five hot dogs and six bags of chips. If it costs $4.63 for
one hot dog and two bags of chips, how much is a hot dog?
Answers
Answer:
$2.25
Step-by-step explanation:
You set one of the variables equal to the other variable then plug it in to the other equation and find the value of the other to use to find for that one.
which of the following is equivalent to the expression i^57. A.i B.1 C.-1 D.-i
Answers
Answer:
A: i
Step-by-step explanation:
i^57=i use the calculator
PLEASE HELP PLEASE HELP 19 POINTS...PLEASE HELP
Answers
Answer:
-3/2
Step-by-step explanation:
Rise = -3
Run 2
Answer:hiiiii
Step-by-step explanation:
lol
today, your dream car costs $52,300. you feel that the price of the car will increase at an annual rate 1.7 percent. if you plan to wait 7 years to buy the car, how much will it cost at that time?
Answers
If the price of the dream car will increase at an annual rate of 1.7 percent, it will cost about $62,232.25 after 7 years.
To find the future cost of the dream car in 7 years, we can use the formula for compound interest.
The formula for compound interest is given:
A = P (1 + r/n)^nt
Where:
A = amount of money after n years
P = principal (initial) amount of money
r = annual interest rate
t = number of years
n = number of times interest is compounded per year
Given that the dream car costs $52,300 today and it will increase at an annual rate of 1.7%, we can find the future cost of the car in 7 years as follows:
P = $52,300r = 1.7% = 0.017t = 7 years
n = 1 (annual compounding)
Using these values in the formula
A = $52,300 (1 + 0.017/1)^(1*7)
A = $52,300 (1.017)^7A ≈ $62,232.25
Therefore, the dream car will cost about $62,232.25 after 7 years.
To know more about compound interest click here:
https://brainly.com/question/29335425
#SPJ11
According to the graph above, the equation of line c is
Answers
The Equation of a Straigth Line has the form:
\(y=mx+b\)where m is the slope and b the intersection with the vertical axis (y-axis).
As we can see based on the graph, b = 0, and m can be calculated as follows:
\(m=\frac{y_2-y_1}{x_2-x_1}\)To use the latter, we have to choose two points from the graph. For example, assuming that each square from the graph represents one unit:
• (0,0)
,• (-2,1)
Replacing these coordinates:
\(m=\frac{1-0}{-2-0}=-\frac{1}{2}\)Answer:
\(y=-\frac{1}{2}x\)Explain how you can
use a standard algorithm to solve
249 x 11. Multiply. Show your work.
Answers
It should be noted that the standard algorithm to solve 249 x 11 will give you a value of 2739.
How to illustrate the information?It should be noted that the standard algorithm simply means the way of multiplication that has to do with partial fractions or multiplication of the numbers in parts.
It should be noted that this is illustrated as multiplying the top number with the bottom number a digit at a time.
Therefore, it should be noted that the standard algorithm to solve 249 x 11 will give a value of 2739. This van be illustrated as:
249 × 11 = (250 × 11) - (1 × 11)
= 2750 - 11
= 2739
Learn more about multiplication on:
brainly.com/question/83239
#SPJ1
PLEASE HELP MEE
I will give brainliest :)
Question in the picture
Answers
Answer:
I got -11/15
Step-by-step explanation:
I did 3 (1)/(2)*(2)/(5)-5 (1)/(3)*(2)/(5)
Answer:
i think -11/15 would be the answer please correct me if im wrong
Step-by-step explanation:
3^8 x 3^4 divide 3^2 x 3^8
Answers
⇒I will be using the laws of exponents. As indicated below :
⇒\(x^{n} *x^{m} \\=x^{n+m}\)
This just simply means that if you are multiplying powers of the same base you keep one base as a result and add the exponents.
⇒ The other law of exponents is indicated below:
⇒\(x^{n} /x^{m} \\=x^{n-m}\)
This means that if you are dividing powers of the same base you keep one base and subtract the exponents.
N.B : BODMAS RULES ALSO APPLY
\(\frac{(3^{8} *3^{4} )}{(3^{2}*3^{8} ) } \\=\frac{3^{8+4} }{3^{2+8} } \\=\frac{3^{12} }{3^{10} } \\=3^{12-10} \\=3^{2} \\=9\)
Attached is your solution. Goodluck!!
why is part B 80 degrees?
Answers
Answer:
see below
Step-by-step explanation:
Angle B is 100 degrees because vertical angles are equal
<B and angle X are same side interior angles and since AD and EH are parallel lines same side interior angles are complementary
B + X = 180
100 +x = 180
x = 180-100
x = 80
Potatoes cost $3.64/lb. How much would 0.47 lb of potatoes cost?
Answers
Answer:
Step-by-step explanation:
1.7108 is the answer
Un objeto cae de un globo aerostatico que se encuentra a una altura de 2304 metros.Si se desprecia la resistencia del aire y ademas sabemos que se desplaza 16metros en el primer segundo,48 metros en el siguiente segundo,80 metros en el tercer segundo,112 metros en el cuarto,y asi sucesivamente,¿A los cuantos segundos llegara a tierra?
Answers
Answer:
The answer is "12".
Step-by-step explanation:
The AP value is:
\(\to 16 + 32 = 48;\\\\ \to 80.. an = 32 \\\\\to n = 16\\\\\)
try with \(11 = 32 (12) = 368\)
by adding the terms an \(= \frac{n}{2} \ \ \ \ (an. A_1)\)
\(\to S_{12} = \frac{12}{2} \ (16 + 368) \\\\\\\)
\(=6(384)\\\\=2304\)
So, the correct answer is = 12.
A(n) ________ is a matrix whose rows correspond to decisions and whose columns correspond to events.
a. decision tree model
b. payoff table
c. utility function table
d. scoring model
Answers
(To fill the word count aggsvshuagabshauzhz)
A(n) b. payoff table is a matrix whose rows correspond to decisions and whose columns correspond to events. therefore, option b. payoff table is correct.
A payoff table is a decision-making tool used to analyze different alternatives or decisions in a given situation. It is a matrix that lists the possible outcomes or payoffs associated with different combinations of decisions and events. The rows correspond to the different decisions that can be made, and the columns correspond to the possible events or scenarios that could occur.
Each cell in the payoff table contains the payoff or outcome associated with a specific combination of decision and event. The payoffs can be expressed in different forms, such as monetary values, utility values, or scores. Payoff tables are commonly used in decision analysis, game theory, and strategic planning to evaluate different options and select the most desirable course of action.
for such more question on payoff table
https://brainly.com/question/12125305
#SPJ11
mr. adams divides 183 markers equally among the 24 students in his class. he puts the extra markers in a box. what is the least number of extra markers in a box?
Answers
Mr. Adams divides 183 markers equally among the 24 students in his class. To find the least number of extra markers in the box, divide the total markers (183) by the number of students (24). The result is 7 with a remainder of 15. So, the least number of extra markers in the box is 15.
Mr. Adams divides 183 markers equally among the 24 students in his class, which means each student gets 7 markers. However, since 7 does not divide evenly into 183, there will be some markers left over. To determine the least number of extra markers in a box, we need to find the remainder when 183 is divided by 24.
Using long division, we get:
24 | 183
-----
7 6
-----
This means that there are 6 markers left over that Mr. Adams puts in a box. Therefore, the least number of extra markers in a box is 6.
Mr. Adams divides 183 markers equally among the 24 students in his class. To find the least number of extra markers in the box, divide the total markers (183) by the number of students (24). The result is 7 with a remainder of 15. So, the least number of extra markers in the box is 15.
learn more about divide here :https://brainly.com/question/14758494
#SPJ11