This maximization linear programming problem is not in "standard" form. It has mixed constraints, some involving ≤ inequalities and some involving ≥ inequalities. However with careful graphing, we can solve this using the techniques we have learned in this section. Maximize
a) z=5x+7y Subject to x+y≤30
b) 2x+y≤50
c) 2x≥y
d) x≥0,y≥0
Answers
Answer: See Annex
z (max) = 190
x = 10
y = 20
Step-by-step explanation:
z = 5*x + 7*y to maximize
Subject to:
x + y ≤ 30
2*x + y ≤50
2*x - y ≥ 0
x≥= y ≥0
Related Questions
What are the features of the function f(x)=−2log3 (x+4) graphed below?
Answers
Answer:
Step-by-step explanation:
The function f(x) is a logarithmic function with a vertical asymptote of x = -4. The range of the function is (-∞, ∞), and it is decreasing on its domain of (-4, ∞). The end behavior on the LEFT side is as x → -4 (from the right), y → ∞, and the end behavior on the RIGHT side is as x → ∞, y → -∞.
The characteristics of the logarithmic function are described below:
Domain of the function is [tex](-4, +\infty)[/tex]Range of the function is the set of all real numbers.The component [tex]x+4[/tex] indicates the existence of a vertical asymptote at [tex]x=-4[/tex].The constant [tex]-2[/tex] reflects the logarithm about the x-axis.Analysis of a logarithmic function
The graph of the function is attached below. After a quick analysis, we conclude the following characteristics of the given function:
Domain of the function is [tex](-4, +\infty)[/tex]Range of the function is the set of all real numbers.The component [tex]x+4[/tex] indicates the existence of a vertical asymptote at [tex]x=-4[/tex].The constant [tex]-2[/tex] reflects the logarithm about the x-axis.To learn more on logarithm, we kindly invite to check this verified question: https://brainly.com/question/7302008
A national survey by Gallup interviewed a random sample of 1014 adults and found that they had consumed on average 4.2 alcoholic beverages in the past seven days. The distribution of the number of alcoholic beverages in the sample was clearly right-skewed. Q10.13 Points What would most likely be the shape of the distribution of the number of alcoholic beverages consumed in the past seven days in the entire American adult population
Answers
Answer:
Approximately normal
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
In this question:
As the sample size is above 30, even though the underlying distribution is right-skewed, the shape of the sampling distribution of the sample means will be approximately normal.
Select the correct answer. What is this equation rewritten in exponential form? log7 343 = 3 A. 37 = 343 B. 73 = 343 C. 343x = 7 D. 343x = 3
Answers
The solution to the equation log₇343 = 3 is 7³ = 343
What is an equation?An equation is used to show the relationship between numbers and variables.
The logarithm can be defined as the exponent that raises a base to get a particular number. The law of logarithm states:
logₓm = n is the same as xⁿ = m
Given the equation:
log₇343 = 3
Applying the law of logarithm gives:
7³ = 343
The solution to the equation is 7³ = 343
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The area of the base of a cylindrical container is defined by b(x) = x*2 - x + 12. Find
the volume of water that can be stored inside the container if the height is defined
by h(x) = x - 1.
Answers
Answer: [tex]V=x^3-2x^2+13x-12[/tex]
Step-by-step explanation:
Given
The area of the base is given by [tex]b(x)=x^2-x+12[/tex]
The height of the container is [tex]h(x)=x-1[/tex]
The volume of the cylindrical container is
[tex]V=Area\times height[/tex]
Insert the values
[tex]\Rightarrow V=\left( x^2-x+12\right)\cdot \left(x-1\right)\\\Rightarrow V=x^3-x^2+12x-x^2+x-12\\\Rightarrow V=x^3-2x^2+13x-12[/tex]
What is the sum of the first thirteen terms in a geometric series with a1=−3 and r=4?
Answers
Answer:
The sum of the first 13 terms of the sequence is -67,108,863.
Step-by-step explanation:
Sum of the first n terms of a geometric sequence:
The sum of the first n terms of a geometric sequence, with first term [tex]a_1[/tex] and ratio r, is given by:
[tex]S_n = \frac{a_1(1-r^n)}{1-r}[/tex]
In this question:
[tex]a_1 = -3, r = 4[/tex]
Sum of the first 13 terms:
[tex]S_{13} = \frac{-3(1 - 4^13)}{1-4} = -67108863[/tex]
The sum of the first 13 terms of the sequence is -67,108,863.
you can use a calculator if you want. No links please help this is very important i will give you brain thing if its correct
Answers
Answer:
Step-by-step explanation:
0.25 x 0.044 = 0.011
a. Changing 0.25 to 25 moves the decimal 2 places to the right, and changing 0.044 to 44 moves the decimal 3 places to the right, so once we solve 25 x 44, we have to move the decimal a total of 5 places to the left.
25 x 44 = 1100, then move the decimal 5 places to the left to get 0.01100...but we don't add the zeros at the end.
b. multiplying 1/4 times 0.044 = 0.044/4 = 0.011
Hope this helps.
Can y’all help me on question 16?!
Answers
explanation: plug in one of the x’s into the equation and solve for z. You will see that z=x+6 will get you all the correct z outputs. Hope this helps!
Answer and Step-by-step explanation:
The answer is D. z = x + 6
This is because the values for x, when plugged in for x, correlates to the values of y shown in the table.
#TeamTrees #PAW (Plant And Water)
WHAT IS THE EQUATION ?? AND TELL ME HOW YOU GOT IT.
PLEASE ANSWER !! ILL GIVE BRAINLIEST !!
50 POINTS !!
FAKE ANSWERS WILL GET REPORTED .
Answers
Answer:
x = 20
Step-by-step explanation:
the sum of the interior angles of a triangle is 180°
add expressions for each angle then combine 'like terms':
6x - 5 + 2x - 3 + x + 8 = 180
9x - 8 + 8 = 180
9x = 180
x = 180/9
x = 20
(i don’t know what it’s asking for because it doesn’t show in the pic but if it’s asking for x or the angles this is the answer)
explanation: because a triangle is equaled to 180° you need to add all of them together and equal it to 180
(6x-5)+(x+8)+(2x-3)=180
*combine like terms
9x=180
x=20
to find the angles you need to plug in the x
j. 20+8=28
k. 6(20)-5=115
L. 2(20)-3=37
Tests of older baseballs showed that when dropped 24 ft onto a concrete surface, they bounced an average of 235.8 cm. In a test of 40 new baseballs, the bounce had a mean of 235.4 cm. Assume the standard deviation of baseball bounce heights is 4.5 cm. At α=0.05, are the new baseballs different?
A. There is sufficient evidence to support the claim that the new baseballs have bounce heights with a mean different from 235.8 cm
B. There is not sufficient evidence to support the claim that the new baseballs have bounce heights with a mean matching 235.8 cm
C. There is sufficient evidence to support the claim that the new baseballs have bounce heights with a mean matching 235.8 cm
D. There is not sufficient evidence to support the claim that the new baseballs have bounce heights with a mean different from 235.8 cm
Answers
Answer:
D. There is not sufficient evidence to support the claim that the new baseballs have bounce heights with a mean different from 235.8 cm
Unit 11 homework 1 area of plane figures number 12
Answers
Answer:
wth
Step-by-step explanation:
give us the god dang question and stop being lazy
why is 2^3x 5^4x 9^4 not a prime factorization? what is the prime factorization of the number?
Answers
The prime factorization of the number can be obtained by setting the variables x to specific values. For example, if we set x = 2, the number becomes 2^6 5^8 9^8, which can be further factored as 2^2 x 3^6 x 5^8 x 7^8. If we set x = 3, the number becomes 2^9 5^12 9^12, which can be further factored as 2^3 x 3^9 x 5^12 x 7^12.
So the prime factorization of the number depends on the value of the variable x. Without knowing the value of x, it is not possible to determine the exact prime factorization of the number.
In JKL, KL = 14, LJ = 3, and JK =12. Which statement about the angles of JKL must be true?
Answers
Answer:
D. [tex]L > J > K[/tex]
Step-by-step explanation:
Givenwe are given the vertecies (angles) of the trianglewe are given the side lengths of the triangleWhat to UtilizeThus, we have to utilize the angle relationships in a triangle.
Angle Relationships in a Triangle⭐The largest side is always opposite of the largest angle
⭐The smallest side is always opposite of the smallest angle
Application1. Identify the side lengths of triangle JKL
KL = 14LJ = 3JK = 122. Determine which vertecies are opposite of each side length (draw the figure)
Angle L is opposite of JK (14)Angle K is opposite of LJ (3)Angle J is opposite of KL (12)3. Determine which angles are the greatest, smallest, and in-between
Angle L is the LARGEST angle because it is opposite of the LARGEST side lengthAngle K is the SMALLEST angle because it is opposite of the SMALLEST side lengthWe know that angle J isn't the LARGEST or SMALLEST, but is in the middle4. Write what you found in #3 in terms of inequalities
∠L > ∠J > ∠K
angle L is greater than angle J, and angle J is greater than angle Kif this response helped you, please mark it the "brainliest"!
What is x + y when x = 4 and y = -5
Answers
Answer:
x + y = -1
Step-by-step explanation:
4 plus -5 is equivalent (equal to) the equation 4 - 5 which equals -1
Which student would benefit most if the teacher
decided to use the median to calculate their final
grades instead of the mean?
A student whose grades are skewed right.
A student who has a grade with one very low
outlier.
A student whose grades are perfectly symmetrical.
A student whose grades have a standard deviation
of zero.
Answers
Answer:
the students that are skewed right
Step-by-step explanation:
-50 POINTS- if you guess you’ll be reported.
If P=(4,7) Find D2 (P)
Answers
You will be reported if you guess. The result is -1 if P=(4,7)on D2 (P). Consequently, P=(4,7) in D2 reports -1. (P).
What is the value of D2 (P)?Given p= (4,7)
The answer to 4 p+7 is 4(-2)+7=-8+7=-1
The value of the denominator (d2), a weighting factor, is depends on the control chart's subgroup size, n. Based on a subgroup size of 5, the value of d2 in the case is 2.326. Following is a brief list of the d2 values for other subgroup sizes.
The table of constants below contains the d2 value, which is determined by the subgroup size. The average moving range, or MR-bar, will be used if your subgroup size is one. Model No. The average range is 0.220, and the mean is 0.8057 (X-bar). The D2 function gives the sample range of n independent, normally distributed random variables with the same mean and a standard deviation of 1 the anticipated value.
To learn more about value of D2 (P) refer to
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5. What is the mode in this sequence of numbers? 5, 10, 16, 3, 8, 11, 7, 10,2 I a. 8 b. 5 c. 11 d. 10
Answers
Answer:
Step-by-step explanation:
c, because 3+8 is 11 so c would be correct
PLSS I NEED THIS! Number 4
Answers
Answer:
(b) y < x-1; y ≤ -2x+2
Step-by-step explanation:
You want to know the inequalities represented on the graph showing a solid line with negative slope and a y-intercept of 2, and a dashed line with positive slope and a y-intercept of -1, where the shading is below both lines.
Line typeIf the line is included in the solution set (≤ or ≥ is used), the boundary line is graphed as a solid line. If the line is not included in the solution set (< or > is used), the boundary line is graphed as a dashed line.
Here, the line with positive slope is dashed, and the line with negative slope is solid.
y = x -1 . . . . is a line with positive slope
y = -2x +2 . . . . a line with negative slope
ShadingThe shading is below the line for y-values less than those on the line:
y < x -1 . . . . shading below a dashed line with positive slope
y ≤ -2x +2 . . . . shading below a solid line with negative slope
These are the inequalities of interest.
What is the circumference of this circle? Use π = 3.14
Answers
The circumference of this circle is equal to 50.24 centimeters.
What is a circle?In Mathematics, a circle can be defined as a closed, two-dimensional curved geometric shape with no edges or corners. Additionally, a circle simply refers to the set of all data points in a plane that are located at a fixed distance (radius) from a fixed point (central axis).
How to calculate the circumference of a circle?Mathematically, the circumference of a circle can be calculated by using this mathematical expression:
C = 2πr or C = πD
Where:
C represents the circumference of a circle.D represents the diameter of a circle.r represents the radius of a circle.Based on the image of this circle (See attachment), we can logically deduce that its radius is equal to 8 centimeters.
Substituting the given parameters into the circumference of a circle formula, we have;
Circumference of circle, C = 2 × 3.14 × 8
Circumference of circle, C = 50.24 centimeters.
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The equations of three lines are given below.
Line 1: y= 3x +8
Line 2: y=3x-3
Line 3: 6x - 2y= -8
For each pair of lines, determine whether they are parallel, perpendicular, or neither.
Answers
they are all parallel
they all have the same slope of three
Imani bought one bunch of asparagus for
$2. How many bunches can Eduardo buy
if he has $4?
Answers
Answer:
2 Bunches
Step-by-step explanation:
Find the area of the trapezoid
Answers
A=((a+b)/2) x h
So if you plug in the variables it will be
A=((9+15)/2) x 20
A=(24/2) x 20
A=12 x 20
A=240
Therefore, the area of the trapezoid is 240 m^2.
hope this helps!!
Answer:
The area of this trapezoid is equal to 240 [tex]m^{2}[/tex]
Step-by-step explanation:
The area of a trapezoid can be found by using the following formula...
[tex]Area = \frac{(a + b)h}{2}[/tex] (in this formula a and b are the bases of the trapezoid and h is
the height of the trapezoid).
Now we just substitute the values and get...
[tex]Area = \frac{(a + b)h}{2} = \frac{(9 + 15)(20)}{2} = \frac{480}{2} = 240m^{2}[/tex]
helppppppp pleassseeeeeeeeeeeeeee
Answers
Answer:
D
Step-by-step explanation:
The absolute value means its just not negative, So If you see a number inbeteen the absolute value, just forget about the negative sign and make it positive
Ex: |-1| = 1
|-423242| = 423242
its that easy, then you just find which one is in the right order
John bought 25 apples for $3. Jane bought the same apples at the same price but only needed 10.
How much should Jane have to pay?
$
Answers
Answer:
3 ÷ 25 = 0.2
0.2 × 10
= $ 10
............
What is the perimeter of the figure please help
Answers
Answer:
A 4.5
Step-by-step explanation:
A bicycle shop is selling $500.00 bikes at 10% off. If the sales tax is 13% how much will the
bike cost?
Answers
Plz help me well mark brainliest if correct
Answers
Answer:
C.11
Step-by-step explanation:
yellow fur and green eyes =19 students
brown fur and brown eyes= 8 students
subtract them
19-8=11 students
Find the measure of the missing angle
Help plss
Answers
Answer: [tex]150^{\circ}[/tex]
Step-by-step explanation:
By the exterior angle theorem,
[tex]m\angle BQR=50^{\circ}+100^{\circ}=\boxed{150^{\circ}}[/tex]
How do I solve this system of equations using the elimination method.(I don't just want the answer, I want an explanation on how to get the answer.)
y=3x+13
2x=y-9
Answers
Answer:
y=3x+13
2x=y-9
Step-by-step explanation:
i need to know :(
Answer:
Step-by-step explanation:
Substitute 1 in 2 and solve for x.
2x=y-9
2x=3x+13-9
2x = 3x+4
-x = 4
x = -4
Then use equation 1 to solve for x.
y = 3x+13
y = -12+13
y= 1
NEED HELP CLICK TO SEE LINKS WILL GET REPORTED
Answers
Answer:
click to see link blahlaldglds.com
JUST KIDNG HERES THE ANSWERS BELOW.
7
15
-5
1
4
Step-by-step explanation:
Use the drop-down menus to complete each equation so the statement about its solution is true PLS ANSWER NOW
Answers
Answer:
4x + 4
Step-by-step explanation:
Not sure if I understand the question but I think that's what the answer is for all 3 drop downs. :)