Answer:
z (max) = 17461.54 $
x₁ = 29.23 acres
x₂ = 0
x₃ = 3.07
Step-by-step explanation: INCOMPLETE QUESTION.
As the problem statement establishes: "Each crop requires labor, fertilizer, and insecticide" and information about quantities and availability does not exist. To build a model and that such model would be feasible I copy from the internet the following data. We assume the problem is to maximize the number of acres to plant with a maximum of profit ( we will use as profit the numbers 550 ; 350 ; 450 for acres of corn, peanuts, and cotton)
Then z = 550*x₁ + 350*x₂ + 450*x₃ to maximize
labor (h) fertilizer ( tn) Insecticide (Tn)
acres of corn (x₁) 2 4 3
acres of peanut (x₂) 3 3 2
acres of cotton (x₃) 2 1 4
Availability acres 40 120 120 100
Constraints:
1) Size of the farm 120 acres
x₁ + x₂ + x₃ ≤ 40
2) labor 120 h
2*x₁ + 3*x₂ + 2*x₃ ≤ 120
3) Fertilizer 120 Tn
4*x₁ + 3*x₂ + 1*x₃ ≤ 120
4) Insecticide 100 Tn
3*x₁ + 2*x₂ + 4*x₃ ≤ 100
The Model is:
z = 550*x₁ + 350*x₂ + 450*x₃ to maximize
Subject to:
x₁ + x₂ + x₃ ≤ 40
2*x₁ + 3*x₂ + 2*x₃ ≤ 120
4*x₁ + 3*x₂ + 1*x₃ ≤ 120
3*x₁ + 2*x₂ + 4*x₃ ≤ 100
x₁ ≥ 0 ; x₂ ≥ 0 ; x₃ ≥ 0
After 3 iterations using an on-line solver optimal solution is:
z (max) = 17461.54 $
x₁ = 29.23 acres
x₂ = 0
x₃ = 3.07
Point Q is the midpoint of GH¯¯¯¯¯¯. GQ=2x+3, and GH=5x−5 .
What is the length of GQ¯¯¯¯¯?
Answer:
[tex]GQ =25[/tex] --- GoTV
Step-by-step explanation:
Given
[tex]GQ = 2x + 3[/tex]
[tex]GH= 5x - 5[/tex]
Required
Find GQ
Since Q is the midpoint, then:
[tex]GH = 2 * GQ[/tex]
This gives:
[tex]5x - 5 = 2[2x+3][/tex]
Open bracket
[tex]5x - 5 = 4x+6[/tex]
Collect like terms
[tex]5x - 4x = 5+6[/tex]
[tex]x =11[/tex]
We have:
[tex]GQ =2x+3[/tex]
This gives:
[tex]GQ =2*11+3[/tex]
[tex]GQ =25[/tex]
Calculator
Problem
Find the area of the shape shown below.
Answer:
what shape?
you gotta give more lol
Find mZ3 if mZ5 = 145º and mZ4 = 45°
9514 1404 393
Answer:
C. 100°
Step-by-step explanation:
The exterior angle is equal to the sum of the remote interior angles.
∠5 = ∠3 +∠4
145° = ∠3 +45° . . . . fill in the given values
100° = ∠3 . . . . . . subtract 45° from both sides
determine the missing angle.
The angle at the vertex of a rectangle is 90°
So, it means that,
= ? + 40 = 90
= ? = 90 - 40
= ? = 50
Answer:
50°
Step-by-step explanation:
x = ?°
x + 40° = 90°
x = 90° - 40°
x = 50°
Plz help me solve this
Two letters from the word HAPPY are randomly chosen with replacement. What is the probability of choosing an H or P on either selection?
answer in decimal
Answer:
0.5 I believe
Step-by-step explanation:
I don’t know how to explain on why the student was incorrect
Answer:
the constant proportionality means the ratio between two directly proportional quantities.
so the constant proportionality will be 7.5÷6=1.25 or 10÷8=1.25 or 12.5÷10=1.25
constant proportionality should be same all through because it's a constant
4) A piece of hematite contains 70%
iron. If the hematite weighed 60g,
how much iron would there be?
6) A survey of 250 trees in a small
Answer:
42g
Step-by-step explanation:
70% of 60 = 42
What addition statement does this show? A. 5.2 + 6.4 = –11.6 B. –5.2 + 6.4 = –11.6 C. 5.2 + (–6.4) = –11.6 D. –5.2 + (–6.4) = –11.6
Answer:
A
Step-by-step explanation:
write 0.824 as a fraction in the simplest form
I need to know how to solve this equation
Answer:
D
Step-by-step explanation:
a
--- + 8 = 4
-2.1
a
---- =4 - 8
-2.1
a
--- = -4
-2.1
a= -4 × -2.1
a= 8,4
This exercise involves the formula for the area of a circular sector. The area of a circle is 700 m2. Find the area of a sector of this circle that subtends a central angle of 3 rad.
Answer:
334.4 m²
Step-by-step explanation:
The formula for the area of a sector is given as:
1/2 × r² × θ
Where θ = Central angle
Area of a Circle = 700 m²
The formula for the area of a circle = πr²
r = Radius of a circle
r² = Area / π
r = √Area / π
r = √700/π
r = 14.927053304 m
Approximately, r = 14.93 m
Therefore, the area of the sector
= 1/2 × r² × θ
= 1/2 × 14.93² × 3 rad
= 334.35735 m²
Approximately, Area of the sector = 334.4 m²
PLEASE HELP!!!
WILL MARK BRAINLIEST!!!
Solve for X and Y in the rectangle.
Thank you!m
Y = 20
X = 70
We know Y is 20 because both triangles are the same size. 20 is in the opposite corner to Y. The right corner is 90 degrees. There are 180 degrees in a triangle. To get your answer you are going to add 20 and 90 to get 110 then you will subtract 110 from 180.
There are 6 chef assistants and 2 servers. How many staff are working there?
Answer: 8
Step-by-step explanation:
are you in elementary school
Answer:
8 staff
Step-by-step explanation:
6 +2 = 8 There are 8 staff working there.
If this is done a different way explain or lmk? Hope you are having a wonderful day!! Of not it'll get better I promisee! <33 :))
Jenn can rake the yard in 4.75 hours. Kathy can do the raking job in 7 hours. How long will it both girls working together?
Answer:
4.75 hour
Step-by-step explanation:
What is the slope of the line shown below?
10
O A. 2
5
(3,6)
OB. 4
O c. -4
-5
10
15
5
(1,-2)
-5
O D. 2
-10
Answer:
B
Step-by-step explanation:
Slope Formula
6 - (-2) / 3 - 1
8 / 2 = 4
The slope of the graph is 4.
Option B is the correct answer.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
The coordinates from the graph are:
(1, -2), and (3, 6)
Now,
Slope.
= (6 -(-2)) / (3 - 1)
= (6 + 2) / 2
= 8/2
= 4
Thus,
The slope of the graph is 4.
Learn more about equation of a line here:
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Name this triangle by its sides and angles. This is a(n) ____________________ triangle.
a triangle with one right angle and three non-congruent sides
right triangle
Hope this helps! :)
Whats the order of rotational symmetry for brainlest
Answer:
1Step-by-step explanation:
A circle has rotation symmetry around the center for every angle. A circle has an unlimited number of angles of symmetry and the order of its rotation is infinite.
what is the value of a?
Hope this help!!!
Have a nice day!!!
The Sugar Sweet Company is going to transport its sugar to market. It will cost $3375 to rent trucks, and it will cost an additional $125 for each ton of sugar transported. Let C represent the total cost (in dollars), and let S represent the amount of sugar (in tons) transported. Write an equation relating C to S, and then graph your equation using the axes below.
Answer:
C = 125S + $3750
Step-by-step explanation:
$ 3750 = truck rental; $125 per ton of sugar transported. C is the cost; S is the number of tons transported. The equation relating C to S would be a linear equation like y = mx + b. This equation would be graphed in the first quadrant only. You would start with your y-intercept at (0, 3750). As x increases by 1, your y increases by 125 yielding these points:
(1, 3875) (2, 4000) (3, 4125) etc.
This shows that for each increase by one ton of sugar, the cost goes up $125
Any help to solve this one?
Answer:
Step-by-step explanation:
[tex]81^{1/2}[/tex]
[tex]3^4*{1/2}[/tex]
[tex]3^{4/2}[/tex]
[tex]3^{2}[/tex]
9
[tex]-16^{3/4}[/tex]
[tex](-2)^{4 *3/4}[/tex]
[tex](-2)^{12/4}[/tex]
[tex](-2)^{3}[/tex]
-8
what is 1 6/9 +5 9/7
[tex]\longrightarrow{\green{7 \frac{20}{21}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex]1 \frac{6}{9} + 5 \frac{9}{7} \\ \\ = \frac{15}{9} + \frac{44}{7} \\ \\ = \frac{15 \times 7}{9 \times 7} + \frac{44 \times 9}{7 \times 9} \\ \\ = \frac{105 + 396}{63} \\ \\ = \frac{501}{63} \\ \\ = \frac{167}{21} \\ \\ = 7 \frac{20}{21} [/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}[/tex]
Show two different ways to divide the composite figure. Find the area both ways. Show your work (PLEASE HELP NO LINKS)
Answer:
2,799,360
Step-by-step explanation:
12x18x20x9x8x9=2,799,360
Area of complete figure in 1st way = 288 cm^2
Area of complete figure in 2nd way = 288cm^2
What is area of a rectangle ?
The area of a rectangle of length =l and breadth =b is length times its breadth . General formula of calculating area of rectangle is length * breadth
In first case we are dividing the figure horizontally
in which there occur an upper small rectangle of l = 12cm and breadth = 9 cm and a big rectangle of L 20cm and B= 9cm
area of 1st rectangle= l*b = 12 * 9 = 108 cm^2
area of 2nd rectangle = L*B = 20 * 9 = 180 cm ^ 2
area of complete figure in 1st way = area of 1st rectangle + area of 2nd rectangle
= 108 + 180 = 288 cm^2
In second case we are dividing the figure vertically
in which there occur an small rectangle of l = 8cm and breadth = 9 cm and a big rectangle of L =18cm and B= 12cm
area of 1st rectangle= l*b = 8 * 9 = 72 cm^2
area of 2nd rectangle = L*B = 18 * 12= 216 cm ^ 2
area of complete figure in 2nd way = area of 1st rectangle + area of 2nd rectangle
= 72 + 216 = 288cm^2
learn more about area of rectangle
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The sum or product of a non-zero rational number and an irrational number is always
rational.
irrational.
a repeating decimal.
a fraction.
Answer:
The sum or product of a non-zero rational number and an irrational number is always 1
Answer:
B
Step-by-step explanation:
What angle corresponds to 1/6 of a circle
How many quarts of pure antifreeze must be added to 8 quarts of a 40% antifreeze solution to obtain a 60% antifreeze solution
Let q be the number of quarts of pure antifreeze that needs to be added to get the desired solution.
8 quarts of 40% solution contains 0.40 × 8 = 3.2 quarts of antifreeze.
The new solution would have a total volume of 8 + q quarts, and it would contain a total amount of 3.2 + q quarts of antifreeze. You want to end up with a concentration of 60% antifreeze, which means
(3.2 + q) / (8 + q) = 0.60
Solve for q :
3.2 + q = 0.60 (8 + q)
3.2 + q = 4.8 + 0.6q
0.4q = 1.6
q = 4
If f(x)=2x+3 and g(x)= x^2-8find (f+g (x)
[tex] \large \boxed{(f + g)(x) = f(x) + g(x)}[/tex]
Use the following property above to find the value. Substitute f(x) and g(x) in.
[tex] \large{(2x + 3) + ( {x}^{2} - 8)} \\ \large{2x + 3 + {x}^{2} - 8}[/tex]
Evaluate/Combine like terms.
[tex] \large{2x + {x}^{2} - 5}[/tex]
This step is optional but it's the best to arrange the degree.
[tex] \large{ {x}^{2} + 2x - 5} \\ \large{(f + g)(x) = {x}^{2} + 2x - 5}[/tex]
Answer
(f+g)(x) = x²+2x-5Let me know if you have any doubts!
What is the vertex of the absolute value function below?
Answer:
(-3,2)
Step-by-step explanation: The bottom most point of the graph is 3 back from 0 and 2 up from 0
The following data are monthly rents (in dollars) of studio and one-bedroom apartments in Harrisburg, Pennsylvania, in 2007, obtained from a random sample of such apartments advertised at rent.com in July 2007:
500, 549, 569, 575, 585, 600, 630, 680, 705, 790, 845
The mean of these eleven rent prices is $638.91 ,and the standard deviation is $105.93 .
1. Determine the standard error of the sample mean.
2. Describe what the population mean µmeans in this context.
3. Determine a 95% confidence interval for µ.
4. Write a sentence interpreting what this interval means.
5. Would you expect about 95% of the studio and one-bedroom apartments in Harrisburg in July 2007 to have a rent price within this interval? Explain.
Answer:
Part 1
SE= 31.94
Part2;
The population mean tells us that what would be the mean of all the monthly rents (in dollars) of studio and one-bedroom apartments in Harrisburg, Pennsylvania, in 2007.
Part 3:
576.31, 701.51
Part4:
This means that the 95%of the interval 576.31, 701.51 will have contain the value of the population parameter mean u.
Part 5:
Yes. out of 100 , 95 of the intervals will contain the true value of population mean u .
Step-by-step explanation:
Part 1
The standard error is calculated using the formula
SE = S/√n
where s is the standard deviation of the sample = $ 105.93
and n is the sample size= 11
Putting the values we get
SE= $ 105.93/ √11= 31.939
Part2;
The population mean tells us that what would be the mean of all the monthly rents (in dollars) of studio and one-bedroom apartments in Harrisburg, Pennsylvania, in 2007.
Part 3:
The z∝/2 value for 0.05 is ± 1.96
The 95 % confidence interval will be given by
x` ±z ∝/2 * s/√n
Putting the values
638.91 ± 1.96 * 31.94
638.91 ± 62.6006
576.31, 701.51
Part4:
This means that the 95%of the interval 576.31, 701.51 will have contain the value of the population parameter mean u.
Part 5:
Yes when the hypothesis testing is done and the sample mean is found to be equal to the population mean then it means that the population mean is to be found in this interval; 95% .
Or out of 100 , 95 of the intervals will contain the true value of population mean u.
What is the solution to the equation blow?
x + 6 = 24
