Answer:
8
Step-by-step explanation:
is y=10x a function?
Answer:
Yes
Step-by-step explanation:
i am thinking of a number. my number is a multiple of 6. what three other numbers must my number be a multiple of?
A team won 12 games and lost 4 games, what is their win-loss ratio?
HELP NOW PLEASE I WILL GIVE BRAINLIEST IT'S URGENT!!!!!!
I need help filling in the equation for #30. My teacher asked me to fill in the blank.
y = ___ - 4x
Answer:
y=24-4x
Step-by-step explanation:
If you use this equation on any problem, you can see it will work. For (1,20) plug in the x and y variable, which is 20=24-4(1)
4(1)=4, so the equation is 20=24-4
24-4=20
20=20
When viewed from the front, the rope used to tie down a tent forms a pair of supplementary angles with the ground. Find $m\angle ABC$ .
Answer:
<ABC = 49°
Step-by-step explanation:
The sum of two supplementary angle is 180. From the diagram, the two angles are 3x+4 and 8x+11. IF this two angles are supplementary then;
3x+4+8x+11 = 180
11x+15= 180
11x = 180-15
11x = 165
x = 165/11
x = 15
From the attached diagram, <ABC = 3x+4
<ABC = 3(15)+4
<ABC = 45+4
<ABC = 49°
Question 2. (30 points): Consider the following linear program: maxx s.t. z=4x1+3x2+3x32x1+2x2+x3≤4,x1+3x2+x3≤9,x1,x2,x3≥0. Write down the dual LP, graphically solve the dual LP, and then use complimentary slackness conditions to find the set of optimal solutions of the primal LP.
The optimal solution for the primal LP is x1 = 0, x2 = 2, x3 = 2, with a maximum value of z = 16.
Let's start by writing down the dual LP. The dual LP is obtained by interchanging the roles of variables and constraints in the primal LP. The dual variables corresponding to the constraints are y1 and y2, representing the multipliers for the first and second constraint, respectively. The objective function of the dual LP is given by minimizing 4y1 + 9y2, and the dual LP subject to the dual constraints is as follows:
min 4y1 + 9y2 subject to:
2y1 + y2 ≥ 4
3y1 + 3y2 ≥ 3
y1, y2 ≥ 0
To graphically solve the dual LP, we can plot the feasible region defined by the dual constraints and find the point that minimizes the objective function. By solving the dual LP, we obtain y1 = 1/3 and y2 = 2/3, with a minimum value of 10/3. Now, using the complementary slackness conditions, we can find the set of optimal solutions for the primal LP. The conditions state that for any optimal solution, the product of the primal constraint and the dual variable must be zero. Since the primal constraints are inequalities, we consider them as equalities to check the conditions. For the first constraint, 2x1 + 2x2 + x3 = 4, we have y1(2x1 + 2x2 + x3 - 4) = 0, which gives y1 = 0. Similarly, for the second constraint, x1 + 3x2 + x3 = 9, we have y2(x1 + 3x2 + x3 - 9) = 0, which gives y2 = 0. Hence, the optimal solution for the primal LP is x1 = 0, x2 = 2, x3 = 2, with a maximum value of z = 16, satisfying the complementary slackness conditions.
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HELP!!! 10 points and marked brainliest
Answer:
m=2
Step-by-step explanation:
RS=2m+2
ST=3m+3
RT=15
m=2
RS=2(2)+2
RS=4+2
RS=6
ST=3(2)+3
ST=6+3
ST=9
Because S is in the middle of RT, if you add RS and ST together, you will get the length of RT.
6+9=15
PLSSS HELP....Data was collected on the amount of time that a random sample of 8 students spent studying for a test and the grades they earned on the test. A scatter plot and line of fit were created for the data.
scatter plot titled students' data, with x-axis labeled study time in hours and y-axis labeled grade percent. Points are plotted at 1 comma 50, 2 comma 50, 2 comma 60, 2 comma 70, 3 comma 70, 3 comma 80, 4 comma 85, and 4 comma 90, and a line of fit drawn passing through the points 0 comma 30 and 2 comma 60
Determine the equation of the line of fit.
y = 15x + 60
y = 15x + 30
y = 30x + 60
y = 30x + 30
The equation of the Line of fit is y = 15x + 30.
The equation of the line of fit, we can use the two given points: (0, 30) and (2, 60).
First, we find the slope (m) of the line using the formula:
m = (change in y) / (change in x)
m = (60 - 30) / (2 - 0) = 30 / 2 = 15
The slope of the line is 15.
Next, we can use the point-slope form of a linear equation:
y - y₁ = m(x - x₁)
Using the point (2, 60):
y - 60 = 15(x - 2)
Simplifying the equation:
y - 60 = 15x - 30
Now, we can isolate y:
y = 15x - 30 + 60
y = 15x + 30
Therefore, the equation of the line of fit is y = 15x + 30.
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find the constant of variation k for the direct variation
Answer:
The constant of variation is k = -2 ⇒ (B)
Step-by-step explanation:
The equation of the direct variation is y = k x, where
k is the constant of variationThe constant of variation k = [tex]\frac{y}{x}[/tex]The given table has 4 points (-1, 2), (0, 0), (2, -4), (5, -10)
We can use one of the points [except point (0, 0)] to find the value of k
∵ (-1, 2) is a given point
∴ x = -1 and y = 2
∵ k = [tex]\frac{y}{x}[/tex]
→ Substitute the values of x and y in the relation above
∴ k = [tex]\frac{2}{-1}[/tex]
∴ k = -2
The constant of variation is k = -2
A number x plus 23 is fewer than 24
Answer:
Step-by-step explanation:
To translate statements into expressions and equations:
1) Identify __KEY__ __WORDS____ that indicate the operation. 2) Write the numbers/variables in the correct order.
The SUM of _____5_______ and ______8______: _____5 + 8_____ The DIFFERENCE of ___n_____ and ____3______ : _____n – 3______ The PRODUCT of ____4______ and ____b – 1____: __4(b – 1)___
The QUOTIENT of ___4_____ and ____ b – 1_____: 4 ÷ (b – 1) or Write each verbal phrase as an algebraic expression.
1.thesumof8andt 8+t 3.theproductof5andb 5b
LESS THAN
MORE THAN
2.thequotientofgand15 4.thedifferenceof32andx 32-x
SWITCH THE the first number subtracted
ORDER OF THE TERMS!
from the second! 5. Eightmorethanx _x-8_
Write the phrase five dollars less than Jennifer earned as an algebraic expression.
6. Sixlessthanp __p-6___
Key Words five dollars less than Jennifer earned Variable Let d represent # of $ Jennifer earned Expression d–5 6. 14lessthanf f-14
8. 3 more runs than Pirates scored P + 3 10. Arthur is 8 years younger than Tanya
7.pmorethan10 10+p
9. 12 less than some number n – 12
11. Kelly’s test score is 6 points higher than Mike’s
IS,
equals,
is equal to
Substitute with equal sign. 8. The product of 7 and b is equal to 63.
7b = 63
10. The quotient of x and 7 is equal to 13. x/7 =13
7. 5 more than a number is 6. n+5=6
9. The sum of r and 45 is 79. r+45=79
TWICE = DOUBLE = 2 times a number = multiply by 2
Addition Phrases
Expression
Subtraction Phrases
Expression
8 more than a number
The sum of 8 and a number x increased by 8
the total of x and 8
x+8
The difference of r and 6
r decreased by 6
6 less than a number
6 subtracted from a number
r-6
Multiplication Phrases
Expression
Division Phrases
Expression
Twice a number
The product of 2 and n
2 multiplied by a number 2 times a number
2n
The quotient of z and 3 A number divided by 3 The ratio of z and 3
Practice: Underline key words. Write each phrase as an algebraic expression or equation.
11.
13.
15.
18.
20.
Translate each expression or equation into a word expression or statement.
22) 23) 24)
9y the product of 9 and number y________________ x – 8 = 14 _8 less than a number is 14.__
= 24 __the quotient of y and 12 is 24___
Sevenlessthananumberis15 n–7=15 7 less than m m – 7
12. Thetotalof5andc 5+c
14. Thesumofanumberand16is23n+16=23 16. The quotient of w and 10 is equal to 7 w/10 =7 19. $12 less than the original price is $48 p–12=48
21. (– 65) is 5 times a product of 5 and a number
the score increased by 8 points s + 8 17morethansomenumberis57 n–17=57 twice as many points as Bob has 2B
-65 = 5(5n)
Writing Two-Step Expressions and Equations less than twice a number Six x is four Two less than the quotient of 15 and a number 2x–6=4 –2=15
Nine times a number decreased by four
9n–4
Five times the sum of six and some number
5(6+n)
Twice the difference of y and three
2 ( y – 3)
The sum of 5 and product of 7 and x
5+7x 9–
The product of 4 and the difference of x and 3 The product of the difference of x and 3 and 4 4(x–3) (x–3)4
7. Five less than twice a number is 7. __2n – 5 = 7____
8. One less than the product of four and a number is 11. __4n – 1 = 11_
9. Ten more than the quotient of a number and 3 is 12. + 10 = 12__________
10. The sum of 9 and the quotient of x and 7 is 11. _9 + _= 11_________
11. The product of 2 and the sum of 5 and t is 8. ___2(5 + t) = 8___
12. Ten less than the quotient of a number and −2 is three ___ – 10 = 3_______ 13. 7(b + 2) _The product of 7 and the sum of b and 2_
YOU MUST USE PARENTHESES for · or ÷ THE (SUM) or (DIFFERENCE)!
The quotient of 7 and d decreased by 9
– 9
The difference of 9 and the quotient of s and –4
14. 2c – 5 __5 less than twice a number_________
Answer:
x = 0
x = -1
x = -2 and so on Basically 0
Step-by-step explanation:
HELPP PLEASE
GEOMETRY escape challenge G!!
Geometry escape challenges can be a fun way to develop problem-solving skills and deepen one's understanding of geometric principles. With practice and persistence, anyone can improve their geometry skills and become better equipped to tackle more complex challenges.
Geometry is a branch of mathematics that deals with the study of shapes, sizes, relative positions of objects, and the properties of space. It has applications in various fields like engineering, art, architecture, and science.
To solve geometry problems, one needs to have a solid understanding of geometric principles and formulas and develop problem-solving skills that enable them to visualize and manipulate 2D and 3D objects.
Escape challenges are games designed to test one's logical thinking and puzzle-solving abilities. In the context of geometry, an escape challenge may involve finding solutions to problems or uncovering hidden clues that help players move through various levels of the game.
To succeed in escape challenges, one needs to be observant, analytical, and creative. Some common strategies for tackling geometry escape challenges include breaking down complex problems into smaller components, using visual aids to help visualize concepts, and testing multiple solutions until the correct one is found.
In conclusion, geometry escape challenges can be a fun way to develop problem-solving skills and deepen one's understanding of geometric principles. With practice and persistence, anyone can improve their geometry skills and become better equipped to tackle more complex challenges.
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Consider the following data:
x 1 2 3 4 5
P(X=x) 0.1 0.2 0.3 0.2 0.2
Step 3 of 5:
Find the standard deviation. Round your answer to one decimal place.
Step 4 of 5:
Find the value of P(X≥5)P(X≥5). Round your answer to one decimal place.
Step 5 of 5:
Find the value of P(X≤3)P(X≤3). Round your answer to one decimal place.
The standard deviation is approximately 1.3, rounded to one decimal place. The values for P(X≥5) and P(X≤3) are approximately 0.2 and 0.6, respectively, rounded to one decimal place.
To determine the standard deviation, we first need to calculate the mean. We can do this by multiplying each value of 'x' by its corresponding probability and summing them up:
Mean (μ) = (1*0.1) + (2*0.2) + (3*0.3) + (4*0.2) + (5*0.2) = 0.1 + 0.4 + 0.9 + 0.8 + 1.0 = 3.2
Next, we can calculate the variance (σ^2) by squaring the differences between each 'x' value and the mean, multiplying by their probabilities, and summing them up:
Variance (σ²) =
[tex][(1-3.2)^2 * 0.1] + [(2-3.2)^2 * 0.2] + [(3-3.2)^2 * 0.3] + [(4-3.2)^2 * 0.2] + [(5-3.2)^2 * 0.2]= \\(-2.2)^2 * 0.1] + [(-1.2)^2 * 0.2] + [(-0.2)^2 * 0.3] + [(0.8)^2 * 0.2] + [(1.8)^2 * 0.2]= \\4.84 * 0.1 + 1.44 * 0.2 + 0.04 * 0.3 + 0.64 * 0.2 + 3.24 * 0.2= 0.484 + 0.288 + 0.012 + 0.128 + 0.648 \\= 1.56[/tex]
Finally, the standard deviation (σ) is the square root of the variance:
Standard Deviation (σ) = √1.56 ≈ 1.25 (rounded to one decimal place)
To find P(X≥5), we add up the probabilities of all 'x' values greater than or equal to 5:
P(X≥5) = P(X=5) = 0.2
To find P(X≤3), we add up the probabilities of all 'x' values less than or equal to 3:
P(X≤3) = P(X=1) + P(X=2) + P(X=3) = 0.1 + 0.2 + 0.3 = 0.6
Therefore, the values are:
Standard Deviation ≈ 1.3
P(X≥5) ≈ 0.2
P(X≤3) ≈ 0.6
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Paul is adding mulch along the edge of his driveway. There are 8 black fish, 5 white fish, and 3 gold fish. What is the ratio of gold fish to total fish? Select all that apply.
A: 3:16
B: 16:3
C: 3 to 16
D: 16 to 3
E: 3/16
F: 16/3
True or False?
The union of two or more sets is the set of all elements that belong
to either one set or the other set or to both sets.
Answer:
Its false im pretty sure i hope this helped
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
I believe that it is FALSE
Hope this helped
How is a sample related to a population?
Answer:
A sample is a subset of a population.
Step-by-step explanation:
2.95x+28=50
Please help
Answer:
x = 22 / 2.95 :)
Step-by-step explanation:
Alright, so 2.95x + 28 = 50.
This means, (subtracting 28) that
2.95x = 50 - 28 = 22
2.95x = 22
So...
x = 22 / 2.95 :)
Kiki wants 4 cans of cat food for her cats. Each can costs $1.56. How much will it cost Kiki?
explanation pls
(sence i reallt need an explanation who ever gives me at least 1 sentace on how you got the awnser i will gor you branlyest because im desperate)
Answer:
4×1.56=6.24 should be the answer
Answer:
$6.24
Step-by-step explanation:
If Kiki wants 4 cups of cat food, but each can is $1.56 - you simply need to multiply. $1.56 x 4 = $6.24.
This is assuming without tax or rounding to the nearest tenth or a dollar.
pleaseeeeeeeeeee hellllllllppppppppp
two no are in ratio 5:3 if diffrence is 18 find no.
Answer:
[tex]5..3 = 18..x[/tex]
[tex] \frac{5}{3} = \frac{18}{x} [/tex]
Cross Multiply ✖
[tex]5(x) = 18(3)[/tex]
[tex]5x = 54[/tex]
Dividing both sides by 5 ⚄
[tex]x = \frac{54}{5} [/tex]
[tex]x = 10.8[/tex]
OR
[tex]10 \times \frac{4}{5} [/tex]
[tex]10 \frac{4}{5} [/tex]
MARNIE OUT !
2
Type the correct answer in each box. Use numerals instead of words.
Complete the area model representing the polynomial x2 - 11x + 28. What is the factored form of the polynomial? Use the model to rewrite the
expression
X
-7
X
X2
-4X
(x+
(
-7)
Reset
Next
Answer:
blank 1 (in the graph) : -7x
blank 2 (in the graph) : 28
blank 3 (next to the graph) :-4
on the bottom equation blanks: -4 and then 7
bottom equation blanks should look like:
(x+-4) (7-7)
Solve the following, show all work for thumbs
up!
Calculate the matrix elements of a 4x4 matrix given
the following basis states and Hamiltonian where first term in the
Hamiltonian is the hopping
+ + H = =+ (C₁F C²₂₁ +²₁ √ (₂²) + C₂₁ C₁p + C₂ C₁4) +Unit+1^₂)) Hopping i hopp. interaction; int. where ris: Cis Cis is number operator Using the following information: 11)
Answer:
Yes
Step-by-step explanation:
Plz help me on this one to plz
Answer:
The answers are............
4) D, 5) 0.75
Can some help me please because I got the correct answer but is saying it incorrect !
Answer:
i got 7 [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
PLEASEEEEE HELP!! BRAINLIEST!!
At Sparrowtown Consulting, the head of human resources examined how the number of employees with health care benefits varied in response to policy changes.
According to the Graph provided, what was the rate of change between 2012 and 2014?
Step-by-step explanation:
Rate of change = final - initial / time(in years)
= 41 - 43 / 2014 - 2012
= - 2 / 2
Rate of change = - 1
Therefore, the number of employees with health care benefits reduced by 1 person per year between 2012 - 2014 in response to policy changes.
Need these 2 answered. 25 points!
Please show work, Thanks! :)
Answer:
The answer for your first question after just factoring is -(x-6)(x+7). So the answer for the first question is C
The answer to the second question after factoring is -3x(2x+3), which matches Choice A, so the answer to the second question is A.
Step-by-step explanation:
Marking brainlest if you answer ASAP!!!!plsss
Answer:
Add up the number of chocolate chips and then just search up waht is the median of ____.
Step-by-step explanation:
Hope this helped
the single factor that made the hindu arabic number system superior to the other number systems is the
Answer:
invention of 0
Step-by-step explanation:
shows that it is possible to have nothing
Which statement best describes a difference between electromagnetic waves and mechanical waves?
Answer: D
Step-by-step explanation: I just answered the question on the quiz and got it wrong (from a p e x)
Solve the system by substitution.
12x + 6y + 72 = -35
7x - 5y – 6z= 200
x+y= -10
Step-by-step explanation:
12x+6y+72=-35
12x+6y=-35-72
12x+6y=-107 equation i
X+y=-10 equation ii
multiply by 6 on equation ii and subtract from equation i
12x+6y=-107
-6x-6y=60
6x=47
X=7.83333333
put the value of X on equation i
12×7.83333333+6y=-107
6y=-107-94
y=33.5
now
put the value of X and y on equation iii
7×7.83333333-5×33.5+6z=200
54.8333331-167.5+6z=200
-112.666667+6z=200
6z=200+112.666667
z=52.1111112
Find the value of x when: -2(3x - 5) = 52
Answer:
-7
Step-by-step explanation:
-2(3x-5)=52
-6x+10=52
-6x=52-10
-6x=42
x=42/-6
x=-7
Solve Z/5 - 4 = 2 1/3.
Z=
PLEASE HELP
Answer:
Z= 31.6666666666666666
Step-by-step explanation:
x/5 - 4 = 2 1/3
x/5 = 6 1/3
x=6 1/3 times 5
x=31.66 repeated
