what is the slope of the line ? (100 points)

The answer you are looking for is C

Answer:

Maximize

z = 70(Xs1 + Xn1 ) + 40(Xs2 + Xn2 ) - 10 (Xs1 + Xs2 ) - 15(Xn1 + Xn2 )  

Subject to the constraints  

Xs1 + Xs2 ≤ 100

Xn1 + Xn2 ≤ 80

Xn1 ≥ 0.4 ( Xs1 + Xn1 )

Xs2 ≥ 0.7 ( Xs2 + Xn2 )

All Variables ≥ 0

Step-by-step explanation:

Firstly lets consider Xs1 and Xs2 to be the number of pounds of silicon used in fertilizer1 and fertilizer2 respectively

Also let Xn1 and Xn2 be the number of pounds of nitrogen used in fertilizer1 and fertilizer2 respectively

We know that the objective is to maximize the profits of Bullco.

z = [(Selling price of fertilizer1) (Amount of silicon and nitrogen used to produce fertilizer1) + (Selling price of fertilizer2) (Amount of silicon and nitrogen used to produce fertilizer2) - (Cost of silicon) (Amount of silicon used to produce fertilizer I and 2) - (Cost of nitrogen) (Amount of nitrogen used to produce fertilizer I and 2)]

so

z = 70(Xs1 + Xn1 ) + 40(Xs2 + Xn2 ) - 10 (Xs1 + Xs2 ) - 15(Xn1 + Xn2 )  

Now

Constraint 1;  At most, 100 lb of silicon can be purchased

Amount of silicon used to produce fertilizer 1 and 2 ≤ 100

Xs1 + Xs2 ≤ 100

Constraint 2; At most, 80 lb of nitrogen can be purchased

Amount of nitrogen used to produce fertilizer 1 and 2 ≤ 80

Xn1 + Xn2 ≤ 80

Constraint 3; Fertilizer 1 must be at least 40% of nitrogen

Amount of nitrogen used to produce fertilizer 1 ≥ 40% (fertilizer 1)

Xn1 ≥ 0.4 ( Xs1 + Xn1 )

Constraint 4; Fertilizer 2 must be at least 70% of silicon

Amount of silicon used to produce fertilizer 2  ≥ 70% (fertilizer 2)

Xs2 ≥ 0.7 ( Xs2 + Xn2 )  

so the formulization of the given linear program is,  

Maximize

z = 70(Xs1 + Xn1 ) + 40(Xs2 + Xn2 ) - 10 (Xs1 + Xs2 ) - 15(Xn1 + Xn2 )  

Subject to the constraints  

Xs1 + Xs2 ≤ 100

Xn1 + Xn2 ≤ 80

Xn1 ≥ 0.4 ( Xs1 + Xn1 )

Xs2 ≥ 0.7 ( Xs2 + Xn2 )

All Variables ≥ 0

Answer:

Step-by-step explanation:

1. Use of lubricants

Lubricants like oil and grease helps to decrease friction by forming a thin film in between different parts of the machine. This film covers up the scratches and bumps on the surfaces of different parts. This reduces interlocking between the two surfaces.  Thus reducing the friction.

2. Use ball bearings

Two moving surfaces in a machine are attached by placing small steel balls or steel rollers  in between them. This way, the moving parts avoid direct contact and the force of sliding friction turns into rolling friction. Rolling friction is less than sliding friction, in doing so reducing the friction.

3. Polishing

Polishing reduces the unevenness  of a surface. This will reduce interlocking between the surfaces.  

4. Streamlining

Streamlining is the process where you make a machine in a shape that avoids air and water resistance. This reduces friction because a streamlined object cuts through the water and air molecules.

The point represent is F.

A number line is a visual representation of numbers on a straight line. This line is used to compare numbers that are placed at equal intervals on an infinite line that extends on both sides, horizontally or vertically. As we move towards the right side of a horizontal number line, the numbers increase; as we move towards the left, the numbers decrease.

Given:

point on the number line represents 7 less than 4

=4-7

=-3

So, the point that represent -3 is F

Learn more about number line here:

https://brainly.com/question/13189025

#SPJ2

Answer:

6.569

Step-by-step explanation:

get a calculator but hears the answer

Answer:

235

Step-by-step explanation:

11.75 x 20 = 235

9514 1404 393

Answer:

  $600

Step-by-step explanation:

Put the give numbers into the interest formula and do the arithmetic.

  I = Prt . . . . . interest on principal P at rate r for time t

  I = $5000×0.03×4 = $600

You would earn $600 interest.

Answer:

The probability is [tex]P(k) = \frac{4}{25}[/tex]

Step-by-step explanation:

From the question we are told that

   The number of pens from the drawer is  n =  5

   The number of pens that doesn't work is  k =  2

The probability that a does not work is

             [tex]p = \frac{k}{n}[/tex]

=>          [tex]p = \frac{2}{5}[/tex]

The probability that a pen works is

           [tex]q = 1- p[/tex]

           [tex]q = 1- \frac{2}{5}[/tex]

    =>   [tex]q = \frac{3}{5}[/tex]

Generally the probability that ending up with a pen that doesn't work is mathematically represented as  

            [tex]P(k) = p^2[/tex]

=>         [tex]P(k) = [\frac{2}{5} ]^2[/tex]

=>        [tex]P(k) = \frac{4}{25}[/tex]

The probability that you randomly grab two pens from the drawer and don’t end up with a pen that works is [tex]\dfrac{4}{25}[/tex].

Given information:

The number of pens in the drawer is [tex]n=5[/tex].

The number of pens that doesn't work is [tex]a=2[/tex].

So, the number of pens which works will be, [tex]b=5-2=3[/tex].

The probability of grabbing a pen that doesn't work will be,

[tex]P_a=\dfrac{2}{5}[/tex]

Now, two pens are grabbed randomly from the drawer. So, the probability that you randomly grab two pens from the drawer and don’t end up with a pen that works will be calculated as,

[tex]P=(P_a)^2\\P=\dfrac{2}{5}\times \dfrac{2}{5}\\P=\dfrac{4}{5}[/tex]

Therefore, the value of the required probability will be [tex]\dfrac{4}{5}[/tex].

To know more about the random picking, refer to the link:

https://brainly.com/question/13448455

Answer:

The Bill of Rights was added to the Constitution in the form of amendments. The chief purpose of the amendments was to protect the rights of individuals from the government's interference. They guarantee rights such as religious freedom, freedom of the press, and trial by jury to all American citizens.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Step 1: Subtract 3x from both sides.

5x−4−3x=3x+18−3x

2x−4=18

Step 2: Add 4 to both sides.

2x−4+4=18+4

2x=22

Step 3: Divide both sides by 2

2x/2= 22/2

     x= 11

Answer:

$2.69

Step-by-step explanation:

We can divide the cost in dollars to the gallons of gasoline to find the rate of change.

16.14 / 6 = $2.69

21.52 / 8 = $2.69

24.21 / 9 = $2.69

32.28 / 12 = $2.69

53.80 / 20 = $2.69

This means that each gallon costs $2.69, in other words this is the rate o change.

Best of Luck!

Answer:

3 (4 r + 5)

Step-by-step explanation:

Factor the following:

12 r + 15

Hint: | Factor out the greatest common divisor of the coefficients of 12 r + 15.

Factor 3 out of 12 r + 15:

Answer: 3 (4 r + 5)

Answer:

r=5

Step-by-step explanation:

Step-by-step explanation:

HJ+5=20

HJ=20-5

HJ=15

Answer:

18684 I believe

Step-by-step explanation:

Answer:

It would be 3.8

Step-by-step explanation:

.38*10=3.8

Answer:

P

Step-by-step explanation:

divide y by x:

Column A: 1/4

Column B: 3/12

Column C: 4/16

Column D: 6/24

In all cases, these fractions can be simplified to 1/4. Therefore, there is proportionality.

Answer:

A=  4/1  = 4

B= 12/3 = 4

C= 16/4  = 4

D= 24/6 = 4

hope this helps

Answer:

x = 55°

Step-by-step explanation:

I hope this helps!

Answer:

a. 112

b. 68

c. 90.

d. 90

e. 22

f. 158.

Answer:

A rocket ship is travelling at an average speed of 1.75 × 104 miles per hour. How many miles will the rocket ship travel in 1.2 × 102 hours?

1. Write the expression:       (1.75 × 104)(1.2 × 102)

2. Rearrange the expression:     (1.75 × 1.2)(104 × 102)

3. Multiply the coefficients:      (2.1)(104 × 102)

4. Apply the product of powers:    2.1 × 10y

The rocket ship will travel 2.1 × 10y miles. What is the value of y in the solution?

y =  

Step-by-step explanation:

6

Answer:

D

Step-by-step explanation

124 times 3 is 372

Answer:

is there more to it? i dont get it

Step-by-step explanation:

the acceleration of the car is 25.00 m/s

Answer: 2 has the same absolute value as -2 .

Answer:

2

Step-by-step explanation:

The absolute value of any negative number  will always be positive

Answer:

x > 10

Step-by-step explanation:

x-3 > 7

Add 3 to each side

x-3+3 > 7+3

x > 10

Answer: x<4

Step-by-step explanation:

x< 4 is anything less than 4, in order to make the equation true, you need something less than 4

Answer:

I believe x is greater than or equal to 1