After a grueling year of work, you (Padcha) decide you need absolute peace and quiet for about a month (February). You visit San Pedro de Atacama in the Atacama dessert of Chile, one of the most pristine and beautiful spots on earth. Every morning you have an espresso with a Swiss veterinarian, Dieter, that has retired there and maintains a small hotel and cafe. After week 2 of peace and quiet you become restless for a more meaningful existence.
In a conversation Dieter you learn that he also raises Llama's, Alpacas, and Vicuñas (all members of the Camel Family) for their wool. The conversation follow--
Dieter: "Padcha, I have this problem related to the nutrition of my animals. I know the nutritional content of the feeds I have available (see the Daily Nutritional Requirements for Animals table). I also know the cost of a kilogram of each feed (see table). I would love to have a way of selecting a mix of Corn, Tankage, and Alfalfa that minimizes my daily cost of providing good nutrition for my animals."
Padcha: "Dieter, I think I might be able to help. In LP optimization, there is a problem that is called the nutrition problem. Of course, it is not only about nutrition, it's also about allocating available resources, in an optimal way (minimal cost), to satisfy requirements. You can image, that there are a lot of problems like that in business. A typical constraint, say for carbohydrates, would read-- the number of kilos of Corn times 90, plus the number of kilos of Tankage times 20, plus the number of kilos of Alfalfa times 40 must equal a minimum 200 units of carbohydrates. The constraint shows how we use the resources/decision variables (kilos of Corn, etc.) to satisfy nutritional needs.
Daily Nutritional Requirements for Animals
Kg. Corn KG. Tankage Kg. Alfalfa Min. Daily Reqs.
Carbohydrates 90 20 40 200
Protein 30 80 60 180
Vitamins 10 20 60 150
$Cost of feed/Kg. 35 30 25
a) What is the LP for the nutrition problem?
b) Solve the problem using Solver. What is the value of the optimal solution? What is the number of kilos of Corn, Tankage, and Alfalfa? (Place the Answer Report below)
c) What if the requirements were raised by 1 unit for carbohydrates (from 200 to 201). Without re-solving the problem, what is the new optimal solution value and the units of carbohydrates? (Provide the logic for your answer.)
d) What is the allowable range of values for the coefficient of the Tankage in the objective function, for which a change of the optimal decision variables will not occur?

Answer:

The decimal 0.6 is a rational number. It is the decimal form of the fraction 6/10.

Answer:

Yes. 0.6 is a rational number.

Answer:

320M

Step-by-step explanation:

It is given that Canada's population is 1/10th of the USA's population, essentially meaning that the US's population is 10x that of Canada's. Therefore, if Canada's population is 32M, multiply 10 to that:

32,000,000 x 10 = 320,000,000

320,000,000 people live in the US.

~

If the segments are congurent they are of equal length.

So constructing an equation will not be hard.

Take for example [tex]y=x[/tex] and limit x to be between and including 0 and 1 for the first segment. In this case our segment is [tex](a,b)\to(c,d)=(0,0)\to(1,1)[/tex].

Now, d has been fixated to the value of 1 and we need to construct a segment from [tex](1,e)\to(1,f)[/tex].

Since both x coordinates of the endpoints of the segment are fixed to be 1, we cannot run anymore, that is, we fixated our run. But on the rise (y-axis direction) we can still move one unit up.

Let e be 1 and f be 2. The distance between [tex](1,1)[/tex] and [tex](1,2)[/tex] is 1 which is also the distance between [tex](0,0)[/tex] and [tex](1,1)[/tex].

Now we are asked to find the equation of both segments.

First segment is described by [tex]y=x[/tex] with limited domain of [tex]0\leq x\leq1[/tex].

Second segment is described by [tex]x=2[/tex] with again limited domain of [tex]1\leq y\leq2[/tex].

Hope this helps :)

The length, l of a segment with points (x₁, y₁), and (x₂, y₂) is presented as follows; [tex]l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]

An equation that can be created given that the segment with points (a, b) and (c, d), and the segment with points (d, e), and (d, f) are congruent is presented as follows;

√((d - b)² + (c - a)²) = f - e

The reason the above equation is correct is presented as follows;

Given that the segments are congruent, therefore;

Length of (a, b) and (c, d) = Length of (d, e) and (d, f)

Length of (a, b) and (c, d) = √((d - b)² + (c - a)²)

Length of (d, e) and (d, f) = √((f - e)² + (d - d)²) = f - e

Which gives the equation;

√((d - b)² + (c - a)²) = f - e

Learn more about segments in the coordinate plane here:

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Answer:

D

Step-by-step explanation:

hhgxhsbjxkxjebdibfhejx

Answer:

25 is the answer because the numbers are in the relation of (×2+1). 5×2+1=11 7×2+1=15 9×2+1=19 12×2+1=25.

There are 13 ways to make change for 60¢ using only nickels, dimes and quarters.

In the United States of America, a nickel equals 0.05 dollar, a dime equals 0.10 dollar and a quarter equals 0.25 dollar.  

For 0.60 dollar we have the following expression in terms of nickels ([tex]n[/tex]), dimes ([tex]d[/tex]) and quarters ([tex]q[/tex]):

[tex]0.25\cdot q + 0.10\cdot d + 0.05\cdot n = 0.60[/tex], where [tex]q,\,d,\,n \in \mathbb{N}_{O}[/tex] (1)

Since quarters are the money of greatest value, we assume arbitrary quantities and count corresponding solutions, whose representations are included below:

[tex]n = 12-2\cdot d[/tex] (2)

According to the first graph, there are seven forms in this scenario.

Case 2 ([tex]q = 1[/tex])

[tex]n = 7-2\cdot d[/tex] (3)

According to the graph case_2, there are four forms in this scenario.

[tex]n = 2- 2\cdot d[/tex]

According to the graph case_3, there are two forms in this scenario.

Hence, there are 13 forms to make change for 60¢ using only nickels, dimes and quarters. [tex]\blacksquare[/tex]

To learn more on combinations, we kindly invite to check this verified question: https://brainly.com/question/1216161

Answer:

7% of composed of other elements

Step-by-step explanation:

you have to add the percentages you have then fi d the missing amount

Answer:

7%

Step-by-step explanation:

65 + 18 + 10 = 83 + 10 = 93

100- 93 = 7

7%

The volume of the given figure us = 36 cubic units

The formula for calculating the volume of rectangular prism is expressed as:

V =lwh

where

l is the length

w is the width

h is the height

T of the given figure is expressed as:

V = 2(3)(5) + 2(3)(1)

V = 30 + 6

V = 36 cubic units

Hence the volume of the given figure is 36 cubic units

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9514 1404 393

Answer:

  (b)  6^10/7^6

Step-by-step explanation:

The applicable rules of exponents are ...

  (a/b)^c = (a^c)/(b^c)

  (a^b)^c = a^(bc)

__

This means you have ...

  [tex]\left(\dfrac{6^5}{7^3}\right)^2=\dfrac{(6^5)^2}{(7^3)^2}=\dfrac{6^{5\cdot2}}{7^{3\cdot2}}=\boxed{\dfrac{6^{10}}{7^6}}[/tex]

__

Additional comment

I find it helpful to remember that an exponent signifies repeated multiplication. Then ...

  [tex]\left(\dfrac{6^5}{7^3}\right)^2=\left(\dfrac{6^5}{7^3}\right)\cdot\left(\dfrac{6^5}{7^3}\right)=\dfrac{6^5\cdot6^5}{7^3\cdot7^3}=\dfrac{6^{5+5}}{7^{3+3}}=\dfrac{6^{10}}{7^6}[/tex]  

9514 1404 393

Answer:

  19.3 g/cm³

Step-by-step explanation:

There are 2.54 cm in one inch, so the weight of 1 cm³ is ...

   (316 g/in³) ÷ (2.54 cm/in)³ = 19.3 g/cm³

9514 1404 393

Answer:

  (c)  16

Step-by-step explanation:

The figure will be a parallelogram when opposite angles are congruent. We already know X and Z are congruent, so we need to find x so that W = Y.

  x +3 = 2x -13

  16 = x . . . . . . . . . . add 13-x to both sides

Answer:

Step-by-step explanation:

DC=2-0=2

Or

DC=√[(2-0)²+(-2-(-2))²]=√[4+(-2+2)²]=√4=2

BC=(0-(-2))=2

Or

BC=√[(2-2)²+(-2-0)²]

=√[0+4]

=2

AB=√[(2-0)²+(0-4)²]

=√[4+16]

=√20

=2√5

Perimeter=2[DC+BC+AB]

=2[2+2+2√5]

=2[4+2√5]

=8+4√5 Units

The level of measurement that is most appropriate for the temperatures of eight different plastic spheres is the interval scale.

An interval scale shows magnitude and order. It shows numerical difference between values on same scale which are distinguished and are equal.

One common property of the interval scale is that it has an arbitrary zero point which is perfectly exhibited by the temperature measurement. This implies that the scale of measurement has no zero point because zero on the Centigrade scale is 32 degrees on the Fahrenheit scale.

Therefore, temperature measurement of eight different spheres can be regarded as an interval scale.

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Step-by-step explanation:

B)1.supplementary

2.complementary

3complementary

4supplementary

5supplementary

6complementary

C)1.40

2.35

3.63

4.130

Answer:

12.7 m

Step-by-step explanation:

use pythagorean theorem

[tex]13^{2} + b^{2} = 18.2^{2}[/tex]

rounds to 12.73735

not fully sure if that's right

Answer:

98765 is the greatest digit that can be formed using those numbers

Answer:11/3

Step-by-step explanation:

The property of real numbers that justifies the work done to simplify the expressions below is the distributive property of multiplication.

The distributive property of multiplication states that the same result is obtained by multiplying the sum of two or more addends by a number or multiplying each addend individually and adding the products.

The steps for the distributive property of multiplication are:

Thus, the property of real numbers that justifies the work done to simplify the expressions below is the distributive property of multiplication.

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Horse = x = 1 head and 4 feet

Chicken =y = 1 head and 2 feet

Horse + chicken = x + y = 43 ( total heads)

Horse = 43 - y

4x + 2y = 122

4(43-y) + 2y = 122

Simplify:

172-4y + 2y = 122

Combine like terms

172-2y = 122

Subtract 172 from both sides

-2y = -50

Divide both sides by-2

Y = 25

X + y = 43

X + 25 = 43

X = 18

There are 18 horses and 25 chickens.

The answer you are looking for is x=3.

Solution/Explanation:

First, writing out the equation,

2x+4+2=7x-6-3.

Next, simplifying the equation just a little bit more, with the four numbers that do not include the variable "x" at all,

2x+6=7x-9.

Now, subtracting 7x from both sides of the equation,

2x+6-7x=7x-9-7x.

Regrouping the positions of the terms, using the Associative Property,

2x-7x+6=7x-7x-9.

Simplifying, and also, canceling out the 7x, since 7x-7x=0.

2x-7x+6=0-9, or 2x-7x+6=-9.

Simplifying "2x-7x," which is -5x,

-5x+6=-9.

Now, subtracting 6 from both sides,

-5x+6-6=-9-6.

Canceling out the "6," since 6-6=0,

-5x=-9-6.

Solving for "-9-6," which is "-15,"

-5x=-15.

Finally, dividing both sides by "-5,"

-5x/-5=-15/-5.

Simplifying "-5x/-5=-15/-5,"

-5x/-5=x.

And, also, -15/-5=3.

This eventually leads to x=3.

So, therefore, the final answer is x=3.

I hope that this has helped answer your question. Good day to you.

Answer:

The answer is x=3.

Step-by-step explanation:

2x+6=7x-9

-5x=-15

x=3

Answer:

105+105+2x=360 and x=75

Step-by-step explanation:

z=75

Answer:

Step-by-step explanation:

Answer:

1200 pound

Step-by-step explanation:

year 1: 2 rabbits

year 2: 2 rabbits x 3 = 6 rabbits

year 3: 6 rabbits x 3 = 12 rabbits

12 rabbits x 100 pounds = 1200 pounds

Answer:

1 7/8

Step-by-step explanation:

Step-by-step explanation:

for y = 35 we get

-(y + 5) = -(35 + 5) = -(40) = -40

-y - 5 = -35 - 5 = -40

both deliver the same result.

Answer:

Step-by-step explanation:

[tex]u_{n+1}=u_n+n+5\\\Longrightarrow\ u_{n+2}=u_{n+1}+(n+1)+5\\u_{n+2}-u_{n+1}=u_{n+1}+n+1+5-u_n-n-5\\u_{n+2}=2u_{n+1}-u_n+1\\u_{n+3}=2u_{n+2}-u_{n+1}+1\\\\u_{n+3}-u_{n+2}=2u_{n+2}-u_{n+1}+1 -2u_{n+1}+u_n-1\\\\u_{n+3}-3u_{n+2}+3u_{n+1}-u_n=0\\\\\\Equation\ caract\' eristique:\\r^3-3r^2+3r-1=0\\(r-1)^3=0\\\\\boxed{u_n=a+b*n+c*t^2}\\\\u_1=5\\u_2=11\\u_3=18\\u_4=a+4*b+16*c=26\\u_5=a+5*b+25*c=35\\u_6=a+6*b+36*c=45\\\\[/tex]

a=0

b=9/2

c=1/2

Proof:

n=1 ==> u_1=1/2*(9+1)=5

n=2 ==> u_2=2/2*(9+2)=11

n=3 ==> u_3=3/2*(9+3)=18

n=4 ==> u_=4/2*(9+4)=26

n=5 ==> 5/2*(9+5)=35

n=6 ==> 6/2*(9+6)=45

...

Answer: i have found one that calculates differences when given a sigma with a sigma rule, you could adjust the formula for patterns, if you create a sigma equation and then apply the formulas and then make up a pattern that falls within it, knowing the connection is they go up in the same numbers or knowing it and for some patterns being able to solve it.  when given such a sigma problem such as n=1 sigma 3 is the end point 7n-1 is the rule, we would use the value of n until the end point 3, but consider 7n-1 equal to 6+13+20 which equals 39 since 7*1-1=6 and 7*2-1=13, 7*3-1=20 and 6+13+20 is 39. remeber it is equal to that since we plug the value of n from the starting point to the end point of any sigma. a1=7*n-1=6,a2=7*2-1=13,  7*3-1=21 is what you should manipulate for another sigma problem that calculates the diffrence of a sequence as well as its total. the one equation that calculates the total of your patterns is:∑_(n=0)^20▒〖7n-0=140〗

the ones i know to find that represent the patterns in terms of what it would be in the nth term is 58ns it represents what the pattern would be in the nth terms but it is not equal to the pattern.

    finding the nth term by looking for an expression to use for the nth term is the same as finding an expression representing the nth term. the nth term is is the numerical difference in the given series with the letter n on the right of that and the number from the beginning of a series in some cases. one more thing for a negative number at the beginning of a pattern you get the missing number i.e the numerical difference on the left and then and the function of the first number. for example:  there is a pattern going from -1 to 19 so the pattern would be -1, 3, 7,11, 15,19. the numerical difference is 4, n is the letter that would come after and -1 , -1 is a function in the area of nth term since the whole expression would be 4n subtracted by 1 and subtraction is a function, a function is a operation in mathes.          

Step-by-step explanation:        

11-5=6

18-11=7

26-35

45-35=10

6+7+35+10=13+45=58 (the differences added up)

5+11+18, 26+35+45​=140        

According to the table,

• € 1 = R 12,75

• $ 1 = € 0,70

• $ 1 = R 8,89

Then

€ 250 × (R 12,75 / € 1) = R 3.187,5

$ 1300 × (€ 0,70 / $ 1) = € 910

$ 680 × (R 8,89 / $ 1) = R 6.045,2

Answer:

Line 1: (9+x)x

Line 2: x(9 + x)

The order of multiplies changed.

This is called a Commutative Property of Multiplication.

Line 3: x(x+9)

The order of added terms within parenthesis changed.

This is called a Commutative Property of Addition.

Line-1 to Line 2- Commutative property of multiplication

Line-2 to Line-3 =Commutative property of addition

Lets solve

[tex]\\ \rm\longmapsto (9+x)x[/tex]

[tex]\\ \rm\longmapsto x(9+x)[/tex]

[tex]\\ \rm\longmapsto x(x+9)[/tex]

[tex]\\ \rm\longmapsto x^2+9x[/tex]

[tex]\\ \sf\longmapsto m<1+m<CUS=m<CUB[/tex]

[tex]\\ \sf\longmapsto m<1+48=78[/tex]

[tex]\\ \sf\longmapsto m<1=78-48[/tex]

[tex]\\ \sf\longmapsto m<1=30[/tex]

Answer:

6

Step-by-step explanation:

The Volume is 4×6×9, which is 216

∛216

The cube root is 6.

I hope this helps!

pls ❤ and mark brainliest pls!